exploration/attention_exploration.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Attention Exploration"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this notebook, through visualization and experimentation, we examine attention output from various huggingface Transformer implementations and fine-tunings to gathering a better understanding of working with these models and their output, including resultant attention matrices."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "!pip install sentencepiece\n",
    "!pip install transformers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "!pip3 install torch==1.9.0+cu111 torchvision==0.10.0+cu111 torchaudio==0.9.0 -f https://download.pytorch.org/whl/torch_stable.html"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "id": "g3MbMZ85UQt8",
    "tags": []
   },
   "outputs": [],
   "source": [
    "!pip install wget"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "mT3dQzu5g1ip",
    "outputId": "8a60d6ea-2f55-4369-ec96-b71aa6fd96e3"
   },
   "outputs": [],
   "source": [
    "import numpy as np, sklearn as sk\n",
    "import sklearn.metrics as SM\n",
    "import numpy.linalg as LA\n",
    "import matplotlib.pyplot as plt\n",
    "import scipy.spatial as sp"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "8rt7xUrZNSY-",
    "outputId": "0a125751-4cc1-4df0-b709-854857bfb49d"
   },
   "outputs": [],
   "source": [
    "from google.colab import drive\n",
    "drive.mount('/content/drive')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "id": "NY2dkJjCNcfE"
   },
   "outputs": [],
   "source": [
    "!ls drive/MyDrive/Colab\\ Notebooks/"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "MDwSUGc1OtsC",
    "outputId": "3c4ecdad-6d51-488d-f237-61b5f4fa4cdb"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "./p/model_save/\n",
      "./p/model_save/tokenizer_config.json\n",
      "./p/model_save/config.json\n",
      "./p/model_save/pytorch_model.bin\n",
      "./p/model_save/vocab.txt\n",
      "./p/model_save/special_tokens_map.json\n"
     ]
    }
   ],
   "source": [
    "!tar -xzvf drive/MyDrive/Colab\\ Notebooks/bert_model.tar.gz -C drive/MyDrive/Colab\\ Notebooks/"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "id": "i9yMnmJGRPlF"
   },
   "outputs": [],
   "source": [
    "from transformers import BertForSequenceClassification, BertTokenizer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "id": "P1d1T0hSPCt-"
   },
   "outputs": [],
   "source": [
    "model_folder = 'p/model_save/'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = BertForSequenceClassification.from_pretrained(model_folder, output_attentions=True)\n",
    "tokenizer = BertTokenizer.from_pretrained(model_folder)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "id": "OvYXi7KtUCFD"
   },
   "outputs": [],
   "source": [
    "import wget\n",
    "import os\n",
    "\n",
    "url = 'https://nyu-mll.github.io/CoLA/cola_public_1.1.zip'\n",
    "if not os.path.exists('./cola_public_1.1.zip'):\n",
    "    wget.download(url, './cola_public_1.1.zip')\n",
    "if not os.path.exists('./cola_public/'):\n",
    "    !unzip cola_public_1.1.zip"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 393
    },
    "id": "TSaF4ExYRnU5",
    "outputId": "e7b28b56-641e-4445-ff13-e2ba17950463"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of training sentences: 8,551\n",
      "\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>sentence_source</th>\n",
       "      <th>label</th>\n",
       "      <th>label_notes</th>\n",
       "      <th>sentence</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>5115</th>\n",
       "      <td>ks08</td>\n",
       "      <td>0</td>\n",
       "      <td>*</td>\n",
       "      <td>This matter was on which I consulted with the ...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6824</th>\n",
       "      <td>m_02</td>\n",
       "      <td>1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>The cup was broken by Louise.</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7478</th>\n",
       "      <td>sks13</td>\n",
       "      <td>0</td>\n",
       "      <td>*</td>\n",
       "      <td>John not liked Mary.</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1264</th>\n",
       "      <td>r-67</td>\n",
       "      <td>1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>I screamed at some children who were watching me.</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3766</th>\n",
       "      <td>ks08</td>\n",
       "      <td>1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>My mother baked a cake for me.</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2443</th>\n",
       "      <td>l-93</td>\n",
       "      <td>1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>A flowering plant is on the windowsill.</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1686</th>\n",
       "      <td>r-67</td>\n",
       "      <td>0</td>\n",
       "      <td>*</td>\n",
       "      <td>John's I stole bike.</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>505</th>\n",
       "      <td>bc01</td>\n",
       "      <td>1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>We would prefer John to be the candidate.</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3215</th>\n",
       "      <td>l-93</td>\n",
       "      <td>1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>The room reeked.</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>83</th>\n",
       "      <td>gj04</td>\n",
       "      <td>0</td>\n",
       "      <td>*</td>\n",
       "      <td>The elevator rumbled itself to the ground.</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     sentence_source  ...                                           sentence\n",
       "5115            ks08  ...  This matter was on which I consulted with the ...\n",
       "6824            m_02  ...                      The cup was broken by Louise.\n",
       "7478           sks13  ...                               John not liked Mary.\n",
       "1264            r-67  ...  I screamed at some children who were watching me.\n",
       "3766            ks08  ...                     My mother baked a cake for me.\n",
       "2443            l-93  ...            A flowering plant is on the windowsill.\n",
       "1686            r-67  ...                               John's I stole bike.\n",
       "505             bc01  ...          We would prefer John to be the candidate.\n",
       "3215            l-93  ...                                   The room reeked.\n",
       "83              gj04  ...         The elevator rumbled itself to the ground.\n",
       "\n",
       "[10 rows x 4 columns]"
      ]
     },
     "execution_count": 41,
     "metadata": {
      "tags": []
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "\n",
    "# Load the dataset into a pandas dataframe.\n",
    "df = pd.read_csv(\"./cola_public/raw/in_domain_train.tsv\", delimiter='\\t', header=None, names=['sentence_source', 'label', 'label_notes', 'sentence'])\n",
    "\n",
    "# Report the number of sentences.\n",
    "print('Number of training sentences: {:,}\\n'.format(df.shape[0]))\n",
    "\n",
    "# Display 10 random rows from the data.\n",
    "df.sample(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "id": "Qu7yp3K8T-Nf"
   },
   "outputs": [],
   "source": [
    "import torch\n",
    "\n",
    "sentences = df.sentence.values\n",
    "labels = df.label.values\n",
    "input_ids = []\n",
    "attention_masks = []\n",
    "\n",
    "for sent in sentences:\n",
    "    encoded_dict = tokenizer.encode_plus(\n",
    "                        sent,\n",
    "                        add_special_tokens = True,\n",
    "                        max_length = 16,\n",
    "                        truncation=True,\n",
    "                        padding='max_length',\n",
    "                        return_attention_mask = True,\n",
    "                        return_tensors = 'pt',\n",
    "                   )\n",
    "    \n",
    "    input_ids.append(encoded_dict['input_ids'])\n",
    "    attention_masks.append(encoded_dict['attention_mask'])\n",
    "\n",
    "# Convert the lists into tensors.\n",
    "input_ids = torch.cat(input_ids, dim=0)\n",
    "attention_masks = torch.cat(attention_masks, dim=0)\n",
    "labels = torch.tensor(labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 37
    },
    "id": "XUMjPLRKUu4h",
    "outputId": "7a09b2b6-1f43-418b-cf56-fe109975c6bf"
   },
   "outputs": [
    {
     "data": {
      "application/vnd.google.colaboratory.intrinsic+json": {
       "type": "string"
      },
      "text/plain": [
       "'[CLS] bill rolled out of the room. [SEP] [PAD] [PAD] [PAD] [PAD] [PAD] [PAD] [PAD]'"
      ]
     },
     "execution_count": 206,
     "metadata": {
      "tags": []
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tokenizer.decode(input_ids[12])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "id": "ka3JpnxhXsDt"
   },
   "outputs": [],
   "source": [
    "input = input_ids[12].unsqueeze(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "id": "Cr6Pya2DU6iI"
   },
   "outputs": [],
   "source": [
    "output = model(input)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "BYJtncDdWmgo",
    "outputId": "4dab1dd4-0d06-45d0-d3b8-01c4c8a4c8b3"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "odict_keys(['logits', 'attentions'])"
      ]
     },
     "execution_count": 209,
     "metadata": {
      "tags": []
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "output.keys()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "nj1HrTNQY1w2",
    "outputId": "51a03bc3-26a0-4694-a61f-ad4df27ba08e"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "16"
      ]
     },
     "execution_count": 210,
     "metadata": {
      "tags": []
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(output.attentions[0][0][0][0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "id": "FS2HoM_UcW73"
   },
   "outputs": [],
   "source": [
    "def get_layers(attention, num_layers=12, num_heads=12):\n",
    "  layers = np.ndarray((num_heads,num_layers), np.ndarray)\n",
    "  for i, layer in enumerate(attention):\n",
    "    layer = layer.detach().cpu().numpy()[0]\n",
    "    for j, head in enumerate(layer):\n",
    "      layers[i,j] = head\n",
    "  return layers\n",
    "   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "id": "cNbo40sUgPSe"
   },
   "outputs": [],
   "source": [
    "def our_similarity(ph,qh):\n",
    "  dot_product = np.inner(ph, qh)\n",
    "  norm_ph = LA.norm(ph)\n",
    "  norm_qh = LA.norm(qh)\n",
    "  res = dot_product / (norm_ph * norm_qh)\n",
    "  return res"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "id": "EuKd6FzdgdOw"
   },
   "outputs": [],
   "source": [
    "def per_head(layers, fn):\n",
    "  max = np.ndarray((12,12), float)\n",
    "\n",
    "  for layer in range(0,12):\n",
    "    for head in range (0,12):\n",
    "      max[layer, head] = fn(layers[layer, head])\n",
    "    \n",
    "  map = plt.imshow(max, cmap='hot', interpolation='nearest')\n",
    "  plt.colorbar(map)\n",
    "  return map"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "id": "-1j1xeNigrlX"
   },
   "outputs": [],
   "source": [
    "def plot_layer_head_similarity(attention, num_layers=12, num_heads=12):\n",
    "  similarity = np.ndarray((12,12), np.ndarray)\n",
    "  for i in range(0,11):\n",
    "    p = attention[i].detach().cpu().numpy()\n",
    "    q = attention[i+1].detach().cpu().numpy()\n",
    "    fig, axis = plt.subplots(1,12, figsize=(20,5), facecolor='w', edgecolor='k')\n",
    "    plt.title(f'layer {i} x {i+1}')\n",
    "    head = 0\n",
    "    for axs, ph, qh in zip(axis.flatten(), p[0], q[0]):\n",
    "      assert ph.all() == qh.all()\n",
    "      # ph = ph * 1000\n",
    "      # qh = qh * 1000\n",
    "      # ph = ph.astype(int)\n",
    "      # qh = qh.astype(int)\n",
    "      # result = SM.pairwise.cosine_similarity(ph,qh)\n",
    "      result = our_similarity(ph, qh)\n",
    "      # result = sp.distance.cdist(ph,qh,'cosine')\n",
    "\n",
    "      # Raw Attention\n",
    "      heatmap = axs.imshow(ph, cmap='hot')\n",
    "\n",
    "      # Layer + 1 similarity\n",
    "      # heatmap = axs.imshow(result, cmap='hot')\n",
    "\n",
    "      similarity[i, head] = result\n",
    "      head += 1\n",
    "  plt.colorbar(heatmap)\n",
    "  return similarity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 1000
    },
    "id": "6R8K4GUthUwW",
    "outputId": "b6428210-e133-496e-dd3e-07f0847892b4"
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x360 with 12 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x360 with 12 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x360 with 12 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x360 with 12 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x360 with 12 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x360 with 12 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x360 with 12 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x360 with 12 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x360 with 12 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x360 with 12 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x360 with 13 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "similarity = plot_layer_head_similarity(output.attentions)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "J2CA7qRbgesx",
    "outputId": "6723dfae-6571-41c8-b4c7-fda36519bdb8"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(12, 12)"
      ]
     },
     "execution_count": 213,
     "metadata": {
      "tags": []
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "layers = get_layers(output.attentions)\n",
    "layers.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 282
    },
    "id": "isrQj2gVhVDq",
    "outputId": "36f8fd7f-2380-4775-85cf-9728a9dd9402"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f31c68f9550>"
      ]
     },
     "execution_count": 214,
     "metadata": {
      "tags": []
     },
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light",
      "tags": []
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(layers[1][1], cmap='hot', interpolation='nearest')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 282
    },
    "id": "mFL1Bv4Ph9rs",
    "outputId": "744ff520-b74f-43f0-edf0-7aa5578bf737"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f31c6536e90>"
      ]
     },
     "execution_count": 215,
     "metadata": {
      "tags": []
     },
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light",
      "tags": []
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ph = layers[1][2]\n",
    "qh = layers[2][2]\n",
    "\n",
    "result = our_similarity(ph,qh)\n",
    "plt.imshow(result, cmap='hot', interpolation='nearest')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 269
    },
    "id": "XSx98kzqiXgO",
    "outputId": "e6abf7b4-b730-4664-b9b6-0c221597d518"
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light",
      "tags": []
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "per_head(layers, np.max)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 276
    },
    "id": "33Bgpohrjjco",
    "outputId": "4b9e80b8-9454-4359-b9f1-8c63d05e9422"
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAATYAAAEDCAYAAAC/Cyi3AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAXQ0lEQVR4nO3df7RdZX3n8feHREwDCGIYoElosqZBm1ILegd/sFSWRCe0Suy0ZaClhRaadnVQrFUHhrV0SqdrqFpHu8p0ehciaaVgm6LGGsVIoThdwMoNP5QkImnsQDAQLghWHAyRz/xx9nXOPffce8+9e9+zz93381rrrJy993P2/p6T8OV59rOf55FtIiKa5LC6A4iIqFoSW0Q0ThJbRDROEltENE4SW0Q0ThJbRDROElsEIOk6SQckPVDR+T4kaaek3ZL+VJJm8NlzJe0qPv/XXY4vlfQFSd8oylzdduwiSU9Iuq94XVLBd/lwca2vSfqMpGPKnnOuJbFFtFwPrK/iRJJeD5wBvBI4Bfh3wJs6yqySdHuXz64BrgDOsP3TwLsnucxHbL8COA04Q9LZbcc+bfvU4nVt6S8E24BTbL8S+GYR30BLYosAbN8BPNW+T9K/lfQlSTskfVXSK3o9HbAEOBx4MfAi4PEeP/tbwDW2v1PEdaBLrN+3fVvx/iBwD7BiuhNLep+k7UXN6w96jAfbX7Z9qNi8q5dr1S2JLWJyw8A7bb8aeC/wP3v5kO07gduA/cXrFtu7e7zmycDJkv5J0l2SpqxFFs3CtwO3tu3+xSJ5bZa0sij3VmANcDpwKvBqSW/sMaZ2vwl8cRaf66vFdQcQMYgkHQm8HvjbtttjLy6O/Qfgqi4fe9T2v5f0k8BP8f9rNtskvcH2VyV9BlhNqzZ3kqT7ijIft/1JWv9NrgHOLD5/h6Sfsf10lxgXAzcCf2p7b7H788CNtn8g6beBTcCbgbcWr3uLckcW17lD0leAE7p8nyttf67telcCh4Abuv5oAySJLaK7w4CnbZ/aecD2zcDNU3z2F4C7bH8PQNIXgdcBX7X9C8W+VcD1ts/s+Ow+4G7bzwPfkvRNWgloe5frDAMP2f5YW2xPth2/FvhQ8V7Af7f9F12+z7opvgtFvBcBbwPO8jwYYJ6maEQXtr9LK7H8MoBafrbHjz8MvEnSYkkvotVx0GtT9LO0amtIWkarabq3s5Ck/wYcTUfngqQT2zbPabvuLcBvFjVRJC2X9G96CahoDr8fOMf293v8HrVKYosAJN0I3Am8XNI+SRcDvwpcLOl+YCewocfTbQb+Gfg6cD9wv+3P9/jZW4AnJe2idZ/ufWO1sLFmq6QVwJXAWuCejsc63lU8AnI/8C7gImh1AAB/Ddwp6etFjEf1GNOfFWW3Fdf6Xz1+rjaaB7XKiIgZSY0tIhqnr50Hy5bIq47o5xUjunvmqenL9OroY6s7V1n/8iyMPueeRzl0s379eo+OjvZUdseOHbfYruTB5ir1NbGtOgJGzp6+XMRc+3yFDyy8fYD+TQ9V8ITZ6OgoIyMjPZUtOjgGTh73iIgOpvW42vyVxBYRHQw8V3cQpSSxRUSH1NgionHmf2Ir9biHpPWSHpS0R9LlVQUVEXUaS2y9vAbTrGtskhYB1wBvoTW+bbukLbZ3VRVcRNRhYdfYTgf22N5bzAl1E70POYmIgbZAa2zAcuCRtu19wGs6C0naCGwEOGlpiatFRJ+8APyg7iBKmfMhVbaHbQ/ZHjpuyVxfLSLKW8D32IBHgZVt2yuKfREx7w1u0upFmcS2HVgjaTWthHYe8CuVRBURNZr/nQezTmy2D0m6lNb8UYuA62zvrCyyiKjJAk5sALa3AlsriiUiBsILZEhVRDTQAq6xRUQTLfCmaEQ0URJbLaqaJPDtv1rNeWL+yd/9VKpNbMUqVx+n1cl4re2ru5Q5F/ivxcXvt13qCYt5mdgiYi5Vl9h6GVMuaQ1wBXCG7e/0uizgVJLYIqJDpRNN/mhMOYCksTHl7ZNl/BZwje3vANg+UPaiWaUqIjpUOqSq25jy5R1lTgZOlvRPku4qmq6lpMYWER0M/LDXwsskta/8Mmx7eIYXXAysAc6kNTTzDkk/Y/vpGZ5n3AkjItrM6B7bqO2hKY73MqZ8H3C37eeBb0n6Jq1Et73XIDqlKRoRXVTWFP3RmHJJh9MaU76lo8xnadXWxpbzOxnYWyb61NgiokN1Q6omG1Mu6SpgxPaW4thbJe2i1QZ+n+0ny1w3iS0iOlT7HFu3MeW2P9D23sB7ilclktgiokNGHkREIyWxRUSjpMYWEY2TxBYRjZOJJiOikVJji4hGSVM0IhoniS0iGieJrRaZ/XThyuzJ/dLz7B4DaV4mtoiYS+kVjYjGSVM0IhoniS0iGieJLSIaKYktIhpl/ncezHpqcEkrJd0maZeknZIuqzKwiKhLpatU1aJMje0Q8Pu275F0FLBD0rb2hVAjYj5awPfYbO8H9hfv/1XSblrrBSaxRcx7CzSxtZO0CjgNuLvLsY3ARoCTllZxtYiYW/O/xlZ6+T1JRwJ/B7zb9nc7j9setj1ke+i4JWWvFhFzb/7fYyuV2CS9iFZSu8H2zdWEFBH1GusV7eU1PUnrJT0oaY+ky6co94uSLGmqBZh7UqZXVMAngN22P1o2kIgYJD/s8TU1SYuAa4CzgbXA+ZLWdil3FHAZXW5nzUaZGtsZwK8Bb5Z0X/H6uSqCiog6VdoUPR3YY3uv7YPATcCGLuX+EPhjKnqArkyv6P8GVEUQETFIZtR5sEzSSNv2sO3htu3lwCNt2/uA17SfQNKrgJW2vyDpfbMIeIKMPIiIDjNKbKO2Z31PTNJhwEeBi2Z7jm6S2CKii8p6PB8FVrZtryj2jTkKOAW4vXXbnhOALZLOsd1eE5yRvia2Z56qZgbUJs9+mhlip1bV96rqd4Ym/taVjhXdDqyRtJpWQjsP+JWxg7afAZaNbUu6HXhvmaQGqbFFxATVPaBr+5CkS4FbgEXAdbZ3SroKGLG9pZILdUhii4iJXN2aB7a3Als79n1gkrJnVnHNJLaImOiFugMoJ4ktIsYz832RqiS2iOhg4Pm6gygniS0ixkuNLSIaKffYIqJRUmOLiEZKYouIRjFpikZEwxg4WHcQ5SSxRcREqbFFRKOk8yAiGik1toholNTYIqJxktgionEyVjQiGik1tt4dfSy8/ex+XnH+GbSpr5s37XVLU79XJfKAbkQ0UmpsEdEoqbFFROM0YEjVYXUHEBED6IUeXz2QtF7Sg5L2SLq8y/H3SNol6WuSbpX0E2XDT2KLiPHGnmPr5TUNSYuAa4CzgbXA+ZLWdhS7Fxiy/UpgM/Chsl+hdGKTtEjSvZL+vuy5ImJAVJTYgNOBPbb32j4I3ARsaC9g+zbb3y8276K1WnwpVdTYLgN2V3CeiBgEY50HvTVFl0kaaXtt7DjbcuCRtu19xb7JXAx8sexXKNV5IGkF8PPAHwHvKRtMRAyI3h/3GLU9VMUlJV0ADAFvKnuusr2iHwPeDxw1WYEig28EOGlpyatFxNyrdkjVo8DKtu0Vxb5xJK0DrgTeZPsHZS8666aopLcBB2zvmKqc7WHbQ7aHjlsy26tFRN9U2HkAbAfWSFot6XDgPGBLewFJpwF/AZxj+0AVX6FMje0M4BxJPwcsAV4i6VO2L6gisIioUUUP6No+JOlS4BZgEXCd7Z2SrgJGbG8BPgwcCfytJICHbZ9T5rqzTmy2rwCuAJB0JvDeJLWIBqh42iLbW4GtHfs+0PZ+XXVXa8nIg4gYL/Oxtdi+Hbi9inNFRM0yH1tENFIGwUdEo6QpGhGNlMQ2fzV5ltnzKjrPTQ3+jQZNFf8enyl/iszHFhENlRpbRDRKekUjonHSeRARjZR7bBHRKKmxRUTjJLFFRCOlKRoRjZJe0YhonDRFI6KRktgiolEypCoiGik1toholHQeRETjNKDzoIqV4COiaXpfCX5aktZLelDSHkmXdzn+YkmfLo7fLWlV2fCT2CJivArXFZW0CLgGOBtYC5wvaW1HsYuB79j+SeB/AH9c9isksUXERNUtmHw6sMf2XtsHgZuADR1lNgCbivebgbNULDA6Wwv6HluTZ3V9tqLvVtUsw002SDMx/8EXy59jho97LJM00rY9bHu4bXs58Ejb9j7gNR3n+FGZYoHlZ4CXAaMziHqcBZ3YIqILAwd7Lj1qe2jugpmdNEUjYqLqOg8eBVa2ba8o9nUtI2kxcDTw5KxjJ4ktIjpV2HkAbAfWSFot6XBa6wxt6SizBbiweP9LwD/YdpmvkKZoRIxX4ZCq4p7ZpcAtwCLgOts7JV0FjNjeAnwC+CtJe4CnqGCRtSS2iJiowgd0bW8Ftnbs+0Db++eAX67uiiWbopKOkbRZ0jck7Zb0uqoCi4iaVNsUrUXZGtvHgS/Z/qWi/by0gpgiok4LeayopKOBNwIXARQP3/XeSRwRg2uAa2O9KNMUXQ08AXxS0r2SrpV0RGchSRsljUgaeeK5EleLiP4Y6zyoaKxoHcoktsXAq4A/t30a8CwwYYCr7WHbQ7aHjltS4moR0T/z/B5bmcS2D9hn++5iezOtRBcR81kDamyzvsdm+zFJj0h6ue0HgbOAXdWFFhG1mNmQqoFUtlf0ncANRY/oXuA3yocUEbUb4NpYL0olNtv3AQM3ADYiSmjADLoZeRAR4yWxRUQjLeSmaEQ0UGps0XRNnmW4Ko37jRbykKqIaLDU2CKiUSqcj60uSWwRMVFqbBHRKOk8iIhGSlM0IholvaIR0TgNaIpm+b2ImKgP87FJOlbSNkkPFX++tEuZUyXdKWmnpK9J+o+9nDuJLSLG6998bJcDt9peA9xKl4lqge8Dv277p4H1wMckHTPdiZPYImKi/syguwHYVLzfBLyjs4Dtb9p+qHj/beAAcNx0J849togYb2adB8skjbRtD9se7vGzx9veX7x/DDh+qsKSTgcOB/55uhMnsUXEBDOojI3annRORklfAU7ocujK9g3bluQpznMi8FfAhbanbQQnsUXEOFV2itpeN9kxSY9LOtH2/iJxHZik3EuALwBX2r6rl+vmHltETNCntVy2ABcW7y8EPtdZoFh24DPAX9re3OuJk9giYpyxGlsfVt+7GniLpIeAdcU2koYkXVuUOZdiYXZJ9xWvU6c7cZqiETFBP0ZU2X6S1up2nftHgEuK958CPjXTcyexRcQ4LzDvV9+bn4nt8zdUc56qZj6tKh5o4GyshSMq+o2ebejvM2jm+Rj4+ZnYImLuNGCoaBJbREyUxBYRjdKAmcGT2CJivAZMx5bEFhETzfemaKkHdCX9XjFP0gOSbpS0pKrAIqIefXxAd87MOrFJWg68CxiyfQqwCDivqsAioj59GlI1Z8o2RRcDPybpeWAp8O3yIUVEnZrwuMesa2y2HwU+AjwM7Aeesf3lznKSNkoakTTyxHOzDzQi+mOhN0VfSmsGzNXAjwNHSLqgs5ztYdtDtoeOyx24iIE31ivay2tQlek8WAd8y/YTtp8HbgZeX01YEVGnhXyP7WHgtZKWAv+X1ij9kak/EhGDrgn32Gad2GzfLWkzcA9wCLgX6HWu84gYYAs2sQHY/iDwwYpiiYgBkCFVEdFIC7rGFhHNk7GiEdE4C7rzYDaeeaqa2WYHbZbZQYtnED3rSZeMnJkLVM15Ykrz/R5bVqmKiHH6NfJA0rGStkl6qPjzpVOUfYmkfZL+rJdzJ7FFxAR9GlJ1OXCr7TXArcX2ZP4QuKPXEyexRcQ4fRxStQHYVLzfBLyjWyFJrwaOByaMRZ9MEltEjDPDpuiysUkuitfGGVzqeNv7i/eP0Upe40g6DPgT4L0z+Q7pFY2ICWbQeTBqe2iyg5K+ApzQ5dCV7Ru2LalbD9PvAltt75N67zhKYouIcap83MP2usmOSXpc0om290s6ETjQpdjrgDdI+l3gSOBwSd+zPdX9uCS2iBivj0OqtgAXAlcXf35uQiz2jx6mknQRrRm7p0xqkHtsEdFFn3pFrwbeIukhWtOgXQ0gaUjStWVOnBpbRIzTryFVtp+kNd1Z5/4R4JIu+68Hru/l3ElsETFOhlRFRCMlsUVEo2Q+tohopNTYIqJRUmOLiMYxcLDuIEpKYouICVJji4hGyeMeEdE4SWw1qWJ6cWj2lN4D9xtlSu95JU3RiGiUrFIVEY2TpmhENFISW0Q0ShMe0J12PjZJ10k6IOmBtn09L5sVEfNPn+ZjmzO9TDR5PbC+Y99Mls2KiHmkX+uKzqVpE5vtO4CnOnb3tGxWRMw/fVx+b87M9h7btMtmRcT8Nd/vsZXuPJhi2SwAinUGNwIcV/ZiETHnmvC4x2wXc3m8WC6LKZbNAsD2sO0h20NHz/JiEdFfjb/HNomxZbNgkmWzImJ+Gnvco5dXGb0+XSHpJElflrRb0i5Jq6Y7dy+Pe9wI3Am8XNI+SRczybJZEdEMfaqx9fp0xV8CH7b9U8DpTNFCHDPtPTbb509yaMKyWREx/71A33o8NwBnFu83AbcD/7m9gKS1wGLb2wBsf6+XE2fB5IiYoE81tl6erjgZeFrSzZLulfRhSYumO3GGVEXEODMcUrVM0kjb9rDt4bENSV8BTujyuSvHXXPypysWA28ATgMeBj4NXAR8YqqgktgiYoIZ1MZGbQ9NdtD2usmOSXpc0om290/xdMU+4D7be4vPfBZ4LdMktjRFI2KcPg6p6uXpiu3AMZLGHoN9M7BruhPLnvTZ2soNvUweObtvl4uYV46oYNbj54Af2qWmKz5K8qt7LPuPsGOqGttUJL0M+BvgJOD/AOfafkrSEPA7ti8pyr0F+BNAwA5go+0pF9JKUzQiJujHw7e2n6TL0xW2R4BL2ra3Aa+cybmT2CJinCbMx5bEFhETDPJwqV4ksUXEOKmxRUQjpcYWEY2S5fcionGaMB9bEltEjJPEFhGNlM6DiGiU1NgiopFSY4uIRjEw5UDMeSCJLSLGyQO6EdFIuccWEY2SzoOIaKQ0RSOiUZowpKqvM+hKeoLWTJlTWQaM9iGcXiWe6Q1aTAs5np+wfdz0xSYn6Uu0Yu7FqO31Za43F/qa2HohaWS2Uw3PhcQzvUGLKfFEFnOJiMZJYouIxhnExDY8fZG+SjzTG7SYEs8CN3D32CIiyhrEGltERClJbBHROAOT2CStl/SgpD2SLh+AeFZKuk3SLkk7JV1Wd0wAkhZJulfS3w9ALMdI2izpG5J2S3pdzfH8XvF39YCkGyUtqSGG6yQdkPRA275jJW2T9FDx50v7HddCMxCJTdIi4BrgbGAtcL6ktfVGxSHg922vBV4L/KcBiAngMmB33UEUPg58yfYrgJ+lxrgkLQfeBQzZPgVYBJxXQyjXA50PrF4O3Gp7DXBrsR1zaCASG3A6sMf2XtsHgZuADXUGZHu/7XuK9/9K6z/a5XXGJGkF8PPAtXXGUcRyNPBG4BMAtg/afrreqFgM/JikxcBS4Nv9DsD2HcBTHbs3AJuK95uAd/Q1qAVoUBLbcuCRtu191JxE2klaBZwG3F1vJHwMeD+DMUZ5NfAE8MmiaXytpCPqCsb2o8BHgIeB/cAztr9cVzwdjre9v3j/GHB8ncEsBIOS2AaWpCOBvwPebfu7NcbxNuCA7R11xdBhMfAq4M9tnwY8S41NrOK+1QZaCffHgSMkXVBXPJNx6/mqPGM1xwYlsT0KrGzbXlHsq5WkF9FKajfYvrnmcM4AzpH0L7Sa6m+W9Kka49kH7LM9VovdTCvR1WUd8C3bT9h+HrgZeH2N8bR7XNKJAMWfB2qOp/EGJbFtB9ZIWi3pcFo3fbfUGZAk0bp/tNv2R+uMBcD2FbZX2F5F6/f5B9u11UhsPwY8Iunlxa6zgF11xUOrCfpaSUuLv7uzGJxOli3AhcX7C4HP1RjLgjAQ87HZPiTpUuAWWr1Z19neWXNYZwC/Bnxd0n3Fvv9ie2uNMQ2adwI3FP8z2gv8Rl2B2L5b0mbgHlo92vdSw1AmSTcCZwLLJO0DPghcDfyNpItpTdt1br/jWmgypCoiGmdQmqIREZVJYouIxklii4jGSWKLiMZJYouIxklii4jGSWKLiMb5fy2IPzkwmi1wAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light",
      "tags": []
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "per_head(layers, np.average)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "VQ5dy5zJjzL9",
    "outputId": "391d3c78-6370-4c90-84af-cc176585f31e"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.06250001"
      ]
     },
     "execution_count": 205,
     "metadata": {
      "tags": []
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.average(layers[9][7])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "id": "wQaGww0Pj484"
   },
   "outputs": [],
   "source": [
    "def for_input(input, fn):\n",
    "  input = input.unsqueeze(0)\n",
    "  output = model(input)\n",
    "  layers = get_layers(output.attentions)\n",
    "  per_head(layers, fn)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 265
    },
    "id": "tICUtct4nIBV",
    "outputId": "569bf1e4-d136-4cc6-938f-b51474fab657"
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light",
      "tags": []
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for_input(input_ids[1], np.max)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "_Sf6dTGQoN3Q",
    "outputId": "bbccfdf4-c33e-481a-b3b2-b477361bfe53"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Requirement already satisfied: sentencepiece in /usr/local/lib/python3.7/dist-packages (0.1.95)\n",
      "Requirement already satisfied: transformers in /usr/local/lib/python3.7/dist-packages (4.6.0)\n",
      "Requirement already satisfied: regex!=2019.12.17 in /usr/local/lib/python3.7/dist-packages (from transformers) (2019.12.20)\n",
      "Requirement already satisfied: tokenizers<0.11,>=0.10.1 in /usr/local/lib/python3.7/dist-packages (from transformers) (0.10.2)\n",
      "Requirement already satisfied: filelock in /usr/local/lib/python3.7/dist-packages (from transformers) (3.0.12)\n",
      "Requirement already satisfied: huggingface-hub==0.0.8 in /usr/local/lib/python3.7/dist-packages (from transformers) (0.0.8)\n",
      "Requirement already satisfied: importlib-metadata; python_version < \"3.8\" in /usr/local/lib/python3.7/dist-packages (from transformers) (4.0.1)\n",
      "Requirement already satisfied: packaging in /usr/local/lib/python3.7/dist-packages (from transformers) (20.9)\n",
      "Requirement already satisfied: requests in /usr/local/lib/python3.7/dist-packages (from transformers) (2.23.0)\n",
      "Requirement already satisfied: sacremoses in /usr/local/lib/python3.7/dist-packages (from transformers) (0.0.45)\n",
      "Requirement already satisfied: tqdm>=4.27 in /usr/local/lib/python3.7/dist-packages (from transformers) (4.41.1)\n",
      "Requirement already satisfied: numpy>=1.17 in /usr/local/lib/python3.7/dist-packages (from transformers) (1.19.5)\n",
      "Requirement already satisfied: zipp>=0.5 in /usr/local/lib/python3.7/dist-packages (from importlib-metadata; python_version < \"3.8\"->transformers) (3.4.1)\n",
      "Requirement already satisfied: typing-extensions>=3.6.4; python_version < \"3.8\" in /usr/local/lib/python3.7/dist-packages (from importlib-metadata; python_version < \"3.8\"->transformers) (3.7.4.3)\n",
      "Requirement already satisfied: pyparsing>=2.0.2 in /usr/local/lib/python3.7/dist-packages (from packaging->transformers) (2.4.7)\n",
      "Requirement already satisfied: urllib3!=1.25.0,!=1.25.1,<1.26,>=1.21.1 in /usr/local/lib/python3.7/dist-packages (from requests->transformers) (1.24.3)\n",
      "Requirement already satisfied: certifi>=2017.4.17 in /usr/local/lib/python3.7/dist-packages (from requests->transformers) (2020.12.5)\n",
      "Requirement already satisfied: idna<3,>=2.5 in /usr/local/lib/python3.7/dist-packages (from requests->transformers) (2.10)\n",
      "Requirement already satisfied: chardet<4,>=3.0.2 in /usr/local/lib/python3.7/dist-packages (from requests->transformers) (3.0.4)\n",
      "Requirement already satisfied: six in /usr/local/lib/python3.7/dist-packages (from sacremoses->transformers) (1.15.0)\n",
      "Requirement already satisfied: click in /usr/local/lib/python3.7/dist-packages (from sacremoses->transformers) (8.0.0)\n",
      "Requirement already satisfied: joblib in /usr/local/lib/python3.7/dist-packages (from sacremoses->transformers) (1.0.1)\n"
     ]
    }
   ],
   "source": [
    "%pip install sentencepiece\n",
    "%pip install transformers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 311,
     "referenced_widgets": [
      "eb71228ea32c4a5582959c454e00528b",
      "dd3baf0d91d14c6b83a750c48dc4223b",
      "f188b7dc00dc4b02a506fb37992b1802",
      "395de003bbea4054b1f3b6ec91c6ab6f",
      "2c58ab66759b4094b1e4c5ac3a8ca52f",
      "7dd9684b165142ae8f0b432812f8d851",
      "8ed6160499794b639541bbcc796df054",
      "85905e52ec794013ba996014647057e0",
      "e46d0251977a41abb08692f78bad4e77",
      "d54ded903f574009a4c748455f9f65ee",
      "442dbde9060d4d18b532ba2115ef39f0",
      "942bf25c702544efbefcfe63f531cc5a",
      "9613eabd214244e486e4592b1c82ed68",
      "926b6d04a7bc4803a28de8460a8457a2",
      "1460d37e6d5d42fb81e40135cb43d5ab",
      "e6b76734603b4b64a913fa046b3a143c",
      "3b5d2337441a463282411aa26f5231b1",
      "fd031d525d514f949ed60a742df2b08b",
      "901b3549de8a42d9a9d000f6598ba2e2",
      "4f221dcdb12d486d9d998209088d4c7a",
      "edbba95a029c4c2089c4caf0db354227",
      "59ea5195df1c4d5abea7cd96e98cb55a",
      "cfa0e7efffd04c8d8e68cfd2b1f5fa15",
      "49994084dac7414cbebd86b38a5753f8",
      "a0d716e224d94d218b7e0fe64014261b",
      "d2c857a1069247278e3979c5fa300af4",
      "cfe2ccd50a974fb8b6f17d0ccc102290",
      "2893722225e044409ae6bfc91b9371ba",
      "d2fbc06e3a864cc2a1507d3aefb8f839",
      "aa142674cc1d4fa0b45e617038f4473b",
      "68e3d3b5b2d34ae5a06b3374e842d7e4",
      "a0eaa14420634ae1adcb64bb7be3c658",
      "8e6f9aca5bf8426fb135f0b4489dbcae",
      "2b96c900d12b465680e2bfcec26a7a78",
      "e25c009b8dca45878ee44b042f20bc41",
      "a8d32ce9ab524f929d43e0cfa5f524b6",
      "80cb4b256f3d4008bd4a8004a1f5bfd8",
      "5f16ace30af44c18b591f7f1c7168f5e",
      "c4ccff2da8ba429292b290e4a66c0d95",
      "b49b28cb70934028a89590b223fb9a48",
      "b64120b5cb064512a3987a280fce0714",
      "f51c9c83f9ff4d2da5ea942460e0888d",
      "e4874bee89894de7aec2ae14a0174467",
      "2a64f8cbeeae43b3979d012bd0c81bfa",
      "1099c399638e465b9e7715e081686fc1",
      "a804b1934c86485a9882541df834bece",
      "8510c7ae2b714f598e72018f0b39cf5b",
      "8a1c2b709c374f77b2ddb4f2bff047f7"
     ]
    },
    "id": "SSsiGYnQ0PBo",
    "outputId": "7ea15d5c-5ee8-4b8d-a9bf-c6013e886340"
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "a8a60e92671747a48d1c0f6bc17dda4c",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Downloading:   0%|          | 0.00/1.19k [00:00<?, ?B/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "acf2931833454370a83465ae5fe1a430",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Downloading:   0%|          | 0.00/312M [00:00<?, ?B/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "1d97c45b938647fcba90f6223826ea7e",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Downloading:   0%|          | 0.00/802k [00:00<?, ?B/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "f7a0ebdb0ff040af99bf2419a742f64c",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Downloading:   0%|          | 0.00/826k [00:00<?, ?B/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "6ecea3bc0cbb4273b6af78eefb709b17",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Downloading:   0%|          | 0.00/1.59M [00:00<?, ?B/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "5b882d5603ae4300a555d6d6ed3345c8",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Downloading:   0%|          | 0.00/44.0 [00:00<?, ?B/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from transformers import MarianMTModel, MarianTokenizer\n",
    "\n",
    "lang = \"en\"\n",
    "target_lang = \"es\"\n",
    "model_name = f'Helsinki-NLP/opus-mt-{lang}-{target_lang}'\n",
    "model = MarianMTModel.from_pretrained(model_name, output_attentions=True)\n",
    "tokenizer = MarianTokenizer.from_pretrained(model_name)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "I6MemX0S0Wti",
    "outputId": "6b13b71d-5f64-4a40-81ec-b086f0590971"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['. Si el eje es negativo cuenta desde el último hasta el primer eje. Si el eje es una tupla de ints, se realiza la volteo en todos los ejes especificados en la tupla.']"
      ]
     },
     "execution_count": 101,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\n",
    "batch = tokenizer([\". If axis is negative it counts from the last to the first axis. If axis is a tuple of ints, flipping is performed on all of the axes specified in the tuple.\"], return_tensors=\"pt\", padding=True)\n",
    "                \n",
    "batch[\"input_ids\"] = batch[\"input_ids\"][:, :512]\n",
    "# batch[\"attention_mask\"] = batch[\"attention_mask\"][:, :512]\n",
    "\n",
    "translation = model.generate(**batch)\n",
    "translated = tokenizer.batch_decode(translation, skip_special_tokens=True)\n",
    "translated"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "9mNiKdpo0cRh",
    "outputId": "35e47541-5bf5-4e89-fb5c-5f884f309ee0"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "torch.Size([1, 45])"
      ]
     },
     "execution_count": 102,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "translation.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "Y0-FqeLI0ev7",
    "outputId": "55aedcb0-ee89-4c9e-fade-128fb49f24eb"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([[65000,    25,     3,   216,    14, 12309,    43, 13070,   363,   253,\n",
       "            14,  1439,   302,    14,   787, 12309,     3,   216,    14, 12309,\n",
       "            43,    38,   213,  9231,     4,    25,  5204,     9,     2,    26,\n",
       "          4979,     6,  5971, 12755,    12,   154,    17, 22576, 30170,    12,\n",
       "             6,   213,  9231,     3,     0]])"
      ]
     },
     "execution_count": 103,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "translation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "metadata": {
    "id": "YIAswBt87fjZ"
   },
   "outputs": [],
   "source": [
    "translated_ids = batch = tokenizer(translated, return_tensors=\"pt\", padding=True)\n",
    "translated_ids[\"input_ids\"] = translated_ids[\"input_ids\"][:, :512]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "metadata": {
    "id": "cWKa9hzQ0gNW"
   },
   "outputs": [],
   "source": [
    "output = model(input_ids=batch[\"input_ids\"], decoder_input_ids=batch[\"input_ids\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "-tG33Mkx0htk",
    "outputId": "ad22ca82-463d-43bf-cf4b-9e7e2a887cc3"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "odict_keys(['logits', 'past_key_values', 'decoder_attentions', 'cross_attentions', 'encoder_last_hidden_state', 'encoder_attentions'])"
      ]
     },
     "execution_count": 106,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "output.keys()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {
    "id": "c_3c1zo50jYp"
   },
   "outputs": [],
   "source": [
    "def plot_layer_head_func(attention, num_layers=12, num_heads=12, fn=None):\n",
    "  layers = np.ndarray((num_layers,num_heads), np.ndarray)\n",
    "  for i in range(0,num_layers):\n",
    "    p = attention[i].detach().cpu().numpy()\n",
    "    q = attention[i+1].detach().cpu().numpy()\n",
    "    fig, axis = plt.subplots(1,num_heads, figsize=(20,5), facecolor='w', edgecolor='k')\n",
    "    plt.title(f'layer {i} x {i+1}')\n",
    "    head = 0\n",
    "    for axs, ph, qh in zip(axis.flatten(), p[0], p[0]):\n",
    "\n",
    "      if not fn:\n",
    "        fn = (lambda x: x)\n",
    "      result = fn(ph)\n",
    "      heatmap = axs.imshow(result, cmap='hot')\n",
    "\n",
    "      # plt.title(f'head {head}')\n",
    "      layers[i, head] = result\n",
    "      head += 1\n",
    "  plt.colorbar(heatmap)\n",
    "  return layers\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 801
    },
    "id": "crysfcwp0sZr",
    "outputId": "03c3323d-e525-4cc8-ce02-d42e25bc6efb"
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x360 with 8 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x360 with 8 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x360 with 8 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x360 with 9 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "similarities = plot_layer_head_func(output.cross_attentions, 4, 8)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "id": "gBXZxjYZ0thV"
   },
   "outputs": [],
   "source": [
    "plt.imshow(output.[1][1], cmap='hot', interpolation='nearest')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {
    "collapsed": true,
    "jupyter": {
     "outputs_hidden": true
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Requirement already satisfied: datasets in /usr/local/lib/python3.6/dist-packages (1.6.2)\n",
      "Requirement already satisfied: pandas in /usr/local/lib/python3.6/dist-packages (from datasets) (1.1.5)\n",
      "Requirement already satisfied: packaging in /usr/local/lib/python3.6/dist-packages (from datasets) (20.9)\n",
      "Requirement already satisfied: xxhash in /usr/local/lib/python3.6/dist-packages (from datasets) (2.0.2)\n",
      "Requirement already satisfied: importlib-metadata; python_version < \"3.8\" in /usr/local/lib/python3.6/dist-packages (from datasets) (4.0.1)\n",
      "Requirement already satisfied: huggingface-hub<0.1.0 in /usr/local/lib/python3.6/dist-packages (from datasets) (0.0.8)\n",
      "Requirement already satisfied: multiprocess in /usr/local/lib/python3.6/dist-packages (from datasets) (0.70.11.1)\n",
      "Requirement already satisfied: fsspec in /usr/local/lib/python3.6/dist-packages (from datasets) (2021.5.0)\n",
      "Requirement already satisfied: dill in /usr/local/lib/python3.6/dist-packages (from datasets) (0.3.3)\n",
      "Requirement already satisfied: pyarrow>=1.0.0<4.0.0 in /usr/local/lib/python3.6/dist-packages (from datasets) (4.0.0)\n",
      "Requirement already satisfied: requests>=2.19.0 in /usr/local/lib/python3.6/dist-packages (from datasets) (2.25.1)\n",
      "Requirement already satisfied: tqdm<4.50.0,>=4.27 in /usr/local/lib/python3.6/dist-packages (from datasets) (4.49.0)\n",
      "Requirement already satisfied: numpy>=1.17 in /usr/local/lib/python3.6/dist-packages (from datasets) (1.19.5)\n",
      "Requirement already satisfied: dataclasses; python_version < \"3.7\" in /usr/local/lib/python3.6/dist-packages (from datasets) (0.8)\n",
      "Requirement already satisfied: pytz>=2017.2 in /usr/local/lib/python3.6/dist-packages (from pandas->datasets) (2021.1)\n",
      "Requirement already satisfied: python-dateutil>=2.7.3 in /usr/local/lib/python3.6/dist-packages (from pandas->datasets) (2.8.1)\n",
      "Requirement already satisfied: pyparsing>=2.0.2 in /usr/local/lib/python3.6/dist-packages (from packaging->datasets) (2.4.7)\n",
      "Requirement already satisfied: typing-extensions>=3.6.4; python_version < \"3.8\" in /usr/local/lib/python3.6/dist-packages (from importlib-metadata; python_version < \"3.8\"->datasets) (3.7.4.3)\n",
      "Requirement already satisfied: zipp>=0.5 in /usr/local/lib/python3.6/dist-packages (from importlib-metadata; python_version < \"3.8\"->datasets) (3.4.1)\n",
      "Requirement already satisfied: filelock in /usr/local/lib/python3.6/dist-packages (from huggingface-hub<0.1.0->datasets) (3.0.12)\n",
      "Requirement already satisfied: certifi>=2017.4.17 in /usr/local/lib/python3.6/dist-packages (from requests>=2.19.0->datasets) (2020.12.5)\n",
      "Requirement already satisfied: chardet<5,>=3.0.2 in /usr/local/lib/python3.6/dist-packages (from requests>=2.19.0->datasets) (4.0.0)\n",
      "Requirement already satisfied: idna<3,>=2.5 in /usr/lib/python3/dist-packages (from requests>=2.19.0->datasets) (2.6)\n",
      "Requirement already satisfied: urllib3<1.27,>=1.21.1 in /usr/local/lib/python3.6/dist-packages (from requests>=2.19.0->datasets) (1.26.4)\n",
      "Requirement already satisfied: six>=1.5 in /usr/local/lib/python3.6/dist-packages (from python-dateutil>=2.7.3->pandas->datasets) (1.15.0)\n",
      "\u001b[33mWARNING: You are using pip version 20.2.4; however, version 21.1.1 is available.\n",
      "You should consider upgrading via the '/usr/bin/python3 -m pip install --upgrade pip' command.\u001b[0m\n"
     ]
    }
   ],
   "source": [
    "!pip install datasets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Using custom data configuration default\n",
      "Reusing dataset news_category (/root/.cache/huggingface/datasets/news_category/default/0.0.0/737b7b6dff469cbba49a6202c9e94f9d39da1fed94e13170cf7ac4b61a75fb9c)\n"
     ]
    }
   ],
   "source": [
    "from datasets import load_dataset\n",
    "\n",
    "dataset = load_dataset(\"Fraser/news-category-dataset\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [],
   "source": [
    "train_news = pd.DataFrame(dataset['train'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "26127"
      ]
     },
     "execution_count": 70,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = train_news[train_news['category'] == 'POLITICS']\n",
    "len(political_news)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'Conservatives in all corners of the globe must have felt their hearts sing, if only for a moment, when the Financial Times ran a piece entitled \"Piketty findings undercut by errors.\" Sadly for them, the FT\\'s claims proved untrue.'"
      ]
     },
     "execution_count": 71,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x.values[0][-1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(['COMEDY', 'ARTS', 'BUSINESS', 'TRAVEL', 'POLITICS', 'EDUCATION',\n",
       "       'ENTERTAINMENT', 'GREEN', 'TECH', 'THE WORLDPOST', 'RELIGION',\n",
       "       'PARENTING', 'WOMEN', 'WELLNESS', 'HEALTHY LIVING', 'WORLD NEWS',\n",
       "       'BLACK VOICES', 'HOME & LIVING', 'FOOD & DRINK', 'PARENTS',\n",
       "       'DIVORCE', 'SCIENCE', 'QUEER VOICES', 'STYLE & BEAUTY', 'WEDDINGS',\n",
       "       'ARTS & CULTURE', 'IMPACT', 'STYLE', 'CRIME', 'WEIRD NEWS',\n",
       "       'MEDIA', 'COLLEGE', 'TASTE', 'MONEY', 'CULTURE & ARTS', 'SPORTS',\n",
       "       'WORLDPOST', 'FIFTY', 'GOOD NEWS', 'ENVIRONMENT', 'LATINO VOICES'],\n",
       "      dtype=object)"
      ]
     },
     "execution_count": 72,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train_news['category'].unique()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [],
   "source": [
    "y = train_news[train_news['category'] == 'PARENTS']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'Bringing a baby into this world is truly a miracle and I can confidently say that the past 12 months have been the best 12 months of my entire life. This post is my take on being a father, and the top 10 lessons I learned.'"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y.values[11][-1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\"The senator wants legislation and a hearing to address pharmaceutical companies' role in the opioid epidemic.\""
      ]
     },
     "execution_count": 86,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "example1 = x.values[27][-1]\n",
    "example1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 113,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'This post is my take on being a father, and the top 10 lessons I learned.'"
      ]
     },
     "execution_count": 113,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "example2 = y.values[11][-1].split('. ')[1]\n",
    "example2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 114,
   "metadata": {},
   "outputs": [],
   "source": [
    "batch1 = tokenizer([example1], return_tensors=\"pt\", padding=True)\n",
    "batch1[\"input_ids\"] = batch1[\"input_ids\"][:, :512]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 115,
   "metadata": {},
   "outputs": [],
   "source": [
    "batch2 = tokenizer([example2], return_tensors=\"pt\", padding=True)\n",
    "batch2[\"input_ids\"] = batch2[\"input_ids\"][:, :512]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 116,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "dict_keys(['input_ids', 'attention_mask'])"
      ]
     },
     "execution_count": 116,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "batch1.keys()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "metadata": {},
   "outputs": [],
   "source": [
    "output1 = model(input_ids=batch1[\"input_ids\"], decoder_input_ids=batch1[\"input_ids\"])\n",
    "output2 = model(input_ids=batch2[\"input_ids\"], decoder_input_ids=batch2[\"input_ids\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x360 with 8 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x360 with 8 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x360 with 8 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x360 with 9 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "attention1 = plot_layer_head_func(output1.cross_attentions, 4, 8)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x360 with 8 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x360 with 8 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x360 with 8 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x360 with 9 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "attention2 = plot_layer_head_func(output2.cross_attentions, 4, 8)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 200,
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_layers(attention, num_layers=12, num_heads=12):\n",
    "  layers = np.ndarray((num_layers,num_heads), np.ndarray)\n",
    "  for i, layer in enumerate(attention):\n",
    "    layer = layer.detach().cpu().numpy()[0]\n",
    "    for j, head in enumerate(layer):\n",
    "      layers[i,j] = head\n",
    "  return layers\n",
    "\n",
    "def per_head(layers, fn, num_layers=12, num_heads=12):\n",
    "  result = np.ndarray((num_layers,num_heads), float)\n",
    "\n",
    "  for layer in range(0,num_layers):\n",
    "    for head in range (0,num_heads):\n",
    "      result[layer, head] = fn(layers[layer, head])\n",
    "  return result\n",
    "\n",
    "def for_input(model, tokenizer, input, fn):\n",
    "  tokenized = tokenizer([example1], return_tensors=\"pt\", padding=True) \n",
    "  input = tokenized[\"input_ids\"][:, :512]\n",
    "  output = model(input_ids=input, decoder_input_ids=input)\n",
    "  print(output.keys())\n",
    "  attention = get_layers(output.cross_attentions)\n",
    "#   return layers\n",
    "  return per_head(attention, fn, 4, 8)\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 201,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "odict_keys(['logits', 'past_key_values', 'decoder_attentions', 'cross_attentions', 'encoder_last_hidden_state', 'encoder_attentions'])\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x7fe7383d5630>"
      ]
     },
     "execution_count": 201,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#   example = x.values[100][-1]\n",
    "# example = 'this is a sentence'\n",
    "  result = for_input(model, tokenizer, example, np.max)\n",
    "\n",
    "plt.imshow(result, cmap='hot', interpolation='nearest')\n",
    "#   plt.colorbar(plot)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 202,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'hello'"
      ]
     },
     "execution_count": 202,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "'hello'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "colab": {
   "collapsed_sections": [],
   "name": "fine-tuned models5-14.ipynb",
   "provenance": []
  },
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.10"
  },
  "widgets": {
   "application/vnd.jupyter.widget-state+json": {
    "1099c399638e465b9e7715e081686fc1": {
     "model_module": "@jupyter-widgets/controls",
     "model_name": "ProgressStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "ProgressStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "bar_color": null,
      "description_width": "initial"
     }
    },
    "1460d37e6d5d42fb81e40135cb43d5ab": {
     "model_module": "@jupyter-widgets/controls",
     "model_name": "DescriptionStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "DescriptionStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "description_width": ""
     }
    },
    "2893722225e044409ae6bfc91b9371ba": {
     "model_module": "@jupyter-widgets/controls",
     "model_name": "HTMLModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HTMLModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HTMLView",
      "description": "",
      "description_tooltip": null,
      "layout": "IPY_MODEL_a0eaa14420634ae1adcb64bb7be3c658",
      "placeholder": "​",
      "style": "IPY_MODEL_68e3d3b5b2d34ae5a06b3374e842d7e4",
      "value": " 826k/826k [00:02&lt;00:00, 390kB/s]"
     }
    },
    "2a64f8cbeeae43b3979d012bd0c81bfa": {
     "model_module": "@jupyter-widgets/controls",
     "model_name": "HTMLModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HTMLModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HTMLView",
      "description": "",
      "description_tooltip": null,
      "layout": "IPY_MODEL_8a1c2b709c374f77b2ddb4f2bff047f7",
      "placeholder": "​",
      "style": "IPY_MODEL_8510c7ae2b714f598e72018f0b39cf5b",
      "value": " 44.0/44.0 [00:00&lt;00:00, 60.6B/s]"
     }
    },
    "2b96c900d12b465680e2bfcec26a7a78": {
     "model_module": "@jupyter-widgets/base",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "2c58ab66759b4094b1e4c5ac3a8ca52f": {
     "model_module": "@jupyter-widgets/controls",
     "model_name": "ProgressStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "ProgressStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "bar_color": null,
      "description_width": "initial"
     }
    },
    "395de003bbea4054b1f3b6ec91c6ab6f": {
     "model_module": "@jupyter-widgets/controls",
     "model_name": "HTMLModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HTMLModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HTMLView",
      "description": "",
      "description_tooltip": null,
      "layout": "IPY_MODEL_85905e52ec794013ba996014647057e0",
      "placeholder": "​",
      "style": "IPY_MODEL_8ed6160499794b639541bbcc796df054",
      "value": " 1.19k/1.19k [00:00&lt;00:00, 4.74kB/s]"
     }
    },
    "3b5d2337441a463282411aa26f5231b1": {
     "model_module": "@jupyter-widgets/controls",
     "model_name": "HBoxModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HBoxModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HBoxView",
      "box_style": "",
      "children": [
       "IPY_MODEL_901b3549de8a42d9a9d000f6598ba2e2",
       "IPY_MODEL_4f221dcdb12d486d9d998209088d4c7a"
      ],
      "layout": "IPY_MODEL_fd031d525d514f949ed60a742df2b08b"
     }
    },
    "442dbde9060d4d18b532ba2115ef39f0": {
     "model_module": "@jupyter-widgets/controls",
     "model_name": "FloatProgressModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "FloatProgressModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "ProgressView",
      "bar_style": "success",
      "description": "Downloading: 100%",
      "description_tooltip": null,
      "layout": "IPY_MODEL_926b6d04a7bc4803a28de8460a8457a2",
      "max": 312087523,
      "min": 0,
      "orientation": "horizontal",
      "style": "IPY_MODEL_9613eabd214244e486e4592b1c82ed68",
      "value": 312087523
     }
    },
    "49994084dac7414cbebd86b38a5753f8": {
     "model_module": "@jupyter-widgets/base",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "4f221dcdb12d486d9d998209088d4c7a": {
     "model_module": "@jupyter-widgets/controls",
     "model_name": "HTMLModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HTMLModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HTMLView",
      "description": "",
      "description_tooltip": null,
      "layout": "IPY_MODEL_49994084dac7414cbebd86b38a5753f8",
      "placeholder": "​",
      "style": "IPY_MODEL_cfa0e7efffd04c8d8e68cfd2b1f5fa15",
      "value": " 802k/802k [00:00&lt;00:00, 1.16MB/s]"
     }
    },
    "59ea5195df1c4d5abea7cd96e98cb55a": {
     "model_module": "@jupyter-widgets/base",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "5f16ace30af44c18b591f7f1c7168f5e": {
     "model_module": "@jupyter-widgets/base",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "68e3d3b5b2d34ae5a06b3374e842d7e4": {
     "model_module": "@jupyter-widgets/controls",
     "model_name": "DescriptionStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "DescriptionStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "description_width": ""
     }
    },
    "7dd9684b165142ae8f0b432812f8d851": {
     "model_module": "@jupyter-widgets/base",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "80cb4b256f3d4008bd4a8004a1f5bfd8": {
     "model_module": "@jupyter-widgets/controls",
     "model_name": "ProgressStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "ProgressStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "bar_color": null,
      "description_width": "initial"
     }
    },
    "8510c7ae2b714f598e72018f0b39cf5b": {
     "model_module": "@jupyter-widgets/controls",
     "model_name": "DescriptionStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "DescriptionStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "description_width": ""
     }
    },
    "85905e52ec794013ba996014647057e0": {
     "model_module": "@jupyter-widgets/base",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "8a1c2b709c374f77b2ddb4f2bff047f7": {
     "model_module": "@jupyter-widgets/base",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "8e6f9aca5bf8426fb135f0b4489dbcae": {
     "model_module": "@jupyter-widgets/controls",
     "model_name": "HBoxModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HBoxModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HBoxView",
      "box_style": "",
      "children": [
       "IPY_MODEL_e25c009b8dca45878ee44b042f20bc41",
       "IPY_MODEL_a8d32ce9ab524f929d43e0cfa5f524b6"
      ],
      "layout": "IPY_MODEL_2b96c900d12b465680e2bfcec26a7a78"
     }
    },
    "8ed6160499794b639541bbcc796df054": {
     "model_module": "@jupyter-widgets/controls",
     "model_name": "DescriptionStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "DescriptionStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "description_width": ""
     }
    },
    "901b3549de8a42d9a9d000f6598ba2e2": {
     "model_module": "@jupyter-widgets/controls",
     "model_name": "FloatProgressModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "FloatProgressModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "ProgressView",
      "bar_style": "success",
      "description": "Downloading: 100%",
      "description_tooltip": null,
      "layout": "IPY_MODEL_59ea5195df1c4d5abea7cd96e98cb55a",
      "max": 801636,
      "min": 0,
      "orientation": "horizontal",
      "style": "IPY_MODEL_edbba95a029c4c2089c4caf0db354227",
      "value": 801636
     }
    },
    "926b6d04a7bc4803a28de8460a8457a2": {
     "model_module": "@jupyter-widgets/base",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "942bf25c702544efbefcfe63f531cc5a": {
     "model_module": "@jupyter-widgets/controls",
     "model_name": "HTMLModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HTMLModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HTMLView",
      "description": "",
      "description_tooltip": null,
      "layout": "IPY_MODEL_e6b76734603b4b64a913fa046b3a143c",
      "placeholder": "​",
      "style": "IPY_MODEL_1460d37e6d5d42fb81e40135cb43d5ab",
      "value": " 312M/312M [00:11&lt;00:00, 28.1MB/s]"
     }
    },
    "9613eabd214244e486e4592b1c82ed68": {
     "model_module": "@jupyter-widgets/controls",
     "model_name": "ProgressStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "ProgressStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "bar_color": null,
      "description_width": "initial"
     }
    },
    "a0d716e224d94d218b7e0fe64014261b": {
     "model_module": "@jupyter-widgets/controls",
     "model_name": "HBoxModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HBoxModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HBoxView",
      "box_style": "",
      "children": [
       "IPY_MODEL_cfe2ccd50a974fb8b6f17d0ccc102290",
       "IPY_MODEL_2893722225e044409ae6bfc91b9371ba"
      ],
      "layout": "IPY_MODEL_d2c857a1069247278e3979c5fa300af4"
     }
    },
    "a0eaa14420634ae1adcb64bb7be3c658": {
     "model_module": "@jupyter-widgets/base",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "a804b1934c86485a9882541df834bece": {
     "model_module": "@jupyter-widgets/base",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "a8d32ce9ab524f929d43e0cfa5f524b6": {
     "model_module": "@jupyter-widgets/controls",
     "model_name": "HTMLModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HTMLModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HTMLView",
      "description": "",
      "description_tooltip": null,
      "layout": "IPY_MODEL_b49b28cb70934028a89590b223fb9a48",
      "placeholder": "​",
      "style": "IPY_MODEL_c4ccff2da8ba429292b290e4a66c0d95",
      "value": " 1.59M/1.59M [00:01&lt;00:00, 1.17MB/s]"
     }
    },
    "aa142674cc1d4fa0b45e617038f4473b": {
     "model_module": "@jupyter-widgets/base",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "b49b28cb70934028a89590b223fb9a48": {
     "model_module": "@jupyter-widgets/base",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "b64120b5cb064512a3987a280fce0714": {
     "model_module": "@jupyter-widgets/controls",
     "model_name": "HBoxModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HBoxModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HBoxView",
      "box_style": "",
      "children": [
       "IPY_MODEL_e4874bee89894de7aec2ae14a0174467",
       "IPY_MODEL_2a64f8cbeeae43b3979d012bd0c81bfa"
      ],
      "layout": "IPY_MODEL_f51c9c83f9ff4d2da5ea942460e0888d"
     }
    },
    "c4ccff2da8ba429292b290e4a66c0d95": {
     "model_module": "@jupyter-widgets/controls",
     "model_name": "DescriptionStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "DescriptionStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "description_width": ""
     }
    },
    "cfa0e7efffd04c8d8e68cfd2b1f5fa15": {
     "model_module": "@jupyter-widgets/controls",
     "model_name": "DescriptionStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "DescriptionStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "description_width": ""
     }
    },
    "cfe2ccd50a974fb8b6f17d0ccc102290": {
     "model_module": "@jupyter-widgets/controls",
     "model_name": "FloatProgressModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "FloatProgressModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "ProgressView",
      "bar_style": "success",
      "description": "Downloading: 100%",
      "description_tooltip": null,
      "layout": "IPY_MODEL_aa142674cc1d4fa0b45e617038f4473b",
      "max": 825924,
      "min": 0,
      "orientation": "horizontal",
      "style": "IPY_MODEL_d2fbc06e3a864cc2a1507d3aefb8f839",
      "value": 825924
     }
    },
    "d2c857a1069247278e3979c5fa300af4": {
     "model_module": "@jupyter-widgets/base",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "d2fbc06e3a864cc2a1507d3aefb8f839": {
     "model_module": "@jupyter-widgets/controls",
     "model_name": "ProgressStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "ProgressStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "bar_color": null,
      "description_width": "initial"
     }
    },
    "d54ded903f574009a4c748455f9f65ee": {
     "model_module": "@jupyter-widgets/base",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "dd3baf0d91d14c6b83a750c48dc4223b": {
     "model_module": "@jupyter-widgets/base",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "e25c009b8dca45878ee44b042f20bc41": {
     "model_module": "@jupyter-widgets/controls",
     "model_name": "FloatProgressModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "FloatProgressModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "ProgressView",
      "bar_style": "success",
      "description": "Downloading: 100%",
      "description_tooltip": null,
      "layout": "IPY_MODEL_5f16ace30af44c18b591f7f1c7168f5e",
      "max": 1590040,
      "min": 0,
      "orientation": "horizontal",
      "style": "IPY_MODEL_80cb4b256f3d4008bd4a8004a1f5bfd8",
      "value": 1590040
     }
    },
    "e46d0251977a41abb08692f78bad4e77": {
     "model_module": "@jupyter-widgets/controls",
     "model_name": "HBoxModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HBoxModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HBoxView",
      "box_style": "",
      "children": [
       "IPY_MODEL_442dbde9060d4d18b532ba2115ef39f0",
       "IPY_MODEL_942bf25c702544efbefcfe63f531cc5a"
      ],
      "layout": "IPY_MODEL_d54ded903f574009a4c748455f9f65ee"
     }
    },
    "e4874bee89894de7aec2ae14a0174467": {
     "model_module": "@jupyter-widgets/controls",
     "model_name": "FloatProgressModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "FloatProgressModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "ProgressView",
      "bar_style": "success",
      "description": "Downloading: 100%",
      "description_tooltip": null,
      "layout": "IPY_MODEL_a804b1934c86485a9882541df834bece",
      "max": 44,
      "min": 0,
      "orientation": "horizontal",
      "style": "IPY_MODEL_1099c399638e465b9e7715e081686fc1",
      "value": 44
     }
    },
    "e6b76734603b4b64a913fa046b3a143c": {
     "model_module": "@jupyter-widgets/base",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "eb71228ea32c4a5582959c454e00528b": {
     "model_module": "@jupyter-widgets/controls",
     "model_name": "HBoxModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HBoxModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HBoxView",
      "box_style": "",
      "children": [
       "IPY_MODEL_f188b7dc00dc4b02a506fb37992b1802",
       "IPY_MODEL_395de003bbea4054b1f3b6ec91c6ab6f"
      ],
      "layout": "IPY_MODEL_dd3baf0d91d14c6b83a750c48dc4223b"
     }
    },
    "edbba95a029c4c2089c4caf0db354227": {
     "model_module": "@jupyter-widgets/controls",
     "model_name": "ProgressStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "ProgressStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "bar_color": null,
      "description_width": "initial"
     }
    },
    "f188b7dc00dc4b02a506fb37992b1802": {
     "model_module": "@jupyter-widgets/controls",
     "model_name": "FloatProgressModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "FloatProgressModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "ProgressView",
      "bar_style": "success",
      "description": "Downloading: 100%",
      "description_tooltip": null,
      "layout": "IPY_MODEL_7dd9684b165142ae8f0b432812f8d851",
      "max": 1189,
      "min": 0,
      "orientation": "horizontal",
      "style": "IPY_MODEL_2c58ab66759b4094b1e4c5ac3a8ca52f",
      "value": 1189
     }
    },
    "f51c9c83f9ff4d2da5ea942460e0888d": {
     "model_module": "@jupyter-widgets/base",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "fd031d525d514f949ed60a742df2b08b": {
     "model_module": "@jupyter-widgets/base",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    }
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}