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fix the bug in sigmoid_cross_entropy_with_logits_grad_kernel #64253

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May 16, 2024
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Original file line number Diff line number Diff line change
Expand Up @@ -47,8 +47,15 @@ void SigmoidCrossEntropyWithLogitsGradKernel(
if (static_cast<int>(label) == ignore_index) {
dx_data[idx] = static_cast<T>(0.);
} else {
T simoid_x = static_cast<T>(1) / (static_cast<T>(1) + std::exp(-x));
T diff = simoid_x * pos_weight_idx - label;
T term1 = (x > 0) ? static_cast<T>(1) : static_cast<T>(0);

T e_x = std::exp(-std::abs(x));
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这里为什么要加 std::abs(x) ? e_x 变量不是指的e^(-x) 么?

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这是根据前向计算的求导得到的,前向计算是$e^{-|X|}$,其导数是$-e^{-|x|} * where(x>=0,1,0)$

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因为前向中的e^x是e^-abs(x),所以反向也需要保持e^-abs(x)

T down = 1 + e_x;
T abs_grad = (x >= 0) ? static_cast<T>(1) : static_cast<T>(-1);
T up = -e_x * abs_grad * pos_weight_idx;
T term3 = up / down;

T diff = term1 - label + term3;
dx_data[idx] = dout * diff;
}
}
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Original file line number Diff line number Diff line change
Expand Up @@ -73,9 +73,14 @@ struct SigmoidBwdPosWeightFunctor {
dx_data = static_cast<T>(0.);
counts = 0;
} else {
T simoid_x =
static_cast<T>(1) / (static_cast<T>(1) + phi::funcs::real_exp(-x));
T diff = simoid_x * pos_weight - label;
T term1 = (x > 0) ? static_cast<T>(1) : static_cast<T>(0);
T e_x = std::exp(-std::abs(x));
T down = 1 + e_x;
T abs_grad = (x >= 0) ? static_cast<T>(1) : static_cast<T>(-1);
T up = -e_x * abs_grad * pos_weight;
T term3 = up / down;

T diff = term1 - label + term3;
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建议调用其他kernel实现

dx_data = dout * diff;
counts = 1;
}
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