@@ -150,14 +150,13 @@ class NadarayaWatsonHatMatrix(HatMatrix):
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For smoothing, :math:`\{x_1, ..., x_n\}` are the points with known value
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and :math:`\{x_1', ..., x_m'\}` are the points for which it is desired to
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estimate the smoothed value. The distance :math:`d` is the absolute value
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- function, as detailed in Wasserman's chapter *"Nonparametric Regression"*,
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- pp. 61-123\ :footcite:`wasserman_2006`.
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+ function, as detailed in Wasserman ( chapter 5)\
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+ :footcite:`wasserman_2006`.
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For regression, :math:`\{x_1, ..., x_n\}` is the functional data and
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:math:`\{x_1', ..., x_m'\}` are the functions for which it is desired to
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estimate the scalar value. Here, :math:`d` is some functional distance.
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- For more information, see Ferraty and Vieu's chapter, *"Functional
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- Nonparametric Prediction Methodologies"*, pp. 49-59\
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+ For more information, see Ferraty and Vieu (chapter 5)\
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:footcite:`ferraty+vieu_2006`.
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In both cases :math:`K(\cdot)` is a kernel function and :math:`h` is the
@@ -228,8 +227,8 @@ class LocalLinearRegressionHatMatrix(HatMatrix):
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where :math:`\{t_1, t_2, ..., t_n\}` are points with known value and
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:math:`\{t_1', t_2', ..., t_m'\}` are the points for which it is
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desired to estimate the smoothed value.
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- For a more detailed explanation, see Wasserman's chapter *"Nonparametric
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- Regression"*, pp. 61-123\ :footcite:`wasserman_2006`.
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+ For a more detailed explanation, see Wasserman ( chapter 5)\
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+ :footcite:`wasserman_2006`.
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For **kernel regression** algorithm:
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@@ -451,8 +450,8 @@ class KNeighborsHatMatrix(HatMatrix):
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In both cases, :math:`K(\cdot)` is a kernel function and
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:math:`h_{i}` is calculated as the distance from :math:`x_i'` to its
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``n_neighbors``-th nearest neighbor in :math:`\{x_1, ..., x_n\}`, as
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- detailed in Ferraty and Vieu's chapter, *"Computational Issues"*,
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- pp. 99.-108\ :footcite:ps:`ferraty+vieu_2006`.
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+ detailed in Ferraty and Vieu ( chapter 7)\
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+ :footcite:ps:`ferraty+vieu_2006`.
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Used with the uniform kernel, it takes the average of the closest
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``n_neighbors`` points to a given point.
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