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beginner_source/blitz/autograd_tutorial.py

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# .. math::
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#
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#
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# J^{T}\cdot \vec{v}=\left(\begin{array}{ccc}
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# J^{T}\cdot \vec{v} = m \cdot \left(\begin{array}{ccc}
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# \frac{\partial y_{1}}{\partial x_{1}} & \cdots & \frac{\partial y_{m}}{\partial x_{1}}\\
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# \vdots & \ddots & \vdots\\
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# \frac{\partial y_{1}}{\partial x_{n}} & \cdots & \frac{\partial y_{m}}{\partial x_{n}}
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# \end{array}\right)\left(\begin{array}{c}
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# \frac{\partial l}{\partial y_{1}}\\
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# \vdots\\
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# \frac{\partial l}{\partial y_{m}}
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# \end{array}\right)=\left(\begin{array}{c}
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# \end{array}\right) = m \cdot \left(\begin{array}{c}
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# \frac{\partial l}{\partial x_{1}}\\
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# \vdots\\
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# \frac{\partial l}{\partial x_{n}}
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# \end{array}\right)
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#
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# This characteristic of vector-Jacobian product is what we use in the above example;
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# ``external_grad`` represents :math:`\vec{v}`.
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#
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