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20 Jan 2025

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Deep Learning · Backpropagation

Backpropagation as the chain rule applied layer by layer; a two-layer network trained on XOR in pure NumPy, plus a numerical gradient check.

  • Backprop computes every gradient in one backward pass by reusing the chain rule from the output toward the input.
  • A numerical gradient check catches most backprop bugs.

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