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Probability Distribution and Generative Learning

  • On the forward pass, an RBM uses input values to compute the hidden layer's activations (its predictions). - On the backward pass, those hidden activations are fed back through the same weights to produce a reconstruction: an estimate of P(inputhidden activations)P(\text{input} \mid \text{hidden activations}). - Because this reconstruction estimates a probability distribution over the input rather than a single deterministic value, the process is called generative learning. - An RBM compares its estimated distribution to the true input distribution using Kullback-Leibler (KL) Divergence, which measures the non-overlapping area between the two distributions. - Training minimizes this KL Divergence, adjusting the shared weights so that the reconstruction becomes an increasingly close approximation of the original input.
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Updated 2026-07-11

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Data Science