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10/8/2025. Presented by Dr. Muhammad Nouman Noor.

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Today’s Lecture Flow-based Models Change of variables Jacobian Matrix.

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Presented by Dr. Muhammad Nouman Noor. 3. Review of Previous Lecture.

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Decoder network. Sample z from. Sample x|z from. Input Data.

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Conditional Variational Autoencoders (CVAEs). Ct [log z) + logp(zlxi)] + Yi)) just like before, only now generating and everything is conditioned on at test time: p(z) can optionally depend on.

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[image] O o ooo 0000 P (.7'A.r o ooo A denoising encoder simply corrupts the input data using a probabilistic process ( P (7 ) ) before feeding it ij ij to the network A sirnple P(7'ij used in practice is the following P (.7:• = ()lXij) = q In other words, with probability q the input is flipped to O and with probab- ility (1 — q) it is retained as it is.

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Presented by Dr. Muhammad Nouman Noor. 7. Today’s Lecture.