Flow-based generative model: Difference between revisions

Revision as of 19:23, 10 June 2025

Revision as of 19:28, 10 June 2025

Line 263:

\mathbf p=f^{-1}_\text{cal}(\mathbf q; a, \mathbf c) = \operatorname{softmax}(a\log\mathbf q-a\mathbf c)

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where the log is applied elementwise. After some algebra the '''differential volume ratio''' can be expressed as:

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R^\Delta_\text{cal}(\mathbf p; a, \mathbf c) = \left|\operatorname{det}(\mathbf{RF_pE})\right| = a^{1-n}\prod_{i=1}^n\frac{q_i}{p_i}