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Learning in Integer Latent Variable Models with Nested Automatic Differentiation
Daniel Sheldon · Kevin Winner · Debora Sujono

Fri Jul 13 12:30 AM -- 12:50 AM (PDT) @ A4
in Graphical Models 2 »

We develop nested automatic differentiation (AD) algorithms for exact inference and learning in integer latent variable models. Recently, Winner, Sujono, and Sheldon showed how to reduce marginalization in a class of integer latent variable models to evaluating a probability generating function which contains many levels of nested high-order derivatives. We contribute faster and more stable AD algorithms for this challenging problem and a novel algorithm to compute exact gradients for learning. These contributions lead to significantly faster and more accurate learning algorithms, and are the first AD algorithms whose running time is polynomial in the number of levels of nesting.

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Author Information

Daniel Sheldon (University of Massachusetts Amherst)
Kevin Winner (University of Massachusetts, Amherst)
Debora Sujono (University of Massachusetts Amherst)

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