Inducing Probabilistic Programs by Bayesian Program Merging

By Irvin Hwang, Andreas Stuhlmüller, Noah D. Goodman. 2011

34 citations recorded by the source corpus.

This report outlines an approach to learning generative models from data. We express models as probabilistic programs, which allows us to capture abstract patterns within the examples. By choosing our language for programs to be an extension of the algebraic data type of the examples, we can begin with a program that generates all and only the examples. We then introduce greater abstraction, and hence generalization, incrementally to the extent that it improves the posterior probability of the examples given the program. Motivated by previous approaches to model merging and program induction, we search for such explanatory abstractions using program transformations. We consider two types of transformation: Abstraction merges common subexpressions within a program into new functions (a form of anti-unification). Deargumentation simplifies functions by reducing the number of arguments. We demonstrate that this approach finds key patterns in the domain of nested lists, including parameterized sub-functions and stochastic recursion.

Subfields: Reinforcement Learning, Probabilistic & Bayesian Methods

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Reinforcement Learning

  1. Frank D. Wood
  2. Brooks Paige
  3. Jan-Willem van de Meent
  4. Hongseok Yang

In Probabilistic & Bayesian Methods

  1. Yura N. Perov
  2. Frank D. Wood
  3. Hongseok Yang
  4. Jan-Willem van de Meent
  5. Brooks Paige
  6. David Tolpin
  7. Zoubin Ghahramani
  8. Tuan Anh Le

Citations in the corpus