Stable Function Approximation in Dynamic Programming,

Abstract

The success of reinforcement learning in practical problems depends on the ability to combine function approximation with temporal difference methods such as value iteration. Experiments in this area have produced mixed results; there have been both notable successes and notable disappointments. Theory has been scarce, mostly due to the difficulty of reasoning about function approximators that generalize beyond the observed data. We provide a proof of convergence for a wide class of temporal difference methods involving function approximators such as k-nearest-neighbor, and show experimentally that these methods can be useful. The proof is based on a view of function approximators as expansion or contraction mappings. In addition, we present a novel view of approximate value iteration: an approximate algorithm for one environment turns out to be an exact algorithm for a different environment.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1995
Accession Number
ADA290224

Entities

People

  • Geoffrey J. Gordon

Organizations

  • Carnegie Mellon University

Tags

Communities of Interest

  • Autonomy
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Artificial Intelligence
  • Computer Science
  • Dynamic Programming
  • Information Processing
  • Information Science
  • Information Systems
  • Machine Learning
  • Markov Processes
  • Neural Networks
  • Probability
  • Random Variables
  • Real Numbers
  • Reinforcement Learning
  • Theorems
  • Vector Spaces

Fields of Study

  • Computer science

Readers

  • Mathematical Modeling and Probability Theory.
  • Neural Network Machine Learning.
  • Systems Analysis and Design

Technology Areas

  • AI & ML
  • AI & ML - Machine Learning Algorithms