ANALYSIS OF MARKOV CHAIN MODELS OF ADAPTIVE PROCESSES

Abstract

Learning and adaptation are considered to be stochastic in nature by most modern psychologists and by many engineers. Markov chains are among the simplest and best understood models of stochastic processes and, in recent years, have frequently found application as models of adaptive processes. A number of new techniques are developed for the analysis of synchronous and asynchronous Markov chains, with emphasis on the problems encountered in the use of these chains as models of adaptive processes. Signal flow analysis yields simplified computations of asymptotic success probabilities, delay times, and other indices of performance. The techniques are illustrated by several examples of adaptive processes. These examples yield further insight into the relations between adaptation and feedback.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1965
Accession Number
AD0613075

Entities

People

  • J. Sklansky
  • K. R. Kaplan

Tags

Communities of Interest

  • Biomedical
  • Space

DTIC Thesaurus Topics

  • Adaptive Systems
  • Artificial Intelligence
  • Biological Sciences
  • Computations
  • Contracts
  • Detection
  • Differential Equations
  • Markov Chains
  • Markov Processes
  • Partial Differential Equations
  • Pattern Recognition
  • Probability
  • Random Variables
  • Random Walk
  • Statistics
  • Steady State
  • Stochastic Processes

Fields of Study

  • Mathematics

Readers

  • Artificial Intelligence
  • Control Systems Engineering.
  • Systems Analysis and Design