Search results for "Pursuit algorithms"

showing 2 items of 2 documents

A formal proof of the ε-optimality of absorbing continuous pursuit algorithms using the theory of regular functions

2014

Published version of an article from the journal: Applied Intelligence. Also available on Springerlink: http://dx.doi.org/10.1007/s10489-014-0541-1 The most difficult part in the design and analysis of Learning Automata (LA) consists of the formal proofs of their convergence accuracies. The mathematical techniques used for the different families (Fixed Structure, Variable Structure, Discretized etc.) are quite distinct. Among the families of LA, Estimator Algorithms (EAs) are certainly the fastest, and within this family, the set of Pursuit algorithms have been considered to be the pioneering schemes. Informally, if the environment is stationary, their ε-optimality is defined as their abili…

Discrete mathematicsDiscretizationLearning automataAbsorbing CPAComputer scienceEstimatorMonotonic functionVDP::Technology: 500::Information and communication technology: 550Mathematical proofFormal proofCPAArbitrarily largeArtificial Intelligenceε-optimalityMartingale (probability theory)Pursuit algorithmsAlgorithm
researchProduct

On Using the Theory of Regular Functions to Prove the ε-Optimality of the Continuous Pursuit Learning Automaton

2013

Published version of a chapter in the book: Recent Trends in Applied Artificial Intelligence. Also available from the publisher at: http://dx.doi.org/10.1007/978-3-642-38577-3_27 There are various families of Learning Automata (LA) such as Fixed Structure, Variable Structure, Discretized etc. Informally, if the environment is stationary, their ε-optimality is defined as their ability to converge to the optimal action with an arbitrarily large probability, if the learning parameter is sufficiently small/large. Of these LA families, Estimator Algorithms (EAs) are certainly the fastest, and within this family, the set of Pursuit algorithms have been considered to be the pioneering schemes. The…

Property (philosophy)Learning automataComputer scienceVDP::Mathematics and natural science: 400::Information and communication science: 420::Algorithms and computability theory: 422Structure (category theory)Monotonic functionMathematical proofAutomatonArbitrarily largeε-optimalityContinuous Pursuit AlgorithmCalculuspursuit algorithmsAlgorithmVariable (mathematics)
researchProduct