Prior symmetry, similarity-based reasoning, and endogenous categorization
type: Item
instance of: scholarly article
title: Prior symmetry, similarity-based reasoning, and endogenous categorization
zbMATH Open document ID: 1209.91062
published in: Journal of Economic Theory
publication date: 2011-03-09T00:00:00Z
review text: The reviewed paper deals with a rational decision-making method consisting in the similarity-based clustering of the objects of interest. The author considers the problem of sequential learning regarding objects of incompletely known properties. Their unknown properties are estimated by means of analogy between the elements of particular clusters (called categories). Attention is mainly paid to the investigation of the considered environment whose elements are to be categorized, and the main results demonstrate the high importance of the concept of symmetry defined in the considered environment. It is shown the close relation between this symmetry and optimality of the categorization-based decision-making procedure of an inference problem. Optimality of the suggested procedure is illustrated by experimental observations.
reviewed by: Milan Mareš
Mathematics Subject Classification ID: 91B06
Mathematics Subject Classification ID: 91C20
Mathematics Subject Classification ID: 62H30
Mathematics Subject Classification ID: 68T37
zbMATH DE Number: 5862830
zbMATH Keywords: categorization
zbMATH Keywords: invariance
zbMATH Keywords: merging
zbMATH Keywords: reasoning
zbMATH Keywords: inference
zbMATH Keywords: decision-making
author: Marcin Pęski
MaRDI profile type: Publication
full work available at URL: j.jet.2010.08.006
OpenAlex ID: W2168160107
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DOI: 10.1016/J.JET.2010.08.006
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description: scientific article; zbMATH DE number 5862830