Case-Based Predictions: An Axiomatic Approach To Prediction, Classification And Statistical Learning - World Scientific Series In Economic Theory 3

Itzhak Gilboa

ISBN 10: 981436617X / ISBN 13: 9789814366175

Published by World Scientific Publishing Company, 2012

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Bibliographic Details

• Title: Case-Based Predictions: An Axiomatic Approach To Prediction, Classification And Statistical Learning - World Scientific Series In Economic Theory 3
• Publisher: World Scientific Publishing Company
• Publication Date: 2012
• Language: English
• ISBN 10: 981436617X
• ISBN 13: 9789814366175
• Binding: Hardcover
• Condition: Brand New

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Synopsis

The book presents an axiomatic approach to the problems of prediction, classification, and statistical learning. Using methodologies from axiomatic decision theory, and, in particular, the authors' case-based decision theory, the present studies attempt to ask what inductive conclusions can be derived from existing databases. It is shown that simple consistency rules lead to similarity-weighted aggregation, akin to kernel-based methods. It is suggested that the similarity function be estimated from the data. The incorporation of rule-based reasoning is discussed.