Case-Based Predictions: An Axiomatic Approach To Prediction, Classification And Statistical Learning

Case-Based Predictions: An Axiomatic Approach To Prediction, Classification And Statistical Learning book cover

Case-Based Predictions: An Axiomatic Approach To Prediction, Classification And Statistical Learning

Author(s): Itzhak Gilboa (Author), David Schmeidler

  • Publisher: Wspc
  • Publication Date: April 26, 2012
  • Language: English
  • Print length: 346 pages
  • ISBN-10: B00FUA1IGK

Book Description

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.

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