
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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