Case-Based Predictions: An Axiomatic Approach to Prediction, Classification and Statistical Learning
Itzhak Gilboa and
David Schmeidler
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Abstract:
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.
Keywords: Case-Based Predictions; Axiomatic Approach; Prediction; Classification; Statistical Learning (search for similar items in EconPapers)
Date: 2011
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Published in World Scientific Publishers, pp.NC, 2011, Economic Theory Series
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Book: Case-Based Predictions:An Axiomatic Approach to Prediction, Classification and Statistical Learning (2012) 
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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-00756301
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