TY - CHAP

T1 - Statistical Learning Theory as a Framework for the Philosophy of Induction

AU - Harman, Gilbert

AU - Kulkarni, Sanjeev

N1 - Publisher Copyright:
© 2011 Elsevier B.V. All rights reserved.

PY - 2011

Y1 - 2011

N2 - Statistical Learning Theory is the basic theory behind contemporary machine learning and pattern recognition. It suggests that the theory provides an excellent framework for the philosophy of induction. There are various paradigmatic approaches to specifying the problem of induction. It assumes one has an initial known subjective probability distribution satisfying certain more or less weak conditions along with a method for updating one's probabilities, e.g. by conditionalization, and proves theorems about the results of such a method. Statistical learning theory represents another paradigm which assumes there is an unknown objective probability distribution that characterizes the data and the new cases about which inferences are to be made, the goal being to do as well as possible in characterizing the new cases in terms of that unknown objective probability distribution. The basic theory attempts to specify what can be proved about various methods for using data to reach conclusions about new cases.

AB - Statistical Learning Theory is the basic theory behind contemporary machine learning and pattern recognition. It suggests that the theory provides an excellent framework for the philosophy of induction. There are various paradigmatic approaches to specifying the problem of induction. It assumes one has an initial known subjective probability distribution satisfying certain more or less weak conditions along with a method for updating one's probabilities, e.g. by conditionalization, and proves theorems about the results of such a method. Statistical learning theory represents another paradigm which assumes there is an unknown objective probability distribution that characterizes the data and the new cases about which inferences are to be made, the goal being to do as well as possible in characterizing the new cases in terms of that unknown objective probability distribution. The basic theory attempts to specify what can be proved about various methods for using data to reach conclusions about new cases.

UR - http://www.scopus.com/inward/record.url?scp=84876127943&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84876127943&partnerID=8YFLogxK

U2 - 10.1016/B978-0-444-51862-0.50027-7

DO - 10.1016/B978-0-444-51862-0.50027-7

M3 - Chapter

AN - SCOPUS:84876127943

SN - 9780444518620

SP - 833

EP - 847

BT - Philosophy of Statistics

PB - Elsevier

ER -