Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9651755 | International Journal of Approximate Reasoning | 2005 | 27 Pages |
Abstract
We introduce a set of transformations on the set of all probability distributions over a finite state space, and show that these transformations are the only ones that preserve certain elementary probabilistic relationships. This result provides a new perspective on a variety of probabilistic inference problems in which invariance considerations play a role. Two particular applications we consider in this paper are the development of an equivariance-based approach to the problem of measure selection, and a new justification for Haldane's prior as the distribution that encodes prior ignorance about the parameter of a multinomial distribution.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Manfred Jaeger,