Axiomatic geometry of conditional models
Lebanon, G.
Sch. of Comput. Sci., Carnegie Mellon Univ., Pittsburgh, PA;
This paper appears in: Information Theory, IEEE Transactions on
Publication Date: April 2005
Volume: 51,
Issue: 4
On page(s): 1283-1294
ISSN: 0018-9448
INSPEC Accession Number: 8353901
Digital Object Identifier: 10.1109/TIT.2005.844060
Current Version Published: 2005-04-04
Abstract
We formulate and prove an axiomatic characterization of the Riemannian geometry underlying manifolds of conditional models. The characterization holds for both normalized and nonnormalized conditional models. In the normalized case, the characterization extends the derivation of the Fisher information by Cencov while in the nonnormalized case it extends Campbell's theorem. Due to the close connection between the conditional I-divergence and the product Fisher information metric, we provides a new axiomatic interpretation of the geometries underlying logistic regression and AdaBoost
Index
Terms
Available to subscribers and IEEE members.
References
Available to subscribers and IEEE members.
Citing Documents
Available to subscribers and IEEE members.
Cart
