A WEIGHTED MESSAGE-PASSING ALGORITHM TO ESTIMATE VOLUME-RELATED PROPERTIES OF RANDOM POLYTOPES

Author

Font-Clos, F.

Massucci, F.A.

Castillo, I.P.

Publication date

2012-01-01



Abstract

In this letter, we introduce a novel message-passing algorithm for a class of problems which can be mathematically understood as estimating volume-related properties of random polytopes. Unlike the usual approach consisting in approximating the real-valued cavity marginal distributions by a few parameters, we propose a weighted message-passing algorithm to deal with the entire function. Various alternatives of how to implement our approach are discussed and numerical results for random polytopes are compared with results using the Hit-and-Run algorithm.

Document Type

Preliminary Edition

Language

English

CDU Subject

51 - Mathematics

Subject

Matemàtiques

Pages

8 p.

Documents

A73-fontclos_preprintCRM_v1MaRcAt.pdf

254.9Kb

 

Rights

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