Title
Solving maximum-entropy sampling problems using factored masks
Abstract
We present a practical approach to Anstreicher and Lee’s masked spectral bound for maximum-entropy sampling, and we describe favorable results that we have obtained with a Branch-and-Bound algorithm based on our approach. By representing masks in factored form, we are able to easily satisfy a semidefiniteness constraint. Moreover, this representation allows us to restrict the rank of the mask as a means for attempting to practically incorporate second-order information.
Year
DOI
Venue
2007
10.1007/s10107-006-0024-1
Math. Program.
Keywords
Field
DocType
second-order information,practical approach,entropy ·branchandbound ·nonlinearprogramming ·eigenvalue,factored mask,branch-and-bound algorithm,maximum-entropy sampling problem,factored form,favorable result,semidefiniteness constraint,maximum-entropy sampling,second order,satisfiability,maximum entropy,eigenvalues,branch and bound algorithm
Mathematical optimization,Branch and bound,Form factor (quantum field theory),Nonlinear programming,Sampling (statistics),Branch and bound method,Principle of maximum entropy,Eigenvalues and eigenvectors,Mathematics,restrict
Journal
Volume
Issue
ISSN
109
2
1436-4646
Citations 
PageRank 
References 
7
0.60
7
Authors
2
Name
Order
Citations
PageRank
Samuel Burer1114873.09
Jon Lee285658.60