Cart (Loading....) | Create Account
Close category search window
 

On Algorithms for a Binary-Real (max, X) Matrix Approximation Problem

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

3 Author(s)
De Schutter, B. ; Delft Center for Syst. & Control, Delft Univ. of Technol. ; Schepers, J. ; Van Mechelen, I.

We consider algorithms to solve the problem of approximating a given matrix D with the (max, times) product of a binary (i.e., a 0-1) matrix S and a real matrix P: minSPparS odot P - Dpar, The norm to be used is the l1, l2, or linfin norm, and the (max, times) matrix product is constructed in the same way as the conventional matrix product, but with addition replaced by maximization. This approximation problem arises among others in data clustering applications where the maximal component instead of the sum of the components determines the final result. We propose several algorithms to address this problem. The binary-real (max, times) matrix approximation problem can be solved exactly using mixed-integer programming, but since this approach suffers from combinatorial explosion we also propose some alternative approaches based on alternating nonlinear optimization, and a method to obtain good initial solutions. We conclude with a simulation study in which the performance and optimality of the different algorithms are compared

Published in:

Decision and Control, 2006 45th IEEE Conference on

Date of Conference:

13-15 Dec. 2006

Need Help?


IEEE Advancing Technology for Humanity About IEEE Xplore | Contact | Help | Terms of Use | Nondiscrimination Policy | Site Map | Privacy & Opting Out of Cookies

A not-for-profit organization, IEEE is the world's largest professional association for the advancement of technology.
© Copyright 2014 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.