Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/115994
Type: | Conference paper |
Title: | Solving constrained combinatorial optimization problems via MAP inference without high-order penalties |
Author: | Zhang, Z. Shi, Q. McAuley, J. Wei, W. Zhang, Y. Yao, R. Van Den Hengel, A. |
Citation: | Proceedings of the ... AAAI Conference on Artificial Intelligence. AAAI Conference on Artificial Intelligence, 2017, pp.3804-3810 |
Publisher: | AAAI |
Issue Date: | 2017 |
Series/Report no.: | AAAI Conference on Artificial Intelligence |
ISSN: | 2159-5399 2374-3468 |
Conference Name: | Thirty-first AAAI Conference on Artificial Intelligence (AAAI-17) (4 Feb 2017 - 9 Feb 2017 : San Francisco) |
Statement of Responsibility: | Zhen Zhang, Qinfeng Shi, Julian McAuley, WeiWei, Yanning Zhang, Rui Yao, Anton van den Hengel |
Abstract: | Solving constrained combinatorial optimization problems via MAP inference is often achieved by introducing extra potential functions for each constraint. This can result in very high order potentials, e.g. a 2nd-order objective with pairwise potentials and a quadratic constraint over all N variables would correspond to an unconstrained objective with an order-N potential. This limits the practicality of such an approach, since inference with high order potentials is tractable only for a few special classes of functions. We propose an approach which is able to solve constrained combinatorial problems using belief propagation without increasing the order. For example, in our scheme the 2nd-order problem above remains order 2 instead of order N. Experiments on applications ranging from foreground detection, image reconstruction, quadratic knapsack, and the M-best solutions problem demonstrate the effectiveness and efficiency of our method. Moreover, we show several situations in which our approach outperforms commercial solvers like CPLEX and others designed for specific constrained MAP inference problems. |
Rights: | Copyright © 2017, Association for the Advancement of Artificial Intelligence (www.aaai.org). All rights reserved. |
Grant ID: | http://purl.org/au-research/grants/arc/DP140102270 http://purl.org/au-research/grants/arc/DP160100703 |
Published version: | https://aaai.org/ocs/index.php/AAAI/AAAI17/paper/view/14450 |
Appears in Collections: | Aurora harvest 3 Australian Institute for Machine Learning publications Computer Science publications |
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.