DMCA
Continuous-based Heuristics for Graph and Tree Isomorphisms, with Application to Computer Vision (1999)
| Venue: | in NIPS 99 Workshop on Complexity and Neural Computation |
| Citations: | 7 - 0 self |
BibTeX
@INPROCEEDINGS{Pelillo99continuous-basedheuristics,
author = {Marcello Pelillo and Kaleem Siddiqi and Steven W. Zucker},
title = {Continuous-based Heuristics for Graph and Tree Isomorphisms, with Application to Computer Vision},
booktitle = {in NIPS 99 Workshop on Complexity and Neural Computation},
year = {1999},
publisher = {Kluwer Academic Publishers}
}
Share
 |
 |
 |
 |
||
OpenURL
Abstract
We present a new (continuous) quadratic programming approach for graph- and tree-isomorphism problems which is based on an equivalent maximum clique formulation. The approach is centered around a fundamental result proved by Motzkin and Straus in the mid-1960s, and recently expanded in various ways, which allows us to formulate the maximum clique problem in terms of a standard quadratic program. The attractive feature of this formulation is that a clear one-to-one correspondence exists between the solutions of the quadratic programs and those in the original, combinatorial problems. To approximately solve the program we use the so-called "replicator" equations, a class of straightforward continuous- and discrete-time dynamical systems developed in various branches of theoretical biology. We show how, despite their inherent inability to escape from local solutions, they nevertheless provide experimental results which are competitive with those obtained using more sophisticated mean-fiel...
Keyphrases
tree isomorphism continuous-based heuristic computer vision clear one-to-one correspondence exists discrete-time dynamical system various branch maximum clique problem standard quadratic program combinatorial problem inherent inability equivalent maximum clique formulation tree-isomorphism problem quadratic program sophisticated mean-fiel so-called replicator equation fundamental result quadratic programming approach attractive feature various way local solution theoretical biology experimental result
