Name
Title | ||
|---|---|---|
Accelerating simulated annealing for the permanent and combinatorial counting problems |
Abstract | ||
|---|---|---|
We present an improved "cooling schedule" for simulated annealing algorithms for combinatorial counting problems. Under our new schedule the rate of cooling accelerates as the temperature decreases. Thus, fewer intermediate temperatures are needed as the simulated annealing algorithm moves from the high temperature (easy region) to the low temperature (dicult region). We present applications of our technique to colorings and the permanent (perfect matchings of bipartite graphs). Moreover, for the permanent, we improve the analysis of the Markov chain underly- ing the simulated annealing algorithm. This improved analysis, combined with the faster cooling schedule, results in an O(n7 log4 n) time algorithm for approximating the permanent of a 0/1 matrix. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1145/1109557.1109656 | SIAM J. Comput. |
Keywords | Field | DocType |
bipartite graph,simulated annealing,markov chain monte carlo,simulated annealing algorithm,markov chain | Simulated annealing,Discrete mathematics,Combinatorics,Vertex (geometry),Computer science,Matrix (mathematics),Markov chain,Bipartite graph,Counting problem,Adaptive simulated annealing,Linear inequality | Journal |
Volume | Issue | ISBN |
37 | 5 | 0-89871-605-5 |
Citations | PageRank | References |
16 | 1.34 | 16 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ivona Bezáková | 1 | 141 | 19.66 |
| Daniel Stefankovic | 2 | 243 | 28.65 |
| Vijay V. Vazirani | 3 | 4942 | 702.02 |
| Eric Vigoda | 4 | 747 | 76.55 |