| Presentation | 2018-12-12 Minimization of an M-convex Function under L1-distance Constraint Akiyoshi Shioura, |
|---|---|
| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In this paper we consider a new problem of minimizing an M-convex function under L1-distance constraint (MML1); the constraint is given by an upper bound for L1-distance between a feasible solution and a given “center.” We present a pseudo-polynomial-time algorithm for (MML1) based on steepest descent approach. We also propose two polynomial-time algorithms for (MML1) by replacing the L1-distance constraint with a simple linear constraint. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | discrete convex analysis / discrete convex function / nonlinear integer programming problem / polynomial-time algorithm |
| Paper # | COMP2018-33 |
| Date of Issue | 2018-12-05 (COMP) |
| Conference Information | |
| Committee | COMP |
|---|---|
| Conference Date | 2018/12/12(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Tohoku University |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | Toshihiro Fujito(Toyohashi Univ. of Tech.) |
| Vice Chair | Shinichi Nakano(Gunma Univ.) |
| Secretary | Shinichi Nakano(Kyoto Univ.) |
| Assistant | Kazuhisa Seto(Seikei Univ.) |
| Paper Information | |
| Registration To | Technical Committee on Theoretical Foundations of Computing |
|---|---|
| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Minimization of an M-convex Function under L1-distance Constraint |
| Sub Title (in English) | |
| Keyword(1) | discrete convex analysis |
| Keyword(2) | discrete convex function |
| Keyword(3) | nonlinear integer programming problem |
| Keyword(4) | polynomial-time algorithm |
| 1st Author's Name | Akiyoshi Shioura |
| 1st Author's Affiliation | Tokyo Institute of Technology(Tokyo Inst. Tech.) |
| Date | 2018-12-12 |
| Paper # | COMP2018-33 |
| Volume (vol) | vol.118 |
| Number (no) | COMP-356 |
| Page | pp.pp.15-20(COMP), |
| #Pages | 6 |
| Date of Issue | 2018-12-05 (COMP) |