| Paper Abstract and Keywords |
| Presentation |
2020-02-08 13:45
Non-dual solving method of constrained convex optimization problem and its application to inverse image processing problem
Hayato Endo, Hiroyuki Kudo (Tsukuba Univ.) |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
The purpose of this study is to develop a non-dual algorithm that does not use tools such as dual variables, which are required in the past to solve the constrained convex optimization problem exactly. In this paper, we propose a new proximal gradient method that can be obtained by adding two improvements to the proximal gradient method that can obtain an approximate solution. This method does not use dual variables like the proximal gradient method, and can find exact solutions. We apply the proposed method to image inpainting and denoising problem, and conduct an experiment to examine its usefulness in inverse image processing problem. It is confirmed that the proposed method is a non-dual method but has performance comparable to the conventional dual method. |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
inverse image processing / proximal gradient method / non-dual method / exact solutions / / / / |
| Reference Info. |
ITE Tech. Rep., vol. 44, no. 4, ME2020-16, pp. 55-56, Feb. 2020. |
| Paper # |
ME2020-16 |
| Date of Issue |
2020-02-01 (ME) |
| ISSN |
Print edition: ISSN 1342-6893 Online edition: ISSN 2424-1970 |
| Download PDF |
|
| Conference Information |
| Committee |
ME |
| Conference Date |
2020-02-08 - 2020-02-08 |
| Place (in Japanese) |
(See Japanese page) |
| Place (in English) |
Kanto Gakuin University |
| Topics (in Japanese) |
(See Japanese page) |
| Topics (in English) |
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| Paper Information |
| Registration To |
ME |
| Conference Code |
2020-02-ME |
| Language |
Japanese |
| Title (in Japanese) |
(See Japanese page) |
| Sub Title (in Japanese) |
(See Japanese page) |
| Title (in English) |
Non-dual solving method of constrained convex optimization problem and its application to inverse image processing problem |
| Sub Title (in English) |
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| Keyword(1) |
inverse image processing |
| Keyword(2) |
proximal gradient method |
| Keyword(3) |
non-dual method |
| Keyword(4) |
exact solutions |
| Keyword(5) |
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| 1st Author's Name |
Hayato Endo |
| 1st Author's Affiliation |
Unicersity of Tsukuba (Tsukuba Univ.) |
| 2nd Author's Name |
Hiroyuki Kudo |
| 2nd Author's Affiliation |
Unicersity of Tsukuba (Tsukuba Univ.) |
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| Speaker |
Author-1 |
| Date Time |
2020-02-08 13:45:00 |
| Presentation Time |
15 minutes |
| Registration for |
ME |
| Paper # |
ME2020-16 |
| Volume (vol) |
vol.44 |
| Number (no) |
no.4 |
| Page |
pp.55-56 |
| #Pages |
2 |
| Date of Issue |
2020-02-01 (ME) |