Presentation 2021-10-29
Visualization and quantification of the difficulty of combinatorial optimization problems in Ising formulation
Keiichi Soejima, Makiko Konoshima, Hirotaka Tamura, Jun Ohkubo,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) With the aim of rapidly solving combinatorial optimization problems, dedicated hardware using the Ising Model is being developed. Although annealing by dedicated hardware is used, using it to find solutions to certain problems is difficult. Accordingly, we attempt to visualize and quantify the difficulty of individual problems by analyzing one-dimensional time-series data sampled from a cost function. Specifically, we propose (i) an improved method for extracting local solutions from time series data that is suitable for the Ising model and (ii) a method for visualizing and quantifying the difficulty of finding solutions by clustering and distance-matrix analysis. Using two problems with different eases of finding solutions, we confirmed that the proposed methods reflect the difference in the difficulties of solving the problems.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Ising formulation / time series data / visualization / quantification
Paper # NC2021-25
Date of Issue 2021-10-21 (NC)

Conference Information
Committee MBE / NC
Conference Date 2021/10/28(2days)
Place (in Japanese) (See Japanese page)
Place (in English) Online
Topics (in Japanese) (See Japanese page)
Topics (in English)
Chair Ryuhei Okuno(Setsunan Univ.) / Rieko Osu(Waseda Univ.)
Vice Chair Junichi Hori(Niigata Univ.) / Hiroshi Yamakawa(Univ of Tokyo)
Secretary Junichi Hori(Osaka Electro-Communication Univ) / Hiroshi Yamakawa(ATR)
Assistant Jun Akazawa(Meiji Univ. of Integrative Medicine) / Emi Yuda(Tohoku Univ) / Nobuhiko Wagatsuma(Toho Univ.) / Tomoki Kurikawa(KMU)

Paper Information
Registration To Technical Committee on ME and Bio Cybernetics / Technical Committee on Neurocomputing
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Visualization and quantification of the difficulty of combinatorial optimization problems in Ising formulation
Sub Title (in English)
Keyword(1) Ising formulation
Keyword(2) time series data
Keyword(3) visualization
Keyword(4) quantification
1st Author's Name Keiichi Soejima
1st Author's Affiliation Saitama University(Saitama Univ.)
2nd Author's Name Makiko Konoshima
2nd Author's Affiliation Fujitsu Limited(Fujitsu)
3rd Author's Name Hirotaka Tamura
3rd Author's Affiliation Fujitsu Limited(Fujitsu)
4th Author's Name Jun Ohkubo
4th Author's Affiliation Saitama University(Saitama Univ.)
Date 2021-10-29
Paper # NC2021-25
Volume (vol) vol.121
Number (no) NC-223
Page pp.pp.40-45(NC),
#Pages 6
Date of Issue 2021-10-21 (NC)