About the Authors

Misako Takayasu

takayasu@dis.titech.ac.jp (MT); sano@sk.tsukuba.ac.jp (YS)

Affiliation Interdisciplinary Graduate School of Science and Engineering, Tokyo Institute of Technology, Yokohama, Kanagawa, Japan

Kazuya Sato

Affiliation Interdisciplinary Graduate School of Science and Engineering, Tokyo Institute of Technology, Yokohama, Kanagawa, Japan

Yukie Sano

takayasu@dis.titech.ac.jp (MT); sano@sk.tsukuba.ac.jp (YS)

Affiliations College of Science and Technology, Nihon University, Funabashi, Chiba, Japan, Faculty of Engineering, Information and Systems, University of Tsukuba, Tsukuba, Ibaraki, Japan

Kenta Yamada

Affiliations Waseda Institute for Advanced Study, Shinjuku, Tokyo, Japan, Graduate School of Engineering, The University of Tokyo, Tokyo, Japan, PRESTO, Japan Science and Technology Agency, Kawaguchi, Saitama, Japan

Wataru Miura

Affiliation Interdisciplinary Graduate School of Science and Engineering, Tokyo Institute of Technology, Yokohama, Kanagawa, Japan

Hideki Takayasu

Affiliations Interdisciplinary Graduate School of Science and Engineering, Tokyo Institute of Technology, Yokohama, Kanagawa, Japan, Sony Computer Science Laboratories, Inc., Shinagawa, Tokyo, Japan, Meiji Institute for Advanced Study of Mathematical Sciences, Kawasaki, Kanagawa, Japan

Competing Interests

Hideki Takayasu is an employee of Sony CSL, Inc. There are no patents, products in development or marketed products to declare. This does not alter the authors’ adherence to all the PLOS ONE policies on sharing data and materials.

Author Contributions

MT and HT planned the research project. YS and WM contributed the empirical data analysis. KY and KS contributed the simulation results. MT, YS, KY and KS wrote the manuscript.