Division of Mathematical Sciences

Taichi Haruna

  (春名 太一)

Profile Information

Affiliation
Professor, Department of Information and Mathematical Sciences, Division of Mathematical Sciences, School of Arts and Sciences, Tokyo Woman's Ch University
Degree
修士(理学)(神戸大学)
博士(理学)(神戸大学)

J-GLOBAL ID
200901061832995433
researchmap Member ID
6000011019

External link

Research Interests

 1

Papers

 59
  • Taichi Haruna, Tomohiro Shirakawa
    Physical Review E, 108(2), Aug 7, 2023  Peer-reviewed
  • Taichi Haruna
    Chaos, 33 043115, Apr, 2023  Peer-reviewedInvited
  • Taichi Haruna, Kohei Nakajima
    Artificial Life and Robotics, 28 15-20, Sep 4, 2022  Peer-reviewed
    Abstract We propose a class of generalized multiplicative stochastic processes obtained by introducing an endo-perspective into one-dimensional maps with additive noise. We define an internal state for the noisy dynamics of a given one-dimensional map and study its statistical behavior. We found intermittency characterized by two power-laws in the dynamics of the internal state for the logistic map and the BZ map with noise which exhibit different noise-induced phenomena, namely, noise-induced chaos and noise-induced order, respectively. We show that the power-laws can be explained in a unified way from the theory of generalized multiplicative stochastic processes.
  • Yukio-Pegio Gunji, Taichi Haruna
    Cognitive Computation, 14(4) 1328-1349, Apr 20, 2022  Peer-reviewed
    Abstract Human decision-making is relevant for concept formation and cognitive illusions. Cognitive illusions can be explained by quantum probability, while the reason for introducing quantum mechanics is based on ad hoc bounded rationality (BR). Concept formation can be explained in a set-theoretic way, although such explanations have not been extended to cognitive illusions. We naturally expand the idea of BR to incomplete BR and introduce the key notion of nonlocality in cognition without any attempts on quantum theory. We define incomplete bounded rationality and nonlocality as a binary relation, construct a lattice from the relation by using a rough-set technique, and define probability in concept formation. By using probability defined in concept formation, we describe various cognitive illusions, such as the guppy effect, conjunction fallacy, order effect, and so on. It implies that cognitive illusions can be explained by changes in the probability space relevant to concept formation.
  • Taichi Haruna, Yukio-Pegio Gunji
    Scientific Reports, 10(1) 22351, Dec 18, 2020  Peer-reviewed
    Abstract We propose a growing network model that can generate dense scale-free networks with an almost neutral degree−degree correlation and a negative scaling of local clustering coefficient. The model is obtained by modifying an existing model in the literature that can also generate dense scale-free networks but with a different higher-order network structure. The modification is mediated by category theory. Category theory can identify a duality structure hidden in the previous model. The proposed model is built so that the identified duality is preserved. This work is a novel application of category theory for designing a network model focusing on a universal algebraic structure.

Misc.

 4

Books and Other Publications

 1
  • 圏論の歩き方委員会, 蓮尾一郎, 鈴木咲衣, 葉廣和夫, 長谷川真人, 勝股審也, 小嶋泉, 西郷甲矢人, 丸山善宏, 阿部弘樹, 中岡宏行, 土岡俊介, HARUNA TAICHI
    日本評論社, Sep, 2015

Presentations

 109

Teaching Experience

 12

Research Projects

 9