YOSHIDA Hiroaki


Position

Professor

Affiliation

Faculty of Core Research Natural Science Division

Graduate School of Humanities and Sciences, Education Organization, Doctral Program Advanced Sciences

Graduate School of Humanities and Sciences, Education Organization, Master's Program Advanced Sciences

Faculty of Science Information Sciences

Faculty

Information Sciences

Education Organization (Master's Program)

Computer Science

Education Organization (Doctoral Program)

Department of Computer Science

URL

写真a

Research Keywords 【 display / non-display

  • operator algebras, non-commutative probability theory, quantum information theory, random matrices

Research Pursuits 【 display / non-display

  • An integral representation of a quantum relative entropy by a quantum Fisher information was investigated. Using the equilibrium measure of the diffusion processes as the reference measure, we derived differential relations among the relative entropy, the relative Fisher information, and the Wasserstein distance. Especially, in the case of the free probability, we have given another proofs of the logarithmic Sobolev and the transportation cost inequalities by time integrations.
    Moreover, we have studied on the method of a noise reduction from the correlation matrices of large scale data as random matrices, and also developed the method of the estimation for the power of noise contained in 2-dimensional MA modeled time series.

Educational Pursuits 【 display / non-display

  • At the seminars for the graduate program, I have supervised three graduate students in the study on quantum stochastic processes and their applications. The results of their studies have been presented at the workshop and conferences, which gave some impact among the related researchers.
    The lectures for the undergraduate classes, I have tried to keep the communication with the students and taken care of their achievements well. Moreover, I have tried to make my lectures be clearer by giving some tutorial examples on computers.

Degree 【 display / non-display

  • Doctor of Engineering, 1988/12

Campus Career 【 display / non-display

  • Graduate School of Humanities and Sciences, Research Organization, the Core Section The Natural/Applied Sciences Division, Professor

  • Faculty of Core Research Natural Science Division, Professor

  • Graduate School of Humanities and Sciences, Education Organization, Doctral Program Advanced Sciences

  • Graduate School of Humanities and Sciences, Education Organization, Doctral Program Advanced Sciences

  • Graduate School of Humanities and Sciences, Education Organization, Master's Program Advanced Sciences

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Books 【 display / non-display

  • Turbo Pascal へのいざない

    共立出版1996.01, 吉田 裕亮, Textbook

Papers 【 display / non-display

  • DEFORMED GAUSSIAN OPERATORS ON WEIGHTED q-FOCK SPACES

    Journal of Stochastic Analysis, vol.1(4), 2020.12, Nobuhiro ASAI, Hiroaki YOSHIDA, Original, Research paper (scientific journal), Coauthor

  • Remarks on a Free Analogue of the Beta Prime Distribution

    Journal of Theoretical Probability, vol.Online First , 2019.06, Hiroaki Yoshida, Original, Research paper (scientific journal), Single Author

  • Poisson type operators on the Fock space of type B

    J. Math. Phys., vol.55(1)(p.011702 - ), 2019.01, Nobuhiro Asai, Hiroaki Yoshida, Original, Research paper (scientific journal), Coauthor

  • Fluctuations of Marchenko-Pastur limit of random matrices with dependent entries

    Statistics & Probability Letters, vol.127(August)(p.85 - 96), 2017.08, Ayako Hasegawa, Noriyoshi Sakuma, Hiroaki Yoshida, Original, Research paper (scientific journal), Single Author

  • A Dissipation of Relative Entropy by Diffusion Flows

    Entropy, vol.19(1)(p.9 - ), 2017.01, Hiroaki Yoshida, Original, Research paper (scientific journal), Single Author

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Published Article 【 display / non-display

  • A canonical random variable for the q-deformed moments-cumulants formula

    京都大学 数理解析研究所講究録, 2002, Hiroaki YOSHIDA, Introduction and explanation (bulletin of university, research institution)

  • Graphical representations of the $q$-creation and the $q$-annihilation operators and set partition statistics

    京都大学 数理解析研究所講究録, 2001, Hiroaki YOSHIDA, Introduction and explanation (bulletin of university, research institution)

  • On the $q$-deformed Poisson distribution

    京都大学 数理解析研究所講究録, 2000, Hiroaki YOSHIDA, Introduction and explanation (bulletin of university, research institution)

  • An application of the free convolution

    京都大学 数理解析研究所講究録, 1999, Hiroaki YOSHIDA, Introduction and explanation (bulletin of university, research institution)

  • 振幅と周期が時間とともに変化する時系列データの ニューラルネットワークによる予測

    J. Chem. Soft.(日本化学ソフトウェア学会誌), 1998, 小野寺光永, 長嶋雲兵, 吉田裕亮, 青山智夫, 細矢治夫, Coauthor, Introduction and explanation (scientific journal)

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Review Papers 【 display / non-display

  • 科学研究費補助金 基盤研究(C)報告書 課題番号 14540201

    2005, 吉田 裕亮, Public Grants-in-Aid for Scientific Research Report

  • Non-Commutativity, Infinite-Dimensionality and Probability at the Crossroads

    Remarks on the $s$-free convolution, World Scientific, 2002, Hioraki YOSHIDA, H. Hora, N. Obata

  • 書評 "The Semicircle Law, Free Random Variables and Entropy (by F. Hiai and D.Petz)"

    日本数学会, 2001, 吉田 裕亮, Bibliographical Information, Individual

Presentations 【 display / non-display

  • An application of the 2nd order asymptotic behavior of random matrices to data analysis

    Hiroaki YOSHIDA, Domestic, 2020.10, Random Matrices, Free Probability, and Machine Learning, Zoom online, Invited, Main Speaker

  • The free beta prime distribution and related free analogues

    Hiroaki Yoshida, International, 2019.08, Interactions between commutative and non-commutative probability, Kyoto (Japan), The JSPS Program of Bilateral Joint Seminars (JP--FR) , Invited, Main Speaker

  • The free analogue of the beta prime distribution and its properties

    Hiroaki Yoshida, Domestic, 2018.11, Non-commutative probability and related fields , Sapporo(Japan), 北海道大学・理学研究院, Invited, Main Speaker

  • 自由確率論における Fokker-Planck 方程式とエントロピー消散

    Hiroaki Yoshida, Domestic, 2018.09, 第57回実函数論・函数解析学合同シンポジウム, TOkyo(Japan), 日本数学会・関数解析分科会, Invited, Main Speaker

  • ランダム行列の2次漸近挙動と組合せ論

    HIroaki Yoshida, Domestic, 2017.03, Tokyo (Japan), Invited, Main Speaker

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