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TSUKADA Makoto  塚田 真

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… Alternative Names

塚田 真  ツカダ マコト

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Researcher Number 10120198
Affiliation (based on the past Project Information) *help 2012 – 2015: 東邦大学, 理学部, 教授
2009: 東邦大学, 理学部, 教授
2006 – 2007: 東邦大学, 理学部, 教授
1997 – 1998: 東邦大学, 理学部, 教授
1991 – 1994: 東邦大学, 理学部, 助教授
1987 – 1988: 東京理科大学, 理工学部, 講師
Review Section/Research Field
Except Principal Investigator
General mathematics (including Probability theory/Statistical mathematics) / Basic analysis / 解析学 / Algebra / Fundamental theory of informatics / Geometry
Keywords
Except Principal Investigator
ランダムウォーク / Segal algebra / quasi-topology / Hyers-Ulam stability / inequality / Banach algebra / BSE and BED / Fourier algebra / fixed point theorem / Ulam type stability … More / Jensen's inequality / エントロピー / 信号解析 / Entropy / 調和写像 / random walk / harmonic map / 代数系 / 語の問題 / 書換えシステム / モノイド / 群 / Brown運動 / 代数曲面 / 語の代数系 / クリーネ論理 / アルゴリズム / 一般化エントロピー / 一般化指数関数 / ベキ分布 / スケーリング則 / Tsallisエントロピー / 情報幾何 / 一般化相対エントロピー / 最尤法 / κエントロピー / q-Gauss分布 / skew information / q-Fisher情報量 / Tsallis エントロピー / 非加法性 / マルチフラクタル / Sharama-Mittal-Tanejaエントロピー / 誤差法則 / トレース不等式 / Fisher情報量 / クラメール・ラオの不等式 / エントロピー最大化原理 / 一般化Faddeevの公理系 / Bregmanダイバージェンス / Superstatistics / 複雑ネットワーク / 変分不等式 / Tsallis統計 / べき分布 / スケールフリー / q-積 / 非線形微分方程式 / commutative Banach algebra / convolution measure algebra / approximate identity / additive mapping / Chebyshev's inequality / Gelfand transform / Fourier algbera / Banach's fixed point theorem / Mazur-Ulam theorem / Hyers-Ulam-Aoki-Rassias stability / functional equation / Volterra type integral equation / binary operation / complete metric space / Lau algebra / topological semigroup / multipliers / fractional operation / inversion map / distributive law / Archimedean semigroup / linear isometry / Jensen type inequality / Archimedean group / differential equation / 情報理論 / 函数解析 / Fourier変換 / 観測理論 / 標本函数系 / 十分統計量 / エントロピ- / Fourier解析 / 標本函数係 / Gibbs状態 / Information theory / Functional analysis / Fourier transform / Measurement theory / Signal analysis / Sampling functions / Sufficiency of statistics / 確率数値解析 / 無限粒子系 / グラフ上のラプラシアン / スペクトル構造 / 重調和作用素 / operator代数 / グラフの上のラプラシアン / 碓率数値解析 / モンテカルロ解析 / 無縁Brown粒子系 / スペクトル / ラプラシアン / infinite particle system / stochastic numerical analysis / Laplacian on a graph / spectral structure / biharmonic operator / operator algebra / 結晶格子 / 推移確率 / 局所中心極限定理 / アルバネーゼ写像 / 調和写線 / アルバネーゼ写線 / フロッケ理論 / 熱核 / アルバネゼ写像 / crystal lattice / transition probability / central limit theorem / Albanese map / 函数解析学 / 接合積 / 相対相互エントロピー / 標本空間 / 光通信 / 遺伝子情報論 / 量子フラクタル次元 / 条件付期待値 / マルチンゲール / シミュレーティッド・アニーリング / ニューラル・ネット / エントロビー / εエントロピー / 標本展開 / ランダム信号 / 先通信 / シミュレーティッドアニーリング / ラベル付け問題 / Functional Analysis / Signal Analysis / Crossed Product / Relative and Mutual Entropy / Sampling Space / Optical Communication / Information Theory of Genes / Quantum Fractal Dimension / Conditional Expectation / Martingale / Simulated Anealing Less
  • Research Projects

    (9 results)
  • Research Products

    (32 results)
  • Co-Researchers

    (32 People)
  •  Classifications of commutative Banach algebras and Banach modules and its applications

    • Principal Investigator
      TAKAHASI Sin-ei
    • Project Period (FY)
      2013 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Toho University
  •  Classifications of commutative Banach algebras and Banach modules and its applications

    • Principal Investigator
      TAKAHASI Sin-ei
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Toho University
  •  Elucidation of information structure exhibiting power-law distribution in the mathematical framework of generalized entropies

    • Principal Investigator
      SUYARI Hiroki
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Fundamental theory of informatics
    • Research Institution
      Chiba University
  •  Bubbling phenomenons of harmonic maps and their compactification

    • Principal Investigator
      KOTANI Makoto
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      TOHOKU UNIVERSITY
      Toho University
  •  Asymptotic Analysis of Probability Laws and Path Behaviors for Markov Processes

    • Principal Investigator
      SHIMURA Michio
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Faculty of Science, Toho University
  •  確率測度の構造の解析的・代数的研究

    • Principal Investigator
      志村 道夫
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Toho University
  •  代数系の語の問題の組合せ論的研究

    • Principal Investigator
      KOBAYASHI Yuji
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Toho University
  •  information Theory under the Method of Functional Analysis

    • Principal Investigator
      UMEGAKI Hisaharu
    • Project Period (FY)
      1991 – 1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Meisei University
      Tokyo University of Science
  •  Functional Analytic Study for Mathematical Information Sciences

    • Principal Investigator
      UMEGAKI Hisaharu
    • Project Period (FY)
      1987 – 1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Science University of Tokyo

All 2016 2015 2014 2013 2012 2009 2008 2007 Other

All Journal Article Presentation Book

  • [Book] Proceedings of Symposium on Applied Functional Analysis : Information Sciences and Related Fields2007

    • Author(s)
      M.Murofushi, W.Takahashi, M.Tsukada
    • Publisher
      Yokohama Publishers(印刷中)
    • Data Source
      KAKENHI-PROJECT-18300003
  • [Book] Applied Functional Analysis Information Sciences and Related Fields2007

    • Author(s)
      T.Murofushi, W.Takahashi & M.Tsukada
    • Total Pages
      301
    • Publisher
      Yokohama Publishers
    • Data Source
      KAKENHI-PROJECT-18300003
  • [Journal Article] Classification of continuous fractional operations on the real and complex fields2015

    • Author(s)
      Sin-Ei Takahasi, Makoto Tsukada and Yuji Kobayashi
    • Journal Title

      Tokyo Journal of Mathematics

      Volume: 38 Pages: 369-380

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25400120
  • [Journal Article] Commutative semigroup operations on R2 compatible with the ordinary additive operation2015

    • Author(s)
      Seiji Anbe, Sin-Ei Takahasi, Makoto Tsukada and Takeshi Miura
    • Journal Title

      Linear and Nonlinear Analysis

      Volume: 1 Pages: 89-93

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-25400120
  • [Journal Article] Continuous semigroup structures on R, cancellative semigroups and bands2015

    • Author(s)
      Yuji Kobayashi, Sin-Ei Takahasi and Makoto Tsukada
    • Journal Title

      Semigroup Forum

      Volume: 90 Pages: 518-531

    • DOI

      10.1007/s00233-014-9624-x

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25400120
  • [Journal Article] Continuous bands on a real interval2015

    • Author(s)
      Yuji Kobayashi, Sin-Ei Takahasi and Makoto Tsukada
    • Journal Title

      RIMS Koyuroku

      Volume: 1964 Pages: 172-175

    • Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-25400120
  • [Journal Article] Ulam type stability problems for alternative homomorphisms2014

    • Author(s)
      S-E. Takahasi, M. Tsukada, T. Miura, H. Takagi and K. Tanahashi
    • Journal Title

      Journal of Inequalities and Applications

      Volume: 2014 Pages: 1-13

    • DOI

      10.1186/1029-242x-2014-228

    • NAID

      120006650875

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-23540193, KAKENHI-PROJECT-25400120
  • [Journal Article] Continuous Semigroup Strucures on R2014

    • Author(s)
      Yuji Kobayashi, Sin-Ei Takahasi and Makoto Tsukada
    • Journal Title

      RIMS Koyuroku

      Volume: 1915 Pages: 11-15

    • Open Access
    • Data Source
      KAKENHI-PROJECT-25400120
  • [Journal Article] Ulam type stability of a generalized additive mapping and concrete examples2013

    • Author(s)
      Hiroyoshi Oda, Makoto Tsukada, Takeshi Miura, Yuji Kobayashi and Sin-Ei Takahasi
    • Journal Title

      International Journal of Mathematics and Mathematical Sciences

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540168
  • [Journal Article] The Ulam type stability of a generalized additive mapping and concrete examples2013

    • Author(s)
      Hiroyoshi Oda, Makoto Tsukada, Takeshi Miura, Yuji Kobayashi and Sin-Ei Takahasi
    • Journal Title

      International Journal of Mathematics and Mathematical Sciences

      Volume: Art. ID 109754 Pages: 1-7

    • DOI

      10.1155/2013/109754

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400120
  • [Journal Article] 凸集合とエントロピー2009

    • Author(s)
      塚田真
    • Journal Title

      数理解析研究所研究集会講究録非加法の数理と情報:非加法性と凸解析 1630

      Pages: 89-95

    • Data Source
      KAKENHI-PROJECT-18300003
  • [Journal Article] 一般化Shannon加法性から導かれるα-グイバージェンスとBregmanダイバージェンス2009

    • Author(s)
      須鎗弘樹, 塚田真
    • Journal Title

      第32回情報理論とその応用シンボジウム予稿集 32

      Pages: 129-134

    • Data Source
      KAKENHI-PROJECT-18300003
  • [Journal Article] Tsallis differential entropy and divergences derived from the generalized Shannon-Khinchin axioms2009

    • Author(s)
      H. Suyari, M. Tsukada
    • Journal Title

      Proc.2009 IEEE Int.Symp.on Inf.Theory (2009IEEE-ISIT) vol. 2009

      Pages: 149-153

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18300003
  • [Journal Article] Tsallis differential entropy and divergences derived from the generalized Shannon-Khinchin axioms2009

    • Author(s)
      H.Suyari, M.Tsukada
    • Journal Title

      Proceedings of 2009 IEEE International Symposium on Information Theory(2009IEEE-ISIT) 2009

      Pages: 149-153

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18300003
  • [Journal Article] The maxium entropy principle for generalized entropies2008

    • Author(s)
      M.Tsukada
    • Journal Title

      Quantum Bio-Informatics From Quantum Information to Bio-Informatics

      Pages: 427-439

    • Data Source
      KAKENHI-PROJECT-18300003
  • [Journal Article] The Maximum Entropy Principles for Generalized Entropies2008

    • Author(s)
      M. Tsukada
    • Journal Title

      Quantum Bio-Informatics World Scientific

      Pages: 427-439

    • Data Source
      KAKENHI-PROJECT-18300003
  • [Journal Article] The maximal entropy principle as a convex programming problem and related inequalities2007

    • Author(s)
      M.Tsukada, H.Suyari, M.Kato
    • Journal Title

      Proceedings of the Forth International Conference on Nonlinear Analysis and Convex Analysis 4

      Pages: 643-655

    • Data Source
      KAKENHI-PROJECT-18300003
  • [Journal Article] On the probability distribution maximizing generalized entropies2007

    • Author(s)
      M.Tsukada, H.Suyari, M.Kato
    • Journal Title

      Proceedings of Symposium on Applied Functional Analysis : Information Sciences and Related Fields 2007(印刷中)

    • Data Source
      KAKENHI-PROJECT-18300003
  • [Journal Article] The maximum entropy principle as a convex programming problem and related inequalities2007

    • Author(s)
      M.Tsukada, H.Suyari & M.Kato
    • Journal Title

      Nonlinear Analysis and Convex Analysis

      Pages: 643-655

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18300003
  • [Journal Article] On the probabiity distribution maximizing generalized entropies2007

    • Author(s)
      M.Tsukada, H.Suyari & M.Kato
    • Journal Title

      Applied Functional Analysis, Information Sciences and Related Fields

      Pages: 99-111

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18300003
  • [Presentation] 複素数体上の連続な分数型演算の完全分類について2016

    • Author(s)
      高橋眞映、小林ゆう治、塚田 真
    • Organizer
      日本数学会 2016 年度年会
    • Place of Presentation
      筑波大学 (茨城県つくば市)
    • Year and Date
      2016-03-18
    • Data Source
      KAKENHI-PROJECT-25400120
  • [Presentation] Python と数学2016

    • Author(s)
      塚田 真
    • Organizer
      第 25 回信州数学セミナー
    • Place of Presentation
      信州大学理学部 (長野県松本市)
    • Year and Date
      2016-03-11
    • Data Source
      KAKENHI-PROJECT-25400120
  • [Presentation] 閉凸集合への距離射影とエントロピー2015

    • Author(s)
      塚田 真
    • Organizer
      第 24 回信州数学セミナー
    • Place of Presentation
      信州大学理学部 (長野県松本市)
    • Year and Date
      2015-12-06
    • Data Source
      KAKENHI-PROJECT-25400120
  • [Presentation] Continuous bands on R2015

    • Author(s)
      小林ゆう治,高橋眞映,塚田 真
    • Organizer
      「代数系・論理・言語と計算機科学の新たな接点」研究集会
    • Place of Presentation
      京都大学数理解析研究所 (京都府・京都市)
    • Year and Date
      2015-02-18
    • Data Source
      KAKENHI-PROJECT-25400120
  • [Presentation] 実数空間 R 上の順序位相半群構造について2014

    • Author(s)
      高橋眞映、小林ゆう治、中筋康夫、塚田 真
    • Organizer
      日本数学会2014年度秋季総合分科会
    • Place of Presentation
      広島大学東広島キャンパス (広島県・東広島市)
    • Year and Date
      2014-09-26
    • Data Source
      KAKENHI-PROJECT-25400120
  • [Presentation] On generalized additive mappings and the Ulam type stability2012

    • Author(s)
      塚田真
    • Organizer
      The Third Asian Conference on Nonlinear Analysis and Optimization (招待講演)
    • Place of Presentation
      くにびきメッセ(島根県立産業交流会館)(松江市)
    • Year and Date
      2012-09-04
    • Data Source
      KAKENHI-PROJECT-22540168
  • [Presentation] 一船化Shannon加法性から導かれるα-ダイバージェンスとBregmanダイバージェンス2009

    • Author(s)
      須鎗弘樹, 塚田真
    • Organizer
      第32回情報理論とその応用シンポジウム
    • Place of Presentation
      湯田温泉ホテルかめ福(山口市)
    • Year and Date
      2009-12-02
    • Data Source
      KAKENHI-PROJECT-18300003
  • [Presentation] Tsallis differential entropy and divergences derived from the generalized Shannon-Khinchin axioms2009

    • Author(s)
      H. Suyari, M. Tsukada
    • Organizer
      2009 IEEE Int. Symp. on Inf. Theory (ISIT2009)
    • Place of Presentation
      ソウル (韓国)
    • Year and Date
      2009-06-29
    • Data Source
      KAKENHI-PROJECT-18300003
  • [Presentation] Tsallis differential entropy and divergences derived from the generalized Shannon-Khinchin axioms2009

    • Author(s)
      H.Suyari, M.Tsukada
    • Organizer
      2009IEEE International Symposium on Information Theory
    • Place of Presentation
      ソウル(韓国)
    • Year and Date
      2009-06-29
    • Data Source
      KAKENHI-PROJECT-18300003
  • [Presentation] On generalized additive mappings and the Ulam type stability

    • Author(s)
      H. Oda, M. Tsukada, T. Miura, Y. Kobayashi and S.-E. Takahasi
    • Organizer
      The Fourth International Symposium on BANACH and FUNCTION SPACES 2012
    • Place of Presentation
      くにびきメッセ (島根県立産業交流会館) (松江市)
    • Invited
    • Data Source
      KAKENHI-PROJECT-22540168
  • [Presentation] Continuous semigroup structures on the real numbers

    • Author(s)
      小林ゆう治,高橋眞映,塚田真
    • Organizer
      「計算機科学における論理・代数・言語」研究集会
    • Place of Presentation
      京都大学数理解析研究所 (京都府)
    • Data Source
      KAKENHI-PROJECT-25400120
  • [Presentation] Convergence of σ-fields, convex sets and operator algebras

    • Author(s)
      Makoto Tsukada
    • Organizer
      The International Conference on Nonlinear Analysis and Optimization (ICNAO2013)
    • Place of Presentation
      中山大学 (台湾、高雄市)
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400120
  • 1.  SHIMURA Michio (90015868)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 2.  KOTANI Motoko (50230024)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 3.  KOBAYASHI Yuji (70035343)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 9 results
  • 4.  UESAKA Yoshinori (40019782)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 5.  WATANABE Noboru (70191781)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 6.  近藤 道朗 (40211916)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 7.  ABE Sumiyoshi (70184215)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 8.  TAKAHASI Sin-ei (50007762)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 13 results
  • 9.  HATORI Osamu (70156363)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 10.  UMEGAKI Hisaharu (00015992)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 11.  OHGUCHI Takeshi (60168888)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 12.  梅津 裕美子 (70185065)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  佐藤 元 (00162462)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 14.  SUYARI Hiroki (70246685)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 10 results
  • 15.  WADA Tatsuaki (00240549)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  YANAGI Kenjiro (90108267)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  FURUICHI Shigeru (50299327)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  OHARA Atsumi (90221168)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  MIURA Takeshi (90333989)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 3 results
  • 20.  TAKAGI Hiroyuki (20206725)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 1 results
  • 21.  TANEMURA Hideki (40217162)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  NISHIOKA Kunio (60101078)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  NAKAGAWA Yasuhiro (90250662)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  IZEKI Hiroyasu (90244409)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  SUNADA Toshikazu (20022741)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  MIYAOKA Reiko (70108182)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  OHNITA Yoshihiro (90183764)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  AKASHI Shigeo (30202518)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  OHYA Masanori (90112896)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  永倉 安次郎 (60112900)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  FIEMMING Topsoe
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  CONSTANTINO Tsallis
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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