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Sekigawa Hiroshi  関川 浩

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SEKIGAWA Hiroshi  関川 浩

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Researcher Number 00396178
Other IDs
Affiliation (Current) 2025: 東京理科大学, 理学部第一部応用数学科, 教授
Affiliation (based on the past Project Information) *help 2017 – 2023: 東京理科大学, 理学部第一部応用数学科, 教授
2016: 東京理科大学, 理学部第一部数理情報科学科, 教授
2013 – 2015: 東京理科大学, 理学部, 教授
2010 – 2012: 東海大学, 理学部, 准教授
2009: NTT Communication Science Laboratories, 協創情報研究部, 主任研究員
2008: 日本電信電話株式会社NTTコミュニケーション科学基礎研究所, 人間情報研究部, 主任研究員
Review Section/Research Field
Principal Investigator
Basic Section 60010:Theory of informatics-related / Fundamental theory of informatics / Theory of informatics
Except Principal Investigator
Theory of informatics / Fundamental theory of informatics
Keywords
Principal Investigator
数値数式融合計算 / 多項式 / 安定化理論 / 誤差 / 代数方程式 / 摂動 / 近似 / 安定性 / グレブナ基底 / 凸包構成 … More / 根 / 零点 / 連立代数方程式 / 方程式 / 乱択アルゴリズム / 計算幾何 / 計算機代数 / ボロノイ図 / 凸結合 / メビウス変換 / 多項式の合成 / 近似アルゴリズム / 一般逆行列 / 有理標準形 / 最短ベクトル / 行列 / 整除性 … More
Except Principal Investigator
格子暗号 / 量子アルゴリズム / 量子コンピュータ / LWE暗号 / 量子ニューラルネットワーク / 解読 / 耐量子暗号 / 深層学習 / ニューラルネットワーク / 量子人工知能 / 対称群 / 格子問題 / 隠れ部分群問題 / フーリエ変換 / 表現論 / 非可換群 / ポスト量子暗号 / 量子暗号 / 量子フーリエ変換 / Cosine-Sine分解 / 多準位量子ゲート / 複素アダマール行列 / Mutually Unbiased Basis / 量子回路の等価性判定 / 離散対数問題 / 量子プッシュダウンオートマトン / SATアルゴリズム / Steane符号 / 隣接互換グラフ / Linear Nearest Neighbor / パターンマッチング / 行列分解 / 量子回路設計 / 量子計算理論 Less
  • Research Projects

    (8 results)
  • Research Products

    (125 results)
  • Co-Researchers

    (6 People)
  •  On the Study of Symbolic-Numeric Computation Using Randomized and/or Approximation AlgorithmsPrincipal Investigator

    • Principal Investigator
      Sekigawa Hiroshi
    • Project Period (FY)
      2021 – 2023
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 60010:Theory of informatics-related
    • Research Institution
      Tokyo University of Science
  •  Research on the influence of perturbation to algebraic problems and coping methodology for themPrincipal Investigator

    • Principal Investigator
      Sekigawa Hirosi
    • Project Period (FY)
      2018 – 2020
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 60010:Theory of informatics-related
    • Research Institution
      Tokyo University of Science
  •  Application of Quantum Algorithms for Lattice Problems to Post-Quantum Cryptography and Quantum Artificial Intelligence

    • Principal Investigator
      Kawano Yasuhito
    • Project Period (FY)
      2017 – 2019
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Theory of informatics
    • Research Institution
      NTT Communication Science Laboratories
  •  Study of the Influence of Perturbations on Algebraic ProblemsPrincipal Investigator

    • Principal Investigator
      Sekigawa Hiroshi
    • Project Period (FY)
      2015 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Theory of informatics
    • Research Institution
      Tokyo University of Science
  •  Quantum Fourier Transform over Non-Abelian Groups and Its Application

    • Principal Investigator
      Kawano Yasuhito
    • Project Period (FY)
      2013 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Theory of informatics
    • Research Institution
      NTT Communication Science Laboratories
  •  On the Study of Symbolic-Numeric Computation for Algebraic Problems with Empirical DataPrincipal Investigator

    • Principal Investigator
      SEKIGAWA HIROSHI
    • Project Period (FY)
      2012 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Fundamental theory of informatics
    • Research Institution
      Tokyo University of Science
      Tokai University
  •  On the Study of Highly Reliable Symbolic-Numeric Computation for Algebraic Problems with Empirical DataPrincipal Investigator

    • Principal Investigator
      SEKIGAWA Hiroshi
    • Project Period (FY)
      2009 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Fundamental theory of informatics
    • Research Institution
      Tokai University
      NTT Communication Science Laboratories
  •  Quantum Circuit Design using Matrix Decomposition and its application

    • Principal Investigator
      Kawano Yasuhito
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Fundamental theory of informatics
    • Research Institution
      NTT Communication Science Laboratories

All 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 Other

All Journal Article Presentation Book Patent

  • [Book] 応用数理ハンドブック2013

    • Author(s)
      薩摩順吉、大石進一、杉原正顯、合原一幸、芦野隆一、畔上秀幸、一森哲男、大塚厚二、岡本久、白柳潔、杉原厚吉、杉山将、鈴木貴、関川浩、田辺誠、田端正久、土谷隆、中村憲、奈良高明、成田清正、萩谷昌己、萩原一郎、引原隆士、藤井裕矩、松木平淳太、宮本裕一郎 他
    • Total Pages
      685
    • Publisher
      朝倉書店
    • Data Source
      KAKENHI-PROJECT-24500022
  • [Journal Article] 合成で表現可能な最近接多項式を求める近似アルゴリズム2024

    • Author(s)
      関川浩
    • Journal Title

      数式処理

      Volume: 30 Pages: 53-56

    • Data Source
      KAKENHI-PROJECT-21K11760
  • [Journal Article] 合成で表現可能な最近接多項式2023

    • Author(s)
      関川浩
    • Journal Title

      数式処理

      Volume: 29 Pages: 37-40

    • Data Source
      KAKENHI-PROJECT-21K11760
  • [Journal Article] マンハッタン距離ボロノイ図からの母点探索2023

    • Author(s)
      山中悠輔、武田渉、関川浩
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 2255 Pages: 174-183

    • Open Access
    • Data Source
      KAKENHI-PROJECT-21K11760
  • [Journal Article] An Approximation Algorithm for the Nearest Decomposable Polynomial in the Hamming Distance2023

    • Author(s)
      Hiroshi Sekigawa
    • Journal Title

      ACM Communications in Computer Algebra

      Volume: 57 Issue: 3 Pages: 119-122

    • DOI

      10.1145/3637529.3637532

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21K11760
  • [Journal Article] Robustな疎多項式補間アルゴリズム2021

    • Author(s)
      近藤和希、関川浩
    • Journal Title

      数式処理

      Volume: 27 Pages: 35-38

    • Data Source
      KAKENHI-PROJECT-18K11172
  • [Journal Article] メビウス変換の凸結合2021

    • Author(s)
      若菜魁、関川浩
    • Journal Title

      数式処理

      Volume: 27 Pages: 45-48

    • Data Source
      KAKENHI-PROJECT-21K11760
  • [Journal Article] On parametric border bases2020

    • Author(s)
      Yosuke Sato, Hiroshi Sekigawa, Ryoya Fukasaku, Katsusuke Nabeshima
    • Journal Title

      Lecture Notes in Computer Science

      Volume: 11989 Pages: 10-15

    • DOI

      10.1007/978-3-030-43120-4_2

    • ISBN
      9783030431198, 9783030431204
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K03214, KAKENHI-PROJECT-18K03426, KAKENHI-PROJECT-18K11172, KAKENHI-PROJECT-17K12642
  • [Journal Article] 疎多項式補間に関するrobustな計算手法及びアルゴリズム2020

    • Author(s)
      近藤和希、関川浩
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 2159 Pages: 143-148

    • NAID

      40022335059

    • Open Access
    • Data Source
      KAKENHI-PROJECT-18K11172
  • [Journal Article] パラメトリックな連立代数方程式の根の連続性について II2019

    • Author(s)
      佐藤洋祐、深作亮也、関川浩
    • Journal Title

      数式処理

      Volume: 25 Pages: 87-89

    • Data Source
      KAKENHI-PROJECT-18K11172
  • [Journal Article] 複数の点での値が指定された場合の最近接多項式2019

    • Author(s)
      若月雄麻、関川浩
    • Journal Title

      数式処理

      Volume: 25 Pages: 67-70

    • Data Source
      KAKENHI-PROJECT-18K11172
  • [Journal Article] 指定された領域に零点を持つ最近接多項式について2019

    • Author(s)
      若月雄麻、関川浩
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 2138 Pages: 81-86

    • NAID

      120006888175

    • Open Access
    • Data Source
      KAKENHI-PROJECT-18K11172
  • [Journal Article] Robustな疎多項式補間2019

    • Author(s)
      近藤和希、関川浩
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 2138 Pages: 73-80

    • NAID

      120006888174

    • Open Access
    • Data Source
      KAKENHI-PROJECT-18K11172
  • [Journal Article] 中国剰余定理を用いたsparse interpolation2019

    • Author(s)
      近藤和希、関川浩
    • Journal Title

      数式処理

      Volume: 25 Pages: 22-25

    • Data Source
      KAKENHI-PROJECT-18K11172
  • [Journal Article] Robust computation methods for sparse interpolation of multivariate polynomials2019

    • Author(s)
      Kondo Kazuki、Sekigawa Hiroshi
    • Journal Title

      ACM Communications in Computer Algebra

      Volume: 53 Issue: 3 Pages: 130-133

    • DOI

      10.1145/3377006.3377018

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K11172
  • [Journal Article] Robust algorithms for sparse interpolation of multivariate polynomials2018

    • Author(s)
      Dai Numahata, Hiroshi Sekigawa
    • Journal Title

      ACM Communications in Computer Algebra

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K00025
  • [Journal Article] On Continuity of the Roots of a Parametric Zero Dimensional Multivariate Polynomial Ideal2018

    • Author(s)
      Sato Yosuke、Fukasaku Ryoya、Sekigawa Hiroshi
    • Journal Title

      Proceedings of the 2018 ACM on International Symposium on Symbolic and Algebraic Computation

      Volume: 2018 Pages: 359-365

    • DOI

      10.1145/3208976.3209004

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-18K03426, KAKENHI-PROJECT-18K11172, KAKENHI-PROJECT-17K12642
  • [Journal Article] 2根を指定した場合の最近接多項式2017

    • Author(s)
      櫻井優太、関川浩
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 印刷中

    • Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-15K00025
  • [Journal Article] An Algorithm for Symbolic-Numeric Sparse Interpolation of Multivariate Polynomials Whose Degree Bounds are Unknown2017

    • Author(s)
      Dai Numahata, Hiroshi Sekigawa
    • Journal Title

      ACM Communications in Computer Algebra

      Volume: 印刷中

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-15K00025
  • [Journal Article] The nearest polynomial to multiple given polynomials with a given zero in the real case2017

    • Author(s)
      Hiroshi Sekigawa
    • Journal Title

      Theoretical Computer Science

      Volume: 681 Pages: 167-175

    • DOI

      10.1016/j.tcs.2017.03.033

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K00025
  • [Journal Article] Quantum Fourier transform over symmetric groups --- improved result2016

    • Author(s)
      Yasuhito Kawano and Hiroshi Sekigawa
    • Journal Title

      Journal of Symbolic Computation

      Volume: 75 Pages: 219-243

    • DOI

      10.1016/j.jsc.2015.11.016

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25330021
  • [Journal Article] 複数の多項式に対する最近多項式2015

    • Author(s)
      関川浩
    • Journal Title

      数式処理

      Volume: 2

    • Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-24500022
  • [Journal Article] The Nearest Polynomial to Multiple Given Polynomials with a Given Zero2014

    • Author(s)
      Hiroshi Sekigawa
    • Journal Title

      Proc. 2014 Symposium on Symbolic-Numeric Computation

      Volume: 5 Pages: 144-145

    • DOI

      10.1145/2631948.2631975

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-24500022
  • [Journal Article] Quantum Fourier Transform over Symmetric Groups --- Improved Result2014

    • Author(s)
      Yasuhito Kawano and Hiroshi Sekigawa
    • Journal Title

      ACM Communications in Computer Algebra

      Volume: 48 (3) Issue: 3/4 Pages: 127-129

    • DOI

      10.1145/2733693.2733708

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25330021
  • [Journal Article] A Sequence of Nearest Polynomials with Given Factors2014

    • Author(s)
      Hiroshi Sekigawa
    • Journal Title

      Lecture Notes in Computer Science

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24500022
  • [Journal Article] 連立代数方程式の解の個数を保つ摂動限界2013

    • Author(s)
      関川浩、白柳潔
    • Journal Title

      数式処理

      Volume: 19 Pages: 37-40

    • NAID

      10031169524

    • Data Source
      KAKENHI-PROJECT-24500022
  • [Journal Article] Maximal Perturbation for Preserving the Number of Solutions of a Polynomial System2012

    • Author(s)
      Hiroshi Sekigawa, Kiyoshi Shirayanagi
    • Journal Title

      ACM Communications in Computer Algebra

      Volume: Vol. 46 Pages: 120-121

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24500022
  • [Journal Article] Computing the Nearest Polynomial with a Zero in a Given Domain by using Piecewise Rational Functions2011

    • Author(s)
      Hiroshi Sekigawa
    • Journal Title

      Journal of Symbolic Computation

      Volume: 46 Issue: 12 Pages: 1318-1335

    • DOI

      10.1016/j.jsc.2011.08.012

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21500026
  • [Journal Article] Isolated Real Zero of a Real Polynomial System under Perturbation2011

    • Author(s)
      Hiroshi Sekigawa, Kiyoshi Shirayanagi
    • Journal Title

      ACM Communications in Computer Algebra

      Volume: 45 Pages: 131-132

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21500026
  • [Journal Article] Computing the Nearest Polynomial with a Zero in a Given Domain by using Piecewise Rational Functions2011

    • Author(s)
      H. Sekigawa
    • Journal Title

      Journal of Symbolic Computation

      Volume: Vol.46 Issue 12 Pages: 1318-1335

    • Data Source
      KAKENHI-PROJECT-21500026
  • [Journal Article] Isolated Real Zero of a Real Polynomial System under Perturbation2011

    • Author(s)
      H. Sekigawa and K. Shirayanagi
    • Journal Title

      ACM Communications in Computer Algebra

      Volume: Vol.45, No.2 Pages: 131-132

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21500026
  • [Journal Article] Solvability of Bivariate Polynomial Systems under Perturbation2010

    • Author(s)
      Hiroshi Sekigawa, Kiyoshi Shirayanagi
    • Journal Title

      ACM Communications in Computer Algebra

      Volume: 44 Pages: 147-148

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21500026
  • [Journal Article] Solvability of Bivariate Polynomial Systems under Perturbation2010

    • Author(s)
      H. Sekigawa and K. Shirayanagi
    • Journal Title

      ACM Communications in Computer Algebra

      Volume: Vol.44, No.3 Pages: 147-148

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21500026
  • [Journal Article] Reducing Exact Computations to Obtain Exact Results Based on Stabilization Techniques2009

    • Author(s)
      K. Shirayanagi and H. Sekigawa
    • Journal Title

      Proceedings of International Workshop on Symbolic-Numeric Computation 2009

      Pages: 191-197

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21500026
  • [Journal Article] A New Method of Reducing Exact Computations to Obtain Exact Results2009

    • Author(s)
      K. Shirayanagi and H. Sekigawa
    • Journal Title

      ACM Communications in Computer Algebra

      Volume: Vol.43, No.3 Pages: 102-104

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21500026
  • [Journal Article] Synthesis of quantum circuits for d-level systems by using Cosine-Sine decomposition2009

    • Author(s)
      Y.Nakajima, Y.Kawano, H.Sekigawa, M.Nakanishi, S.Yamashita, Y.Nakashima
    • Journal Title

      Quantum Information and Computation Vol.9,No.5&6

      Pages: 423-443

    • Data Source
      KAKENHI-PROJECT-20500024
  • [Journal Article] A Sequence of Nearest Polynomials with Given Factors2009

    • Author(s)
      Hiroshi Sekigawa
    • Journal Title

      Math-for-Industry Lecture Note Vol.22

      Pages: 187-190

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21500026
  • [Journal Article] A Sequence of Nearest Polynomials with Given Factors2009

    • Author(s)
      H. Sekigawa
    • Journal Title

      Math-for-Industry Lecture Note

      Volume: Vol.22 Pages: 187-190

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21500026
  • [Journal Article] Deciding Divisibility between Polynomials with Inexact Coefficients2009

    • Author(s)
      H. Nakayama and H. Sekigawa
    • Journal Title

      ACM Communications in Computer Algebra

      Volume: Vol.43, No.3 Pages: 91-94

    • NAID

      110007123964

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21500026
  • [Patent] 判定装置、計算装置、および学習システム2019

    • Inventor(s)
      河野泰人、関川浩
    • Industrial Property Rights Holder
      NTT, 東京理科大学
    • Industrial Property Rights Type
      特許
    • Industrial Property Number
      2019-047931
    • Filing Date
      2019
    • Data Source
      KAKENHI-PROJECT-17K00027
  • [Patent] TRANSFORMATION APPARATUS, DECISION APPARATUS, QUANTUM COMPUTATION APPARATUS AND QUANTUM MACHINE LEARNING SYSTEM2018

    • Inventor(s)
      Y. Kawano, H. Sekigawa
    • Industrial Property Rights Holder
      NTT
    • Industrial Property Rights Type
      特許
    • Filing Date
      2018
    • Overseas
    • Data Source
      KAKENHI-PROJECT-17K00027
  • [Patent] 特許権2017

    • Inventor(s)
      河野泰人, 関川浩
    • Industrial Property Rights Holder
      河野泰人, 関川浩
    • Industrial Property Rights Type
      特許
    • Industrial Property Number
      2017-205011
    • Filing Date
      2017
    • Data Source
      KAKENHI-PROJECT-17K00027
  • [Patent] 連立代数方程式の係数に対する許容誤差限界評価装置、方法、プログラム2010

    • Inventor(s)
      関川浩
    • Industrial Property Rights Holder
      日本電信電話株式会社
    • Industrial Property Number
      2010-059763
    • Filing Date
      2010-03-16
    • Data Source
      KAKENHI-PROJECT-21500026
  • [Patent] 最近多項式算出装置、方法及びプログラム2009

    • Inventor(s)
      関川浩
    • Industrial Property Rights Holder
      日本電信電話株式会社
    • Industrial Property Number
      2009-277454
    • Filing Date
      2009-12-07
    • Data Source
      KAKENHI-PROJECT-21500026
  • [Patent] 行列分解装置、行列分解方法及びプログラム2009

    • Inventor(s)
      河野泰人、関川浩
    • Industrial Property Rights Holder
      NTT
    • Industrial Property Number
      2009-243481
    • Filing Date
      2009-10-22
    • Data Source
      KAKENHI-PROJECT-20500024
  • [Patent] 最近多項式算出装置、方法びプログラム2009

    • Inventor(s)
      関川浩
    • Industrial Property Rights Holder
      日本電信電話株式会社
    • Industrial Property Number
      2009-277454
    • Filing Date
      2009-12-07
    • Data Source
      KAKENHI-PROJECT-21500026
  • [Patent] 行列分解装置,行列分解方法及びプログラム2009

    • Inventor(s)
      河野泰人, 関川浩
    • Industrial Property Rights Holder
      NTT
    • Industrial Property Number
      2009-024348
    • Filing Date
      2009-10-22
    • Data Source
      KAKENHI-PROJECT-20500024
  • [Presentation] 数値数式融合計算2024

    • Author(s)
      関川浩
    • Organizer
      日本数学会2024年度年会
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K11760
  • [Presentation] 二変数多項式の近似decompositionとその応用2024

    • Author(s)
      徳田陸成、武田渉、関川浩
    • Organizer
      Risa/Asir Conference 2024
    • Data Source
      KAKENHI-PROJECT-21K11760
  • [Presentation] 合成で表現可能な最近接多項式を求める近似アルゴリズム2023

    • Author(s)
      関川浩
    • Organizer
      第32回日本数式処理学会大会
    • Data Source
      KAKENHI-PROJECT-21K11760
  • [Presentation] 因数分解を利用した多変数多項式のdecomposition2023

    • Author(s)
      徳田陸成、武田渉、関川浩
    • Organizer
      RIMS 共同研究(公開型)Computer Algebra―Foundations and Applications
    • Data Source
      KAKENHI-PROJECT-21K11760
  • [Presentation] 多項式の合成による表現2023

    • Author(s)
      関川浩
    • Organizer
      Risa/Asir Conference 2023
    • Data Source
      KAKENHI-PROJECT-21K11760
  • [Presentation] An approximation algorithm for the nearest decomposable polynomial in the Hamming distance2023

    • Author(s)
      Hiroshi Sekigawa
    • Organizer
      48th International Symposium on Symbolic and Algebraic Computation (ISSAC2023)
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K11760
  • [Presentation] マンハッタン距離ボロノイ図からの母点探索2022

    • Author(s)
      山中悠輔、武田渉、関川浩
    • Organizer
      RIMS 共同研究(公開型)Computer Algebra―Foundations and Applications
    • Data Source
      KAKENHI-PROJECT-21K11760
  • [Presentation] マンハッタン距離ボロノイ図の母点探索2022

    • Author(s)
      山中悠輔、武田渉、関川浩
    • Organizer
      日本応用数理学会2022年度年会
    • Data Source
      KAKENHI-PROJECT-21K11760
  • [Presentation] 合成で表現可能な最近接多項式2022

    • Author(s)
      関川浩
    • Organizer
      第31回日本数式処理学会大会
    • Data Source
      KAKENHI-PROJECT-21K11760
  • [Presentation] 有限体上の多項式のdecomposition2022

    • Author(s)
      関川浩
    • Organizer
      Risa/Asir Conference 2022
    • Data Source
      KAKENHI-PROJECT-21K11760
  • [Presentation] The nearest function represented by a convex combination of given functions with constraints2021

    • Author(s)
      Hiroshi Sekigawa
    • Organizer
      26th Conference on Applications of Computer Algebra (ACA2021)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K11760
  • [Presentation] メビウス変換の凸結合2020

    • Author(s)
      若菜魁、関川浩
    • Organizer
      第29回日本数式処理学会大会
    • Data Source
      KAKENHI-PROJECT-18K11172
  • [Presentation] On Attacking the Next-Generation Public-Key Cryptography by Using LASOLV2020

    • Author(s)
      Yasuhito Kawano, Hiroshi Sekigawa
    • Organizer
      FQST 2020
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K00027
  • [Presentation] On Parametric Border Bases2019

    • Author(s)
      Yosuke Sato, Hiroshi Sekigawa, Ryoya Fukasaku, Katsusuke Nabeshima
    • Organizer
      Mathematical Aspects of Computer and Information Sciences 2019 (MACIS2019)
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K11172
  • [Presentation] パラメトリックな代数方程式の根の連続性とBorder Basisとの関係2019

    • Author(s)
      佐藤洋祐、関川浩、深作亮也、鍋島克輔
    • Organizer
      第28回日本数式処理学会大会
    • Data Source
      KAKENHI-PROJECT-18K11172
  • [Presentation] LASOLVを用いた次世代公開鍵暗号の攻撃方法について2019

    • Author(s)
      河野泰人、関川浩
    • Organizer
      量子情報技術研究会(QIT41)
    • Data Source
      KAKENHI-PROJECT-17K00027
  • [Presentation] パラメトリックな連立代数方程式の根の連続性とBorderBasisとの関係II2019

    • Author(s)
      佐藤洋祐、関川浩、深作亮也、鍋島克輔
    • Organizer
      日本数式処理学会2019年度基礎理論分科会&システム分科会合同研究会
    • Data Source
      KAKENHI-PROJECT-18K11172
  • [Presentation] Robustな疎多項式補間アルゴリズム2019

    • Author(s)
      近藤和希、関川浩
    • Organizer
      第28回日本数式処理学会大会
    • Data Source
      KAKENHI-PROJECT-18K11172
  • [Presentation] Computer Simulation of Quantum Algorithms for Lattice Problems2019

    • Author(s)
      Yasuhito Kawano, Hiroshi Sekigawa
    • Organizer
      Coherent Network Computing (CNC 2019)
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K00027
  • [Presentation] Robust computation methods for sparse interpolation of multivariate polynomials2019

    • Author(s)
      Kazuki Kondo, Hiroshi Sekigawa
    • Organizer
      44th International Symposium on Symbolic and Algebraic Computation (ISSAC2019)
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K11172
  • [Presentation] 疎多項式補間に関するrobustな計算手法及びアルゴリズム2019

    • Author(s)
      近藤和希、関川浩
    • Organizer
      RIMS共同研究(公開型)Computer Algebra―Theory and its Applications
    • Data Source
      KAKENHI-PROJECT-18K11172
  • [Presentation] 計算誤差を抑える疎多項式補間アルゴリズム2019

    • Author(s)
      近藤和希、関川浩
    • Organizer
      Risa/Asir Conference 2019
    • Data Source
      KAKENHI-PROJECT-18K11172
  • [Presentation] A canonical representation of continuity of the roots of a parametric zero dimensional multi-variate polynomial ideal2018

    • Author(s)
      Yosuke Sato, Ryoya Fukasaku and Hiroshi Sekigawa
    • Organizer
      24th Conference on Applications of Computer Algebra (ACA2018)
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K11172
  • [Presentation] パラメトリックな連立代数方程式の根の連続性について II2018

    • Author(s)
      佐藤洋祐、深作亮也、関川浩
    • Organizer
      第27回日本数式処理学会大会
    • Data Source
      KAKENHI-PROJECT-18K11172
  • [Presentation] 教師あり深層学習のための量子アルゴリズムについて2018

    • Author(s)
      河野 泰人, 関川浩
    • Organizer
      第39回量子情報技術研究会
    • Data Source
      KAKENHI-PROJECT-17K00027
  • [Presentation] Robustな疎多項式補間2018

    • Author(s)
      近藤和希、関川浩
    • Organizer
      RIMS共同研究(公開型)Computer Algebra―Theory and its Applications
    • Data Source
      KAKENHI-PROJECT-18K11172
  • [Presentation] 複数の点での値が指定された場合の最近接多項式2018

    • Author(s)
      若月雄麻、関川浩
    • Organizer
      第27回日本数式処理学会大会
    • Data Source
      KAKENHI-PROJECT-18K11172
  • [Presentation] On Continuity of the Roots of a Parametric Zero Dimensional Multivariate Polynomial Ideal2018

    • Author(s)
      Yosuke Sato, Ryoya Fukasaku and Hiroshi Sekigawa
    • Organizer
      43rd International Symposium on Symbolic and Algebraic Computation (ISSAC2018)
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K11172
  • [Presentation] 複数の点の値が指定された場合の最近接多項式2018

    • Author(s)
      若月雄麻、関川浩
    • Organizer
      Risa/Asir Conference 2018
    • Data Source
      KAKENHI-PROJECT-15K00025
  • [Presentation] パラメトリックな連立代数方程式の根の連続性について2018

    • Author(s)
      佐藤洋祐、深作亮也、関川浩
    • Organizer
      Risa/Asir Conference 2018
    • Data Source
      KAKENHI-PROJECT-15K00025
  • [Presentation] 中国剰余定理を用いた sparse interpolation2018

    • Author(s)
      近藤和希、関川浩
    • Organizer
      日本数式処理学会2018年度基礎理論分科会&システム分科会合同研究会
    • Data Source
      KAKENHI-PROJECT-18K11172
  • [Presentation] 指定された領域に零点を持つ最近接多項式について2018

    • Author(s)
      若月雄麻、関川浩
    • Organizer
      RIMS共同研究(公開型)Computer Algebra―Theory and its Applications
    • Data Source
      KAKENHI-PROJECT-18K11172
  • [Presentation] On continuity of the roots of a parametric zero dimensional multivariate polynomial ideal2017

    • Author(s)
      Yosuke Sato, Hiroshi Sekigawa
    • Organizer
      23rd Conference on Applications of Computer Algebra
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K00025
  • [Presentation] 複数の零点を指定した場合の最近接多項式2017

    • Author(s)
      朝田高行,関川浩
    • Organizer
      Risa/Asir Conference 2017
    • Place of Presentation
      金沢大学(石川県金沢市)
    • Year and Date
      2017-03-28
    • Data Source
      KAKENHI-PROJECT-15K00025
  • [Presentation] 複数の零点を指定した場合の最近接多項式~簡潔な距離表示について~2017

    • Author(s)
      若月雄麻、関川浩
    • Organizer
      RIMS共同研究(公開型)Computer Algebra―Theory and its Applications
    • Data Source
      KAKENHI-PROJECT-15K00025
  • [Presentation] 複数の零点を指定した場合の最近接多項式~2重根を持つ場合~2017

    • Author(s)
      北見宗士、関川浩
    • Organizer
      RIMS共同研究(公開型)Computer Algebra―Theory and its Applications
    • Data Source
      KAKENHI-PROJECT-15K00025
  • [Presentation] 格子暗号解読に向けた量子アルゴリズム研究の取り組みについて2017

    • Author(s)
      河野泰人, 関川浩
    • Organizer
      量子ICTフォーラム
    • Data Source
      KAKENHI-PROJECT-17K00027
  • [Presentation] Robust algorithms for sparse interpolation of multivariate polynomials2017

    • Author(s)
      Dai Numahata, Hiroshi Sekigawa
    • Organizer
      42nd International Symposium on Symbolic and Algebraic Computation
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K00025
  • [Presentation] 格子問題を解く量子アルゴリズムについて2017

    • Author(s)
      河野泰人, 関川浩
    • Organizer
      電子情報通信学会 第36回量子情報技術研究会(QIT36)
    • Data Source
      KAKENHI-PROJECT-17K00027
  • [Presentation] 格子暗号の安全性について2017

    • Author(s)
      河野泰人, 関川浩
    • Organizer
      電子情報通信学会 第37回量子情報技術研究会(QIT37)
    • Data Source
      KAKENHI-PROJECT-17K00027
  • [Presentation] Quantum Algorithm for Lattice Problems2016

    • Author(s)
      Yasuhito Kawano and Hiroshi Sekigawa
    • Organizer
      Conference on Quantum Information Processing(QIP)
    • Place of Presentation
      Banff Centre(カナダ)
    • Year and Date
      2016-01-11
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25330021
  • [Presentation] An Algorithm for Symbolic-Numeric Sparse Interpolation of Multivariate2016

    • Author(s)
      Dai Numahata, Hiroshi Sekigawa
    • Organizer
      41st International Symposium on Symbolic and Algebraic Computation
    • Place of Presentation
      ウォータールー(カナダ)
    • Year and Date
      2016-07-20
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K00025
  • [Presentation] Degree Estimate for Black-Box Multivariate Polynomials in Symbolic-Numeric Sparse Interpolation2016

    • Author(s)
      Dai Numahata, Hiroshi Sekigawa
    • Organizer
      Milestones in Computer Algebra
    • Place of Presentation
      ウォータールー(カナダ)
    • Year and Date
      2016-07-18
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K00025
  • [Presentation] 2根を指定した場合の最近接多項式2015

    • Author(s)
      櫻井優太、関川浩
    • Organizer
      京都大学数理解析研究所研究所「数式処理とその周辺分野の研究」
    • Place of Presentation
      京都大学(京都府京都市)
    • Year and Date
      2015-12-04
    • Data Source
      KAKENHI-PROJECT-15K00025
  • [Presentation] The Nearest Polynomial with Two or More Given Zeros2015

    • Author(s)
      Hiroshi Sekigawa
    • Organizer
      Third Workshop on Hybrid Methodologies for Symbolic-Numeric Computation
    • Place of Presentation
      China National Convention Center(北京、中国)
    • Year and Date
      2015-08-11
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K00025
  • [Presentation] 複数の多項式に対する最近多項式2014

    • Author(s)
      関川浩
    • Organizer
      第23回日本数式処理学会大会
    • Place of Presentation
      徳島大学(徳島県徳島市)
    • Year and Date
      2014-05-31
    • Data Source
      KAKENHI-PROJECT-24500022
  • [Presentation] Quantum Fourier Transform over Symmetric Groups --- Improved Result2014

    • Author(s)
      Yasuhito Kawano and Hiroshi Sekigawa
    • Organizer
      QIP 2014
    • Place of Presentation
      AXA Auditorium, Barcelona
    • Data Source
      KAKENHI-PROJECT-25330021
  • [Presentation] The Nearest Polynomial to Multiple Given Polynomials with a Given Zero2014

    • Author(s)
      Hiroshi Sekigawa
    • Organizer
      2014 Symposium on Symbolic-Numeric Computation
    • Place of Presentation
      上海(中国)
    • Year and Date
      2014-07-30
    • Data Source
      KAKENHI-PROJECT-24500022
  • [Presentation] Quantum Fourier Transform over Symmetric Groups2013

    • Author(s)
      Yasuhito Kawano and Hiroshi Sekigawa
    • Organizer
      ACM ISSAC 2013
    • Place of Presentation
      Northeastern University, Boston
    • Data Source
      KAKENHI-PROJECT-25330021
  • [Presentation] 対称群上の量子フーリエ変換アルゴリズム2013

    • Author(s)
      河野泰人、関川浩
    • Organizer
      電子情報通信学会 量子情報技術研究会
    • Place of Presentation
      北海道大学
    • Data Source
      KAKENHI-PROJECT-25330021
  • [Presentation] 連立代数方程式の解の個数を保つ摂動限界2012

    • Author(s)
      関川浩, 白柳潔
    • Organizer
      Risa/Asir Conference
    • Place of Presentation
      神戸大学(神戸市)
    • Year and Date
      2012-03-20
    • Data Source
      KAKENHI-PROJECT-21500026
  • [Presentation] Maximal Perturbation for Preserving the Number of Solutions of a Polynomial System2012

    • Author(s)
      Hiroshi Sekigawa, Kiyoshi Shirayanagi
    • Organizer
      International Symposium on Symbolic and Algebraic Computation 2012
    • Place of Presentation
      グルノーブル大(グルノーブル、フランス)
    • Data Source
      KAKENHI-PROJECT-24500022
  • [Presentation] 連立代数方程式の解の個数を保つ摂動限界2012

    • Author(s)
      関川浩, 白柳潔
    • Organizer
      Risa/Asir Conference 2012
    • Place of Presentation
      神戸大学(神戸市)
    • Year and Date
      2012-03-20
    • Data Source
      KAKENHI-PROJECT-21500026
  • [Presentation] Isolated Real Zero of a Real Polynomial System under Perturbation2011

    • Author(s)
      H. Sekigawa and K. Shirayanagi
    • Organizer
      International Symposium on Symbolic and Algebraic Computation 2011
    • Place of Presentation
      サンノゼコンベンションセンター(米国)
    • Data Source
      KAKENHI-PROJECT-21500026
  • [Presentation] Matrix Decomposition and its Application to Complex Hadamard matrices2011

    • Author(s)
      Y.Kawano, H.Sekigawa
    • Organizer
      The 14^<th> Workshop on Quantum Information Processing 2011
    • Place of Presentation
      シンガポール
    • Year and Date
      2011-01-10
    • Data Source
      KAKENHI-PROJECT-20500024
  • [Presentation] 係数に誤差のある実係数連立代数方程式の孤立実数解について2011

    • Author(s)
      関川浩, 白柳潔
    • Organizer
      Risa/Asir Conference 2011
    • Place of Presentation
      神戸大学(神戸市)
    • Year and Date
      2011-03-21
    • Data Source
      KAKENHI-PROJECT-21500026
  • [Presentation] 係数に誤差のある実係数連立代数方程式の孤立実数解について2011

    • Author(s)
      関川浩, 白柳潔
    • Organizer
      Risa/Asir Conference
    • Place of Presentation
      神戸大学(神戸市)
    • Year and Date
      2011-03-21
    • Data Source
      KAKENHI-PROJECT-21500026
  • [Presentation] 安定化理論に基づくISCZ法の凸包構成への応用,京都大学数理解析研究所研究集会2010

    • Author(s)
      白柳潔, 関川浩
    • Organizer
      Computer Algebra-Design of Algorithms, Implementations and Applications
    • Place of Presentation
      京都大学(京都市)
    • Year and Date
      2010-12-03
    • Data Source
      KAKENHI-PROJECT-21500026
  • [Presentation] 安定化理論に基づくISCZ法の凸包構成への応用2010

    • Author(s)
      白柳潔, 関川浩
    • Organizer
      京都大学数理解析研究所研究集会Computer Algebra-Design of Algorithms, Implementations and Applications
    • Place of Presentation
      京都大学(京都市)
    • Year and Date
      2010-12-03
    • Data Source
      KAKENHI-PROJECT-21500026
  • [Presentation] Application of Matrix Decomposition to Finding Complex Hadamard Matrices2010

    • Author(s)
      Y.Kawano, H.Sekigawa
    • Organizer
      The 13^<th> Workshop on Quantum Information Processing 2010
    • Place of Presentation
      チューリッヒ工科大,スイス
    • Year and Date
      2010-01-20
    • Data Source
      KAKENHI-PROJECT-20500024
  • [Presentation] Solvability of Bivariate Polynomial Systems under Perturbation2010

    • Author(s)
      H. Sekigawa and K. Shirayanagi
    • Organizer
      International Symposium on Symbolic and Algebraic Computation 2010
    • Place of Presentation
      ミュンヘン工科大学(ドイツ)
    • Data Source
      KAKENHI-PROJECT-21500026
  • [Presentation] 係数に誤差のある連立代数方程式の可解性について2010

    • Author(s)
      関川浩, 白柳潔
    • Organizer
      第19回日本数式処理学会大会
    • Place of Presentation
      名古屋大学(名古屋市)
    • Year and Date
      2010-06-13
    • Data Source
      KAKENHI-PROJECT-21500026
  • [Presentation] Deciding Divisibility between Polynomials with Inexact Coefficients2009

    • Author(s)
      H. Nakayama and H. Sekigawa
    • Organizer
      International Symposium on Symbolic and Algebraic Computation2009
    • Place of Presentation
      Korea Institute for Advanced Study(韓国)
    • Year and Date
      2009-07-30
    • Data Source
      KAKENHI-PROJECT-21500026
  • [Presentation] Producing quantum circuits of the extended Clifford group2009

    • Author(s)
      Y.Kawano, H.Sekigawa
    • Organizer
      The 12^<th> Workshop on Quantum Information Processing 2009
    • Place of Presentation
      Santa Fe, アメリカ
    • Year and Date
      2009-01-14
    • Data Source
      KAKENHI-PROJECT-20500024
  • [Presentation] 行列分解と複素アダマール行列への応用2009

    • Author(s)
      河野泰人, 関川浩
    • Organizer
      電子通信学会量子情報技術研究会
    • Place of Presentation
      電気通信大学
    • Year and Date
      2009-11-04
    • Data Source
      KAKENHI-PROJECT-20500024
  • [Presentation] A Sequence of Nearest Polynomials with Given Factors2009

    • Author(s)
      Hiroshi Sekigawa
    • Organizer
      The 9th Asian Symposium on Computer Mathematics and the 3rd International Conference on Mathematical Aspects of Computer and Information Sciences
    • Place of Presentation
      JALリゾート シーホークホテル福岡(福岡市)
    • Year and Date
      2009-12-14
    • Data Source
      KAKENHI-PROJECT-21500026
  • [Presentation] Reducing Exact Computations to Obtain Exact Results Based on Stabilization Techniques2009

    • Author(s)
      K. Shirayanagi and H. Sekigawa
    • Organizer
      The 3^<rd> International Symposium on Symbolic and Algebraic Computation
    • Place of Presentation
      コープイン京都(京都市)
    • Year and Date
      2009-08-03
    • Data Source
      KAKENHI-PROJECT-21500026
  • [Presentation] A Sequence of Nearest Polynomials with Given Factors2009

    • Author(s)
      H. Sekigawa
    • Organizer
      The 9th Asian Symposium on Computer Mathematics and the 3rd International Conference on Mathematical Aspects of Computer and Information Sciences
    • Place of Presentation
      JALリゾートシーホークホテル福岡(福岡市)
    • Year and Date
      2009-12-14
    • Data Source
      KAKENHI-PROJECT-21500026
  • [Presentation] 安定化理論に基づくISCZ法の有効性について,京都大学数理解析研究所研究集会2009

    • Author(s)
      白柳潔, 関川浩
    • Organizer
      Computer Algebra-Design of Algorithms, Implementations and Applications
    • Place of Presentation
      京都大学(京都市)
    • Year and Date
      2009-11-04
    • Data Source
      KAKENHI-PROJECT-21500026
  • [Presentation] A New Method of Reducing Exact Computations to Obtain Exact Results2009

    • Author(s)
      K. Shirayanagi and H. Sekigawa
    • Organizer
      International Symposium on Symbolic and Algebraic Computation2009
    • Place of Presentation
      Korea Institute for Advanced Study(韓国)
    • Year and Date
      2009-07-30
    • Data Source
      KAKENHI-PROJECT-21500026
  • [Presentation] Interval-symbol Method with Correct Zero Rewriting: Reducing Exact Computations to Obtain Exact Results

    • Author(s)
      Kiyoshi Shirayanagi, Hiroshi Sekigawa
    • Organizer
      18th Asian Technology Conference in Mathematics
    • Place of Presentation
      インド工科大学(ムンバイ、インド)
    • Data Source
      KAKENHI-PROJECT-24500022
  • [Presentation] Quantum Fourier Transform over Symmetric Groups

    • Author(s)
      Yasuhito Kawano, Hiroshi Sekigawa
    • Organizer
      38th International Symposium on Symbolic and Algebraic Computation
    • Place of Presentation
      ノースイースタン大学(ボストン、米国)
    • Data Source
      KAKENHI-PROJECT-24500022
  • [Presentation] 制限付きの最小包囲正方形問題

    • Author(s)
      小形幸輝、関川浩
    • Organizer
      Risa/Asir Conference 2014
    • Place of Presentation
      神戸大学(神戸市)
    • Data Source
      KAKENHI-PROJECT-24500022
  • [Presentation] 解を持たない連立代数方程式に対する係数の摂動限界

    • Author(s)
      関川浩、白柳潔
    • Organizer
      Risa/Asir Conference 2013
    • Place of Presentation
      神戸大学(神戸市)
    • Data Source
      KAKENHI-PROJECT-24500022
  • [Presentation] Computing the Nearest Real Univariate Polynomial with a Real Multiple Zero and Its Application

    • Author(s)
      Hiroshi Sekigawa
    • Organizer
      10th Asian Symposium on Computer Mathematics
    • Place of Presentation
      中国科学院(北京、中国)
    • Invited
    • Data Source
      KAKENHI-PROJECT-24500022
  • [Presentation] Quantum Fourier Transform over Symmetric Groups --- Improved Result

    • Author(s)
      Yasuhito Kawano and Hiroshi Sekigawa
    • Organizer
      ACM ISSAC (International Symposium on Symbolic and Algebraic Computation) 2014
    • Place of Presentation
      神戸大学(兵庫県神戸市)
    • Year and Date
      2014-07-23 – 2014-07-25
    • Data Source
      KAKENHI-PROJECT-25330021
  • [Presentation] 連立代数方程式の解の個数を保つ摂動限界

    • Author(s)
      関川浩、白柳潔
    • Organizer
      第21回日本数式処理学会大会
    • Place of Presentation
      山口大学(山口市)
    • Data Source
      KAKENHI-PROJECT-24500022
  • [Presentation] Computing a Perturbation Bound for Preserving the Number of Common Zeros of a Polynomial System

    • Author(s)
      Hiroshi Sekigawa, Kiyoshi Shirayanagi
    • Organizer
      18th Asian Technology Conference in Mathematics
    • Place of Presentation
      インド工科大学(ムンバイ、インド)
    • Data Source
      KAKENHI-PROJECT-24500022
  • 1.  SHIRAYANAGI Kioshi (80396176)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 26 results
  • 2.  Kawano Yasuhito (40396180)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 19 results
  • 3.  山下 茂 (30362833)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 1 results
  • 4.  中西 正樹 (40324967)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 1 results
  • 5.  NABESHIMA Katsusuke
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 1 results
  • 6.  SATO Yosuke
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 1 results

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