TAKAYAMA NOBUKI 高山信毅

… Alternative Names

Researcher Number	30188099
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Affiliation (Current)	2019: 神戸大学, 理学研究科, 教授
Affiliation (based on the past Project Information) *help	2015 – 2018: 神戸大学, 理学研究科, 教授 2013 – 2016: 神戸大学, 理学(系)研究科(研究院), 教授 2007 – 2010: Kobe University, Graduate School of Science, Professor 2009: 神戸大, 理学(系)研究科(研究院), 教授 2009: 神戸大学, 理学部, 教授 … More
Review Section/Research Field	Principal Investigator Basic analysis / 解析学 / General mathematics (including Probability theory/Statistical mathematics) / Foundations of mathematics/Applied mathematics / Basic analysis Except Principal Investigator Algebra / 解析学 / General mathematics (including Probability theory/Statistical mathematics) / Geometry / 代数学・幾何学 … More
Keywords	Principal Investigator グレブナ基底 / D-加群 / 超幾何関数 / A-超幾何関数 / Grobner basis / computer algebra / 数学ソフトウエア / 特殊関数 / 多変数超幾何関数 / 数値計算 … More Except Principal Investigator 超幾何微分方程式 / グレブナー基底 / 粘性解 / Grobner basis / 超幾何関数 / 初期値空間 / 保型形式 / ヘッケ環 / 球関数 / 数式処理 / hypergeometric system / Asymptotic expansion / 中心極限定理 / Central limit theorem / uniformly distributed sequence / random numbers / 射影部分多様体 / ガルニエ系 / パンルヴェ方程式 / 相関関数 / パーコレーション / ハミルトン構造 / グレプナ基底 / 射影微分幾何学 / 計算代数解析 / 計算代数統計 / アルゴリズム / D加群 / 射影不変量 / パンルベ方程式 / projective invariant / 配置空間 / spherical function / configuration space / 可積分系 / projective differential geometry / affine differential geometry / contact geometry / integrable system / カラビ・ヤウ多様体 / ミラー対称性 / Monte Carlo method / quasi Monte Carlo method / M sequence / Hausdorff dimension / numerical integration / Grobner deformations / Monomial ideal / GKZ hypergeometric system / モジュライ空間 / 間隙三角級数 / 多項式エルゴード定理 / 概不変原理 / 重複対数の法則 / Riesz-Raikov和 / non-conventional average / 数学ソフトウェア / 計算代数 / Groebner Basis / CGB / 導関数の評価 / 障害物問題 / Painlcae' equations / fixed singular points / canonical transformation / holonomic system / contigu relation / optimal control / sperical Zーdceign / 完全非線形楕円型偏微分方程式 / 特異摂動 / 微積分方程式 / 超幾何微分方程式系 / モノドロミ-群 / 接続系数 / 可換微分作用素系 / 2次形式 / 絡み目 / 確率場 / 非線形モノドロミ- / 特異性伝幡 / ベルマン方程式 / イ-ジング模型 / 8一頂点模型 / イジング模型 / 合流型超幾何関数 / モノドロミー / 計算機言語 / 2次体 / 連分数 / リンク / K3曲面 / 相転移モデル / モノドロ〓群 / 結び目のcongruence / 計算環論 / パンルヴェ系 / 正準座標系 / 非線形モノドロミ-群 / シンプレクティック多様体 / 正準方程式系 / ネットワーク / 発展方程式 / 曲面の変換 / 射影曲率 / 非線形方程式 / 平均曲率流 / 計算可換代数 / 凸多面体 / イニシャルイデアル / マルコフ基底 / 分割表 / トーリックイデアル / グレブナ-基底 / generic initial ideal / 計算の効率化 / 凸多面体の組合せ論 / 統計的推測 / 統計数学 / 微分方程式 / 数理統計学 / 代数統計学 / 1 / 正則グラフ / パンルベ系 / 球対称性 / 結び目解消数 / 変曲点 / アファイン極小性 / モジュラー曲面 / ロ-加群 / 球対称解 / regular graph / Painleve system / radial solution / unknotting number / Groebner basis / 模型 / 結び目 / 多様体 / Alexander不変量 / 幾何構造 / 結び目解消操作 / Model / Knot / Manifold / Alexander invariant / Geometric structure / Unknotting operation / 超幾何函数 / マクドナルド多項式 / 球函数 / グラスマン多様体 / 合流型超幾何函数 / Macdonald多項式 / Grassmann多様体 / hypergeometric function / Macdonald polynomial / Grassmannian / confluent hypergeometric function / 超幾何系 / 接触幾何学 / アファイン幾何学 / 線叢 / Hesse geometry / projective submanifold / projective invariants / line congruence / Mirror対称性 / GKZ超幾何系 / カラビ-ヤウ多様体 / グロモフ-ウイッテン不変量 / 有理楕円曲面 / ベクトル束のモジュライ空間 / Mirror 対称性 / GKZ 超幾何系 / グロモフ・ウイッテン不変量 / プレポテンシャル / ベクトル波 / 化積分系 / 湯川カップリング / GK2型超幾何微分方程式系 / カラビ=ヤウ多様体 / Mirror Symmetry / GKZ Hypergeometric System / Calabi-Yau manifolds / Gromov-Witten invariants / Rational Elliptic Surfaces / Painleve equations / Spaces of Initial Values / Moduli spaces of Vector Bundles / automorphic form / Hecke algebra / 合流超幾何関数 / 不確定特異 / 不確定度 / 漸近展開 / 周期関係式 / 交点理論 / 発散解 / エアリー関数 / 合流超幾何方程式 / 不確定特異点 / Confluent hypergeometric function / Irregukar singular / Irregularity / Period relation / Intersection theory / Divergent solution / Airy function / D-加群 / 線型偏微分方程式 / グレブナ基底 / D-module / linear partial differential equation / algorithm / Groebner base / symbolic computation / Monte-Carlo法 / 準Monte-Carlo法 / 一様分布数列 / 乱数 / M系列 / Haussdorf次元 / 数値積分法 / Haussdorf / Asyonptotic expansion / Grobner diformation / GKZ hypergesmetric system / Grolner basis / Volune polynonrid / Rogular singulasity / series sohition / Standard pairs / アフィンワイル群対称性 / ベックルント変換 / 離散可積分系 / Painleve equation / affine Weyl group symmetry / hypergeometric equation / 正標数 / アルチン・メイザー形式群 / カルチエ作用素 / チャウ群 / アーベル曲面 / 暗号 / ネロン・セヴェリ群 / イリュージー層 / ハイト / 符号 / ド・ラムコホモロジー群 / フロベニウス写像 / ホッジフィルトレーション / a-数 / 形式的ブラウワー群 / モジュウイ空間 / 公開鍵暗号 / 量子計算機 / NP問題 / Positive characteristic / Artin-Mazur formal group / Cartier operator / Moduli space / Chow group / Calabi-Yau variety / Abelian surface / Cryptography / Bakerの数列 / Riesz-Rakov和 / 極小素因子計算 / グレブナー fan / グレブナーfan / VOA / b関数 / 多項式因数分解 / 多項式イデアル / 準素分解 / 極小素因子 / 最少多項式 / Computer algebra / Algebraic analysis / Hypergeometric function / polynomial factorization / Ideal decomposition / Polynomial system solving / Vertex operator algebra / 間隙級数 / Hardy-Littlewood-Fejerの数列 / 概不変定理 / Law of the iterated logarithm / Discrepancy / gap theorem / lacunary series / invariance principles / F4アルゴリズム / 代数拡大 / 超幾何方程式 / 代数方程式 / modular計算 / F_4 / 斉次化 / パラメタ / dynamic evaluation / F4 algorithm / Algebraic extension / Mathematical Software / Hvnereeometric equation / polynomial system / modular computation Less

統計応用を目指した多変数超幾何方程式系の研究Principal InvestigatorOngoing
- Principal Investigator
  
  高山信毅
- Project Period (FY)
  2017 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kobe University
High precision numerical algorithms by finite fieldsPrincipal Investigator
- Principal Investigator
  
  Takayama Nobuki
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Foundations of mathematics/Applied mathematics
- Research Institution
  Kobe University
Innovation in statistics and related mathematics through computational algebraic statistics
- Principal Investigator
  
  竹村彰通
- Project Period (FY)
  2013 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (S)
- Research Field
  
  Statistical science
- Research Institution
  Shiga University
  The University of Tokyo
Theory and numerical evaluation of special functions of several variablesPrincipal Investigator
- Principal Investigator
  
  Takayama Nobuki
- Project Period (FY)
  2013 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kobe University
Computational Approaches for Mathematical SciencesPrincipal Investigator
- Principal Investigator
  
  TAKAYAMA Nobuki
- Project Period (FY)
  2007 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kobe University
The Study of theoretical aspects and practical aspect on Grobner Bases
- Principal Investigator
  
  HIBI Takayuki
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
Development of efficient algorithms and software for solving parametric systems
- Principal Investigator
  
  NORO Masayuki
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kobe University
Computational Analysis of Hypergeometric Differential EquationsPrincipal Investigator
- Principal Investigator
  
  TAKAYAMA Nobuki
- Project Period (FY)
  2003 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  KOBE UNIVERSITY
Development of high performance computer algebra software
- Principal Investigator
  
  NORO Masayuki
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  KOBE UNIVERSITY
Probability Theory and Random numbers : Gap Theoretical Approach
- Principal Investigator
  
  FUKUYAMA Katusi
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  KOBE UNIVERSITY
GKZ systems with irregular singularitiesPrincipal Investigator
- Principal Investigator
  
  TAKAYAMA Nobuki
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  KOBE UNIVERSITY
Studies on agebraic geometry in positive characteristic, coding theory and cryptography
- Principal Investigator
  
  KATSURA Toshiyuki
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
Real analitic probabilistic approach to theory of random numbers
- Principal Investigator
  
  FUKUYAMA Katusi
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  KOBE UNIVERSITY
Comprehensive Studies on Hypergeometric and Painleve Systems
- Principal Investigator
  
  NOUMI Masatoshi
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Basic analysis
- Research Institution
  Kobe University
射影不変平均曲率流と画像処理
- Principal Investigator
  
  佐々木武
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Global analysis
- Research Institution
  Kobe University
Grobner asymptotic expansion for regular holononic systems
- Principal Investigator
  
  IKEDA Hiroshi
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kobe University
数学研究支援のための自己学習型数式処理系の設計と開発
- Principal Investigator
  
  野海正俊
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  Kobe University
Study of geometric structures on projective submanifolds in view of differential equations
- Principal Investigator
  
  SAKAI Takeshi
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Kobe University
Research on Periods of Algebraic Varieties and Hypergeometric Functions
- Principal Investigator
  
  SAITO Masa-hiko
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Kobe University
Automorphic forms of several variables and spherical functions of homoge-neous spaces
- Principal Investigator
  
  YAMAZAKI Tadashi
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  KOBE UNIVERSITY
STUDIES ON D-MODULES DERIVED FROM CONFLUENT HYPERGEOMETRIC DIFFERENTIAL EQUATIONS
- Principal Investigator
  
  MAJIMA Hideyuki
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  Ochanomizu University
Study on Algorithms for D-Modules
- Principal Investigator
  
  OAKU Toshonori
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Yokohama City University
Random number theory and real analytic probability
- Principal Investigator
  
  FUKUYAMA Katusi
- 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
  KOBE UNIVERSITY
保型形式に付随する特殊関数の研究
- Principal Investigator
  
  山崎正
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kobe University
Research on Structures of Knots and Manifolds as Models
- Principal Investigator
  
  NAKANISHI Yasutaka
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Kobe University
Special Functions in Many Variables
- Principal Investigator
  
  NOUMI Masatoshi
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  Kobe University
q-解析にあらわれる非可換代数に関するアルゴリズムの研究Principal Investigator
- Principal Investigator
  
  高山信毅
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Kobe University
パンルヴェ系・ガルニエ系の初期値空間
- Principal Investigator
  
  高野恭一
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Kobe University
保型形式のL関数の解析的研究
- Principal Investigator
  
  YAMAZAKI Tadashi
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kobe University
ツイスト(コ)ホモロジー交点理論と超幾何関数の研究Principal Investigator
- Principal Investigator
  
  高山信毅
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  解析学
- Research Institution
  Kobe University
D加群に関するアルゴリズムの研究Principal Investigator
- Principal Investigator
  
  高山信毅
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Kobe University
On canonically induced geometric structures on submaniflds and the equivalence problem
- Principal Investigator
  
  SASAKI T
- Project Period (FY)
  1994 – 1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Kobe University
テーダ関数とその一般化の満たす微分および関数方程式の研究
- Principal Investigator
  
  佐々木武
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Kobe University
正値2次形式の表現数についての代数的・解析的研究
- Principal Investigator
  
  味村良雄
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Kobe University
確率場の解析的研究
- Principal Investigator
  
  樋口保成
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kobe University
超幾何微方変程式系の微分幾何的・代数的・解析的研究
- Principal Investigator
  
  佐々木武
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Kobe University
複素領域の微分方程式・差分方程式の研究
- Principal Investigator
  
  高野恭一
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kobe University
完全非線形楕円型偏微分方程式の境界値問題の研究
- Principal Investigator
  
  相沢貞一
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kobe University
完全非線形2階偏微分方程式の粘性解と変分問題の研究
- Principal Investigator
  
  山田直記
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kobe University
多様体上の微分方程式の解析
- Principal Investigator
  
  高野恭一
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kobe University

[Book] 超幾何学校2013/2014講義録, Rokko Lectures in Mathematics 23.2015
- Author(s)
  高山信毅(編)
- Total Pages
  134
- Publisher
  神戸大学大学院理学研究科数学専攻
- Data Source
  KAKENHI-PROJECT-25287018
[Book] Mathematical Software -ICMS 2010 Third International Congress on Mathematica Software, Kobe, Japan2010
- Author(s)
  M.Joswig, K.Fukuda, J.Van der Hoeven, N.Takayama編集
- Total Pages
  6327
- Publisher
  Springer Lecture Notes in Computer Science
- Data Source
  KAKENHI-PROJECT-19204008
[Book] Mathematical Software-ICMS 2010 Third International Congress on Mathematica Software, LNCS 63272010
- Author(s)
  M.Joswig, K.Fukuda,J.Van der Hoeven, N.Takayama
- Total Pages
  368
- Publisher
  Springer
- Data Source
  KAKENHI-PROJECT-19204008
[Book] Proceedings of ICMS 2006, Lecture Notes in Computer Science (LNCS) 4151.2006
- Author(s)
  Nobuki Takayama, Andres Iglesias編集
- Total Pages
  452
- Publisher
  Springer
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340045
[Book] Proceedings of ICMS 2006, Lecture Notes in Computer Science (LNCS) 4151.2006
- Author(s)
  Nobuki Takayama, Andres Iglesias 編集
- Total Pages
  452
- Publisher
  Springer
- Data Source
  KAKENHI-PROJECT-15340045
[Journal Article] A-hypergeometric distributions and Newton polytopes2018
- Author(s)
  Takayama, N., Kuriki, S. and Takemura, A.
- Journal Title
  
  Advances in Applied Mathematics
  
  Volume: 99 Pages: 109-133
- DOI
  10.1016/j.aam.2018.05.001
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H02791, KAKENHI-PROJECT-25220001, KAKENHI-PROJECT-16H02792
[Journal Article] Distribution of the ratio of two Wishart matrices and cumulative probability evaluation by the holonomic gradient method.2018
- Author(s)
  Hashiguchi Hiroki、Takayama Nobuki、Takemura Akimichi
- Journal Title
  
  Journal of Multivariate Analysis
  
  Volume: 165 Pages: 270-278
- DOI
  10.1016/j.jmva.2018.01.002
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05279, KAKENHI-PROJECT-25220001, KAKENHI-PROJECT-16H02791
[Journal Article] Pfaffian systems of A-hypergeometric equations I: bases of twisted cohomology groups2017
- Author(s)
  T.Hibi, K.Nishiyama, N.Takayama
- Journal Title
  
  Adv. Math.
  
  Volume: 306 Pages: 303-327
- DOI
  10.1016/j.aim.2016.10.021
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25287018, KAKENHI-PROJECT-26220701, KAKENHI-PROJECT-17H06198
[Journal Article] 2元分割表に対する差分ホロノミック勾配法の実装2017
- Author(s)
  橘義仁, 後藤良彰, 高山信毅
- Journal Title
  
  数理研考究録
  
  Volume: 印刷中
- Data Source
  KAKENHI-PROJECT-26610039
[Journal Article] 2元分割表に対する差分ホロノミック勾配法の実装2016
- Author(s)
  後藤良彰, 橘義仁, 高山信毅
- Journal Title
  
  数理研講究録
  
  Volume: 未定
- Data Source
  KAKENHI-PROJECT-26610039
[Journal Article] Irregularity of Modified $A$-Hypergeometric Systems2015
- Author(s)
  F.Castro-Jimenez, M.C.Fernandez-Fernandez, T.Koike, N.Takayama
- Journal Title
  
  Transaction of AMS
  
  Volume: 367 Pages: 5415-5445
- DOI
  10.1090/s0002-9947-2014-06225-9
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25287018
[Journal Article] Software Packages for Holonomic Gradient Method2014
- Author(s)
  T.Koyama, H.Nakayama, K.Ohara, T.Sei, N.Takayama
- Journal Title
  
  Lecture Notes in Computer Science
  
  Volume: 1 Pages: 706-712
- DOI
  10.1007/978-3-662-44199-2_105
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25220001, KAKENHI-PROJECT-25400132
[Journal Article] Holonomic Rank of the Fisher-Bingham System of Differential Equations2014
- Author(s)
  T. Koyama, H. Nakayama, K. Nishiyama, N. Takayama
- Journal Title
  
  Journal of Pure and Applied Algebra
  
  Volume: 218 Pages: 2060-2071
- DOI
  10.1016/j.jpaa.2014.03.004
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25287018
[Journal Article] The singular locus of Lauricella's FC2014
- Author(s)
 Ryohei Hattori, Nobuki Takayama
- Journal Title
 
 JMSJ
 
 Volume: 66 Issue: 3 Pages: 981-995
- DOI
 10.2969/jmsj/06630981
- NAID
 130004927753
- ISSN
 0025-5645, 1881-1167, 1881-2333
- Language
 English
- Peer Reviewed
- Data Source
 KAKENHI-PROJECT-25287018
[Journal Article] Holonomic Gradient Descent for the Fisher-Bingham Distribution on the $n$-dimensional Sphere2014
- Author(s)
  T. Koyama, H. Nakayama, K. Nishiyama, N. Takayama
- Journal Title
  
  Computational Statistics
  
  Volume: (accepted) Pages: 661-683
- DOI
  10.1007/s00180-013-0456-z
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740064, KAKENHI-PROJECT-25220001
[Journal Article] Holonomic Gradient Descent and its Application to the Fisher-Bingham Integral2011
- Author(s)
  H.Nakayama, K.Nishiyama, M.Noro, K.Ohara, T.Sei, N.Takayama, A.Takemura
- Journal Title
  
  Advances in Applied Mathematics (2011), to appear. 03
- Data Source
  KAKENHI-PROJECT-19204008
[Journal Article] The Computation of the Logarithmic Cohomology for Plane Curves,2009
- Author(s)
  F.J.Castro-Jimenez, N.Takayama
- Journal Title
  
  Journal of Algebra 322
  
  Pages: 3839-3851
- Data Source
  KAKENHI-PROJECT-19204008
[Journal Article] Holonomic Rank of A-Hypergeometric Differential-Difference Equations2009
- Author(s)
  K. Ohara & N. Takayama
- Journal Title
  
  Journal of Pure and Applied Algebra 213
  
  Pages: 1536-1544
- NAID
  120001506673
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204008
[Journal Article] The Computation of the Logarithmic Cohomology for Plane Curves2009
- Author(s)
  F. J. Castro-Jimenez, N. Takayama
- Journal Title
  
  Journal of Algebra 322
  
  Pages: 3839-3851
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204008
[Journal Article] Holonomic Rank of A-Hypergeometric Differential-Difference Equations2009
- Author(s)
  K.Ohara, N.Takayama
- Journal Title
  
  Journal of Pure and Applied Algebra 213
  
  Pages: 1536-1544
- NAID
  120001506673
- Data Source
  KAKENHI-PROJECT-19204008
[Journal Article] Componentwise linear ideals with minimal or maximal Betti numbers2008
- Author(s)
  J. Herzog, T. Hibi, S. Murai, Y. Takayama
- Journal Title
  
  Ark. Mat 46
  
  Pages: 69-75
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340008
[Journal Article] Local Grobner Fan2007
- Author(s)
  R.Bahloul, N.Takayama
- Journal Title
  
  C.R. Acad.Sci. Paris, Ser. I. (to appear)
- NAID
  120001506675
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340045
[Journal Article] Local Grobner Fan2007
- Author(s)
  R. Bahloul & N. Takayama
- Journal Title
  
  C. R. Acad. Sci. Paris, Ser. I 344
  
  Pages: 147-152
- NAID
  120001506675
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204008
[Journal Article] Andres Iglesias edited, Proceedings of ICMS 2006, Lecture Notes in Computer Science (LNCS)2006
- Author(s)
  Nobuki Takayama
- Journal Title
  
  LNCS 4151
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340045
[Journal Article] Tangent cone algorithm for homogenenized differential operators2005
- Author(s)
  M.Granger, T.Oaku, N.Takayama.
- Journal Title
  
  Journal of Symbolic Computation 39
  
  Pages: 417-431
- Data Source
  KAKENHI-PROJECT-15340045
[Journal Article] Tangent cone algorithm for Homogenized differential operators2005
- Author(s)
  M. Granger, T. Oaku, N. Takayama
- Journal Title
  
  J. Symb. Comp Vol. 39
  
  Pages: 417-431
- NAID
  120001506676
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17340028
[Journal Article] OpenXMプロジェクトの過去,現在,未来2005
- Author(s)
  高山信毅
- Journal Title
  
  数式処理 12
  
  Pages: 51-56
- NAID
  10019341853
- Data Source
  KAKENHI-PROJECT-15340045
[Journal Article] OpenXMプロジェクトの過去,現在,未来2005
- Author(s)
  高山信毅
- Journal Title
  
  数式処理 12(1)
  
  Pages: 51-56
- NAID
  10019341853
- Data Source
  KAKENHI-PROJECT-17340028
[Journal Article] ディジタル数学公式集の現状と未来2004
- Author(s)
  高山信毅
- Journal Title
  
  情報処理
  
  Pages: 740-745
- NAID
  110002768272
- Data Source
  KAKENHI-PROJECT-15340045
[Journal Article] Singularities of the hypergeometric system associated with a monomial curve2003
- Author(s)
  Fransisco Jesus Castro-Jimnez, Nobuki Takayama
- Journal Title
  
  Trans.Amer.Math.Soc. 355
  
  Pages: 3761-3775
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340036
[Journal Article] Quadratic Relations for Generalized Hypergeometric Functions _pF_<p-1>2003
- Author(s)
 K.Ohara, Y.Sugiki, N.Takayama
- Journal Title
 
 Funkcialaj Ekvacioj 46-2
 
 Pages: 213-251
- Description
 「研究成果報告書概要(和文)」より
- Data Source
 KAKENHI-PROJECT-14340036
[Journal Article] Quandratic Relations for Generalized Hypergeometric Functions _pF_<p-1>2003
- Author(s)
 Katsuyoshi.Ohara, Yuichi Sugiki, Nobuki Takayama
- Journal Title
 
 Funkcialaj Ekvacioj 46-2 (in press)
 
 Pages: 213-251
- Description
 「研究成果報告書概要(欧文)」より
- Data Source
 KAKENHI-PROJECT-14340036
[Journal Article] Algebraic algorithms for D-modules and numerical analysis
- Author(s)
  T.Oaku, Y.Shiraki, N.Takayama
- Journal Title
  
  Computer mathematics, Lecture Notes Ser.Comput.(World Sci.Publishing) 10
  
  Pages: 23-39
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540116
[Presentation] Twisted cohomology 群の交点数を求めるアルゴリズム2019
- Author(s)
  高山信毅
- Organizer
  日本数学会2019年度年会
- Data Source
  KAKENHI-PROJECT-17K05279
[Presentation] 分割表の条件付き最尤推定のための Risa/Asir パッケージ2018
- Author(s)
  高山信毅
- Organizer
  Risa/Asir Conference, 2018
- Data Source
  KAKENHI-PROJECT-17K05279
[Presentation] 超幾何方程式 E(k,n)の contiguity relation を用いた乱数生成2018
- Author(s)
  高山信毅
- Organizer
  第１２回玉原特殊多様体研究集会
- Data Source
  KAKENHI-PROJECT-17K05279
[Presentation] 計算代数の direct sampler への応用2018
- Author(s)
  高山信毅
- Organizer
  Computer algebra --- theory and its applications
- Data Source
  KAKENHI-PROJECT-17K05279
[Presentation] A-超幾何関数のみたすPfaffian方程式系の構成2017
- Author(s)
  高山信毅
- Organizer
  北海道特殊関数セミナー
- Place of Presentation
  北海道大学
- Invited
- Data Source
  KAKENHI-PROJECT-25287018
[Presentation] 常微分(差分)方程式用有理数対応数値解析パッケージ2017
- Author(s)
  高山信毅
- Organizer
  Risa/Asir Conference 2017
- Place of Presentation
  金沢大学
- Year and Date
  2017-03-28
- Data Source
  KAKENHI-PROJECT-26610039
[Presentation] Non-central complex Wishart 行列の最大固有値の CDF の数値計算2017
- Author(s)
  高山信毅
- Organizer
  確率, 統計, 行列ワークショップ松本 2017
- Invited
- Data Source
  KAKENHI-PROJECT-17K05279
[Presentation] Random matrix と多変数特殊関数の数値計算2017
- Author(s)
  高山信毅
- Organizer
  複素微分方程式の楽しみ
- Invited
- Data Source
  KAKENHI-PROJECT-17K05279
[Presentation] 2元分割表の条件付き確率の差分HGMによる計算2016
- Author(s)
  高山信毅
- 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
  2016-03-17
- Data Source
  KAKENHI-PROJECT-26610039
[Presentation] A-超幾何多項式の近似値公式と分割表統計2016
- Author(s)
  高山信毅
- Organizer
  超幾何方程式研究会 2016
- Place of Presentation
  神戸大学(兵庫県、神戸市)
- Year and Date
  2016-01-06
- Data Source
  KAKENHI-PROJECT-25287018
[Presentation] Sylvester 型行列による超幾何関数の数値評価 --- グレブナー基底を使わない方法2015
- Author(s)
  高山信毅
- Organizer
  Risa/Asir Conference 2015
- Place of Presentation
  金沢大学
- Year and Date
  2015-03-18
- Data Source
  KAKENHI-PROJECT-26610039
[Presentation] Groebner bases and holonomic gradient method2015
- Author(s)
  Nobuki Takayama
- Organizer
  The 8th Mathematical Society of Japan Seasonal Institute, Current Trends on Gr\"obner Bases
- Place of Presentation
  Hotel Nikko Osaka (大阪府、大阪市)
- Year and Date
  2015-07-07
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25287018
[Presentation] Sylvester 型行列による超幾何関数の数値評価 --- グレブナー基底を使わない方法2015
- Author(s)
  高山信毅
- Organizer
  Risa/Asir Conference 2015
- Place of Presentation
  金沢大学
- Year and Date
  2015-03-18
- Data Source
  KAKENHI-PROJECT-25287018
[Presentation] 超幾何多項式の期待値写像と情報幾何2015
- Author(s)
  高山信毅
- Organizer
  超幾何方程式研究会 2015
- Place of Presentation
  神戸大学
- Year and Date
  2015-01-07
- Data Source
  KAKENHI-PROJECT-25287018
[Presentation] 多変数超幾何関数の数値計算とその応用2014
- Author(s)
  高山信毅
- Organizer
  第八回玉原特殊多様体研究集会
- Place of Presentation
  東京大学玉原国際セミナーハウス
- Year and Date
  2014-09-17
- Data Source
  KAKENHI-PROJECT-26610039
[Presentation] 多変数超幾何関数の数値計算とその応用,2014
- Author(s)
  高山信毅
- Organizer
  第八回玉原特殊多様体研究集会
- Place of Presentation
  東京大学玉原国際セミナーハウス
- Year and Date
  2014-09-17
- Data Source
  KAKENHI-PROJECT-25287018
[Presentation] Introduction and recent progress of the holonomic gradient method2014
- Author(s)
  Nobuki Takayama
- Organizer
  CASTA 2014
- Place of Presentation
  京都
- Invited
- Data Source
  KAKENHI-PROJECT-25287018
[Presentation] ホロノミック系の数値解析の統計への応用2014
- Author(s)
  高山信毅
- Organizer
  微分方程式の総合的研究
- Place of Presentation
  京都大学
- Year and Date
  2014-12-21
- Invited
- Data Source
  KAKENHI-PROJECT-25287018
[Presentation] ホロノミック系と統計2011
- Author(s)
  高山信毅
- Organizer
  計算による数理科学の展開2011
- Place of Presentation
  神戸大学(兵庫県)(招待講演)
- Year and Date
  2011-01-07
- Data Source
  KAKENHI-PROJECT-19204008
[Presentation] Holonomic graidient descent and its application to Fisher-Bingham integral2010
- Author(s)
  N.Takayama
- Organizer
  The second crest-sbm international conference "Harmony of Groebner bases and the modern industrial society"
- Place of Presentation
  大阪
- Year and Date
  2010-06-30
- Data Source
  KAKENHI-PROJECT-19204008
[Presentation] 統計学に現れるパラメータ付き積分のためのD-加群理論入門2009
- Author(s)
  高山信毅
- Organizer
  計算代数統計学の展開
- Place of Presentation
  統計数理研究所
- Year and Date
  2009-11-27
- Data Source
  KAKENHI-PROJECT-19204008
[Presentation] 不完全A超幾何関数-a first step2009
- Author(s)
  西山絢太, 高山信毅
- Organizer
  グレブナ基底と現代産業社会の調和
- Place of Presentation
  鹿児島大学
- Year and Date
  2009-02-18
- Data Source
  KAKENHI-PROJECT-19204008
[Presentation] The Buchberger algorithm in the ring of differential operators and its applications2006
- Author(s)
  Nobuki, Takayama
- Organizer
  RICAM/RISC
- Place of Presentation
  Austria
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17340028

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TAKAYAMA NOBUKI 高山 信毅

Takayama Nobuki 高山 信毅

TAKAYAMA Nobuki 高山 信毅

高山 信穀 タカヤマ ノブユキ

高山 信毅 タカヤマ ノブキ

Research Projects

Research Products

Co-Researchers

統計応用を目指した多変数超幾何方程式系の研究Principal InvestigatorOngoing

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High precision numerical algorithms by finite fieldsPrincipal Investigator

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Theory and numerical evaluation of special functions of several variablesPrincipal Investigator

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Computational Approaches for Mathematical SciencesPrincipal Investigator

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Computational Analysis of Hypergeometric Differential EquationsPrincipal Investigator

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GKZ systems with irregular singularitiesPrincipal Investigator

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Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

TAKAYAMA NOBUKI 高山信毅

Takayama Nobuki 高山信毅

TAKAYAMA Nobuki 高山信毅

高山信穀タカヤマノブユキ

高山信毅タカヤマノブキ