TAKAYAMA NOBUKI 高山信毅

… Alternative Names

Researcher Number	30188099
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Affiliation (Current)	2020: 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
  
  TAKEMURA AKIMICHI
- 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, 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] 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] 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] 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] 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] 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] 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-20K20283
[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] 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] 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] 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] 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 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] 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 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
- 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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-25287018
[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-26610039
[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] 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] 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] 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] 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

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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

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