Software packages for holonomic gradient method

Tamio Koyama, Hiromasa Nakayama, Katsuyoshi Ohara, Tomonari Sei, Nobuki Takayama

研究成果: Conference contribution

1 引用 (Scopus)

抄録

We present software packages for the holonomic gradient method (HGM). These packages compute normalizing constants and the probabilities of some regions. While many algorithms which compute integrals over high-dimensional regions utilize the Monte-Carlo method, our HGM utilizes algorithms for solving ordinary differential equations such as the Runge-Kutta-Fehlberg method. As a result, our HGM can evaluate many integrals with a high degree of accuracy and moderate computational time. The source code of our packages is distributed on our web page [12].

元の言語English
ホスト出版物のタイトルLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
出版者Springer Verlag
ページ706-712
ページ数7
8592 LNCS
ISBN(印刷物)9783662441985
DOI
出版物ステータスPublished - 2014
イベント4th International Congress on Mathematical Software, ICMS 2014 - Seoul, Korea, Republic of
継続期間: 2014 8 52014 8 9

出版物シリーズ

名前Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
8592 LNCS
ISSN(印刷物)03029743
ISSN(電子版)16113349

Other

Other4th International Congress on Mathematical Software, ICMS 2014
Korea, Republic of
Seoul
期間14/8/514/8/9

Fingerprint

Gradient methods
Gradient Method
Software Package
Software packages
Normalizing Constant
Runge Kutta methods
Runge-Kutta Methods
Ordinary differential equations
Monte Carlo method
Websites
Ordinary differential equation
Monte Carlo methods
High-dimensional
Evaluate

ASJC Scopus subject areas

  • Computer Science(all)
  • Theoretical Computer Science

これを引用

Koyama, T., Nakayama, H., Ohara, K., Sei, T., & Takayama, N. (2014). Software packages for holonomic gradient method. : Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (巻 8592 LNCS, pp. 706-712). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); 巻数 8592 LNCS). Springer Verlag. https://doi.org/10.1007/978-3-662-44199-2_105

Software packages for holonomic gradient method. / Koyama, Tamio; Nakayama, Hiromasa; Ohara, Katsuyoshi; Sei, Tomonari; Takayama, Nobuki.

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 巻 8592 LNCS Springer Verlag, 2014. p. 706-712 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); 巻 8592 LNCS).

研究成果: Conference contribution

Koyama, T, Nakayama, H, Ohara, K, Sei, T & Takayama, N 2014, Software packages for holonomic gradient method. : Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 巻. 8592 LNCS, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 巻. 8592 LNCS, Springer Verlag, pp. 706-712, 4th International Congress on Mathematical Software, ICMS 2014, Seoul, Korea, Republic of, 14/8/5. https://doi.org/10.1007/978-3-662-44199-2_105
Koyama T, Nakayama H, Ohara K, Sei T, Takayama N. Software packages for holonomic gradient method. : Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 巻 8592 LNCS. Springer Verlag. 2014. p. 706-712. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/978-3-662-44199-2_105
Koyama, Tamio ; Nakayama, Hiromasa ; Ohara, Katsuyoshi ; Sei, Tomonari ; Takayama, Nobuki. / Software packages for holonomic gradient method. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 巻 8592 LNCS Springer Verlag, 2014. pp. 706-712 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
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