Nobuki Takayama

Publication Activity (10 Years)

Years Active: 1990-2021
Publications (10 Years): 8

Top Topics

Positive Definite

Gradient Method

Distribution Function

Software Packages

Top Venues

J. Multivar. Anal.

Adv. Appl. Math.

Publications

Nobuki Takayama, Takaharu Yaguchi, Yi Zhang
Comparison of Numerical Solvers for Differential Equations for Holonomic Gradient Method in Statistics. CoRR (2021)
Xavier Caruso, Marc Mezzarobba, Nobuki Takayama, Tristan Vaccon
Fast evaluation of some p-adic transcendental functions. CoRR (2021)
Saiei-Jaeyeong Matsubara-Heo, Nobuki Takayama
Algorithms for Pfaffian Systems and Cohomology Intersection Numbers of Hypergeometric Integrals. ICMS (2020)
Nobuki Takayama, Lin Jiu, Satoshi Kuriki, Yi Zhang
Computation of the expected Euler characteristic for the largest eigenvalue of a real non-central Wishart matrix. J. Multivar. Anal. 179 (2020)
Nobuki Takayama, Lin Jiu, Satoshi Kuriki, Yi Zhang
Computations of the Expected Euler Characteristic for the Largest Eigenvalue of a Real Wishart Matrix. CoRR (2019)
Hiroki Hashiguchi, Nobuki Takayama, Akimichi Takemura
Distribution of the ratio of two Wishart matrices and cumulative probability evaluation by the holonomic gradient method. J. Multivar. Anal. 165 (2018)
Nobuki Takayama, Satoshi Kuriki, Akimichi Takemura
-hypergeometric distributions and Newton polytopes. Adv. Appl. Math. 99 (2018)
Katsuyoshi Ohara, Nobuki Takayama
Pfaffian Systems of A-Hypergeometric Systems II - Holonomic Gradient Method. CoRR (2015)
Tamio Koyama, Hiromasa Nakayama, Kenta Nishiyama, Nobuki Takayama
Holonomic gradient descent for the Fisher-Bingham distribution on the (d)-dimensional sphere. Comput. Stat. 29 (3) (2014)
Tamio Koyama, Hiromasa Nakayama, Katsuyoshi Ohara, Tomonari Sei, Nobuki Takayama
Software Packages for Holonomic Gradient Method. ICMS (2014)
Takayuki Hibi, Kenta Nishiyama, Nobuki Takayama
Computing Bases of Twisted Cohomology Groups for Sparse Polynomials. ACM Commun. Comput. Algebra 48 (3/4) (2014)
Hiroki Hashiguchi, Yasuhide Numata, Nobuki Takayama, Akimichi Takemura
The holonomic gradient method for the distribution function of the largest root of a Wishart matrix. J. Multivar. Anal. 117 (2013)
Tomonari Sei, Hiroki Shibata, Akimichi Takemura, Katsuyoshi Ohara, Nobuki Takayama
Properties and applications of Fisher distribution on the rotation group. J. Multivar. Anal. 116 (2013)
Takayuki Hibi, Kenta Nishiyama, Nobuki Takayama
Pfaffian Systems of A-Hypergeometric Equations CoRR (2012)
Hiromasa Nakayama, Kenta Nishiyama, Masayuki Noro, Katsuyoshi Ohara, Tomonari Sei, Nobuki Takayama, Akimichi Takemura
Holonomic gradient descent and its application to the Fisher-Bingham integral. Adv. Appl. Math. 47 (3) (2011)
Tomonari Sei, Nobuki Takayama, Akimichi Takemura, Hiromasa Nakayama, Kenta Nishiyama, Masayuki Noro, Katsuyoshi Ohara
Holonomic Gradient Descent and its Application to Fisher-Bingham Integral CoRR (2010)
Hiromasa Nakayama, Nobuki Takayama
Computing Differential Equations for Integrals Associated to Smooth Fano Polytopes CoRR (2010)
Martin Mevissen, Kosuke Yokoyama, Nobuki Takayama
Solutions of polynomial systems derived from the steady cavity flow problem. ISSAC (2009)
Masayuki Noro, Nobuki Takayama
Links to Projects. Mathematical Software, icms2006 - Developer's Meeting. ICMS (2006)
Michel Granger, Toshinori Oaku, Nobuki Takayama
Tangent cone algorithm for homogenized differential operators. J. Symb. Comput. 39 (3-4) (2005)
Arjeh M. Cohen, Xiao-Shan Gao, Nobuki Takayama
Editorial. J. Symb. Comput. 38 (4) (2004)
Nobuki Takayama
Generating Kummer Type Formulas for Hypergeometric Functions. Algebra, Geometry, and Software Systems (2003)
Toshinori Oaku, Nobuki Takayama
Minimal Free Resolutions of Homogenized D-modules. J. Symb. Comput. 32 (6) (2001)
Toshinori Oaku, Nobuki Takayama, Uli Walther
A Localization Algorithm for D-modules. J. Symb. Comput. 29 (4-5) (2000)
Nobuki Takayama
An Algorithm for Finding Recurrence Ralations of Binomial Sums and its Complexity. J. Symb. Comput. 20 (5/6) (1995)
Nobuki Takayama
An Approach to the Zero Recognition Problem by Buchberger Algorithm. J. Symb. Comput. 14 (2/3) (1992)
Nobuki Takayama
Gröbner Basis, Integration and Transcendental Functions. ISSAC (1990)
Nobuki Takayama
An Algorithm of Constructing the Integral of a Module - an Infinite Dimensional Analog of Gröbner Basis. ISSAC (1990)