Nobuki Takayama

According to our database, Nobuki Takayama authored at least 27 papers between 1990 and 2021.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2021

Comparison of Numerical Solvers for Differential Equations for Holonomic Gradient Method in Statistics.

Nobuki Takayama, Takaharu Yaguchi, Yi Zhang

CoRR, 2021

Fast evaluation of some p-adic transcendental functions.

Xavier Caruso, Marc Mezzarobba, Nobuki Takayama, Tristan Vaccon

CoRR, 2021

2020

Computation of the expected Euler characteristic for the largest eigenvalue of a real non-central Wishart matrix.

Nobuki Takayama, Lin Jiu, Satoshi Kuriki, Yi Zhang

J. Multivar. Anal., 2020

Algorithms for Pfaffian Systems and Cohomology Intersection Numbers of Hypergeometric Integrals.

Saiei-Jaeyeong Matsubara-Heo, Nobuki Takayama

Proceedings of the Mathematical Software - ICMS 2020, 2020

2019

Computations of the Expected Euler Characteristic for the Largest Eigenvalue of a Real Wishart Matrix.

Nobuki Takayama, Lin Jiu, Satoshi Kuriki, Yi Zhang

CoRR, 2019

2018

Distribution of the ratio of two Wishart matrices and cumulative probability evaluation by the holonomic gradient method.

Hiroki Hashiguchi, Nobuki Takayama, Akimichi Takemura

J. Multivar. Anal., 2018

<i>A</i>-hypergeometric distributions and Newton polytopes.

Nobuki Takayama, Satoshi Kuriki, Akimichi Takemura

Adv. Appl. Math., 2018

2015

Pfaffian Systems of A-Hypergeometric Systems II - Holonomic Gradient Method.

Katsuyoshi Ohara, Nobuki Takayama

CoRR, 2015

2014

Holonomic gradient descent for the Fisher-Bingham distribution on the (d)-dimensional sphere.

Tamio Koyama, Hiromasa Nakayama, Kenta Nishiyama, Nobuki Takayama

Comput. Stat., 2014

Computing Bases of Twisted Cohomology Groups for Sparse Polynomials.

Takayuki Hibi, Kenta Nishiyama, Nobuki Takayama

ACM Commun. Comput. Algebra, 2014

Software Packages for Holonomic Gradient Method.

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

Proceedings of the Mathematical Software - ICMS 2014, 2014

2013

Properties and applications of Fisher distribution on the rotation group.

Tomonari Sei, Hiroki Shibata, Akimichi Takemura, Katsuyoshi Ohara, Nobuki Takayama

J. Multivar. Anal., 2013

The holonomic gradient method for the distribution function of the largest root of a Wishart matrix.

Hiroki Hashiguchi, Yasuhide Numata, Nobuki Takayama, Akimichi Takemura

J. Multivar. Anal., 2013

2012

Pfaffian Systems of A-Hypergeometric Equations

Takayuki Hibi, Kenta Nishiyama, Nobuki Takayama

CoRR, 2012

2011

Holonomic gradient descent and its application to the Fisher-Bingham integral.

Hiromasa Nakayama, Kenta Nishiyama, Masayuki Noro, Katsuyoshi Ohara, Tomonari Sei, Nobuki Takayama, Akimichi Takemura

Adv. Appl. Math., 2011

2010

Computing Differential Equations for Integrals Associated to Smooth Fano Polytopes

Hiromasa Nakayama, Nobuki Takayama

CoRR, 2010

2009

Solutions of polynomial systems derived from the steady cavity flow problem.

Martin Mevissen, Kosuke Yokoyama, Nobuki Takayama

Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2009

2006

Links to Projects. Mathematical Software, icms2006 - Developer's Meeting.

Masayuki Noro, Nobuki Takayama

Proceedings of the Mathematical Software, 2006

2005

Tangent cone algorithm for homogenized differential operators.

Michel Granger, Toshinori Oaku, Nobuki Takayama

J. Symb. Comput., 2005

2004

Editorial.

Arjeh M. Cohen, Xiao-Shan Gao, Nobuki Takayama

J. Symb. Comput., 2004

2003

Generating Kummer Type Formulas for Hypergeometric Functions.

Nobuki Takayama

Proceedings of the Algebra, Geometry, and Software Systems [outcome of a Dagstuhl seminar], 2003

2001

Minimal Free Resolutions of Homogenized D-modules.

Toshinori Oaku, Nobuki Takayama

J. Symb. Comput., 2001

2000

A Localization Algorithm for D-modules.

Toshinori Oaku, Nobuki Takayama, Uli Walther

J. Symb. Comput., 2000

1995

An Algorithm for Finding Recurrence Ralations of Binomial Sums and its Complexity.

Nobuki Takayama

J. Symb. Comput., 1995

1992

An Approach to the Zero Recognition Problem by Buchberger Algorithm.

Nobuki Takayama

J. Symb. Comput., 1992

1990

An Algorithm of Constructing the Integral of a Module - an Infinite Dimensional Analog of Gröbner Basis.

Nobuki Takayama

Proceedings of the International Symposium on Symbolic and Algebraic Computation, 1990

Gröbner Basis, Integration and Transcendental Functions.

Nobuki Takayama

Proceedings of the International Symposium on Symbolic and Algebraic Computation, 1990