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ORCIDNobuki Takayama
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2020 – today
- 2024
[i8]Akihiro Sakoda, Nobuki Takayama:
An Application of the Holonomic Gradient Method to the Neural Tangent Kernel. CoRR abs/2410.23626 (2024)- 2021
- [i7]Xavier Caruso, Marc Mezzarobba, Nobuki Takayama, Tristan Vaccon:
Fast evaluation of some p-adic transcendental functions. CoRR abs/2106.09315 (2021) - [i6]Nobuki Takayama, Takaharu Yaguchi, Yi Zhang:
Comparison of Numerical Solvers for Differential Equations for Holonomic Gradient Method in Statistics. CoRR abs/2111.10947 (2021) - 2020
- [j14]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: 104642 (2020) - [c7]Saiei-Jaeyeong Matsubara-Heo, Nobuki Takayama:
Algorithms for Pfaffian Systems and Cohomology Intersection Numbers of Hypergeometric Integrals. ICMS 2020: 73-84
2010 – 2019
- 2019
- [i5]Nobuki Takayama, Lin Jiu, Satoshi Kuriki, Yi Zhang:
Computations of the Expected Euler Characteristic for the Largest Eigenvalue of a Real Wishart Matrix. CoRR abs/1903.10099 (2019) - 2018
- [j13]Nobuki Takayama, Satoshi Kuriki, Akimichi Takemura:
A-hypergeometric distributions and Newton polytopes. Adv. Appl. Math. 99: 109-133 (2018) - [j12]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: 270-278 (2018) - 2015
- [i4]Katsuyoshi Ohara, Nobuki Takayama:
Pfaffian Systems of A-Hypergeometric Systems II - Holonomic Gradient Method. CoRR abs/1505.02947 (2015) - 2014
- [j11]Takayuki Hibi, Kenta Nishiyama, Nobuki Takayama:
Computing Bases of Twisted Cohomology Groups for Sparse Polynomials. ACM Commun. Comput. Algebra 48(3/4): 118-120 (2014) - [j10]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): 661-683 (2014) - [c6]Tamio Koyama, Hiromasa Nakayama, Katsuyoshi Ohara, Tomonari Sei, Nobuki Takayama:
Software Packages for Holonomic Gradient Method. ICMS 2014: 706-712 - 2013
- [j9]Tomonari Sei, Hiroki Shibata, Akimichi Takemura, Katsuyoshi Ohara, Nobuki Takayama:
Properties and applications of Fisher distribution on the rotation group. J. Multivar. Anal. 116: 440-455 (2013) - [j8]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: 296-312 (2013) - 2012
- [i3]Takayuki Hibi, Kenta Nishiyama, Nobuki Takayama:
Pfaffian Systems of A-Hypergeometric Equations. CoRR abs/1212.6103 (2012) - 2011
- [j7]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): 639-658 (2011) - 2010
- [e3]Komei Fukuda, Joris van der Hoeven, Michael Joswig, Nobuki Takayama:
Mathematical Software - ICMS 2010, Third International Congress on Mathematical Software, Kobe, Japan, September 13-17, 2010. Proceedings. Lecture Notes in Computer Science 6327, Springer 2010, ISBN 978-3-642-15581-9 [contents] - [i2]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 abs/1005.5273 (2010) - [i1]Hiromasa Nakayama, Nobuki Takayama:
Computing Differential Equations for Integrals Associated to Smooth Fano Polytopes. CoRR abs/1012.5353 (2010)
2000 – 2009
- 2009
- [c5]Martin Mevissen, Kosuke Yokoyama, Nobuki Takayama:
Solutions of polynomial systems derived from the steady cavity flow problem. ISSAC 2009: 255-262 - 2006
- [c4]Masayuki Noro, Nobuki Takayama:
Links to Projects. Mathematical Software, icms2006 - Developer's Meeting. ICMS 2006: 438-450 - [e2]Andrés Iglesias, Nobuki Takayama:
Mathematical Software - ICMS 2006, Second International Congress on Mathematical Software, Castro Urdiales, Spain, September 1-3, 2006, Proceedings. Lecture Notes in Computer Science 4151, Springer 2006, ISBN 3-540-38084-1 [contents] - 2005
- [j6]Michel Granger, Toshinori Oaku, Nobuki Takayama:
Tangent cone algorithm for homogenized differential operators. J. Symb. Comput. 39(3-4): 417-431 (2005) - 2004
- [j5]Arjeh M. Cohen, Xiao-Shan Gao, Nobuki Takayama:
Editorial. J. Symb. Comput. 38(4): 1167-1168 (2004) - 2003
- [c3]Nobuki Takayama:
Generating Kummer Type Formulas for Hypergeometric Functions. Algebra, Geometry, and Software Systems 2003: 131-145 - [e1]Michael Joswig, Nobuki Takayama:
Algebra, Geometry, and Software Systems [outcome of a Dagstuhl seminar]. Springer 2003, ISBN 3-540-00256-1 [contents] - 2001
- [j4]Toshinori Oaku, Nobuki Takayama:
Minimal Free Resolutions of Homogenized D-modules. J. Symb. Comput. 32(6): 575-595 (2001) - 2000
- [j3]Toshinori Oaku, Nobuki Takayama, Uli Walther:
A Localization Algorithm for D-modules. J. Symb. Comput. 29(4-5): 721-728 (2000)
1990 – 1999
- 1995
- [j2]Nobuki Takayama:
An Algorithm for Finding Recurrence Ralations of Binomial Sums and its Complexity. J. Symb. Comput. 20(5/6): 637-651 (1995) - 1992
- [j1]Nobuki Takayama:
An Approach to the Zero Recognition Problem by Buchberger Algorithm. J. Symb. Comput. 14(2/3): 265-282 (1992) - 1990
- [c2]Nobuki Takayama:
Gröbner Basis, Integration and Transcendental Functions. ISSAC 1990: 152-156 - [c1]Nobuki Takayama:
An Algorithm of Constructing the Integral of a Module - an Infinite Dimensional Analog of Gröbner Basis. ISSAC 1990: 206-211
Coauthor Index
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