Nobuki Takayama

Algorithms for D-modules — restriction, tensor product, localization, and local cohomology groups

Toshinori Ôaku, Nobuki Takayama · Journal of Pure and Applied Algebra · 2001 · 92 citations

Schubert Calculus, Representation Theory, D-modules — Restriction +4

Holonomic gradient descent and its application to the Fisher–Bingham integral

Hiromasa Nakayama, Kenta Nishiyama, Masayuki Noro et al. · Advances in Applied Mathematics · 2011 · 81 citations

Numerical Analysis, Engineering, Machine Learning +4

Gröbner basis and the problem of contiguous relations

Nobuki Takayama · Japan Journal of Applied Mathematics · 1989 · 79 citations

Algebraic Combinatorics, Universal Algebra, Representation Theory +1

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

Hiroki Hashiguchi, Yasuhide Numata, Nobuki Takayama et al. · Journal of Multivariate Analysis · 2013 · 65 citations

Numerical Analysis, Mathematical Programming, Holonomic Gradient Method +10

An algorithm for de Rham cohomology groups of the complement of an affine variety via D-module computation

Toshinori Ôaku, Nobuki Takayama · Journal of Pure and Applied Algebra · 1999 · 59 citations

Schubert Calculus, Affine Variety, Projective Geometry +4