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math.NA2023
Rate Constant Matrix Contraction Method for Stiff Master Equations with Detailed Balance
Satoru Iwata, Taihei Oki, Shinsaku Sakaue
This paper considers master equations for Markovian kinetic schemes that possess the detailed balance property. Chemical kinetics, as a prime example, often yields large-scale, hig…
math.CO2023
Algebraic combinatorial optimization on the degree of determinants of noncommutative symbolic matrices
Hiroshi Hirai, Yuni Iwamasa, Taihei Oki +1
We address the computation of the degrees of minors of a noncommutative symbolic matrix of form \[ A[c] := \sum_{k=1}^m A_k t^{c_k} x_k, \] where are matrices over a field $\…
cs.LG2023
Generalization Bound and Learning Methods for Data-Driven Projections in Linear Programming
Shinsaku Sakaue, Taihei Oki
How to solve high-dimensional linear programs (LPs) efficiently is a fundamental question. Recently, there has been a surge of interest in reducing LP sizes using random projection…