activity
20202026
most cited-VFCA: -state Vector-valued Fuzzy Cellular Automata

2 citations · 3 across the 7 of their papers we have counts for

collaborators

8 papers

cs.DM2026

An Algorithm for Linear Parametric Minimum Cycle Mean Problem

Yuki Nishida

The minimum cycle mean problem (MCM) on weighted digraphs is the problem of finding the minimum value of the cycle mean, that is, the ratio of the cost to the length, over all cycl…

math.DS2026

Tropical linearization and stability analysis of discrete dynamical systems at the tropical origin }

Yuki Nishida, Sennosuke Watanabe, Yoshihide Watanabe

The tropical semiring is a semiring of extended real numbers, where the operations of `max' and `+' replace the usual addition and multiplication, respectively. Difference equation…

math.FA2025

Transformation from integral operator with separable kernel to matrix in eigenvalue problem

Soma Hirai, Ryoto Watanabe, Yuki Nishida +1

This paper investigates the eigenvalue problem of integral operators whose kernels can be expressed as a finite sum of pairwise products of single-variable functions, making them s…

math.OC2025

Combinatorial Algorithm for Tropical Linearly Factorized Programming

Yuki Nishida

The tropical semiring is an algebraic system with addition ``'' and multiplication ``''. As well as in conventional algebra, linear programming in the tropical semiring ha…

math.CO2024

On max-plus two-sided linear systems whose solution sets are min-plus linear

Yasutaka Ooga, Yuki Nishida, Yoshihide Watanabe

The max-plus algebra is defined in terms of a combination of the following two operations: addition, , and multiplication, $a…

math.OC2023

Algorithm for the CSR expansion of max-plus matrices using the characteristic polynomial

Yuki Nishida

Max-plus algebra is a semiring with addition and multiplication . It is applied in cases, such as combinatorial optimization and discrete…

math.CO2021★ 1 cited

Independence and orthogonality of algebraic eigenvectors over the max-plus algebra

Yuki Nishida, Sennosuke Watanabe, Yoshihide Watanabe

The max-plus algebra is a semiring with the two operations: addition and multiplication . Roots of the…

nlin.CG2020★ 2 cited

-VFCA: -state Vector-valued Fuzzy Cellular Automata

Yuki Nishida, Sennosuke Watanabe, Akiko Fukuda +1

Elementary fuzzy Cellular Automata (CA) are known as continuous counterpart of elementary CA, which are 2-state CA, via the polynomial representation of local rules. In this paper,…