54 citations · 123 across the 39 of their papers we have counts for
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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 $\…
math.OC2023★ 9 cited
Interior-point methods on manifolds: theory and applications
Hiroshi Hirai, Harold Nieuwboer, Michael Walter
Interior-point methods offer a highly versatile framework for convex optimization that is effective in theory and practice. A key notion in their theory is that of a self-concordan…
cs.GT2023
Polyhedral Clinching Auctions for Indivisible Goods
Hiroshi Hirai, Ryosuke Sato
In this study, we propose the polyhedral clinching auction for indivisible goods, which has so far been studied for divisible goods. As in the divisible setting by Goel et al. (201…