H. Hirai

activity

20102026

most citedWeakly modular graphs and nonpositive curvature

54 citations · 123 across the 39 of their papers we have counts for

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2 papers · 1 filter

math.OC2025

Generalized gradient flows in Hadamard manifolds and convex optimization on entanglement polytopes

Hiroshi Hirai

In this paper, we address the optimization problem of minimizing $Q (d f_{x})$ over a Hadamard manifold $M$ , where $f$ is a convex function on $M$ , $d f_{x}$ is the differen…

math.OC2025

A scaling characterization of nc-rank via unbounded gradient flow

Hiroshi Hirai

Given a tuple of $n \times n$ complex matrices $A = (A_{1}, A_{2}, \dots, A_{m})$ , the linear symbolic matrix $A = A_{1} x_{1} + A_{2} x_{2} + \dots + A_{m} x_{m}$ is nonsingular in the noncomm…