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math.CO2022
Two flags in a semimodular lattice generate an antimatroid
Koyo Hayashi, Hiroshi Hirai
A basic property in a modular lattice is that any two flags generate a distributive sublattice. It is shown (Abels 1991, Herscovic 1998) that two flags in a semimodular lattice no…
cs.DS2022
Finding Hall blockers by matrix scaling
Koyo Hayashi, Hiroshi Hirai, Keiya Sakabe
For a given nonnegative matrix , the matrix scaling problem asks whether can be scaled to a doubly stochastic matrix for some positive diagonal matrices $…
math.OC2022
Convex analysis on Hadamard spaces and scaling problems
Hiroshi Hirai
In this paper, we address the bounded/unbounded determination of geodesically convex optimization on Hadamard spaces. In Euclidean convex optimization, the recession function is a…