3 papers
cs.LG2026
Non-negative Matrix Factorisation with Topological Regularisation
Matias de Jong van Lier, Shizuo Kaji, Keunsu Kim
Non-negative matrix factorisation (NMF) learns additive representations from data, but non-negativity alone does not ensure interpretable basis functions. We introduce Top-NMF, whi…
math.DS2026
Polynomial Interpolation of a Vector Field on a Convex Polyhedral Domain
Junyan Chu, Shizuo Kaji
We develop a method for reconstructing polynomial vector fields from discrete velocity samples on a convex polyhedral domain under an exact no-penetration boundary condition. For a…
math.DG2025
Polyhedra of Constant Gaussian Curvature
Soto Hisakawa, Shizuo Kaji, Ryo Kawai
Topology and geometry are deeply intertwined in the study of surfaces, though their interaction manifests differently in smooth and discrete settings. In the smooth category, a cla…