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math.PR2024
Convergence, optimization and stability of singular eigenmaps
Bernard Akwei, Bobita Atkins, Rachel Bailey +9
Eigenmaps are important in analysis, geometry, and machine learning, especially in nonlinear dimension reduction. Approximation of the eigenmaps of a Laplace operator depends cruci…
math.CO2024
Diverse beam search to find densest-known planar unit distance graphs
Peter Engel, Owen Hammond-Lee, Yiheng Su +2
This paper addresses the problem of determining the maximum number of edges in a unit distance graph (UDG) of vertices using computer search. An unsolved problem of Paul Erdős…