16 citations · 28 across the 4 of their papers we have counts for
4 papers
Matrix positivity preservers in fixed dimension. II: positive definiteness and strict monotonicity of Schur function ratios
Alexander Belton, Dominique Guillot, Apoorva Khare +1
We continue the study of real polynomials acting entrywise on matrices of fixed dimension to preserve positive semidefiniteness, together with the related analysis of order propert…
Model-free consistency of graph partitioning
Peter Diao, Dominique Guillot, Apoorva Khare +1
In this paper, we exploit the theory of dense graph limits to provide a new framework to study the stability of graph partitioning methods, which we call structural consistency. Bo…
On fractional Hadamard powers of positive block matrices
Dominique Guillot, Apoorva Khare, Bala Rajaratnam
Entrywise powers of matrices have been well-studied in the literature, and have recently received renewed attention in the regularization of high-dimensional correlation matrices.…
Differential Calculus on Graphon Space
Peter Diao, Dominique Guillot, Apoorva Khare +1
Recently, the theory of dense graph limits has received attention from multiple disciplines including graph theory, computer science, statistical physics, probability, statistics,…