71 citations · 300 across the 27 of their papers we have counts for
4 papers · 1 filter
Preserving positivity for matrices with sparsity constraints
Dominique Guillot, Apoorva Khare, Bala Rajaratnam
Functions preserving Loewner positivity when applied entrywise to positive semidefinite matrices have been widely studied in the literature. Following the work of Schoenberg [Duke…
Preserving positivity for rank-constrained matrices
Dominique Guillot, Apoorva Khare, Bala Rajaratnam
Entrywise functions preserving the cone of positive semidefinite matrices have been studied by many authors, most notably by Schoenberg [Duke Math. J. 9, 1942] and Rudin [Duke Math…
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,…