6 papers · 1 filter
On feasibility problems with spectral constraints
Shravan Mohan
We study matrix feasibility problems "find X in K intersect C" where K is a closed convex matrix set and C = {X : sigma(X) in S} is defined by a convex constraint S on the ordered…
On a group of invariances in a class of functions
Shravan Mohan
A class of parametric functions formed by alternating compositions of multivariate polynomials and rectification style monomial maps is studied (the layer-wise exponents are treate…
A conjecture related to the Newman phase
Shravan Mohan
A conjecture is proposed concerning the recovery of a discrete magnitude spectrum through a nonlinear transformation involving the Newman's phase sequence. Given a discrete magnitu…
A note on finding optimal cut-offs
Shravan Mohan
This paper addresses the challenge of determining optimal cut-offs for a set of n items with m scores to maximize distinguishability. The term distinguishability is defined as the…
On extending the class of convex functions
Shravan Mohan
In this brief note, it is shown that the function p^TW log(p) is convex in p if W is a diagonally dominant positive definite M-matrix. The techniques used to prove convexity are we…
A note on the Bures-Wasserstein metric
Shravan Mohan
In this brief note, it is shown that the Bures-Wasserstein (BW) metric on the space positive definite matrices lends itself to convex optimization. In other words, the computation…