6 citations · 15 across the 16 of their papers we have counts for
5 papers · 1 filter
Linear Principal Minor Polynomials: Hyperbolic Determinantal Inequalities and Spectral Containment
Grigoriy Blekherman, Mario Kummer, Raman Sanyal +2
A linear principal minor polynomial or lpm polynomial is a linear combination of principal minors of a symmetric matrix. By restricting to the diagonal, lpm polynomials are in bije…
On the computational equivalence of co-NP refutations of a matrix being a P-matrix
Spencer Gordon, Kevin Shu
A P-matrix is a square matrix such that all principal submatrices of have positive determinant. Such matrices appear naturally in instances of the linear complementarity pr…
Approximate PSD-Completion for Generalized Chordal Graphs
Kevin Shu
Recently, there has been interest in the question of whether a partial matrix in which many of the fully defined principal submatrices are PSD is approximately PSD completable. The…
Extreme Nonnegative Quadratics over Stanley Reisner Varieties
Kevin Shu
We consider the convex geometry of the cone of nonnegative quadratics over Stanley-Reisner varieties. Stanley-Reisner varieties (which are unions of coordinate planes) are amongst…
Causal Channels
Kevin Shu
We consider causal models with two observed variables and one latent variables, each variable being discrete, with the goal of characterizing the possible distributions on outcomes…