5 citations · 22 across the 12 of their papers we have counts for
5 papers · 1 filter
On the Computability of Continuous Maximum Entropy Distributions: Adjoint Orbits of Lie Groups
Jonathan Leake, Nisheeth K. Vishnoi
Given a point in the convex hull of a given adjoint orbit of a compact Lie group , we give a polynomial time algorithm to compute the probability density su…
Sampling Matrices from Harish-Chandra-Itzykson-Zuber Densities with Applications to Quantum Inference and Differential Privacy
Jonathan Leake, Colin S. McSwiggen, Nisheeth K. Vishnoi
Given two Hermitian matrices and , the Harish-Chandra-Itzykson-Zuber (HCIZ) distribution on the unitary group is , whe…
Lower bounds for contingency tables via Lorentzian polynomials
Petter Brändén, Jonathan Leake, Igor Pak
We present a new lower bound on the number of contingency tables, improving upon and extending previous lower bounds by Barvinok and Gurvits. As an application, we obtain new lower…
Capacity Lower Bounds via Productization
Leonid Gurvits, Jonathan Leake
We give a sharp lower bound on the capacity of a real stable polynomial, depending only on the value of its gradient at . This result implies a sharp improvement to a simila…
On the computability of continuous maximum entropy distributions with applications
Jonathan Leake, Nisheeth K. Vishnoi
We initiate a study of the following problem: Given a continuous domain along with its convex hull , a point and a prior measure on , fi…