51 citations · 127 across the 23 of their papers we have counts for
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Central Limit Theorem for Symmetric Exchangeable Random Variables
Ilya Soloveychik
A central limit theorem for arrays of symmetric row-wise exchangeable random variables is presented. The result is valid for finite and infinite extendable and non-extendable seque…
Asymptotically Pseudo-Independent Matrices
Ilya Soloveychik, Vahid Tarokh
We show that the family of pseudo-random matrices recently discovered by Soloveychik, Xiang, and Tarokh in their work `Symmetric Pseudo-Random Matrices' exhibits asymptotic indepen…
Large Deviations of Convex Polyominoes
Ilya Soloveychik, Vahid Tarokh
Enumeration of various types of lattice polygons and in particular polyominoes is of primary importance in many machine learning, pattern recognition, and geometric analysis proble…
On the Spectral Norms of Pseudo-Wigner and Related Matrices
Ilya Soloveychik, Vahid Tarokh
We investigate the spectral norms of symmetric matrices from two pseudo-random ensembles. The first is the pseudo-Wigner ensemble introduced in "Pseudo-Wigner Matrices…
A Note on the Concentration of Spectral Measure of Wigner's Matrices
Ilya Soloveychik, Vahid Tarokh
In this short note we derive concentration inequalities for the empirical absolute moments of square symmetric matrices with independent symmetrically distributed +/-1 entries. Mos…
Symmetric Pseudo-Random Matrices
Ilya Soloveychik, Yu Xiang, Vahid Tarokh
We consider the problem of generating symmetric pseudo-random sign (+/-1) matrices based on the similarity of their spectra to Wigner's semicircular law. Using binary m-sequences (…