35 citations · 62 across the 5 of their papers we have counts for
6 papers
Revisiting Block-Diagonal SDP Relaxations for the Clique Number of the Paley Graphs
Vladimir A. Kobzar, Krishnan Mody
This work addresses the block-diagonal semidefinite program (SDP) relaxations for the clique number of the Paley graphs. The size of the maximal clique (clique number) of a graph i…
The log-Characteristic Polynomial of Generalized Wigner Matrices is Log-Correlated
Krishnan Mody
We prove that in the limit of large dimension, the distribution of the logarithm of the characteristic polynomial of a generalized Wigner matrix converges to a log-correlated field…
Optimal local law and central limit theorem for -ensembles
Paul Bourgade, Krishnan Mody, Michel Pain
In the setting of generic -ensembles, we use the loop equation hierarchy to prove a local law with optimal error up to a constant, valid on any scale including microscopic. This…
Gaussian fluctuations of the determinant of Wigner Matrices
Paul Bourgade, Krishnan Mody
We prove that the logarithm of the determinant of a Wigner matrix satisfies a central limit theorem in the limit of large dimension. Previous results about fluctuations of such det…
Topological Data Analysis of Decision Boundaries with Application to Model Selection
Karthikeyan Natesan Ramamurthy, Kush R. Varshney, Krishnan Mody
We propose the labeled Čech complex, the plain labeled Vietoris-Rips complex, and the locally scaled labeled Vietoris-Rips complex to perform persistent homology inference of decis…
One Thousand and One Clusters: Measuring the Bulk Flow with the Planck ESZ and X-Ray Selected Galaxy Cluster Catalogs
Krishnan Mody, Amir Hajian
We present our measurement of the "bulk flow" using the kinetic Sunyaev-Zel'dovich (kSZ) effect in the WMAP 7-year data. As the tracer of peculiar velocities, we use Planck Early S…