4 papers
Faster MAX-CUT on Bounded Threshold Rank Graphs
Prashanti Anderson, Samuel B. Hopkins, Amit Rajaraman +1
We design new algorithms for approximating 2CSPs on graphs with bounded threshold rank, that is, whose normalized adjacency matrix has few eigenvalues larger than , sm…
Eigenvalue Bounds for Random Matrices via Zerofreeness
Sidhanth Mohanty, Amit Rajaraman
We introduce a new technique to prove bounds for the spectral radius of a random matrix, based on using Jensen's formula to establish the zerofreeness of the associated characteris…
The Fundamental Limits of Recovering Planted Subgraphs
Daniel Lee, Francisco Pernice, Amit Rajaraman +1
Given an arbitrary subgraph and , the planted subgraph model is defined as follows. A statistician observes the union a random copy of , together…
Weak Poincaré Inequalities, Simulated Annealing, and Sampling from Spherical Spin Glasses
Brice Huang, Sidhanth Mohanty, Amit Rajaraman +1
There has been a recent surge of powerful tools to show rapid mixing of Markov chains, via functional inequalities such as Poincaré inequalities. In many situations, Markov chains…