4 papers · 1 filter
Certifiable Near-Optimality: A Simple Framework for Unifying Search and Refutation for (Semi)random CSPs
Prashanti Anderson, Peter Manohar, Jeff Xu
A classical problem in average-case complexity is the study of random constraint satisfaction problems (CSPs). Random CSPs are traditionally studied in two different settings: refu…
A Simple Algorithm for Best Separable State
Prashanti Anderson, Samuel B. Hopkins, Amit Rajaraman
We study the best separable state problem (BSS), which asks for the maximum acceptance probability of a quantum measurement over unentangled states. In classical terms, the goal is…
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…
Dimension Reduction via Sum-of-Squares and Improved Clustering Algorithms for Non-Spherical Mixtures
Prashanti Anderson, Mitali Bafna, Rares-Darius Buhai +2
We develop a new approach for clustering non-spherical (i.e., arbitrary component covariances) Gaussian mixture models via a subroutine, based on the sum-of-squares method, that fi…