Showing 2026Show all
3 papers · 1 filter
cs.DS2026
Strongly Refuting Semirandom Linear Systems in Subexponential Time
Pravesh K. Kothari, Andrew D. Lin, Peter Manohar
In this paper, we consider the problem of refuting -linear equations with random right-hand sides. Formally, we give a sub-exponential -time randomiz…
cs.IT2026
Lower Bounds for all List-Decodable Deletion Codes
Andrew D. Lin
A length- binary -deletion code is a set of binary strings such that if we delete any bits of a string, leaving a length- binary string, we can uniquely recover th…
cs.CC2026
An Approximate Cauchy-Schwarz Inequality and Improved Bounds for Sherali-Adams Refutation of Semirandom CSPs
Pravesh K. Kothari, Andrew D. Lin
We formulate an approximate Cauchy-Schwarz inequality and show that it is satisfied by solutions to the Sherali-Adams linear programming hierarchy (interpreted as ``pseudo-distribu…