3 papers
cs.DS2026
Optimal chain density, entropy, and space-time tradeoffs for the TSP
Alexandr Andoni, Justin Dallant, László Kozma +1
We nearly settle a natural extremal question about set systems over : the tradeoff between the {size} (number of sets) and the number of {full chains}. This question was initi…
cs.DS2024
Statistical-Computational Trade-offs for Density Estimation
Anders Aamand, Alexandr Andoni, Justin Y. Chen +4
We study the density estimation problem defined as follows: given distributions over a discrete domain , as well as a collection of samples chosen from…
cs.DS2024
Faster Algorithms for Average-Case Orthogonal Vectors and Closest Pair Problems
Josh Alman, Alexandr Andoni, Hengjie Zhang
We study the average-case version of the Orthogonal Vectors problem, in which one is given as input vectors from which are chosen randomly so that each coordinate i…