6 papers
Secretary, Prophet, and Stochastic Probing via Big-Decisions-First
Aviad Rubinstein, Sahil Singla
We revisit three fundamental problems in algorithms under uncertainty: the Secretary Problem, Prophet Inequality, and Stochastic Probing, each subject to general downward-closed co…
Approximating Gains-from-Trade in Matching Markets
Moshe Babaioff, Aviad Rubinstein, Xizhi Tan +1
A central challenge in mechanism design is to develop truthful trade mechanisms that maximize the expected gains-from-trade (GFT) in two-sided markets with strategic agents. As ach…
Approximation Schemes for Edit Distance and LCS in Quasi-Strongly Subquadratic Time
Xiao Mao, Aviad Rubinstein
We present novel randomized approximation schemes for the Edit Distance (ED) problem and the Longest Common Subsequence (LCS) problem that, for any constant , compute a $(1+ε)…
Tight Pair Query Lower Bounds for Matching and Earth Mover's Distance
Amir Azarmehr, Soheil Behnezhad, Mohammad Roghani +1
How many adjacency matrix queries (also known as pair queries) are required to estimate the size of a maximum matching in an -vertex graph ? We study this fundamental questio…
Hardness of Approximate Sperner and Applications to Envy-Free Cake Cutting
Ruiquan Gao, Mohammad Roghani, Aviad Rubinstein +1
Given a so called ''Sperner coloring'' of a triangulation of the -dimensional simplex, Sperner's lemma guarantees the existence of a rainbow simplex, i.e. a simplex colored by a…
Parallel Sampling via Counting
Nima Anari, Ruiquan Gao, Aviad Rubinstein
We show how to use parallelization to speed up sampling from an arbitrary distribution on a product space , given oracle access to counting queries: $\mathbb{P}_{X\sim μ…