6 papers
Streaming Algorithms for Monotonicity Testing
Amir Azarmehr, Soheil Behnezhad, Lily Chung +3
Consider a poset - or equivalently an -vertex DAG - and a boolean function on its vertex set. We say is monotone if f…
Caterpillar of Thoughts: The Optimal Test-Time Algorithm for Large Language Models
Amir Azarmehr, Soheil Behnezhad, Alma Ghafari
Large language models (LLMs) can often produce substantially better outputs when allowed to use additional test-time computation, such as sampling, chain of thought, backtracking,…
Markov Chains with Rewinding
Amir Azarmehr, Soheil Behnezhad, Alma Ghafari +1
Motivated by techniques developed in recent progress on lower bounds for sublinear time algorithms (Behnezhad, Roghani and Rubinstein, STOC 2023, FOCS 2023, and STOC 2024) we intro…
Correlation Clustering Beyond the Pivot Algorithm
Soheil Behnezhad, Moses Charikar, Vincent Cohen-Addad +2
We study the classic correlation clustering in the dynamic setting. Given objects and a complete labeling of the object-pairs as either similar or dissimilar, the goal is to pa…
Stochastic Matching via In-n-Out Local Computation Algorithms
Amir Azarmehr, Soheil Behnezhad, Alma Ghafari +1
Consider the following stochastic matching problem. Given a graph , an unknown subgraph is realized where includes every edge of independently…
Lower Bounds for Non-adaptive Local Computation Algorithms
Amir Azarmehr, Soheil Behnezhad, Alma Ghafari +1
We study *non-adaptive* Local Computation Algorithms (LCA). A reduction of Parnas and Ron (TCS'07) turns any distributed algorithm into a non-adaptive LCA. Plugging known distribut…