Graph streaming lower bounds for parameter estimation and property testing via a streaming XOR lemma

S Assadi, VN - Proceedings of the 53rd Annual ACM SIGACT …, 2021 - dl.acm.org
We study space-pass tradeoffs in graph streaming algorithms for parameter estimation and
property testing problems such as estimating the size of maximum matchings and maximum …

Streaming algorithms and lower bounds for estimating correlation clustering cost

S Assadi, V Shah, C Wang - Advances in Neural …, 2023 - proceedings.neurips.cc
Correlation clustering is a fundamental optimization problem at the intersection of machine
learning and theoretical computer science. Motivated by applications to big data processing …

Multi-pass graph streaming lower bounds for cycle counting, max-cut, matching size, and other problems

S Assadi, G Kol, RR Saxena… - 2020 IEEE 61st Annual …, 2020 - ieeexplore.ieee.org
Consider the following gap cycle counting problem in the streaming model: The edges of a 2-
regular n-vertex graph G are arriving one-by-one in a stream and we are promised that G is …

(Noisy) gap cycle counting strikes back: Random order streaming lower bounds for connected components and beyond

S Assadi, J Sundaresan - Proceedings of the 55th Annual ACM …, 2023 - dl.acm.org
We continue the study of the communication complexity of gap cycle counting problems.
These problems have been introduced by Verbin and Yu [SODA 2011] and have found …

Hierarchical clustering in graph streams: Single-pass algorithms and space lower bounds

S Assadi, V Chatziafratis, V Mirrokni… - … on Learning Theory, 2022 - proceedings.mlr.press
Abstract The Hierarchical Clustering (HC) problem consists of building a hierarchy of
clusters to represent a given dataset. Motivated by the modern large-scale applications, we …

Optimal streaming approximations for all boolean max-2csps and max-ksat

CN Chou, A Golovnev… - 2020 IEEE 61st Annual …, 2020 - ieeexplore.ieee.org
We prove tight upper and lower bounds on approximation ratios of all Boolean Max-2CSP
problems in the streaming model. Specifically, for every type of Max-2CSP problem, we give …

Towards Multi-Pass Streaming Lower Bounds for Optimal Approximation of Max-Cut

L Chen, G Kol, D Paramonov, RR Saxena, Z Song… - Proceedings of the 2023 …, 2023 - SIAM
We consider the Max-Cut problem, asking how much space is needed by a streaming
algorithm in order to estimate the value of the maximum cut in a graph. This problem has …

Linear space streaming lower bounds for approximating CSPs

CN Chou, A Golovnev, M Sudan, A Velingker… - Proceedings of the 54th …, 2022 - dl.acm.org
We consider the approximability of constraint satisfaction problems in the streaming setting.
For every constraint satisfaction problem (CSP) on n variables taking values in {0,…, q− 1} …

Oblivious algorithms for the Max-AND Problem

NG Singer - arXiv preprint arXiv:2305.04438, 2023 - arxiv.org
Motivated by recent works on streaming algorithms for constraint satisfaction problems
(CSPs), we define and analyze oblivious algorithms for the Max-$ k $ AND problem. This …

Streaming complexity of CSPs with randomly ordered constraints

RR Saxena, N Singer, M Sudan, S Velusamy - … of the 2023 Annual ACM-SIAM …, 2023 - SIAM
We initiate a study of the streaming complexity of constraint satisfaction problems (CSPs)
when the constraints arrive in a random order. We show that there exists a CSP, namely Max …