Recent advances in multi-pass graph streaming lower bounds

S Assadi - ACM SIGACT News, 2023 - dl.acm.org
Recent Advances in Multi-Pass Graph Streaming Lower Bounds Page 1 Recent Advances in
Multi-Pass Graph Streaming Lower Bounds Sepehr Assadi Cheriton School of Computer …

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 …

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 …

Approximability of all finite CSPs with linear sketches

CN Chou, A Golovnev, M Sudan… - 2021 IEEE 62nd …, 2022 - ieeexplore.ieee.org
A constraint satisfaction problem (CSP), Max-CSP(F), is specified by a finite set of
constraints F⊆{q^k→{0,1\}\} for positive integers q and k. An instance of the problem on n …

Improved streaming algorithms for Maximum Directed Cut via smoothed snapshots

RR Saxena, NG Singer, M Sudan… - 2023 IEEE 64th …, 2023 - ieeexplore.ieee.org
We give an O(n)-space single-pass 0.483-approximation streaming algorithm for estimating
the maximum directed cut size (Max-DICUT) in a directed graph on n vertices. This improves …

Streaming approximation resistance of every ordering CSP

NG Singer, M Sudan, S Velusamy - arXiv preprint arXiv:2105.01782, 2021 - arxiv.org
An ordering constraint satisfaction problem (OCSP) is defined by a family $\mathcal {F} $ of
predicates mapping permutations on $\{1,\ldots, k\} $ to $\{0, 1\} $. An instance of Max-OCSP …

Streaming and Sketching Complexity of CSPs: A Survey

M Sudan - arXiv preprint arXiv:2205.02744, 2022 - arxiv.org
In this survey we describe progress over the last decade or so in understanding the
complexity of solving constraint satisfaction problems (CSPs) approximately in the streaming …