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We consider the problem of finding a minimum cut of a weighted graph presented as a single-pass stream. While graph sparsification in streams has been intensively studied, the specific application of finding minimum cuts in streams is less…

Data Structures and Algorithms · Computer Science 2024-12-09 Matthew Ding , Alexandro Garces , Jason Li , Honghao Lin , Jelani Nelson , Vihan Shah , David P. Woodruff

We study the classic NP-Hard problem of finding the maximum $k$-set coverage in the data stream model: given a set system of $m$ sets that are subsets of a universe $\{1,\ldots,n \}$, find the $k$ sets that cover the most number of distinct…

Data Structures and Algorithms · Computer Science 2018-05-11 Andrew McGregor , Hoa T. Vu

Attention computation takes both the time complexity of $O(n^2)$ and the space complexity of $O(n^2)$ simultaneously, which makes deploying Large Language Models (LLMs) in streaming applications that involve long contexts requiring…

Machine Learning · Computer Science 2024-02-06 Raghav Addanki , Chenyang Li , Zhao Song , Chiwun Yang

We present a deterministic $(1+\varepsilon)$-approximate maximum matching algorithm in $\mathsf{poly} 1/\varepsilon$ passes in the semi-streaming model, solving the long-standing open problem of breaking the exponential barrier in the…

Data Structures and Algorithms · Computer Science 2024-04-03 Manuela Fischer , Slobodan Mitrović , Jara Uitto

We explore the use of local algorithms in the design of streaming algorithms for the Maximum Directed Cut problem. Specifically, building on the local algorithm of Buchbinder et al. (FOCS'12) and Censor-Hillel et al. (ALGOSENSORS'17), we…

Data Structures and Algorithms · Computer Science 2024-12-02 Raghuvansh R. Saxena , Noah G. Singer , Madhu Sudan , Santhoshini Velusamy

In the online matching on the line problem, the task is to match a set of requests $R$ online to a given set of servers $S$. The distance metric between any two points in $R\,\cup\, S$ is a line metric and the objective for the online…

Data Structures and Algorithms · Computer Science 2017-12-20 Antonios Antoniadis , Carsten Fischer , Andreas Tönnis

Recent progress in (semi-)streaming algorithms for monotone submodular function maximization has led to tight results for a simple cardinality constraint. However, current techniques fail to give a similar understanding for natural…

Data Structures and Algorithms · Computer Science 2022-02-17 Moran Feldman , Paul Liu , Ashkan Norouzi-Fard , Ola Svensson , Rico Zenklusen

We consider the \textsf{Unit Interval Selection} problem in the one-pass random order streaming model. Here, an algorithm is presented a sequence of $n$ unit-length intervals on the line that arrive in uniform random order, and the…

Data Structures and Algorithms · Computer Science 2026-03-11 Cezar-Mihail Alexandru , Adithya Diddapur , Magnús M. Halldórsson , Christian Konrad , Kheeran K. Naidu

We study the problem of solving semidefinite programs (SDP) in the streaming model. Specifically, $m$ constraint matrices and a target matrix $C$, all of size $n\times n$ together with a vector $b\in \mathbb{R}^m$ are streamed to us…

Data Structures and Algorithms · Computer Science 2023-09-12 Zhao Song , Mingquan Ye , Lichen Zhang

Finding dense subgraphs is a fundamental algorithmic tool in data mining, community detection, and clustering. In this problem, one aims to find an induced subgraph whose edge-to-vertex ratio is maximized. We study the directed case of this…

Data Structures and Algorithms · Computer Science 2023-11-21 Slobodan Mitrović , Theodore Pan

In the online learning with experts problem, an algorithm must make a prediction about an outcome on each of $T$ days (or times), given a set of $n$ experts who make predictions on each day (or time). The algorithm is given feedback on the…

Data Structures and Algorithms · Computer Science 2023-03-06 David P. Woodruff , Fred Zhang , Samson Zhou

We study the problem of validating XML documents of size $N$ against general DTDs in the context of streaming algorithms. The starting point of this work is a well-known space lower bound. There are XML documents and DTDs for which $p$-pass…

Data Structures and Algorithms · Computer Science 2011-08-19 Christian Konrad , Frederic Magniez

We investigate the problem of deterministic pattern matching in multiple streams. In this model, one symbol arrives at a time and is associated with one of s streaming texts. The task at each time step is to report if there is a new match…

Data Structures and Algorithms · Computer Science 2012-04-26 Raphael Clifford , Markus Jalsenius , Ely Porat , Benjamin Sach

We show a dichotomy result for $p$-pass streaming algorithms for all CSPs and for up to polynomially many passes. More precisely, we prove that for any arity parameter $k$, finite alphabet $\Sigma$, collection $\mathcal{F}$ of $k$-ary…

Computational Complexity · Computer Science 2026-04-03 Yumou Fei , Dor Minzer , Shuo Wang

Submodular maximization is one of the central topics in combinatorial optimization. It has found numerous applications in the real world. Streaming algorithms for submodule maximization have gained attention in recent years, allowing for…

Data Structures and Algorithms · Computer Science 2023-11-08 Xiaoming Sun , Jialin Zhang , Shuo Zhang

We give the first single-pass streaming algorithm for Column Subset Selection with respect to the entrywise $\ell_p$-norm with $1 \leq p < 2$. We study the $\ell_p$ norm loss since it is often considered more robust to noise than the…

Data Structures and Algorithms · Computer Science 2021-07-19 Shuli Jiang , Dongyu Li , Irene Mengze Li , Arvind V. Mahankali , David P. Woodruff

We study which property testing and sublinear time algorithms can be transformed into graph streaming algorithms for random order streams. Our main result is that for bounded degree graphs, any property that is constant-query testable in…

Data Structures and Algorithms · Computer Science 2017-07-25 Morteza Monemizadeh , S. Muthukrishnan , Pan Peng , Christian Sohler

We study learning-augmented streaming algorithms for estimating the value of MAX-CUT in a graph. In the classical streaming model, while a $1/2$-approximation for estimating the value of MAX-CUT can be trivially achieved with $O(1)$ words…

Data Structures and Algorithms · Computer Science 2025-01-07 Yinhao Dong , Pan Peng , Ali Vakilian

Leader election is, together with consensus, one of the most central problems in distributed computing. This paper presents a distributed algorithm, called \STT, for electing deterministically a leader in an arbitrary network, assuming…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-09-10 Arnaud Casteigts , Yves Métivier , John Michael Robson , Akka Zemmari

In this paper, we study streaming algorithms that minimize the number of changes made to their internal state (i.e., memory contents). While the design of streaming algorithms typically focuses on minimizing space and update time, these…

Data Structures and Algorithms · Computer Science 2024-06-12 Rajesh Jayaram , David P. Woodruff , Samson Zhou