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With the explosion of the size of digital dataset, the limiting factor for decomposition algorithms is the \emph{number of passes} over the input, as the input is often stored out-of-core or even off-site. Moreover, we're only interested in…

Numerical Analysis · Computer Science 2016-08-14 Radim Řeh{ů}řek

We initiate the study of the Maximal Matching problem in bounded-deletion graph streams. In this setting, a graph $G$ is revealed as an arbitrary sequence of edge insertions and deletions, where the number of insertions is unrestricted but…

Data Structures and Algorithms · Computer Science 2025-02-24 Sanjeev Khanna , Christian Konrad , Jacques Dark

We study the problem of distributed distinct element estimation, where $\alpha$ servers each receive a subset of a universe $[n]$ and aim to compute a $(1+\varepsilon)$-approximation to the number of distinct elements using minimal…

Data Structures and Algorithms · Computer Science 2025-07-01 Ilias Diakonikolas , Daniel M. Kane , Jasper C. H. Lee , Thanasis Pittas , David P. Woodruff , Samson Zhou

In a $k$-party communication problem, the $k$ players with inputs $x_1, x_2, \ldots, x_k$, respectively, want to evaluate a function $f(x_1, x_2, \ldots, x_k)$ using as little communication as possible. We consider the message-passing…

Computational Complexity · Computer Science 2021-12-01 Elbert Du , Michael Mitzenmacher , David P. Woodruff , Guang Yang

Space complexity is a critical factor in various computational models, including streaming, parallel/distributed computing, and communication complexity. We study the space complexity of the minimum-cost flow problem, a generalization of…

Data Structures and Algorithms · Computer Science 2026-05-12 Jan van den Brand , Zhao Song , Albert Weng

In a streaming constraint satisfaction problem (streaming CSP), a $p$-pass algorithm receives the constraints of an instance sequentially, making $p$ passes over the input in a fixed order, with the goal of approximating the maximum…

Computational Complexity · Computer Science 2026-04-06 Yumou Fei , Dor Minzer , Shuo Wang

We present an algorithm for computing $F_p$, the $p$th moment of an $n$-dimensional frequency vector of a data stream, for $2 < p < \log (n) $, to within $1\pm \epsilon$ factors, $\epsilon \in [n^{-1/p},1]$ with high constant probability.…

Data Structures and Algorithms · Computer Science 2015-03-19 Sumit Ganguly

We propose an online debiased lasso (ODL) method for statistical inference in high-dimensional linear models with streaming data. The proposed ODL consists of an efficient computational algorithm for streaming data and approximately normal…

Statistics Theory · Mathematics 2021-08-20 Ruijian Han , Lan Luo , Yuanyuan Lin , Jian Huang

This paper studies the classic problem of finding heavy hitters in the turnstile streaming model. We give the first deterministic linear sketch that has $O(\epsilon^{-2} \log n \cdot \log^*(\epsilon^{-1}))$ rows and answers queries in…

Data Structures and Algorithms · Computer Science 2018-06-13 Yi Li , Vasileios Nakos

In this paper, we present a new algorithm for maintaining linear sketches in turnstile streams with faster update time. As an application, we show that $\log n$ \texttt{Count} sketches or \texttt{CountMin} sketches with a constant number of…

Data Structures and Algorithms · Computer Science 2019-11-05 Josh Alman , Huacheng Yu

We study fundamental directed graph (digraph) problems in the streaming model. An initial investigation by Chakrabarti, Ghosh, McGregor, and Vorotnikova [SODA'20] on streaming digraphs showed that while most of these problems are provably…

Data Structures and Algorithms · Computer Science 2024-05-10 Prantar Ghosh , Sahil Kuchlous

The problem of finding locally dense components of a graph is an important primitive in data analysis, with wide-ranging applications from community mining to spam detection and the discovery of biological network modules. In this paper we…

Databases · Computer Science 2012-02-01 Bahman Bahmani , Ravi Kumar , Sergei Vassilvitskii

In this paper, we present near-optimal space bounds for Lp-samplers. Given a stream of updates (additions and subtraction) to the coordinates of an underlying vector x \in R^n, a perfect Lp sampler outputs the i-th coordinate with…

Data Structures and Algorithms · Computer Science 2010-12-23 Hossein Jowhari , Mert Sağlam , Gábor Tardos

Data stream algorithms tackle operations on high-volume sequences of read-once data items. Data stream scenarios include inherently real-time systems like sensor networks and financial markets. They also arise in purely-computational…

Data Structures and Algorithms · Computer Science 2024-03-04 Matthew Andres Moreno , Santiago Rodriguez Papa , Emily Dolson

Analyzing massive data sets has been one of the key motivations for studying streaming algorithms. In recent years, there has been significant progress in analysing distributions in a streaming setting, but the progress on graph problems…

Data Structures and Algorithms · Computer Science 2009-05-05 Kook Jin Ahn , Sudipto Guha

We say a turnstile streaming algorithm is "non-adaptive" if, during updates, the memory cells written and read depend only on the index being updated and random coins tossed at the beginning of the stream (and not on the memory contents of…

Data Structures and Algorithms · Computer Science 2014-07-09 Kasper Green Larsen , Jelani Nelson , Huy L. Nguyen

We consider the problem of estimating the value of MAX-CUT in a graph in the streaming model of computation. At one extreme, there is a trivial $2$-approximation for this problem that uses only $O(\log n)$ space, namely, count the number of…

Data Structures and Algorithms · Computer Science 2018-11-28 Michael Kapralov , Dmitry Krachun

The problem of (approximately) counting the number of triangles in a graph is one of the basic problems in graph theory. In this paper we study the problem in the streaming model. We study the amount of memory required by a randomized…

Data Structures and Algorithms · Computer Science 2013-04-05 Vladimir Braverman , Rafail Ostrovsky , Dan Vilenchik

In this paper we introduce and study the \textsc{StreamingCycles} problem, a random order streaming version of the Boolean Hidden Hypermatching problem that has been instrumental in streaming lower bounds over the past decade. In this…

Data Structures and Algorithms · Computer Science 2022-09-21 Ashish Chiplunkar , John Kallaugher , Michael Kapralov , Eric Price

Streaming is a model where an input graph is provided one edge at a time, instead of being able to inspect it at will. In this work, we take a parameterized approach by assuming a vertex cover of the graph is given, building on work of…

Data Structures and Algorithms · Computer Science 2021-11-22 Jelle J. Oostveen , Erik Jan van Leeuwen
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