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As more data are produced each day, and faster, data stream mining is growing in importance, making clear the need for algorithms able to fast process these data. Data stream mining algorithms are meant to be solutions to extract knowledge…

We present semi-streaming algorithms for basic graph problems that have optimal per-edge processing times and therefore surpass all previous semi-streaming algorithms for these tasks. The semi-streaming model, which is appropriate when…

Discrete Mathematics · Computer Science 2007-09-03 Mariano Zelke

In recent years, the problem of computing the frequencies of the induced $k$-vertex subgraphs of a graph, or \emph{$k$-graphlets}, has become central. One approach for this problem is to sample $k$-graphlets randomly. Classic algorithms for…

Data Structures and Algorithms · Computer Science 2026-04-29 Marco Bressan , T-H. Hubert Chan , Qipeng Kuang , Mauro Sozio

This paper presents an algorithm for estimating the weight of a maximum weighted matching by augmenting any estimation routine for the size of an unweighted matching. The algorithm is implementable in any streaming model including dynamic…

Data Structures and Algorithms · Computer Science 2015-07-10 Marc Bury , Chris Schwiegelshohn

We present a deterministic dynamic algorithm for maintaining a $(1+\epsilon)f$-approximate minimum cost set cover with $O(f\log(Cn)/\epsilon^2)$ amortized update time, when the input set system is undergoing element insertions and…

Data Structures and Algorithms · Computer Science 2019-09-26 Sayan Bhattacharya , Monika Henzinger , Danupon Nanongkai

In this work, we present a combinatorial, deterministic single-pass streaming algorithm for the problem of maximizing a submodular function, not necessarily monotone, with respect to a cardinality constraint (SMCC). In the case the function…

Data Structures and Algorithms · Computer Science 2020-11-03 Alan Kuhnle

Symmetric submodular maximization is an important class of combinatorial optimization problems, including MAX-CUT on graphs and hyper-graphs. The state-of-the-art algorithm for the problem over general constraints has an approximation ratio…

Data Structures and Algorithms · Computer Science 2024-06-21 Zongqi Wan , Jialin Zhang , Xiaoming Sun , Zhijie Zhang

Given a data stream $\mathcal{A} = \langle a_1, a_2, \ldots, a_m \rangle$ of $m$ elements where each $a_i \in [n]$, the Distinct Elements problem is to estimate the number of distinct elements in $\mathcal{A}$.Distinct Elements has been a…

Data Structures and Algorithms · Computer Science 2023-05-25 Sourav Chakraborty , N. V. Vinodchandran , Kuldeep S. Meel

A pseudo-deterministic algorithm is a (randomized) algorithm which, when run multiple times on the same input, with high probability outputs the same result on all executions. Classic streaming algorithms, such as those for finding heavy…

Computational Complexity · Computer Science 2019-11-27 Shafi Goldwasser , Ofer Grossman , Sidhanth Mohanty , David P. Woodruff

Discovering frequent episodes over event sequences is an important data mining task. In many applications, events constituting the data sequence arrive as a stream, at furious rates, and recent trends (or frequent episodes) can change and…

Machine Learning · Computer Science 2012-05-22 Debprakash Patnaik , Naren Ramakrishnan , Srivatsan Laxman , Badrish Chandramouli

Suppose that we have two parties that possess each a binary string. Suppose that the length of the first string (document) is $n$ and that the two strings (documents) have edit distance (minimal number of deletes, inserts and substitutions…

Data Structures and Algorithms · Computer Science 2015-12-04 Djamal Belazzougui

This paper provides an algorithmic framework for obtaining fast distributed algorithms for a highly-dynamic setting, in which *arbitrarily many* edge changes may occur in each round. Our algorithm significantly improves upon prior work in…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-13 Keren Censor-Hillel , Neta Dafni , Victor I. Kolobov , Ami Paz , Gregory Schwartzman

Given a dataset of $n$ user-contributed strings, each of length at most $\ell$, a key problem is how to identify all frequent substrings while preserving each user's privacy. Recent work by Bernardini et al. (PODS'25) introduced a…

Data Structures and Algorithms · Computer Science 2026-03-11 Peaker Guo , Rayne Holland , Hao Wu

Frequency estimation is one of the most fundamental problems in streaming algorithms. Given a stream $S$ of elements from some universe $U=\{1 \ldots n\}$, the goal is to compute, in a single pass, a short sketch of $S$ so that for any…

Data Structures and Algorithms · Computer Science 2021-11-09 Piotr Indyk , Shyam Narayanan , David P. Woodruff

Estimating ranks, quantiles, and distributions over streaming data is a central task in data analysis and monitoring. Given a stream of $n$ items from a data universe equipped with a total order, the task is to compute a sketch (data…

Data Structures and Algorithms · Computer Science 2023-08-25 Graham Cormode , Zohar Karnin , Edo Liberty , Justin Thaler , Pavel Veselý

We study the power of Arthur-Merlin probabilistic proof systems in the data stream model. We show a canonical $\mathcal{AM}$ streaming algorithm for a wide class of data stream problems. The algorithm offers a tradeoff between the length of…

Computational Complexity · Computer Science 2013-02-05 Tom Gur , Ran Raz

We present two algorithms for maintaining the topological order of a directed acyclic graph with n vertices, under an online edge insertion sequence of m edges. Efficient algorithms for online topological ordering have many applications,…

Data Structures and Algorithms · Computer Science 2007-11-05 Telikepalli Kavitha , Rogers Mathew

We study the self-stabilizing leader election problem in anonymous $n$-nodes networks. Achieving self-stabilization with low space memory complexity is particularly challenging, and designing space-optimal leader election algorithms remains…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-20 Lelia Blin , Sylvain Gay , Isabella Ziccardi

Estimating frequencies of elements appearing in a data stream is a key task in large-scale data analysis. Popular sketching approaches to this problem (e.g., CountMin and CountSketch) come with worst-case guarantees that probabilistically…

Data Structures and Algorithms · Computer Science 2023-12-13 Anders Aamand , Justin Y. Chen , Huy Lê Nguyen , Sandeep Silwal , Ali Vakilian

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