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The distinct elements problem is one of the fundamental problems in streaming algorithms --- given a stream of integers in the range $\{1,\ldots,n\}$, we wish to provide a $(1+\varepsilon)$ approximation to the number of distinct elements…

Data Structures and Algorithms · Computer Science 2019-01-07 Jarosław Błasiok

Given a finite set of points $P \subseteq \mathbb{R}^d$, we would like to find a small subset $S \subseteq P$ such that the convex hull of $S$ approximately contains $P$. More formally, every point in $P$ is within distance $\epsilon$ from…

Computational Geometry · Computer Science 2017-12-15 Avrim Blum , Vladimir Braverman , Ananya Kumar , Harry Lang , Lin F. Yang

We present parameterized streaming algorithms for the graph matching problem in both the dynamic and the insert-only models. For the dynamic streaming model, we present a one-pass algorithm that, with high probability, computes a…

Data Structures and Algorithms · Computer Science 2021-02-26 Jianer Chen , Qin Huang , Iyad Kanj , Ge Xia

We study sublinear algorithms for two fundamental graph problems, MAXCUT and correlation clustering. Our focus is on constructing core-sets as well as developing streaming algorithms for these problems. Constant space algorithms are known…

Data Structures and Algorithms · Computer Science 2018-02-21 Aditya Bhaskara , Samira Daruki , Suresh Venkatasubramanian

Identifying heavy hitters and estimating the frequencies of flows are fundamental tasks in various network domains. Existing approaches to this challenge can broadly be categorized into two groups, hashing-based and competing-counter-based.…

Data Structures and Algorithms · Computer Science 2024-06-25 Rana Shahout , Michael Mitzenmacher

Large, distributed data streams are now ubiquitous. High-accuracy sketches with low memory overhead have become the de facto method for analyzing this data. For instance, if we wish to group data by some label and report the largest counts…

Data Structures and Algorithms · Computer Science 2024-02-14 Homin K. Lee , Charles Masson

In the adversarially robust streaming model, a stream of elements is presented to an algorithm and is allowed to depend on the output of the algorithm at earlier times during the stream. In the classic insertion-only model of data streams,…

Data Structures and Algorithms · Computer Science 2022-10-24 David P. Woodruff , Samson Zhou

In Euclidean Uniform Facility Location (UFL), the input is a set of clients in $\mathbb{R}^d$ and the goal is to place facilities to serve them, so as to minimize the total cost of opening facilities plus connecting the clients. We study…

Data Structures and Algorithms · Computer Science 2023-01-31 Artur Czumaj , Arnold Filtser , Shaofeng H. -C. Jiang , Robert Krauthgamer , Pavel Veselý , Mingwei Yang

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

In this paper we study graph problems in dynamic streaming model, where the input is defined by a sequence of edge insertions and deletions. As many natural problems require $\Omega(n)$ space, where $n$ is the number of vertices, existing…

Data Structures and Algorithms · Computer Science 2016-05-03 Zengfeng Huang , Pan Peng

We study the communication complexity and streaming complexity of approximating unweighted semi-matchings. A semi-matching in a bipartite graph G = (A, B, E), with n = |A|, is a subset of edges S that matches all A vertices to B vertices…

Data Structures and Algorithms · Computer Science 2013-04-26 Christian Konrad , Adi Rosén

The ability to detect, in real-time, heavy hitters is beneficial to many network applications, such as DoS and anomaly detection. Through programmable languages as P4, heavy hitter detection can be implemented directly in the data-plane,…

Networking and Internet Architecture · Computer Science 2019-02-20 Belma Turkovic , Jorik Oostenbrink , Fernando Kuipers

In this work we focus on the problem of finding the heaviest-k and lightest-k hitters in a sliding window data stream. The most recent research endeavours have yielded an epsilon-approximate algorithm with update operations in constant time…

Data Structures and Algorithms · Computer Science 2011-03-02 Remous-Aris Koutsiamanis , Pavlos S. Efraimidis

In many applications that involve processing high-dimensional data, it is important to identify a small set of entities that account for a significant fraction of detections. Rather than formalize this as a clustering problem, in which all…

Artificial Intelligence · Computer Science 2018-05-09 Ferran Alet , Rohan Chitnis , Leslie P. Kaelbling , Tomas Lozano-Perez

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

This paper presents a novel high speed clustering scheme for high dimensional data streams. Data stream clustering has gained importance in different applications, for example, in network monitoring, intrusion detection, and real-time…

Databases · Computer Science 2015-10-13 Irshad Ahmed , Irfan Ahmed , Waseem Shahzad

We consider message-efficient continuous random sampling from a distributed stream, where the probability of inclusion of an item in the sample is proportional to a weight associated with the item. The unweighted version, where all weights…

Data Structures and Algorithms · Computer Science 2019-04-09 Rajesh Jayaram , Gokarna Sharma , Srikanta Tirthapura , David P. Woodruff

We consider a basic problem in the general data streaming model, namely, to estimate a vector $f \in \Z^n$ that is arbitrarily updated (i.e., incremented or decremented) coordinate-wise. The estimate $\hat{f} \in \Z^n$ must satisfy…

Computational Complexity · Computer Science 2008-04-07 Sumit Ganguly

We introduce the poly-streaming model, a generalization of streaming models of computation in which $k$ processors process $k$ data streams containing a total of $N$ items. The algorithm is allowed $O\left(f(k)\cdot M_1\right)$ space, where…

Data Structures and Algorithms · Computer Science 2025-07-21 Ahammed Ullah , S. M. Ferdous , Alex Pothen

Finding dense subgraphs is a fundamental problem with applications to community detection, clustering, and data mining. Our work focuses on finding approximate densest subgraphs in directed graphs in computational models for processing…

Data Structures and Algorithms · Computer Science 2025-09-29 Slobodan Mitrović , Theodore Pan , Mahdi Qaempanah , Mohammad Amin Raeisi