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We propose two one-pass streaming algorithms for the $\mathcal{NP}$-hard hypergraph matching problem. The first algorithm stores a small subset of potential matching edges in a stack using dual variables to select edges. It has an…

Data Structures and Algorithms · Computer Science 2025-07-09 Henrik Reinstädtler , S M Ferdous , Alex Pothen , Bora Uçar , Christian Schulz

We study streaming algorithms for two fundamental geometric problems: computing the cost of a Minimum Spanning Tree (MST) of an $n$-point set $X \subset \{1,2,\dots,\Delta\}^d$, and computing the Earth Mover Distance (EMD) between two…

Data Structures and Algorithms · Computer Science 2021-11-08 Xi Chen , Rajesh Jayaram , Amit Levi , Erik Waingarten

We revisit the MaxSAT problem in the data stream model. In this problem, the stream consists of $m$ clauses that are disjunctions of literals drawn from $n$ Boolean variables. The objective is to find an assignment to the variables that…

Data Structures and Algorithms · Computer Science 2022-08-22 Hoa T. Vu

We present a streaming algorithm for the vertex connectivity problem in dynamic streams with a (nearly) optimal space bound: for any $n$-vertex graph $G$ and any integer $k \geq 1$, our algorithm with high probability outputs whether or not…

Data Structures and Algorithms · Computer Science 2022-11-10 Sepehr Assadi , Vihan Shah

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 show that fundamental learning tasks, such as finding an approximate linear separator or linear regression, require memory at least \emph{quadratic} in the dimension, in a natural streaming setting. This implies that such problems cannot…

Machine Learning · Computer Science 2019-06-13 Yuval Dagan , Gil Kur , Ohad Shamir

We improve the space bound for streaming approximation of Diameter but also of Farthest Neighbor queries, Minimum Enclosing Ball and its Coreset, in high-dimensional Euclidean spaces. In particular, our deterministic streaming algorithms…

Data Structures and Algorithms · Computer Science 2025-05-23 Magnús M. Halldórsson , Nicolaos Matsakis , Pavel Veselý

Data stream processing frameworks provide reliable and efficient mechanisms for executing complex workflows over large datasets. A common challenge for the majority of currently available streaming frameworks is efficient utilization of…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-30 Oliver Stein , Ben Blamey , Johan Karlsson , Alan Sabirsh , Ola Spjuth , Andreas Hellander , Salman Toor

In this paper, we study the problem of finding a maximum matching in the semi-streaming model when edges arrive in a random order. In the semi-streaming model, an algorithm receives a stream of edges and it is allowed to have a memory of…

Data Structures and Algorithms · Computer Science 2019-12-24 Alireza Farhadi , MohammadTaghi Hajiaghayi , Tung Mai , Anup Rao , Ryan A. Rossi

We study the problem of maximizing a non-monotone submodular function subject to a cardinality constraint in the streaming model. Our main contribution is a single-pass (semi-)streaming algorithm that uses roughly $O(k / \varepsilon^2)$…

Data Structures and Algorithms · Computer Science 2020-08-11 Naor Alaluf , Alina Ene , Moran Feldman , Huy L. Nguyen , Andrew Suh

A streaming model is one where data items arrive over long period of time, either one item at a time or in bursts. Typical tasks include computing various statistics over a sliding window of some fixed time-horizon. What makes the streaming…

Data Structures and Algorithms · Computer Science 2008-04-14 Vladimir Braverman , Rafail Ostrovsky , Carlo Zaniolo

In streaming Singular Value Decomposition (SVD), $d$-dimensional rows of a possibly infinite matrix arrive sequentially as points in $\mathbb{R}^d$. An $\epsilon$-coreset is a (much smaller) matrix whose sum of square distances of the rows…

Data Structures and Algorithms · Computer Science 2020-11-30 Vladimir Braverman , Dan Feldman , Harry Lang , Daniela Rus , Adiel Statman

We study the problem of extracting a small subset of representative items from a large data stream. In many data mining and machine learning applications such as social network analysis and recommender systems, this problem can be…

Data Structures and Algorithms · Computer Science 2021-02-15 Yanhao Wang , Francesco Fabbri , Michael Mathioudakis

Max-Cut is a fundamental combinatorial optimization problem that has been studied in various computational settings. We initiate the study of its streaming complexity in \emph{general metric spaces} with access to distance oracles. We give…

Data Structures and Algorithms · Computer Science 2026-05-01 Shaofeng H. -C. Jiang , Pan Peng , Haoze Wang

A widely-used tool for binary classification is the Support Vector Machine (SVM), a supervised learning technique that finds the "maximum margin" linear separator between the two classes. While SVMs have been well studied in the batch…

Machine Learning · Computer Science 2014-12-09 Vikram Nathan , Sharath Raghvendra

Many applications benefit from sampling algorithms where a small number of well chosen samples are used to generalize different properties of a large dataset. In this paper, we use diverse sampling for streaming video summarization. Several…

Computer Vision and Pattern Recognition · Computer Science 2016-11-01 Rushil Anirudh , Ahnaf Masroor , Pavan Turaga

In differential privacy, $\textit{continual observation}$ refers to problems in which we wish to continuously release a function of a dataset that is revealed one element at a time. The challenge is to maintain a good approximation while…

Machine Learning · Computer Science 2025-03-07 Joel Daniel Andersson , Rasmus Pagh

Motivated by the trend to outsource work to commercial cloud computing services, we consider a variation of the streaming paradigm where a streaming algorithm can be assisted by a powerful helper that can provide annotations to the data…

Data Structures and Algorithms · Computer Science 2015-03-14 Graham Cormode , Michael Mitzenmacher , Justin Thaler

We adapt a well known streaming algorithm for approximating item frequencies to the matrix sketching setting. The algorithm receives the rows of a large matrix $A \in \R^{n \times m}$ one after the other in a streaming fashion. It maintains…

Data Structures and Algorithms · Computer Science 2012-07-12 Edo Liberty

In this paper we propose a new algorithm for streaming principal component analysis. With limited memory, small devices cannot store all the samples in the high-dimensional regime. Streaming principal component analysis aims to find the…

Machine Learning · Statistics 2018-02-16 Puyudi Yang , Cho-Jui Hsieh , Jane-Ling Wang
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