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We present a matrix factorization algorithm that scales to input matrices that are large in both dimensions (i.e., that contains morethan 1TB of data). The algorithm streams the matrix columns while subsampling them, resulting in low…

Optimization and Control · Mathematics 2016-12-04 Arthur Mensch , Julien Mairal , Gaël Varoquaux , Bertrand Thirion

We consider the problem of evaluating regular spanners over compressed documents, i.e., we wish to solve evaluation tasks directly on the compressed data, without decompression. As compressed forms of the documents we use straight-line…

Data Structures and Algorithms · Computer Science 2021-01-27 Markus L. Schmid , Nicole Schweikardt

Oblivious dimension reduction, \`{a} la the Johnson-Lindenstrauss (JL) Lemma, is a fundamental approach for processing high-dimensional data. We study this approach for Uniform Facility Location (UFL) on a Euclidean input…

Data Structures and Algorithms · Computer Science 2024-11-11 Lingxiao Huang , Shaofeng H. -C. Jiang , Robert Krauthgamer , Di Yue

Operations over data streams typically hinge on efficient mechanisms to aggregate or summarize history on a rolling basis. For high-volume data steams, it is critical to manage state in a manner that is fast and memory efficient --…

Data Structures and Algorithms · Computer Science 2024-09-24 Matthew Andres Moreno , Luis Zaman , Emily Dolson

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

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

Space efficient algorithms play a central role in dealing with large amount of data. In such settings, one would like to analyse the large data using small amount of "working space". One of the key steps in many algorithms for analysing…

Data Structures and Algorithms · Computer Science 2015-01-19 Anup Bhattacharya , Davis Issac , Ragesh Jaiswal , Amit Kumar

Streaming video reasoning requires models to operate in a setting where history grows without bound while meaningful evidence remains scarce. In such a landscape, relevant signal is like an oasis-small, critical, and easily lost in a desert…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Zhijia Liang , Jiaming Li , Weikai Chen , Yanhao Zhang , Haonan Lu , Guanbin Li

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

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

As XML becomes ubiquitous and XML storage and processing becomes more efficient, the range of use cases for these technologies widens daily. One promising area is the integration of XML and data warehouses, where an XML-native database…

Databases · Computer Science 2009-12-08 Serge Boucher , Boris Verhaegen , Esteban Zimányi

The seminal work of Ahn, Guha, and McGregor in 2012 introduced the graph sketching technique and used it to present the first streaming algorithms for various graph problems over dynamic streams with both insertions and deletions of edges.…

Data Structures and Algorithms · Computer Science 2023-12-11 Sepehr Assadi , Gillat Kol , Zhijun Zhang

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

Motivated by a fundamental paradigm in cryptography, we consider a recent variant of the classic problem of bounding the distinguishing advantage between a random function and a random permutation. Specifically, we consider the problem of…

Information Theory · Computer Science 2020-04-22 Ido Shahaf , Or Ordentlich , Gil Segev

We study graph computations in an enhanced data streaming setting, where a space-bounded client reading the edge stream of a massive graph may delegate some of its work to a cloud service. We seek algorithms that allow the client to verify…

Data Structures and Algorithms · Computer Science 2020-07-08 Amit Chakrabarti , Prantar Ghosh , Justin Thaler

In real-world contexts, sometimes data are available in form of Natural Data Streams, i.e. data characterized by a streaming nature, unbalanced distribution, data drift over a long time frame and strong correlation of samples in short time…

Computer Vision and Pattern Recognition · Computer Science 2023-01-10 Guido Borghi , Gabriele Graffieti , Davide Maltoni

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

We provide the first streaming algorithm for computing a provable approximation to the $k$-means of sparse Big data. Here, sparse Big Data is a set of $n$ vectors in $\mathbb{R}^d$, where each vector has $O(1)$ non-zeroes entries, and…

Data Structures and Algorithms · Computer Science 2016-02-09 Artem Barger , Dan Feldman

Pliable index coding considers a server with m messages, and n clients where each has as side information a subset of the messages. We seek to minimize the number of transmissions the server should make, so that each client receives (any)…

Information Theory · Computer Science 2016-01-22 Linqi Song , Christina Fragouli

Analyzing patterns in data streams generated by network traffic, sensor networks, or satellite feeds is a challenge for systems in which the available storage is limited. In addition, real data is noisy, which makes designing data stream…

Data Structures and Algorithms · Computer Science 2017-11-15 Elena Grigorescu , Erfan Sadeqi Azer , Samson Zhou