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This paper argues that randomized linear sketching is a natural tool for on-the-fly compression of data matrices that arise from large-scale scientific simulations and data collection. The technical contribution consists in a new algorithm…

数值分析 · 计算机科学 2019-02-26 Joel A. Tropp , Alp Yurtsever , Madeleine Udell , Volkan Cevher

In this work, we revisit the fundamental and well-studied problem of approximate pattern matching under edit distance. Given an integer $k$, a pattern $P$ of length $m$, and a text $T$ of length $n \ge m$, the task is to find substrings of…

数据结构与算法 · 计算机科学 2021-06-14 Tomasz Kociumaka , Ely Porat , Tatiana Starikovskaya

Many problems on data streams have been studied at two extremes of difficulty: either allowing randomized algorithms, in the static setting (where they should err with bounded probability on the worst case stream); or when only…

数据结构与算法 · 计算机科学 2022-11-11 Manuel Stoeckl

We study high-dimensional robust statistics tasks in the streaming model. A recent line of work obtained computationally efficient algorithms for a range of high-dimensional robust estimation tasks. Unfortunately, all previous algorithms…

数据结构与算法 · 计算机科学 2023-05-04 Ilias Diakonikolas , Daniel M. Kane , Ankit Pensia , Thanasis Pittas

We study the classic set cover problem in the streaming model: the sets that comprise the instance are revealed one by one in a stream and the goal is to solve the problem by making one or few passes over the stream while maintaining a…

数据结构与算法 · 计算机科学 2017-03-07 Sepehr Assadi

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…

数据结构与算法 · 计算机科学 2025-07-21 Ahammed Ullah , S. M. Ferdous , Alex Pothen

We study distributed low rank approximation in which the matrix to be approximated is only implicitly represented across the different servers. For example, each of $s$ servers may have an $n \times d$ matrix $A^t$, and we may be interested…

数值分析 · 计算机科学 2016-01-29 David P. Woodruff , Peilin Zhong

The article concerns low-rank approximation of matrices generated by sampling a smooth function of two $m$-dimensional variables. We identify several misconceptions surrounding a claim that, for a specific class of analytic functions, such…

数值分析 · 数学 2025-09-09 Stanislav Budzinskiy

The Hierarchical Heavy Hitters problem extends the notion of frequent items to data arranged in a hierarchy. This problem has applications to network traffic monitoring, anomaly detection, and DDoS detection. We present a new streaming…

数据结构与算法 · 计算机科学 2011-08-10 Michael Mitzenmacher , Thomas Steinke , Justin Thaler

Streaming algorithms are generally judged by the quality of their solution, memory footprint, and computational complexity. In this paper, we study the problem of maximizing a monotone submodular function in the streaming setting with a…

机器学习 · 计算机科学 2019-05-14 Ehsan Kazemi , Marko Mitrovic , Morteza Zadimoghaddam , Silvio Lattanzi , Amin Karbasi

We propose a method for inference on moderately high-dimensional, nonlinear, non-Gaussian, partially observed Markov process models for which the transition density is not analytically tractable. Markov processes with intractable transition…

统计方法学 · 统计学 2020-04-02 Joonha Park , Edward L. Ionides

We study the problem of graph and hypergraph sparsification in insertion-only data streams. The input is a hypergraph $H=(V, E, w)$ with $n$ nodes, $m$ hyperedges, and rank $r$, and the goal is to compute a hypergraph $\widehat{H}$ that…

数据结构与算法 · 计算机科学 2025-10-22 Vincent Cohen-Addad , David P. Woodruff , Shenghao Xie , Samson Zhou

We characterize the streaming space complexity of every symmetric norm $l$ (a norm on $\mathbb{R}^n$ invariant under sign-flips and coordinate-permutations), by relating this space complexity to the measure-concentration characteristics of…

数据结构与算法 · 计算机科学 2017-06-27 Jaroslaw Blasiok , Vladimir Braverman , Stephen R. Chestnut , Robert Krauthgamer , Lin F. Yang

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…

数据结构与算法 · 计算机科学 2021-11-08 Xi Chen , Rajesh Jayaram , Amit Levi , Erik Waingarten

Johnson-Lindenstrauss embeddings are widely used to reduce the dimension and thus the processing time of data. To reduce the total complexity, also fast algorithms for applying these embeddings are necessary. To date, such fast algorithms…

数据结构与算法 · 计算机科学 2020-04-30 Stefan Bamberger , Felix Krahmer

A streaming algorithm is adversarially robust if it is guaranteed to perform correctly even in the presence of an adaptive adversary. Recently, several sophisticated frameworks for robustification of classical streaming algorithms have been…

数据结构与算法 · 计算机科学 2021-09-09 Omri Ben-Eliezer , Talya Eden , Krzysztof Onak

We develop a predictive-first optimisation framework for streaming hidden Markov models. Unlike classical approaches that prioritise full posterior recovery under a fully specified generative model, we assume access to regime-specific…

机器学习 · 统计学 2026-04-13 Gerardo Duran-Martin

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…

数据结构与算法 · 计算机科学 2026-05-12 Jan van den Brand , Zhao Song , Albert Weng

Embodied perception refers to the ability of an autonomous agent to perceive its environment so that it can (re)act. The responsiveness of the agent is largely governed by latency of its processing pipeline. While past work has studied the…

计算机视觉与模式识别 · 计算机科学 2020-08-26 Mengtian Li , Yu-Xiong Wang , Deva Ramanan

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…

最优化与控制 · 数学 2016-12-04 Arthur Mensch , Julien Mairal , Gaël Varoquaux , Bertrand Thirion