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We study streaming algorithms for Correlation Clustering. Given a graph as an arbitrary-order stream of edges, with each edge labeled as positive or negative, the goal is to partition the vertices into disjoint clusters, such that the…

数据结构与算法 · 计算机科学 2025-10-14 Yinhao Dong , Shan Jiang , Shi Li , Pan Peng

We study streaming algorithms for the maximum directed cut problem. The edges of an $n$-vertex directed graph arrive one by one in an arbitrary order, and the goal is to estimate the value of the maximum directed cut using a single pass and…

数据结构与算法 · 计算机科学 2026-04-01 Amir Azarmehr , Soheil Behnezhad , Shane Ferrante , Mohammad Saneian

We initiate the study of sub-linear sketching and streaming techniques for estimating the output size of common dictionary compressors such as Lempel-Ziv '77, the run-length Burrows-Wheeler transform, and grammar compression. To this end,…

数据结构与算法 · 计算机科学 2024-08-20 Ruben Becker , Matteo Canton , Davide Cenzato , Sung-Hwan Kim , Bojana Kodric , Nicola Prezza

We consider the approximability of constraint satisfaction problems in the streaming setting. For every constraint satisfaction problem (CSP) on $n$ variables taking values in $\{0,\ldots,q-1\}$, we prove that improving over the trivial…

计算复杂性 · 计算机科学 2026-04-03 Chi-Ning Chou , Alexander Golovnev , Madhu Sudan , Ameya Velingker , Santhoshini Velusamy

A fundamental question in streaming complexity is whether every space-efficient turnstile algorithm is implicitly a linear sketch. The landmark work of Li, Nguyen, and Woodruff [LNW14] established an equivalence between the two, but their…

数据结构与算法 · 计算机科学 2026-04-27 Cheng Jiang , Yinchen Liu , Huacheng Yu

We consider computing a longest palindrome in the streaming model, where the symbols arrive one-by-one and we do not have random access to the input. While computing the answer exactly using sublinear space is not possible in such a…

数据结构与算法 · 计算机科学 2016-10-12 Paweł Gawrychowski , Oleg Merkurev , Arseny M. Shur , Przemysław Uznański

We consider the problem of monotone, submodular maximization over a ground set of size $n$ subject to cardinality constraint $k$. For this problem, we introduce the first deterministic algorithms with linear time complexity; these…

数据结构与算法 · 计算机科学 2021-03-09 Alan Kuhnle

The efficient estimation of frequency moments of a data stream in one-pass using limited space and time per item is one of the most fundamental problem in data stream processing. An especially important estimation is to find the number of…

数据结构与算法 · 计算机科学 2010-10-29 Gokarna Sharma , Costas Busch , Srikanta Tirthapura

We study the streaming complexity of $k$-counter approximate counting. In the $k$-counter approximate counting problem, we are given an input string in $[k]^n$, and we are required to approximate the number of each $j$'s ($j\in[k]$) in the…

数据结构与算法 · 计算机科学 2024-06-19 Yichuan Wang

We consider the unweighted bipartite maximum matching problem in the one-pass turnstile streaming model where the input stream consists of edge insertions and deletions. In the insertion-only model, a one-pass $2$-approximation streaming…

数据结构与算法 · 计算机科学 2015-05-07 Christian Konrad

Streaming computation plays an important role in large-scale data analysis. The sliding window model is a model of streaming computation which also captures the recency of the data. In this model, data arrives one item at a time, but only…

数据结构与算法 · 计算机科学 2021-11-01 Alessandro Epasto , Mohammad Mahdian , Vahab Mirrokni , Peilin Zhong

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

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…

数据结构与算法 · 计算机科学 2021-11-09 Piotr Indyk , Shyam Narayanan , David P. Woodruff

Large language models (LLMs) have achieved impressive success, but their high memory requirements present challenges for long-context token generation. In this paper we study the streaming complexity of attention approximation, a key…

机器学习 · 计算机科学 2026-03-25 Ekaterina Kochetkova , Kshiteej Sheth , Insu Han , Amir Zandieh , Michael Kapralov

Histograms, i.e., piece-wise constant approximations, are a popular tool used to represent data distributions. Traditionally, the difference between the histogram and the underlying distribution (i.e., the approximation error) is measured…

数据结构与算法 · 计算机科学 2022-07-19 Justin Y. Chen , Piotr Indyk , Tal Wagner

We consider maximizing a monotone submodular function under a cardinality constraint or a knapsack constraint in the streaming setting. In particular, the elements arrive sequentially and at any point of time, the algorithm has access to…

数据结构与算法 · 计算机科学 2018-02-20 Chien-Chung Huang , Naonori Kakimura

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

Sketching and streaming algorithms are in the forefront of current research directions for cut problems in graphs. In the streaming model, we show that $(1-\epsilon)$-approximation for Max-Cut must use $n^{1-O(\epsilon)}$ space; moreover,…

数据结构与算法 · 计算机科学 2026-02-23 Dmitry Kogan , Robert Krauthgamer

We study streaming algorithms for the interval selection problem: finding a maximum cardinality subset of disjoint intervals on the line. A deterministic 2-approximation streaming algorithm for this problem is developed, together with an…

数据结构与算法 · 计算机科学 2015-03-20 Yuval Emek , Magnus M. Halldorsson , Adi Rosen

Despite rapid advancements in lifelong learning (LLL) research, a large body of research mainly focuses on improving the performance in the existing \textit{static} continual learning (CL) setups. These methods lack the ability to succeed…

机器学习 · 计算机科学 2023-01-30 Soumya Banerjee , Vinay Kumar Verma , Vinay P. Namboodiri