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An important challenge in the streaming model is to maintain small-space approximations of entrywise functions performed on a matrix that is generated by the outer product of two vectors given as a stream. In other works, streams typically…

Data Structures and Algorithms · Computer Science 2015-11-04 Vladimir Braverman , Alan Roytman , Gregory Vorsanger

We present a new approach for finding matchings in dense graphs by building on Szemer\'edi's celebrated Regularity Lemma. This allows us to obtain non-trivial albeit slight improvements over longstanding bounds for matchings in streaming…

Data Structures and Algorithms · Computer Science 2022-07-20 Sepehr Assadi , Soheil Behnezhad , Sanjeev Khanna , Huan Li

We consider the streaming complexity of a fundamental task in approximate pattern matching: the $k$-mismatch problem. It asks to compute Hamming distances between a pattern of length $n$ and all length-$n$ substrings of a text for which the…

Data Structures and Algorithms · Computer Science 2018-04-10 Raphaël Clifford , Tomasz Kociumaka , Ely Porat

We study the space complexity of solving the bias-regularized SVM problem in the streaming model. This is a classic supervised learning problem that has drawn lots of attention, including for developing fast algorithms for solving the…

Data Structures and Algorithms · Computer Science 2020-07-08 Alexandr Andoni , Collin Burns , Yi Li , Sepideh Mahabadi , David P. Woodruff

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

The problem of finding locally dense components of a graph is an important primitive in data analysis, with wide-ranging applications from community mining to spam detection and the discovery of biological network modules. In this paper we…

Databases · Computer Science 2012-02-01 Bahman Bahmani , Ravi Kumar , Sergei Vassilvitskii

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…

Data Structures and Algorithms · Computer Science 2023-05-04 Ilias Diakonikolas , Daniel M. Kane , Ankit Pensia , Thanasis Pittas

Big data is becoming ever more ubiquitous, ranging over massive video repositories, document corpuses, image sets and Internet routing history. Proximity search and clustering are two algorithmic primitives fundamental to data analysis, but…

Data Structures and Algorithms · Computer Science 2015-03-24 Mina Ghashami , Amirali Abdullah

We study the problem of solving linear program in the streaming model. Given a constraint matrix $A\in \mathbb{R}^{m\times n}$ and vectors $b\in \mathbb{R}^m, c\in \mathbb{R}^n$, we develop a space-efficient interior point method that…

Data Structures and Algorithms · Computer Science 2023-05-19 S. Cliff Liu , Zhao Song , Hengjie Zhang , Lichen Zhang , Tianyi Zhou

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 study the maximum constraint satisfaction problem, Max-CSP, in the streaming setting. Given $n$ variables, the constraints arrive sequentially in an arbitrary order, with each constraint involving only a small subset of the variables.…

Data Structures and Algorithms · Computer Science 2026-04-03 Amir Azarmehr , Soheil Behnezhad , Shane Ferrante

Theory of tree transducers provides a foundation for understanding expressiveness and complexity of analysis problems for specification languages for transforming hierarchically structured data such as XML documents. We introduce streaming…

Formal Languages and Automata Theory · Computer Science 2012-02-23 Rajeev Alur , Loris D'Antoni

In this paper, we design the first streaming algorithms for the problem of multitasking scheduling on parallel machines with shared processing. In one pass, our streaming approximation schemes can provide an approximate value of the optimal…

Data Structures and Algorithms · Computer Science 2022-04-06 Bin Fu , Yumei Huo , Hairong Zhao

Diversity maximization is a fundamental problem with wide applications in data summarization, web search, and recommender systems. Given a set $X$ of $n$ elements, it asks to select a subset $S$ of $k \ll n$ elements with maximum…

Data Structures and Algorithms · Computer Science 2023-04-27 Yanhao Wang , Francesco Fabbri , Michael Mathioudakis

XSLT is an increasingly popular language for processing XML data. It is widely supported by application platform software. However, little optimization effort has been made inside the current XSLT processing engines. Evaluating a very…

Databases · Computer Science 2007-05-23 Zhimao Guo , Min Li , Xiaoling Wang , Aoying Zhou

One major drawback of state of the art Neural Networks (NN)-based approaches for document classification purposes is the large number of training samples required to obtain an efficient classification. The minimum required number is around…

Computer Vision and Pattern Recognition · Computer Science 2020-07-16 Joris Voerman , Aurelie Joseph , Mickael Coustaty , Vincent Poulain d Andecy , Jean-Marc Ogier

We present new lower bounds that show that a polynomial number of passes are necessary for solving some fundamental graph problems in the streaming model of computation. For instance, we show that any streaming algorithm that finds a…

Data Structures and Algorithms · Computer Science 2019-04-10 Sepehr Assadi , Yu Chen , Sanjeev Khanna

The exact computation of the number of distinct elements (frequency moment $F_0$) is a fundamental problem in the study of data streaming algorithms. We denote the length of the stream by $n$ where each symbol is drawn from a universe of…

Computational Complexity · Computer Science 2014-02-28 Hartmut Klauck , Ved Prakash

We introduce streaming data string transducers that map input data strings to output data strings in a single left-to-right pass in linear time. Data strings are (unbounded) sequences of data values, tagged with symbols from a finite set,…

Programming Languages · Computer Science 2011-02-15 Rajeev Alur , Pavol Cerny

Recent streaming video understanding methods increasingly rely on complex memory mechanisms to handle long video streams. We challenge this trend with a simple finding: a sliding-window baseline that feeds only the most recent N frames to…

Computer Vision and Pattern Recognition · Computer Science 2026-04-03 Yujiao Shen , Shulin Tian , Jingkang Yang , Ziwei Liu
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