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For many online problems, it is known that the uniform arrival order enables the design of algorithms with much better performance guarantees than under worst-case. The quintessential example is the secretary problem. If the sequence of…

Data Structures and Algorithms · Computer Science 2015-02-10 Thomas Kesselheim , Robert Kleinberg , Rad Niazadeh

Streaming anomaly detection refers to the problem of detecting anomalous data samples in streams of data. This problem poses challenges that classical and deep anomaly detection methods are not designed to cope with, such as conceptual…

Machine Learning · Computer Science 2022-10-12 Joseph Gallego-Mejia , Oscar Bustos-Brinez , Fabio Gonzalez

How to get insights from relational data streams in a timely manner is a hot research topic. Data streams can present unique challenges, such as distribution drifts, outliers, emerging classes, and changing features, which have recently…

Machine Learning · Computer Science 2023-12-18 Yiqun Diao , Yutong Yang , Qinbin Li , Bingsheng He , Mian Lu

We consider the problem of estimating the value of max cut in a graph in the streaming model of computation. At one extreme, there is a trivial $2$-approximation for this problem that uses only $O(\log n)$ space, namely, count the number of…

Data Structures and Algorithms · Computer Science 2014-09-09 Michael Kapralov , Sanjeev Khanna , Madhu Sudan

In many engineered systems, optimization is used for decision making at time-scales ranging from real-time operation to long-term planning. This process often involves solving similar optimization problems over and over again with slightly…

Optimization and Control · Mathematics 2019-01-18 Sidhant Misra , Line Roald , Yeesian Ng

We consider the problem of computing distance between a pattern of length $n$ and all $n$-length subwords of a text in the streaming model. In the streaming setting, only the Hamming distance ($L_0$) has been studied. It is known that…

Data Structures and Algorithms · Computer Science 2020-11-10 Tatiana Starikovskaya , Michal Svagerka , Przemysław Uznański

We study approximation algorithms for the following three string measures that are widely used in practice: edit distance (ED), longest common subsequence (LCS), and longest increasing sequence (LIS). All three problems can be solved…

Data Structures and Algorithms · Computer Science 2020-07-28 Kuan Cheng , Zhengzhong Jin , Xin Li , Yu Zheng

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

Stochastic optimization is one of the central problems in Machine Learning and Theoretical Computer Science. In the standard model, the algorithm is given a fixed distribution known in advance. In practice though, one may acquire at a cost…

Data Structures and Algorithms · Computer Science 2023-06-07 Mingchen Ma , Christos Tzamos

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…

Data Structures and Algorithms · Computer Science 2021-09-09 Omri Ben-Eliezer , Talya Eden , Krzysztof Onak

We investigate the finite-time analysis of finding ($\delta,\epsilon$)-stationary points for nonsmooth nonconvex objectives in decentralized stochastic optimization. A set of agents aim at minimizing a global function using only their local…

Optimization and Control · Mathematics 2024-06-04 Emre Sahinoglu , Shahin Shahrampour

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

This paper studies the set cover problem under the semi-streaming model. The underlying set system is formalized in terms of a hypergraph $G = (V, E)$ whose edges arrive one-by-one and the goal is to construct an edge cover $F \subseteq E$…

Data Structures and Algorithms · Computer Science 2014-05-09 Yuval Emek , Adi Rosen

We address the problem of estimating the running quantile of a data stream when the memory for storing observations is limited. We (i) highlight the limitations of approaches previously described in the literature which make them unsuitable…

Data Structures and Algorithms · Computer Science 2014-09-26 Ognjen Arandjelovic , Ducson Pham , Svetha Venkatesh

Motivated by the prevalence and success of machine learning, a line of recent work has studied learning-augmented algorithms in the streaming model. These results have shown that for natural and practical oracles implemented with machine…

Data Structures and Algorithms · Computer Science 2026-03-04 Soham Nagawanshi , Shalini Panthangi , Chen Wang , David P. Woodruff , Samson Zhou

Estimating frequency moments of data streams is a very well studied problem and tight bounds are known on the amount of space that is necessary and sufficient when the stream is adversarially ordered. Recently, motivated by various…

Data Structures and Algorithms · Computer Science 2008-08-19 Alexandr Andoni , Andrew McGregor , Krzysztof Onak , Rina Panigrahy

We study the discrete bin covering problem where a multiset of items from a fixed set $S \subseteq (0,1]$ must be split into disjoint subsets while maximizing the number of subsets whose contents sum to at least $1$. We study the online…

Data Structures and Algorithms · Computer Science 2024-01-29 Magnus Berg , Shahin Kamali

Approximating the length of the longest increasing sequence (LIS) of an array is a well-studied problem. We study this problem in the data stream model, where the algorithm is allowed to make a single left-to-right pass through the array…

Data Structures and Algorithms · Computer Science 2013-04-16 Michael Saks , C. Seshadhri

Given a stream $S = (s_1, s_2, ..., s_N)$, a $\phi$-heavy hitter is an item $s_i$ that occurs at least $\phi N$ times in $S$. The problem of finding heavy-hitters has been extensively studied in the database literature. In this paper, we…

Inferring network topology from smooth signals is a significant problem in data science and engineering. A common challenge in real-world scenarios is the availability of only partially observed nodes. While some studies have considered…

Machine Learning · Computer Science 2025-07-08 Chuansen Peng , Hanning Tang , Zhiguo Wang , Xiaojing Shen
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