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The streaming model was introduced to parameterized complexity independently by Fafianie and Kratsch [MFCS14] and by Chitnis, Cormode, Hajiaghayi and Monemizadeh [SODA15]. Subsequently, it was broadened by Chitnis, Cormode, Esfandiari,…

Data Structures and Algorithms · Computer Science 2023-08-04 Daniel Lokshtanov , Pranabendu Misra , Fahad Panolan , M. S. Ramanujan , Saket Saurabh , Meirav Zehavi

We revisit the classic basic counting problem in the distributed streaming model that was studied by Gibbons and Tirthapura (GT). In the solution for maintaining an $(\epsilon,\delta)$-estimate, as what GT's method does, we make the…

Data Structures and Algorithms · Computer Science 2013-12-03 Bojian Xu

Recently, the question of adversarially robust streaming, where the stream is allowed to depend on the randomness of the streaming algorithm, has gained a lot of attention. In this work, we consider a strong white-box adversarial model…

Data Structures and Algorithms · Computer Science 2024-06-12 Ying Feng , Aayush Jain , David P. Woodruff

We revisit one of the classic problems in the data stream literature, namely, that of estimating the frequency moments $F_p$ for $0 < p < 2$ of an underlying $n$-dimensional vector presented as a sequence of additive updates in a stream. It…

Data Structures and Algorithms · Computer Science 2018-03-07 Vladimir Braverman , Emanuele Viola , David Woodruff , Lin F. Yang

We study the streaming complexity of the membership problem of 1-turn-Dyck2 and Dyck2 when there are a few errors in the input string. 1-turn-Dyck2 with errors: We prove that there exists a randomized one-pass algorithm that given x checks…

Computational Complexity · Computer Science 2012-06-04 Andreas Krebs , Nutan Limaye , Srikanth Srinivasan

The maximum coverage problem is to select $k$ sets from a collection of sets such that the cardinality of the union of the selected sets is maximized. We consider $(1-1/e-\epsilon)$-approximation algorithms for this NP-hard problem in three…

Data Structures and Algorithms · Computer Science 2024-03-22 Amit Chakrabarti , Andrew McGregor , Anthony Wirth

Detecting frequent elements is among the oldest and most-studied problems in the area of data streams. Given a stream of $m$ data items in $\{1, 2, \dots, n\}$, the objective is to output items that appear at least $d$ times, for some…

Data Structures and Algorithms · Computer Science 2021-02-16 Christian Konrad

We study space-pass tradeoffs in graph streaming algorithms for parameter estimation and property testing problems such as estimating the size of maximum matchings and maximum cuts, weight of minimum spanning trees, or testing if a graph is…

Data Structures and Algorithms · Computer Science 2021-04-13 Sepehr Assadi , Vishvajeet N

When rows of an $n \times d$ matrix $A$ are given in a stream, we study algorithms for approximating the top eigenvector of the matrix ${A}^TA$ (equivalently, the top right singular vector of $A$). We consider worst case inputs $A$ but…

Data Structures and Algorithms · Computer Science 2024-12-17 Praneeth Kacham , David P. Woodruff

We propose a streaming algorithm for the binary classification of data based on crowdsourcing. The algorithm learns the competence of each labeller by comparing her labels to those of other labellers on the same tasks and uses this…

Machine Learning · Statistics 2016-02-24 Thomas Bonald , Richard Combes

Anomaly detection is critical for finding suspicious behavior in innumerable systems. We need to detect anomalies in real-time, i.e. determine if an incoming entity is anomalous or not, as soon as we receive it, to minimize the effects of…

Machine Learning · Computer Science 2023-01-31 Siddharth Bhatia

The streaming model of computation is a popular approach for working with large-scale data. In this setting, there is a stream of items and the goal is to compute the desired quantities (usually data statistics) while making a single pass…

Data Structures and Algorithms · Computer Science 2023-01-16 Alessandro Epasto , Jieming Mao , Andres Munoz Medina , Vahab Mirrokni , Sergei Vassilvitskii , Peilin Zhong

In this work, we study the problem of finding the maximum value of a non-negative submodular function subject to a limit on the number of items selected, a ubiquitous problem that appears in many applications, such as data summarization and…

Data Structures and Algorithms · Computer Science 2023-08-08 Yixin Chen , Alan Kuhnle

In this paper, we consider the streaming memory-limited matrix completion problem when the observed entries are noisy versions of a small random fraction of the original entries. We are interested in scenarios where the matrix size is very…

Spectral Theory · Mathematics 2015-04-14 Se-Young Yun , Marc Lelarge , Alexandre Proutiere

Data streaming, in which a large dataset is received as a "stream" of updates, is an important model in the study of space-bounded computation. Starting with the work of Le Gall [SPAA `06], it has been known that quantum streaming…

Quantum Physics · Physics 2021-11-16 John Kallaugher

Discovering frequent episodes over event sequences is an important data mining task. In many applications, events constituting the data sequence arrive as a stream, at furious rates, and recent trends (or frequent episodes) can change and…

Machine Learning · Computer Science 2012-05-22 Debprakash Patnaik , Naren Ramakrishnan , Srivatsan Laxman , Badrish Chandramouli

In the online sorting problem, a sequence of $n$ numbers in $[0, 1]$ (including $\{0,1\}$) have to be inserted in an array of size $m \ge n$ so as to minimize the sum of absolute differences between pairs of numbers occupying consecutive…

Data Structures and Algorithms · Computer Science 2025-08-21 Yossi Azar , Debmalya Panigrahi , Or Vardi

Problems involving the efficient arrangement of simple objects, as captured by bin packing and makespan scheduling, are fundamental tasks in combinatorial optimization. These are well understood in the traditional online and offline cases,…

Data Structures and Algorithms · Computer Science 2026-01-27 Graham Cormode , Pavel Veselý

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…

Data Structures and Algorithms · Computer Science 2016-10-12 Paweł Gawrychowski , Oleg Merkurev , Arseny M. Shur , Przemysław Uznański

This paper studies streaming optimization problems that have objectives of the form $ \sum_{t=1}^Tf(\mathbf{x}_{t-1},\mathbf{x}_t)$. In particular, we are interested in how the solution $\hat{\mathbf{x} }_{t|T}$ for the $t$th frame of…

Optimization and Control · Mathematics 2022-04-26 Tomer Hamam , Justin Romberg
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