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Similarity search is the task of retrieving data items that are similar to a given query. In this paper, we introduce the time-sensitive notion of similarity search over endless data-streams (SSDS), which takes into account data quality and…

Information Retrieval · Computer Science 2017-08-08 Naama Kraus , David Carmel , Idit Keidar

We study the well-motivated problem of online distribution shift in which the data arrive in batches and the distribution of each batch can change arbitrarily over time. Since the shifts can be large or small, abrupt or gradual, the length…

Machine Learning · Computer Science 2025-04-11 Dheeraj Baby , Boran Han , Shuai Zhang , Cuixiong Hu , Yuyang Wang , Yu-Xiang Wang

We study the power of Arthur-Merlin probabilistic proof systems in the data stream model. We show a canonical $\mathcal{AM}$ streaming algorithm for a wide class of data stream problems. The algorithm offers a tradeoff between the length of…

Computational Complexity · Computer Science 2013-02-05 Tom Gur , Ran Raz

In this paper, we begin the exploration of vertex-ordering problems through the lens of exponential-time approximation algorithms. In particular, we ask the following question: Can we simultaneously beat the running times of the fastest…

Data Structures and Algorithms · Computer Science 2025-02-18 Matthias Bentert , Fedor V. Fomin , Tanmay Inamdar , Saket Saurabh

In this paper we consider the problem of finding a maximum weight set subject to a $k$-extendible constraint in the data stream model. The only non-trivial algorithm known for this problem to date---to the best of our knowledge---is a…

Data Structures and Algorithms · Computer Science 2019-06-12 Moran Feldman , Ran Haba

We study streaming algorithms for the $\ell_p$ subspace approximation problem. Given points $a_1, \ldots, a_n$ as an insertion-only stream and a rank parameter $k$, the $\ell_p$ subspace approximation problem is to find a $k$-dimensional…

Data Structures and Algorithms · Computer Science 2024-06-06 Hossein Esfandiari , Vahab Mirrokni , Praneeth Kacham , David P. Woodruff , Peilin Zhong

Stream processing is a compute paradigm that promises safe and efficient parallelism. Modern big-data problems are often well suited for stream processing's throughput-oriented nature. Realization of efficient stream processing requires…

Performance · Computer Science 2015-04-14 Jonathan C. Beard , Roger D. Chamberlain

We study streaming algorithms for the fundamental geometric problem of computing the cost of the Euclidean Minimum Spanning Tree (MST) on an $n$-point set $X \subset \mathbb{R}^d$. In the streaming model, the points in $X$ can be added and…

Data Structures and Algorithms · Computer Science 2022-12-14 Vincent Cohen-Addad , Xi Chen , Rajesh Jayaram , Amit Levi , Erik Waingarten

We introduce a new notion of information complexity for multi-pass streaming problems and use it to resolve several important questions in data streams. In the coin problem, one sees a stream of $n$ i.i.d. uniform bits and one would like to…

Computational Complexity · Computer Science 2024-04-01 Mark Braverman , Sumegha Garg , Qian Li , Shuo Wang , David P. Woodruff , Jiapeng Zhang

We develop a new algorithmic technique that allows to transfer some constant time approximation algorithms for general graphs into random order streaming algorithms. We illustrate our technique by proving that in random order streams with…

Data Structures and Algorithms · Computer Science 2017-11-15 Pan Peng , Christian Sohler

Recently, continual learning has received a lot of attention. One of the significant problems is the occurrence of \emph{concept drift}, which consists of changing probabilistic characteristics of the incoming data. In the case of the…

Machine Learning · Computer Science 2022-10-11 Sebastián Basterrech , Michal Woźniak

The need to estimate a particular quantile of a distribution is an important problem which frequently arises in many computer vision and signal processing applications. For example, our work was motivated by the requirements of many…

Data Structures and Algorithms · Computer Science 2014-11-11 Ognjen Arandjelovic , Duc-Son Pham , Svetha Venkatesh

We consider the classic Set Cover problem in the data stream model. For $n$ elements and $m$ sets ($m\geq n$) we give a $O(1/\delta)$-pass algorithm with a strongly sub-linear $\tilde{O}(mn^{\delta})$ space and logarithmic approximation…

Data Structures and Algorithms · Computer Science 2016-05-03 Sariel Har-Peled , Piotr Indyk , Sepideh Mahabadi , Ali Vakilian

Topic modeling is a key component in unsupervised learning, employed to identify topics within a corpus of textual data. The rapid growth of social media generates an ever-growing volume of textual data daily, making online topic modeling…

Machine Learning · Computer Science 2025-10-23 Federica Granese , Benjamin Navet , Serena Villata , Charles Bouveyron

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

Estimating the size of the maximum matching is a canonical problem in graph algorithms, and one that has attracted extensive study over a range of different computational models. We present improved streaming algorithms for approximating…

Data Structures and Algorithms · Computer Science 2016-11-15 Graham Cormode , Hossein Jowhari , Morteza Monemizadeh , S. Muthukrishnan

We consider streaming over a peer-to-peer network with homogeneous nodes in which a single source broadcasts a data stream to all the users in the system. Peers are allowed to enter or leave the system (adversarially) arbitrarily. Previous…

Networking and Internet Architecture · Computer Science 2014-07-09 Shaileshh Bojja Venkatakrishnan , Pramod Viswanath

We present a new streaming algorithm for the $k$-Mismatch problem, one of the most basic problems in pattern matching. Given a pattern and a text, the task is to find all substrings of the text that are at the Hamming distance at most $k$…

Data Structures and Algorithms · Computer Science 2019-04-24 Jakub Radoszewski , Tatiana Starikovskaya

The dynamic set cover problem has been subject to extensive research since the pioneering works of [Bhattacharya et al, 2015] and [Gupta et al, 2017]. The input is a set system $(U, S)$ on a fixed collection $S$ of sets and a dynamic…

Data Structures and Algorithms · Computer Science 2024-10-29 Anton Bukov , Shay Solomon , Tianyi Zhang

We study the $k$-connectivity augmentation problem ($k$-CAP) in the single-pass streaming model. Given a $(k-1)$-edge connected graph $G=(V,E)$ that is stored in memory, and a stream of weighted edges $L$ with weights in $\{0,1,\dots,W\}$,…

Data Structures and Algorithms · Computer Science 2024-02-19 Ce Jin , Michael Kapralov , Sepideh Mahabadi , Ali Vakilian