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We consider message-efficient continuous random sampling from a distributed stream, where the probability of inclusion of an item in the sample is proportional to a weight associated with the item. The unweighted version, where all weights…

Data Structures and Algorithms · Computer Science 2019-04-09 Rajesh Jayaram , Gokarna Sharma , Srikanta Tirthapura , David P. Woodruff

We study the problem of distributed distinct element estimation, where $\alpha$ servers each receive a subset of a universe $[n]$ and aim to compute a $(1+\varepsilon)$-approximation to the number of distinct elements using minimal…

Data Structures and Algorithms · Computer Science 2025-07-01 Ilias Diakonikolas , Daniel M. Kane , Jasper C. H. Lee , Thanasis Pittas , David P. Woodruff , Samson Zhou

Large, distributed data streams are now ubiquitous. High-accuracy sketches with low memory overhead have become the de facto method for analyzing this data. For instance, if we wish to group data by some label and report the largest counts…

Data Structures and Algorithms · Computer Science 2024-02-14 Homin K. Lee , Charles Masson

We consider statistical estimations of a matrix product over the integers in a distributed setting, where we have two parties Alice and Bob; Alice holds a matrix $A$ and Bob holds a matrix $B$, and they want to estimate statistics of $A…

Data Structures and Algorithms · Computer Science 2018-07-04 David P. Woodruff , Qin Zhang

Clustering large datasets is a fundamental problem with a number of applications in machine learning. Data is often collected on different sites and clustering needs to be performed in a distributed manner with low communication. We would…

Data Structures and Algorithms · Computer Science 2017-02-02 Jiecao Chen , He Sun , David P. Woodruff , Qin Zhang

Stream monitoring is fundamental in many data stream applications, such as financial data trackers, security, anomaly detection, and load balancing. In that respect, quantiles are of particular interest, as they often capture the user's…

Data Structures and Algorithms · Computer Science 2022-01-07 Rana Shahout , Roy Friedman , Ran Ben Basat

Finding heavy hitters in databases and data streams is a fundamental problem with applications ranging from network monitoring to database query optimization, machine learning, and more. Approximation algorithms offer practical solutions,…

Data Structures and Algorithms · Computer Science 2025-11-24 Vinh Quang Ngo , Marina Papatriantafilou

We consider the problem of identifying the subset $\mathcal{S}^{\gamma}_{\mathcal{P}}$ of elements in the support of an underlying distribution $\mathcal{P}$ whose probability value is larger than a given threshold $\gamma$, by actively…

Information Theory · Computer Science 2021-02-11 Sahasrajit Sarmasarkar , Kota Srinivas Reddy , Nikhil Karamchandani

Motivated by a recent new type of randomized Distributed Denial of Service (DDoS) attacks on the Domain Name Service (DNS), we develop novel and efficient distinct heavy hitters algorithms and build an attack identification system that uses…

Cryptography and Security · Computer Science 2016-12-09 Yehuda Afek , Anat Bremler-Barr , Edith Cohen , Shir Landau Feibish , Michal Shagam

Approximating quantiles and distributions over streaming data has been studied for roughly two decades now. Recently, Karnin, Lang, and Liberty proposed the first asymptotically optimal algorithm for doing so. This manuscript complements…

Data Structures and Algorithms · Computer Science 2019-07-02 Nikita Ivkin , Edo Liberty , Kevin Lang , Zohar Karnin , Vladimir Braverman

We present a novel approach for the problem of frequency estimation in data streams that is based on optimization and machine learning. Contrary to state-of-the-art streaming frequency estimation algorithms, which heavily rely on random…

Data Structures and Algorithms · Computer Science 2022-07-19 Dimitris Bertsimas , Vassilis Digalakis

In this work we focus on the problem of finding the heaviest-k and lightest-k hitters in a sliding window data stream. The most recent research endeavours have yielded an epsilon-approximate algorithm with update operations in constant time…

Data Structures and Algorithms · Computer Science 2011-03-02 Remous-Aris Koutsiamanis , Pavlos S. Efraimidis

We consider algorithmic problems in the setting in which the input data has been partitioned arbitrarily on many servers. The goal is to compute a function of all the data, and the bottleneck is the communication used by the algorithm. We…

Data Structures and Algorithms · Computer Science 2014-07-01 Ravindran Kannan , Santosh Vempala , David Woodruff

We present two new local differentially private algorithms for frequency estimation. One solves the fundamental frequency oracle problem; the other solves the well-known heavy hitters identification problem. Consistent with prior art, these…

Data Structures and Algorithms · Computer Science 2022-02-18 Hao Wu , Anthony Wirth

We consider the problem of distributed feature quantization, where the goal is to enable a pretrained classifier at a central node to carry out its classification on features that are gathered from distributed nodes through communication…

Machine Learning · Computer Science 2019-11-04 Osama A. Hanna , Yahya H. Ezzeldin , Tara Sadjadpour , Christina Fragouli , Suhas Diggavi

The last decades have seen a surge of interests in distributed computing thanks to advances in clustered computing and big data technology. Existing distributed algorithms typically assume {\it all the data are already in one place}, and…

Machine Learning · Computer Science 2019-05-07 Donghui Yan , Yingjie Wang , Jin Wang , Guodong Wu , Honggang Wang

The growing demands of remote detection and increasing amount of training data make distributed machine learning under communication constraints a critical issue. This work provides a communication-efficient quantum algorithm that tackles…

Quantum Physics · Physics 2023-04-26 Hao Tang , Boning Li , Guoqing Wang , Haowei Xu , Changhao Li , Ariel Barr , Paola Cappellaro , Ju Li

Consider the classical problem of information dissemination: one (or more) nodes in a network have some information that they want to distribute to the remainder of the network. In this paper, we study the cost of information dissemination…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-12-03 Suman Sourav , Peter Robinson , Seth Gilbert

Many well-known, real-world problems involve dynamic data which describe the relationship among the entities. Hypergraphs are powerful combinatorial structures that are frequently used to model such data. For many of today's data-centric…

Data Structures and Algorithms · Computer Science 2021-03-10 Fatih Taşyaran , Berkay Demireller , Kamer Kaya , Bora Uçar

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