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The Hierarchical Heavy Hitters problem extends the notion of frequent items to data arranged in a hierarchy. This problem has applications to network traffic monitoring, anomaly detection, and DDoS detection. We present a new streaming…

Data Structures and Algorithms · Computer Science 2011-08-10 Michael Mitzenmacher , Thomas Steinke , Justin Thaler

The problem of mining Correlated Heavy Hitters (CHH) from a two-dimensional data stream has been introduced recently, and a deterministic algorithm based on the use of the Misra--Gries algorithm has been proposed by Lahiri et al. to solve…

Data Structures and Algorithms · Computer Science 2017-04-07 Italo Epicoco , Massimo Cafaro , Marco Pulimeno

Frequency estimation of elements is an important task for summarizing data streams and machine learning applications. The problem is often addressed by using streaming algorithms with sublinear space data structures. These algorithms allow…

Data Structures and Algorithms · Computer Science 2022-04-05 Nikita Seleznev , Senthil Kumar , C. Bayan Bruss

Distributed Denial of Service (DDoS) attacks have become more prominent recently, both in frequency of occurrence, as well as magnitude. Such attacks render key Internet resources unavailable and disrupt its normal operation. It is…

Cryptography and Security · Computer Science 2014-12-22 Michael Kallitsis , Stilian Stoev , George Michailidis

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

Data streams typically have items of large number of dimensions. We study the fundamental heavy-hitters problem in this setting. Formally, the data stream consists of $d$-dimensional items $x_1,\ldots,x_m \in [n]^d$. A $k$-dimensional…

Data Structures and Algorithms · Computer Science 2018-02-22 Branislav Kveton , S. Muthukrishnan , Hoa T. Vu , Yikun Xian

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

An old and fundamental problem in databases and data streams is that of finding the heavy hitters, also known as the top-$k$, most popular items, frequent items, elephants, or iceberg queries. There are several variants of this problem,…

Data Structures and Algorithms · Computer Science 2016-03-08 David P. Woodruff

Finding heavy-elements (heavy-hitters) in streaming data is one of the central, and well-understood tasks. Despite the importance of this problem, when considering the sliding windows model of streaming (where elements eventually expire)…

Data Structures and Algorithms · Computer Science 2014-07-29 Vladimir Braverman , Ran Gelles , Rafail Ostrovsky

In many applications that involve processing high-dimensional data, it is important to identify a small set of entities that account for a significant fraction of detections. Rather than formalize this as a clustering problem, in which all…

Artificial Intelligence · Computer Science 2018-05-09 Ferran Alet , Rohan Chitnis , Leslie P. Kaelbling , Tomas Lozano-Perez

We consider the the problem of tracking heavy hitters and quantiles in the distributed streaming model. The heavy hitters and quantiles are two important statistics for characterizing a data distribution. Let $A$ be a multiset of elements,…

Data Structures and Algorithms · Computer Science 2008-12-02 Ke Yi , Qin Zhang

The ability to detect, in real-time, heavy hitters is beneficial to many network applications, such as DoS and anomaly detection. Through programmable languages as P4, heavy hitter detection can be implemented directly in the data-plane,…

Networking and Internet Architecture · Computer Science 2019-02-20 Belma Turkovic , Jorik Oostenbrink , Fernando Kuipers

Given a stream $x_1,x_2,\dots,x_n$ of items from a Universe $U$ of size poly$(n)$, and a parameter $\epsilon>0$, an item $i\in U$ is said to be an $\ell_2$ heavy hitter if its frequency $f_i$ in the stream is at least $\sqrt{\epsilon F_2}$,…

Data Structures and Algorithms · Computer Science 2026-02-10 Santhoshini Velusamy , Huacheng Yu

Big data problems frequently require processing datasets in a streaming fashion, either because all data are available at once but collectively are larger than available memory or because the data intrinsically arrive one data point at a…

Computation · Statistics 2018-08-08 Andrea Giovannucci , Victor Minden , Cengiz Pehlevan , Dmitri B. Chklovskii

Hypergraphs, increasingly utilised to model complex and diverse relationships in modern networks, have gained significant attention for representing intricate higher-order interactions. Among various challenges, cohesive subgraph discovery…

Social and Information Networks · Computer Science 2025-07-14 Dahee Kim , Hyewon Kim , Song Kim , Minseok Kim , Junghoon Kim , Yeon-Chang Lee , Sungsu Lim

Cloud operators require real-time identification of Heavy Hitters (HH) and Hierarchical Heavy Hitters (HHH) for applications such as load balancing, traffic engineering, and attack mitigation. However, existing techniques are slow in…

Networking and Internet Architecture · Computer Science 2018-10-26 Ran Ben Basat , Gil Einziger , Isaac Keslassy , Ariel Orda , Shay Vargaftik , Erez Waisbard

The geometric congruence problem is a fundamental building block in many computer vision and image recognition tasks. This problem considers the decision task of whether two point sets are congruent under translation and rotation. A related…

Data Structures and Algorithms · Computer Science 2026-02-16 Yen-Cheng Chang , Tsun Ming Cheung , Meng-Tsung Tsai , Ting-An Wu

Common clustering algorithms require multiple scans of all the data to achieve convergence, and this is prohibitive when large databases, with data arriving in streams, must be processed. Some algorithms to extend the popular K-means method…

Applications · Statistics 2017-12-22 Giacomo Aletti , Alessandra Micheletti

Identifying the "heavy hitter" flows or flows with large traffic volumes in the data plane is important for several applications e.g., flow-size aware routing, DoS detection, and traffic engineering. However, measurement in the data plane…

Networking and Internet Architecture · Computer Science 2017-07-20 Vibhaalakshmi Sivaraman , Srinivas Narayana , Ori Rottenstreich , S. Muthukrishnan , Jennifer Rexford

This paper presents a novel high speed clustering scheme for high dimensional data streams. Data stream clustering has gained importance in different applications, for example, in network monitoring, intrusion detection, and real-time…

Databases · Computer Science 2015-10-13 Irshad Ahmed , Irfan Ahmed , Waseem Shahzad
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