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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

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

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

We give the first optimal bounds for returning the $\ell_1$-heavy hitters in a data stream of insertions, together with their approximate frequencies, closing a long line of work on this problem. For a stream of $m$ items in $\{1, 2, \dots,…

Data Structures and Algorithms · Computer Science 2016-03-02 Arnab Bhattacharyya , Palash Dey , David P. Woodruff

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

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

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 consider online mining of correlated heavy-hitters from a data stream. Given a stream of two-dimensional data, a correlated aggregate query first extracts a substream by applying a predicate along a primary dimension, and then computes…

Databases · Computer Science 2013-10-07 Bibudh Lahiri , Arko Provo Mukherjee , Srikanta Tirthapura

We consider the problem of event detection based upon a (typically multivariate) data stream characterizing some system. Most of the time the system is quiescent - nothing of interest is happening - but occasionally events of interest…

Methodology · Statistics 2010-03-16 Werner Stuetzle , Donald B. Percival , Caren Marzban

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

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 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

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

This paper studies the classic problem of finding heavy hitters in the turnstile streaming model. We give the first deterministic linear sketch that has $O(\epsilon^{-2} \log n \cdot \log^*(\epsilon^{-1}))$ rows and answers queries in…

Data Structures and Algorithms · Computer Science 2018-06-13 Yi Li , Vasileios Nakos

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

Big data streams are possibly one of the most essential underlying notions. However, data streams are often challenging to handle owing to their rapid pace and limited information lifetime. It is difficult to collect and communicate stream…

Machine Learning · Computer Science 2022-03-03 Christos Karras , Aristeidis Karras , Spyros Sioutas

Event Detection, which aims to identify and classify mentions of event instances from unstructured articles, is an important task in Natural Language Processing (NLP). Existing techniques for event detection only use homogeneous one-hot…

Computation and Language · Computer Science 2022-11-03 Anran Hao , Siu Cheung Hui , Jian Su

The task of finding heavy hitters is one of the best known and well studied problems in the area of data streams. One is given a list $i_1,i_2,\ldots,i_m\in[n]$ and the goal is to identify the items among $[n]$ that appear frequently in the…

Data Structures and Algorithms · Computer Science 2017-11-10 Vladimir Braverman , Stephen R. Chestnut , Nikita Ivkin , Jelani Nelson , Zhengyu Wang , David P. Woodruff

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

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
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