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Related papers: How to Catch L_2-Heavy-Hitters on Sliding Windows

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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

We study the distinct elements and $\ell_p$-heavy hitters problems in the sliding window model, where only the most recent $n$ elements in the data stream form the underlying set. We first introduce the composable histogram, a simple twist…

Data Structures and Algorithms · Computer Science 2023-04-12 Vladimir Braverman , Elena Grigorescu , Harry Lang , David P. Woodruff , Samson Zhou

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

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

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

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

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 heavy-hitters and $F_p$ moment estimation problems in the sliding window model. For $F_p$ moment estimation with $1<p\leq 2$, we show that it is possible to give a $(1\pm \epsilon)$ multiplicative approximation to the $F_p$…

Data Structures and Algorithms · Computer Science 2025-05-01 Shiyuan Feng , William Swartworth , David P. Woodruff

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 extend the multi-pass streaming model to sliding window problems, and address the problem of computing order statistics on fixed-size sliding windows, in the multi-pass streaming model as well as the closely related communication…

Data Structures and Algorithms · Computer Science 2018-07-13 Dhruv Rohatgi

Streaming computation plays an important role in large-scale data analysis. The sliding window model is a model of streaming computation which also captures the recency of the data. In this model, data arrives one item at a time, but only…

Data Structures and Algorithms · Computer Science 2021-11-01 Alessandro Epasto , Mohammad Mahdian , Vahab Mirrokni , Peilin Zhong

Identifying heavy hitters and estimating the frequencies of flows are fundamental tasks in various network domains. Existing approaches to this challenge can broadly be categorized into two groups, hashing-based and competing-counter-based.…

Data Structures and Algorithms · Computer Science 2024-06-25 Rana Shahout , Michael Mitzenmacher

We initiate the study of the Interval Selection problem in the (streaming) sliding window model of computation. In this problem, an algorithm receives a potentially infinite stream of intervals on the line, and the objective is to maintain…

Data Structures and Algorithms · Computer Science 2024-11-13 Cezar-Mihail Alexandru , Christian Konrad

We show how to utilize machine learning approaches to improve sliding window algorithms for approximate frequency estimation problems, under the ``algorithms with predictions'' framework. In this dynamic environment, previous…

Data Structures and Algorithms · Computer Science 2024-09-19 Rana Shahout , Ibrahim Sabek , Michael Mitzenmacher

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

We study the problem of recognizing regular languages in a variant of the streaming model of computation, called the sliding window model. In this model, we are given a size of the sliding window $n$ and a stream of symbols. At each time…

Data Structures and Algorithms · Computer Science 2019-09-25 Moses Ganardi , Danny Hucke , Markus Lohrey , Tatiana Starikovskaya

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

In this paper we study the extraction of representative elements in the data stream model in the form of submodular maximization. Different from the previous work on streaming submodular maximization, we are interested only in the recent…

Data Structures and Algorithms · Computer Science 2016-11-02 Jiecao Chen , Huy L. Nguyen , Qin Zhang

The sliding window model of computation captures scenarios in which data is arriving continuously, but only the latest $w$ elements should be used for analysis. The goal is to design algorithms that update the solution efficiently with each…

Data Structures and Algorithms · Computer Science 2020-10-26 Michele Borassi , Alessandro Epasto , Silvio Lattanzi , Sergei Vassilvitskii , Morteza Zadimoghaddam

Heavy hitters and frequency measurements are fundamental in many networking applications such as load balancing, QoS, and network security. This paper considers a generalized sliding window model that supports frequency and heavy hitters…

Data Structures and Algorithms · Computer Science 2018-11-15 Ran Ben Basat , Roy Friedman , Rana Shahout
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