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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

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

In many problems in data mining and machine learning, data items that need to be clustered or classified are not points in a high-dimensional space, but are distributions (points on a high dimensional simplex). For distributions, natural…

Data Structures and Algorithms · Computer Science 2007-07-13 Sudipto Guha , Andrew McGregor , Suresh Venkatasubramanian

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

For many modern applications in science and engineering, data are collected in a streaming fashion carrying time-varying information, and practitioners need to process them with a limited amount of memory and computational resources in a…

Machine Learning · Statistics 2018-06-13 Laura Balzano , Yuejie Chi , Yue M. Lu

Federated heavy-hitter analytics involves the identification of the most frequent items within distributed data. Existing methods for this task often encounter challenges such as compromising privacy or sacrificing utility. To address these…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-18 Jiaqi Shao , Shanshan Han , Chaoyang He , Bing Luo

Quantum sampling, a fundamental subroutine in numerous quantum algorithms, involves encoding a given probability distribution in the amplitudes of a pure state. Given the hefty cost of large-scale quantum storage, we initiate the study of…

Quantum Physics · Physics 2025-06-10 Longyun Chen , Jingcheng Liu , Penghui Yao

Consider n nodes connected to a single coordinator. Each node receives an individual online data stream of numbers and, at any point in time, the coordinator has to know the k nodes currently observing the largest values, for a given k…

Data Structures and Algorithms · Computer Science 2016-10-28 Alexander Mäcker , Manuel Malatyali , Friedhelm Meyer auf der Heide

Deep within the networks of distributed systems, one often finds anomalies that affect their efficiency and performance. These anomalies are difficult to detect because the distributed systems may not have sufficient sensors to monitor the…

Computers and Society · Computer Science 2014-12-09 Freddy Chong Tat Chua , Ee-Peng Lim , Bernardo A. Huberman

We consider a number of fundamental statistical and graph problems in the message-passing model, where we have $k$ machines (sites), each holding a piece of data, and the machines want to jointly solve a problem defined on the union of the…

Data Structures and Algorithms · Computer Science 2013-07-29 David P. Woodruff , Qin Zhang

We study the problem of partitioning integer sequences in the one-pass data streaming model. Given is an input stream of integers $X \in \{0, 1, \dots, m \}^n$ of length $n$ with maximum element $m$, and a parameter $p$. The goal is to…

Data Structures and Algorithms · Computer Science 2014-07-08 Christian Konrad , László Kozma

Originated from distributed learning, federated learning enables privacy-preserved collaboration on a new abstracted level by sharing the model parameters only. While the current research mainly focuses on optimizing learning algorithms and…

Machine Learning · Computer Science 2020-09-17 Cong Wang , Yuanyuan Yang , Pengzhan Zhou

Frequency estimation in data streams is one of the classical problems in streaming algorithms. Following much research, there are now almost matching upper and lower bounds for the trade-off needed between the number of samples and the…

Computational Complexity · Computer Science 2023-01-16 Shachar Lovett , Jiapeng Zhang

Monitoring the performance of large shared computing systems such as the cloud computing infrastructure raises many challenging algorithmic problems. One common problem is to track users with the largest deviation from the norm (outliers),…

Databases · Computer Science 2009-07-20 Chiranjeeb Buragohain , Luca Foschini , Subhash Suri

We study distributed algorithms for some fundamental problems in data summarization. Given a communication graph $G$ of $n$ nodes each of which may hold a value initially, we focus on computing $\sum_{i=1}^N g(f_i)$, where $f_i$ is the…

Data Structures and Algorithms · Computer Science 2019-08-07 Hsin-Hao Su , Hoa T. Vu

We study the query version of the approximate heavy hitter and quantile problems. In the former problem, the input is a parameter $\varepsilon$ and a set $P$ of $n$ points in $\mathbb{R}^d$ where each point is assigned a color from a set…

Computational Geometry · Computer Science 2023-05-08 Peyman Afshani , Pingan Cheng , Aniket Basu Roy , Zhewei Wei

We introduce a new and increasingly relevant setting for distributed optimization in machine learning, where the data defining the optimization are distributed (unevenly) over an extremely large number of \nodes, but the goal remains to…

Machine Learning · Computer Science 2015-11-12 Jakub Konečný , Brendan McMahan , Daniel Ramage

As data volume grows extensively, data profiling helps to extract metadata of large-scale data. However, one kind of metadata, order statistics, is difficult to be computed because they are not mergeable or incremental. Thus, the limitation…

Data Structures and Algorithms · Computer Science 2020-06-29 Zhiwei Chen , Aoqian Zhang

We consider communication-efficient weighted and unweighted (uniform) random sampling from distributed data streams presented as a sequence of mini-batches of items. This is a natural model for distributed streaming computation, and our…

Data Structures and Algorithms · Computer Science 2020-02-26 Lorenz Hübschle-Schneider , Peter Sanders

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