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We provide the first streaming algorithm for computing a provable approximation to the $k$-means of sparse Big data. Here, sparse Big Data is a set of $n$ vectors in $\mathbb{R}^d$, where each vector has $O(1)$ non-zeroes entries, and…

Data Structures and Algorithms · Computer Science 2016-02-09 Artem Barger , Dan Feldman

Streaming data are increasingly present in real-world applications such as sensor measurements, satellite data feed, stock market, and financial data. The main characteristics of these applications are the online arrival of data…

Machine Learning · Computer Science 2020-07-01 Vinicius M. A. Souza , Denis M. dos Reis , Andre G. Maletzke , Gustavo E. A. P. A. Batista

We derive new time-space tradeoff lower bounds and algorithms for exactly computing statistics of input data, including frequency moments, element distinctness, and order statistics, that are simple to calculate for sorted data. We develop…

Computational Complexity · Computer Science 2013-09-17 Paul Beame , Raphael Clifford , Widad Machmouchi

We study algorithms for the sliding-window model, an important variant of the data-stream model, in which the goal is to compute some function of a fixed-length suffix of the stream. We extend the smooth-histogram framework of Braverman and…

Data Structures and Algorithms · Computer Science 2022-05-26 Robert Krauthgamer , David Reitblat

We give a space-optimal algorithm with update time O(log^2(1/eps)loglog(1/eps)) for (1+eps)-approximating the pth frequency moment, 0 < p < 2, of a length-n vector updated in a data stream. This provides a nearly exponential improvement in…

Data Structures and Algorithms · Computer Science 2010-07-26 Daniel M. Kane , Jelani Nelson , Ely Porat , David P. Woodruff

We consider the classic Euclidean $k$-median and $k$-means objective on data streams, where the goal is to provide a $(1+\varepsilon)$-approximation to the optimal $k$-median or $k$-means solution, while using as little memory as possible.…

Data Structures and Algorithms · Computer Science 2023-10-05 Vincent Cohen-Addad , David P. Woodruff , Samson Zhou

Ubiquitous sensors today emit high frequency streams of numerical measurements that reflect properties of human, animal, industrial, commercial, and natural processes. Shifts in such processes, e.g. caused by external events or internal…

Machine Learning · Computer Science 2025-04-04 Arik Ermshaus , Patrick Schäfer , Ulf Leser

The proliferation of sensors over the last years has generated large amounts of raw data, forming data streams that need to be processed. In many cases, cloud resources are used for such processing, exploiting their flexibility, but these…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-01 Rafael Tolosana-Calasanz , José Ángel Bañares , José-Manuel Colom

Monitoring the behavior of automated real-time stream processing systems has become one of the most relevant problems in real world applications. Such systems have grown in complexity relying heavily on high dimensional input data, and data…

Due to recent advances in data collection techniques, massive amounts of data are being collected at an extremely fast pace. Also, these data are potentially unbounded. Boundless streams of data collected from sensors, equipments, and other…

Databases · Computer Science 2012-03-12 T Soni Madhulatha

This paper proposes and evaluates a novel algorithm for streaming video over HTTP. The problem is formulated as a non-convex optimization problem which is constrained by the predicted available bandwidth, chunk deadlines, available video…

Networking and Internet Architecture · Computer Science 2019-01-23 Anis Elgabli , Vaneet Aggarwal

New approaches for data provenance and data management (DPDM) are required for mega science projects like the Square Kilometer Array, characterized by extremely large data volume and intense data rates, therefore demanding innovative and…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-12-13 Mahmoud S. Mahmoud , Andrew Ensor , Alain Biem , Bruce Elmegreen , Sergei Gulyaev

Sketches are probabilistic data structures that can provide approximate results within mathematically proven error bounds while using orders of magnitude less memory than traditional approaches. They are tailored for streaming data analysis…

Data Structures and Algorithms · Computer Science 2019-03-05 Fatih Taşyaran , Kerem Yıldırır , Kamer Kaya , Mustafa Kemal Taş

In differential privacy, $\textit{continual observation}$ refers to problems in which we wish to continuously release a function of a dataset that is revealed one element at a time. The challenge is to maintain a good approximation while…

Machine Learning · Computer Science 2025-03-07 Joel Daniel Andersson , Rasmus Pagh

Streaming algorithms are generally judged by the quality of their solution, memory footprint, and computational complexity. In this paper, we study the problem of maximizing a monotone submodular function in the streaming setting with a…

Machine Learning · Computer Science 2019-05-14 Ehsan Kazemi , Marko Mitrovic , Morteza Zadimoghaddam , Silvio Lattanzi , Amin Karbasi

Factorization machine (FM) variants are widely used for large scale real-time content recommendation systems, since they offer an excellent balance between model accuracy and low computational costs for training and inference. These systems…

Machine Learning · Computer Science 2025-01-03 Alex Shtoff , Elie Abboud , Rotem Stram , Oren Somekh

Parallel computing is very important to accelerate the performance of software systems. Additionally, considering that a recurring challenge is to process high data volumes continuously, stream processing emerged as a paradigm and software…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-14 Adriano Vogel , Sören Henning , Esteban Perez-Wohlfeil , Otmar Ertl , Rick Rabiser

Stream processing applications extract value from raw data through Directed Acyclic Graphs of data analysis tasks. Shared-nothing (SN) parallelism is the de-facto standard to scale stream processing applications. Given an application, SN…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-02 Vincenzo Gulisano , Hannaneh Najdataei , Yiannis Nikolakopoulos , Alessandro V. Papadopoulos , Marina Papatriantafilou , Philippas Tsigas

Problems involving the efficient arrangement of simple objects, as captured by bin packing and makespan scheduling, are fundamental tasks in combinatorial optimization. These are well understood in the traditional online and offline cases,…

Data Structures and Algorithms · Computer Science 2026-01-27 Graham Cormode , Pavel Veselý

Consistency requirements for state-of-the-art stream processing systems are defined in terms of delivery guarantees. Exactly-once is the strongest one and the most desirable for end-user. However, there are several issues regarding this…

Databases · Computer Science 2019-07-16 Artem Trofimov , Igor E. Kuralenok , Nikita Marshalkin , Boris Novikov