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Streaming principal component analysis (PCA) is an integral tool in large-scale machine learning for rapidly estimating low-dimensional subspaces from very high-dimensional data arriving at a high rate. However, modern datasets increasingly…

Signal Processing · Electrical Eng. & Systems 2025-04-09 Kyle Gilman , David Hong , Jeffrey A. Fessler , Laura Balzano

As supported by abundant experimental evidence, neural networks are state-of-the-art for many approximation tasks in high-dimensional spaces. Still, there is a lack of a rigorous theoretical understanding of what they can approximate, at…

Numerical Analysis · Mathematics 2024-06-24 Elena Celledoni , James Jackaman , Davide Murari , Brynjulf Owren

Streaming computations on massive data sets are an attractive candidate for parallelization, particularly when they exhibit independence (and hence data parallelism) between items in the stream. However, some streaming computations are…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-16 Stephen Timcheck , Jeremy Buhler

Many tasks in machine learning and data mining, such as data diversification, non-parametric learning, kernel machines, clustering etc., require extracting a small but representative summary from a massive dataset. Often, such problems can…

Machine Learning · Computer Science 2018-09-17 Ashkan Norouzi-Fard , Jakub Tarnawski , Slobodan Mitrović , Amir Zandieh , Aida Mousavifar , Ola Svensson

Estimating the size of the maximum matching is a canonical problem in graph algorithms, and one that has attracted extensive study over a range of different computational models. We present improved streaming algorithms for approximating…

Data Structures and Algorithms · Computer Science 2016-11-15 Graham Cormode , Hossein Jowhari , Morteza Monemizadeh , S. Muthukrishnan

The data broadcast problem is to find a schedule for broadcasting a given set of messages over multiple channels. The goal is to minimize the cost of the broadcast plus the expected response time to clients who periodically and…

Data Structures and Algorithms · Computer Science 2016-01-19 Claire Kenyon , Nicolas Schabanel , Neal Young

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

Triangle counting and sampling are two fundamental problems for streaming algorithms. Arguably, designing sampling algorithms is more challenging than their counting variants. It may be noted that triangle counting has received far greater…

Data Structures and Algorithms · Computer Science 2024-05-17 Arijit Bishnu , Arijit Ghosh , Gopinath Mishra , Sayantan Sen

Parameterized complexity attempts to give a more fine-grained analysis of the complexity of problems: instead of measuring the running time as a function of only the input size, we analyze the running time with respect to additional…

Data Structures and Algorithms · Computer Science 2019-11-22 Rajesh Chitnis , Graham Cormode

Distributed Stream Processing Engines (DSPEs) target applications related to continuous computation, online machine learning and real-time query processing. DSPEs operate on high volume of data by applying lightweight operations on…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-06 Muhammad Anis Uddin Nasir

In this paper, we consider a recursive estimation problem for linear regression where the signal to be estimated admits a sparse representation and measurement samples are only sequentially available. We propose a convergent parallel…

Optimization and Control · Mathematics 2017-12-12 Yang Yang , Mengyi Zhang , Marius Pesavento , Daniel P. Palomar

Data streaming relies on continuous queries to process unbounded streams of data in a real-time fashion. It is commonly demanding in computation capacity, given that the relevant applications involve very large volumes of data. Data…

Data Structures and Algorithms · Computer Science 2016-06-16 Vincenzo Gulisano , Yiannis Nikolakopoulos , Daniel Cederman , Marina Papatriantafilou , Philippas Tsigas

Graph partitioning is an important preprocessing step to distributed graph processing. In edge partitioning, the edge set of a given graph is split into $k$ equally-sized partitions, such that the replication of vertices across partitions…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-22 Ruben Mayer , Kamil Orujzade , Hans-Arno Jacobsen

Time series are difficult to monitor, summarize and predict. Segmentation organizes time series into few intervals having uniform characteristics (flatness, linearity, modality, monotonicity and so on). For scalability, we require fast…

Databases · Computer Science 2007-05-23 Daniel Lemire

One of the most interesting tools that have recently entered the data science toolbox is topological data analysis (TDA). With the explosion of available data sizes and dimensions, identifying and extracting the underlying structure of a…

Computational Geometry · Computer Science 2023-06-26 Seonmi Choi , Jinseok Oh , Jeong Rye Park , Seung Yeop Yang , Hongdae Yun

The study of parameterized streaming complexity on graph problems was initiated by Fafianie et al. (MFCS'14) and Chitnis et al. (SODA'15 and SODA'16). Simply put, the main goal is to design streaming algorithms for parameterized problems…

Computational Complexity · Computer Science 2019-10-03 Arijit Bishnu , Arijit Ghosh , Sudeshna Kolay , Gopinath Mishra , Saket Saurabh

Maximum coverage and minimum set cover problems --collectively called coverage problems-- have been studied extensively in streaming models. However, previous research not only achieve sub-optimal approximation factors and space…

Data Structures and Algorithms · Computer Science 2017-03-13 Mohammadhossein Bateni , Hossein Esfandiari , Vahab Mirrokni

An increasing number of scientific applications rely on stream processing for generating timely insights from data feeds of scientific instruments, simulations, and Internet-of-Thing (IoT) sensors. The development of streaming applications…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-13 Andre Luckow , George Chantzialexiou , Shantenu Jha

We study the classical scheduling problem on parallel machines %with precedence constraints where the precedence graph has the bounded depth $h$. Our goal is to minimize the maximum completion time. We focus on developing approximation…

Data Structures and Algorithms · Computer Science 2023-02-02 Bin Fu , Yumei Huo , Hairong Zhao

The growing popularity of dynamic applications such as social networks provides a promising way to detect valuable information in real time. Efficient analysis over high-speed data from dynamic applications is of great significance. Data…

Databases · Computer Science 2018-09-05 Youhuan Li , Lei Zou , M. Tamer Ozsu , Dongyan Zhao