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Related papers: Space-Round Tradeoffs for MapReduce Computations

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Attribute reduction is a basic issue in knowledge representation and data mining. Rough sets provide a theoretical foundation for the issue. Matroids generalized from matrices have been widely used in many fields, particularly greedy…

Artificial Intelligence · Computer Science 2015-03-06 Aiping Huang , William Zhu

The MapReduce framework has firmly established itself as one of the most widely used parallel computing platforms for processing big data on tera- and peta-byte scale. Approaching it from a theoretical standpoint has proved to be…

Computational Complexity · Computer Science 2019-12-30 Fabian Frei , Koichi Wada

Submodular optimization has received significant attention in both practice and theory, as a wide array of problems in machine learning, auction theory, and combinatorial optimization have submodular structure. In practice, these problems…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-04 Paul Liu , Jan Vondrak

Since its introduction in 2004, the MapReduce framework has become one of the standard approaches in massive distributed and parallel computation. In contrast to its intensive use in practise, theoretical footing is still limited and only…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-12-19 Gero Greiner , Riko Jacob

In this thesis report, we have a survey on state-of-the-art methods for modelling resource utilization of MapReduce applications regard to its configuration parameters. After implementation of one of the algorithms in literature, we tried…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-03-21 Hamidreza Barati , Nasrin Jaberi

We develop a general framework for data-driven approximation of input-output maps between infinite-dimensional spaces. The proposed approach is motivated by the recent successes of neural networks and deep learning, in combination with…

Numerical Analysis · Mathematics 2021-06-21 Kaushik Bhattacharya , Bamdad Hosseini , Nikola B. Kovachki , Andrew M. Stuart

A wide variety of problems in machine learning, including exemplar clustering, document summarization, and sensor placement, can be cast as constrained submodular maximization problems. A lot of recent effort has been devoted to developing…

Data Structures and Algorithms · Computer Science 2016-08-15 Rafael da Ponte Barbosa , Alina Ene , Huy L. Nguyen , Justin Ward

We consider the time and space required for quantum computers to solve a wide variety of problems involving matrices, many of which have only been analyzed classically in prior work. Our main results show that for a range of linear algebra…

Computational Complexity · Computer Science 2025-11-03 Paul Beame , Niels Kornerup , Michael Whitmeyer

In this era of large-scale data, distributed systems built on top of clusters of commodity hardware provide cheap and reliable storage and scalable processing of massive data. Here, we review recent work on developing and implementing…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-07-28 Jiyan Yang , Xiangrui Meng , Michael W. Mahoney

In resource limited computing systems, sequence prediction models must operate under tight constraints. Various models are available that cater to prediction under these conditions that in some way focus on reducing the cost of…

Machine Learning · Computer Science 2023-10-09 Arjun Karuvally , J. Eliot B. Moss

We present a novel class of methods to compute functions of matrices or their action on vectors that are suitable for parallel programming. Solving appropriate simple linear systems of equations in parallel (or computing the inverse of…

Numerical Analysis · Mathematics 2022-10-10 Sergio Blanes

The Apriori algorithm that mines frequent itemsets is one of the most popular and widely used data mining algorithms. Now days many algorithms have been proposed on parallel and distributed platforms to enhance the performance of Apriori…

Databases · Computer Science 2017-02-22 Sudhakar Singh , Rakhi Garg , P. K. Mishra

MapReduce has proven to be one of the most useful paradigms in the revolution of distributed computing, where cloud services and cluster computing become the standard venue for computing. The federation of cloud and big data activities is…

Databases · Computer Science 2016-07-29 Foto Afrati , Shlomi Dolev , Shantanu Sharma , Jeffrey D. Ullman

Motivated by mobile edge computing and wireless data centers, we study a wireless distributed computing framework where the distributed nodes exchange information over a wireless interference network. Our framework follows the structure of…

Information Theory · Computer Science 2018-10-19 Fan Li , Jinyuan Chen , Zhiying Wang

We consider the problem of computing the data-cube marginals of a fixed order $k$ (i.e., all marginals that aggregate over $k$ dimensions), using a single round of MapReduce. The focus is on the relationship between the reducer size (number…

Databases · Computer Science 2015-09-30 Foto Afrati , Shantanu Sharma , Jeffrey D. Ullman , Jonathan R. Ullman

Cloud infrastructures enable the efficient parallel execution of data-intensive tasks such as entity resolution on large datasets. We investigate challenges and possible solutions of using the MapReduce programming model for parallel entity…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-10-18 Lars Kolb , Andreas Thor , Erhard Rahm

A myriad of applications ranging from engineering and scientific simulations, image and signal processing as well as high-sensitive data retrieval demand high processing power reaching up to teraflops for their efficient execution. While a…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-02 Patrick Mukala

MapReduce (and its open source implementation Hadoop) has become the de facto platform for processing large data sets. MapReduce offers a streamlined computational framework by interleaving sequential and parallel computation while hiding…

Computational Complexity · Computer Science 2019-04-22 Sungjin Im , Benjamin Moseley

Recently, MapReduce based spatial query systems have emerged as a cost effective and scalable solution to large scale spatial data processing and analytics. MapReduce based systems achieve massive scalability by partitioning the data and…

Databases · Computer Science 2015-09-04 Ablimit Aji , Vo Hoang , Fusheng Wang

Based on the computation of a superset of the implicit support, implicitization of a parametrically given hyper-surface is reduced to computing the nullspace of a numeric matrix. Our approach exploits the sparseness of the given parametric…

Algebraic Geometry · Mathematics 2014-11-12 Ioannis Emiris , Tatjana Kalinka , Christos Konaxis