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Over the past decade, there has been increasing interest in distributed/parallel algorithms for processing large-scale graphs. By now, we have quite fast algorithms -- usually sublogarithmic-time and often $poly(\log\log n)$-time, or even…

Data Structures and Algorithms · Computer Science 2021-06-30 Amartya Shankha Biswas , Michal Dory , Mohsen Ghaffari , Slobodan Mitrović , Yasamin Nazari

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

This paper explores the multi-access distributed computing (MADC) model, a novel distributed computing framework where mapper and reducer nodes are distinct entities. Unlike traditional MapReduce frameworks, MADC leverages coding-theoretic…

Information Theory · Computer Science 2025-08-08 Shanuja Sasi , Onur Günlü

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

Designing and implementing efficient, provably correct parallel machine learning (ML) algorithms is challenging. Existing high-level parallel abstractions like MapReduce are insufficiently expressive while low-level tools like MPI and…

Machine Learning · Computer Science 2014-08-12 Yucheng Low , Joseph E. Gonzalez , Aapo Kyrola , Danny Bickson , Carlos E. Guestrin , Joseph Hellerstein

Designing and implementing efficient, provably correct parallel machine learning (ML) algorithms is challenging. Existing high-level parallel abstractions like MapReduce are insufficiently expressive while low-level tools like MPI and…

Machine Learning · Computer Science 2010-06-28 Yucheng Low , Joseph Gonzalez , Aapo Kyrola , Danny Bickson , Carlos Guestrin , Joseph M. Hellerstein

The main results of this paper are (I) a simulation algorithm which, under quite general constraints, transforms algorithms running on the Congested Clique into algorithms running in the MapReduce model, and (II) a distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-06-23 James W. Hegeman , Sriram V. Pemmaraju

Massively-parallel graph algorithms have received extensive attention over the past decade, with research focusing on three memory regimes: the superlinear regime, the near-linear regime, and the sublinear regime. The sublinear regime is…

Data Structures and Algorithms · Computer Science 2023-03-01 Orr Fischer , Adi Horowitz , Rotem Oshman

In many scientific domains, researchers are turning to large-scale behavioral simulations to better understand important real-world phenomena. While there has been a great deal of work on simulation tools from the high-performance computing…

Center-based clustering is a fundamental primitive for data analysis and becomes very challenging for large datasets. In this paper, we focus on the popular $k$-median and $k$-means variants which, given a set $P$ of points from a metric…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-01 Alessio Mazzetto , Andrea Pietracaprina , Geppino Pucci

One typical use case of large-scale distributed computing in data centers is to decompose a computation job into many independent tasks and run them in parallel on different machines, sometimes known as the "embarrassingly parallel"…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-04-07 Da Wang , Gauri Joshi , Gregory Wornell

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 consider the massively parallel computation (MPC) model, which is a theoretical abstraction of large-scale parallel processing models such as MapReduce. In this model, assuming the widely believed 1-vs-2-cycles conjecture, solving many…

Data Structures and Algorithms · Computer Science 2023-10-31 Yi-Jun Chang , Da Wei Zheng

Load balance is important for MapReduce to reduce job duration, increase parallel efficiency, etc. Previous work focuses on coarse-grained scheduling. This study concerns fine-grained scheduling on MapReduce operations. Each operation…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-04-15 Liya Fan , Bo Gao , Xi Sun , Fa Zhang , Zhiyong Liu

We present a space and time efficient practical parallel algorithm for approximating the diameter of massive weighted undirected graphs on distributed platforms supporting a MapReduce-like abstraction. The core of the algorithm is a…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-10 Matteo Ceccarello , Andrea Pietracaprina , Geppino Pucci , Eli Upfal

The Massively Parallel Computation (MPC) model serves as a common abstraction of many modern large-scale parallel computation frameworks and has recently gained a lot of importance, especially in the context of classic graph problems.…

Data Structures and Algorithms · Computer Science 2018-07-20 Sebastian Brandt , Manuela Fischer , Jara Uitto

Particle filtering is a numerical Bayesian technique that has great potential for solving sequential estimation problems involving non-linear and non-Gaussian models. Since the estimation accuracy achieved by particle filters improves as…

Computation · Statistics 2017-11-22 Jeyarajan Thiyagalingam , Lykourgos Kekempanos , Simon Maskell

Nowadays many companies have available large amounts of raw, unstructured data. Among Big Data enabling technologies, a central place is held by the MapReduce framework and, in particular, by its open source implementation, Apache Hadoop.…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-01-18 Eugenio Gianniti , Danilo Ardagna , Michele Ciavotta , Mauro Passacantando

Identifying the connected components of a graph, apart from being a fundamental problem with countless applications, is a key primitive for many other algorithms. In this paper, we consider this problem in parallel settings. Particularly,…

Data Structures and Algorithms · Computer Science 2020-03-13 Soheil Behnezhad , Laxman Dhulipala , Hossein Esfandiari , Jakub Łącki , Vahab Mirrokni

This paper is about a real-time model predictive control (MPC) algorithm for large-scale, structured linear systems with polytopic state and control constraints. The proposed controller receives the current state measurement as an input and…

Optimization and Control · Mathematics 2019-03-19 Yuning Jiang , Juraj Oravec , Boris Houska , Michal Kvasnica