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The use of Model Predictive Control in industry is steadily increasing as more complicated problems can be addressed. Due to that online optimization is usually performed, the main bottleneck with Model Predictive Control is the relatively…

Optimization and Control · Mathematics 2014-01-31 Isak Nielsen , Daniel Axehill

As a fundamental tool in hierarchical graph clustering, computing connected components has been a central problem in large-scale data mining. While many known algorithms have been developed for this problem, they are either not scalable in…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-30 Jakub Łącki , Vahab Mirrokni , Michał Włodarczyk

A new parallel algorithm for simulating Ising spin systems is presented. The sequential prototype is the n-fold way algorithm cite{BKL75}, which is efficient but is hard to parallelize using conservative methods. Our parallel algorithm is…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Boris Lubachevsky , Alan Weiss

Quasi-2D Coulomb systems are of fundamental importance and have attracted much attention in many areas nowadays. Their reduced symmetry gives rise to interesting collective behaviors, but also brings great challenges for particle-based…

Numerical Analysis · Mathematics 2025-02-05 Zecheng Gan , Xuanzhao Gao , Jiuyang Liang , Zhenli Xu

The One Sided Crossing Minimization (OSCM) problem is an optimization problem in graph drawing that aims to minimize the number of edge crossings in bipartite graph layouts. It has practical applications in areas such as network…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-30 Bogdan-Ioan Popa , Adrian-Marius Dumitran , Livia Magureanu

The Massively Parallel Computation (MPC) model serves as a common abstraction of many modern large-scale data processing frameworks, and has been receiving increasingly more attention over the past few years, especially in the context of…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-08 Danupon Nanongkai , Michele Scquizzato

Specialized function gradient computing hardware could greatly improve the performance of state-of-the-art optimization algorithms, e.g., based on gradient descent or conjugate gradient methods that are at the core of control, machine…

Persistent homology is a popular and powerful tool for capturing topological features of data. Advances in algorithms for computing persistent homology have reduced the computation time drastically -- as long as the algorithm does not…

Computational Geometry · Computer Science 2013-10-03 Ulrich Bauer , Michael Kerber , Jan Reininghaus

Maintaining a $k$-core decomposition quickly in a dynamic graph has important applications in network analysis. The main challenge for designing efficient exact algorithms is that a single update to the graph can cause significant global…

Data Structures and Algorithms · Computer Science 2023-09-28 Quanquan C. Liu , Jessica Shi , Shangdi Yu , Laxman Dhulipala , Julian Shun

On modern parallel architectures, the cost of synchronization among processors can often dominate the cost of floating-point computation. Several modifications of the existing methods have been proposed in order to keep the communication…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-12-10 Qinmeng Zou , Frederic Magoules

The future of main memory appears to lie in the direction of new technologies that provide strong capacity-to-performance ratios, but have write operations that are much more expensive than reads in terms of latency, bandwidth, and energy.…

Data Structures and Algorithms · Computer Science 2017-10-10 Naama Ben-David , Guy E. Blelloch , Jeremy T. Fineman , Phillip B. Gibbons , Yan Gu , Charles McGuffey , Julian Shun

High Performance Computing (HPC) aims at providing reasonably fast computing solutions to scientific and real life problems. The advent of multicore architectures is noticeable in the HPC history, because it has brought the underlying…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-07 Claude Tadonki

A novel language system has given rise to promising alternatives to standard formal and processor network models of computation. An interstring linked with a abstract machine environment, shares sub-expressions, transfers data, and…

Programming Languages · Computer Science 2010-05-31 Alexander Victor Berka

We propose HAMSI (Hessian Approximated Multiple Subsets Iteration), which is a provably convergent, second order incremental algorithm for solving large-scale partially separable optimization problems. The algorithm is based on a local…

The growing interest for high dimensional and functional data analysis led in the last decade to an important research developing a consequent amount of techniques. Parallelized algorithms, which consist in distributing and treat the data…

Statistics Theory · Mathematics 2017-10-24 Antoine Godichon-Baggioni , Sofiane Saadane

We present fast algorithms for approximate shortest paths in the massively parallel computation (MPC) model. We provide randomized algorithms that take $poly(\log{\log{n}})$ rounds in the near-linear memory MPC model. Our results are for…

Data Structures and Algorithms · Computer Science 2025-05-20 Michal Dory , Shaked Matar

We give algorithms for geometric graph problems in the modern parallel models inspired by MapReduce. For example, for the Minimum Spanning Tree (MST) problem over a set of points in the two-dimensional space, our algorithm computes a…

Data Structures and Algorithms · Computer Science 2014-01-07 Alexandr Andoni , Aleksandar Nikolov , Krzysztof Onak , Grigory Yaroslavtsev

We present scalable parallel algorithms with sublinear per-processor communication volume and low latency for several fundamental problems related to finding the most relevant elements in a set, for various notions of relevance: We begin…

Data Structures and Algorithms · Computer Science 2015-10-20 Lorenz Hübschle-Schneider , Peter Sanders , Ingo Müller

Nucleus decompositions have been shown to be a useful tool for finding dense subgraphs. The coreness value of a clique represents its density based on the number of other cliques it is adjacent to. One useful output of nucleus decomposition…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-23 Jessica Shi , Laxman Dhulipala , Julian Shun

We study algorithms for approximating pairwise similarity matrices that arise in natural language processing. Generally, computing a similarity matrix for $n$ data points requires $\Omega(n^2)$ similarity computations. This quadratic…

Machine Learning · Computer Science 2022-04-28 Archan Ray , Nicholas Monath , Andrew McCallum , Cameron Musco