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Processors with large numbers of cores are becoming commonplace. In order to take advantage of the available resources in these systems, the programming paradigm has to move towards increased parallelism. However, increasing the level of…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-10-07 Ashkan Tousimojarad , Wim Vanderbauwhede

The Massive Parallel Computing (MPC) model gained popularity during the last decade and it is now seen as the standard model for processing large scale data. One significant shortcoming of the model is that it assumes to work on static…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-23 Giuseppe F. Italiano , Silvio Lattanzi , Vahab S. Mirrokni , Nikos Parotsidis

As deep neural networks (DNNs) become deeper, the training time increases. In this perspective, multi-GPU parallel computing has become a key tool in accelerating the training of DNNs. In this paper, we introduce a novel methodology to…

Numerical Analysis · Mathematics 2024-07-08 Chang-Ock Lee , Youngkyu Lee , Jongho Park

This article introduces a highly parallel algorithm for molecular dynamics simulations with short-range forces on single node multi- and many-core systems. The algorithm is designed to achieve high parallel speedups for strongly…

Computational Physics · Physics 2013-11-20 R. Meyer

In this paper we make a survey of modern parallel and distributed approaches to solve sum-type convex minimization problems come from ML applications.

Optimization and Control · Mathematics 2021-04-27 Darina Dvinskikh , Alexander Gasnikov , Alexander Rogozin , Alexander Beznosikov

Developing complex, real world graphics applications which leverage multiple GPUs and computers for interactive 3D rendering tasks is a complex task. It requires expertise in distributed systems and parallel rendering in addition to the…

Graphics · Computer Science 2018-02-23 Stefan Eilemann , David Steiner , Renato Pajarola

Mixed integer nonlinear programming (MINLP) problems are encountered in modeling a physical/industrial process consisting both nonlinearity and discrete selective parameters. There are variety of algorithms for solving MINLP problems most…

Optimization and Control · Mathematics 2024-05-17 Negin Bagherpour , Mahdi Sharifzadeh

The construction of Mapper has emerged in the last decade as a powerful and effective topological data analysis tool that approximates and generalizes other topological summaries, such as the Reeb graph, the contour tree, split, and joint…

Computer Vision and Pattern Recognition · Computer Science 2020-09-15 Mustafa Hajij , Basem Assiri , Paul Rosen

We discuss the opportunities for parallelization in the recently proposed QPALM-OCP algorithm, a solver tailored to quadratic programs arising in optimal control. A significant part of the computational work can be carried out independently…

Optimization and Control · Mathematics 2026-03-13 Pieter Pas , Kristoffer Fink Løwenstein , Daniele Bernardini , Panagiotis Patrinos

The paper aims at the development of an apparatus for analysis and construction of near optimal solutions of singularly perturbed (SP) optimal controls problems (that is, problems of optimal control of SP systems) considered on the infinite…

Optimization and Control · Mathematics 2014-08-20 Vladimir Gaitsgory , Sergei Rossomakhine

In this paper, first we give a sequential linear-time algorithm for the longest path problem in meshes. This algorithm can be considered as an improvement of [13]. Then based on this sequential algorithm, we present a constant-time parallel…

Data Structures and Algorithms · Computer Science 2012-01-24 Fatemeh Keshavarz-Kohjerdi , Alireza Bagheri

We propose a new parallel-in-time algorithm for solving optimal control problems constrained by discretized partial differential equations. Our approach, which is based on a deeper understanding of ParaExp, considers an overlapping…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-06 Felix Kwok , Djahou N Tognon

We propose an algorithm for generating explicit solutions of multiparametric mixed-integer convex programs to within a given suboptimality tolerance. The algorithm is applicable to a very general class of optimization problems, but is most…

Optimization and Control · Mathematics 2019-06-12 Danylo Malyuta , Behcet Acikmese

Task based parallel programming has shown competitive outcomes in many aspects of parallel programming such as efficiency, performance, productivity and scalability. Different approaches are used by different software development frameworks…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-09 Afshin Zafari

Parallelization techniques have become ubiquitous for accelerating inference and training of deep neural networks. Despite this, several operations are still performed in a sequential manner. For instance, the forward and backward passes…

Machine Learning · Computer Science 2023-10-30 Federico Danieli , Miguel Sarabia , Xavier Suau , Pau Rodríguez , Luca Zappella

Writing efficient hybrid parallel code is tedious, error-prone, and requires good knowledge of both parallel programming and multithreading such as MPI and OpenMP, resp. Therefore, we present a framework which is based on a job model that…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-03 Ralf-Peter Mundani , Marko Ljucović , Ernst Rank

Let a polyhedral convex set be given by a finite number of linear inequalities and consider the problem to project this set onto a subspace. This problem, called polyhedral projection problem, is shown to be equivalent to multiple objective…

Optimization and Control · Mathematics 2024-01-26 Andreas Löhne , Benjamin Weißing

We provide a multilevel approach for analysing performances of parallel algorithms. The main outcome of such approach is that the algorithm is described by using a set of operators which are related to each other according to the problem…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-18 Luisa D'Amore , Valeria Mele , Diego Romano , Giuliano Laccetti

Geometric programming problem is a powerful tool for solving some special type non-linear programming problems. It has a wide range of applications in optimization and engineering for solving some complex optimization problems. Many…

Data Structures and Algorithms · Computer Science 2010-03-25 A. K. Ojha , K. K. Biswal

We introduce a new embarrassingly parallel parameter learning algorithm for Markov random fields with untied parameters which is efficient for a large class of practical models. Our algorithm parallelizes naturally over cliques and, for…

Machine Learning · Statistics 2014-02-06 Yariv Dror Mizrahi , Misha Denil , Nando de Freitas