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We propose a parallel adaptive constraint-tightening approach to solve a linear model predictive control problem for discrete-time systems, based on inexact numerical optimization algorithms and operator splitting methods. The underlying…

Optimization and Control · Mathematics 2015-03-24 Laura Ferranti , Tamas Keviczky

Today, very large amounts of data are produced and stored in all branches of society including science. Mining these data meaningfully has become a considerable challenge and is of the broadest possible interest. The size, both in numbers…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-11 Andreas Vitalis

This report discusses the implementation of two parallel algorithms on a distributed memory system for studying vortex dynamics in type-II superconductors. These algorithms are the same as that implemented for classical molecular dynamics…

Superconductivity · Physics 2007-05-23 Mahesh Chandran

This paper proposes a parallel numerical algorithm to simulate the flow and the transport in a discrete fracture network taking into account the mass exchanges with the surrounding matrix. The discretization of the Darcy fluxes is based on…

Numerical Analysis · Mathematics 2016-11-18 Feng Xing , Roland Masson , Simon Lopez

The ability to leverage large-scale hardware parallelism has been one of the key enablers of the accelerated recent progress in machine learning. Consequently, there has been considerable effort invested into developing efficient parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-19 Vitaly Aksenov , Dan Alistarh , Janne H. Korhonen

In this paper, we consider the problem of scheduling an application on a parallel computational platform. The application is a particular task graph, either a linear chain of tasks, or a set of independent tasks. The platform is made of…

Data Structures and Algorithms · Computer Science 2012-10-18 Guillaume Aupy , Anne Benoit

We propose both serial and parallel proximal (linearized) alternating direction method of multipliers (ADMM) algorithms for training residual neural networks. In contrast to backpropagation-based approaches, our methods inherently mitigate…

Machine Learning · Computer Science 2025-04-01 Jintao Xu , Yifei Li , Wenxun Xing

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

Collision-free navigation in cluttered environments with static and dynamic obstacles is essential for many multi-robot tasks. Dynamic obstacles may also be interactive, i.e., their behavior varies based on the behavior of other entities.…

Robotics · Computer Science 2024-05-21 Baskın Şenbaşlar , Gaurav S. Sukhatme

The effectiveness of a new algorithm, parallel tempering, is studied for numerical simulations of biological molecules. These molecules suffer from a rough energy landscape. The resulting slowing down in numerical simulations is overcome by…

Chemical Physics · Physics 2009-10-30 Ulrich H. E. Hansmann

An efficient numerical algorithm is presented for massively parallel simulations of dispersion-managed wavelength-division-multiplexed optical fiber systems. The algorithm is based on a weak nonlinearity approximation and independent…

Pattern Formation and Solitons · Physics 2009-11-07 P. M. Lushnikov

Motivated by the L\'evy foraging hypothesis -- the premise that various animal species have adapted to follow L\'evy walks to optimize their search efficiency -- we study the parallel hitting time of L\'evy walks on the infinite…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-08 Andrea Clementi , Francesco d'Amore , George Giakkoupis , Emanuele Natale

This paper addresses consensus optimization problems in a multi-agent network, where all agents collaboratively find a minimizer for the sum of their private functions. We develop a new decentralized algorithm in which each agent…

Optimization and Control · Mathematics 2019-07-03 Xianghui Mao , Kun Yuan , Yubin Hu , Yuantao Gu , Ali H. Sayed , Wotao Yin

Many clustering applications in machine learning and data mining rely on solving metric-constrained optimization problems. These problems are characterized by $O(n^3)$ constraints that enforce triangle inequalities on distance variables…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-30 Cameron Ruggles , Nate Veldt , David F. Gleich

Sequential computation is well understood but does not scale well with current technology. Within the next decade, systems will contain large numbers of processors with potentially thousands of processors per chip. Despite this, many…

Hardware Architecture · Computer Science 2015-11-17 James Hanlon

Recent years have witnessed the surge of asynchronous parallel (async-parallel) iterative algorithms due to problems involving very large-scale data and a large number of decision variables. Because of asynchrony, the iterates are computed…

Optimization and Control · Mathematics 2021-02-05 Zhimin Peng , Yangyang Xu , Ming Yan , Wotao Yin

We present improved simulations of three-dimensional self avoiding walks with one end attached to an impenetrable surface on the simple cubic lattice. This surface can either be a-thermal, having thus only an entropic effect, or attractive.…

Soft Condensed Matter · Physics 2009-11-10 Peter Grassberger

Researchers have designed many algorithms to measure the distances between graph nodes, such as average hitting times of random walks, cosine distances from DeepWalk, personalized PageRank, etc. Successful although these algorithms are,…

Discrete Mathematics · Computer Science 2020-12-02 Enzhi Li , Zhengyi Le

We present two parallel optimization algorithms for a convex function $f$. The first algorithm optimizes over linear inequality constraints in a Hilbert space, $\mathbb H$, and the second over a non convex polyhedron in $\mathbb R^n$. The…

Optimization and Control · Mathematics 2025-10-22 E. Dov Neimand , Serban Sabau

Deep learning (DL) models are piquing high interest and scaling at an unprecedented rate. To this end, a handful of tiled accelerators have been proposed to support such large-scale training tasks. However, these accelerators often…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-07 Jiahao Fang , Huizheng Wang , Qize Yang , Dehao Kong , Xu Dai , Jinyi Deng , Yang Hu , Shouyi Yin