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The field of deep learning has witnessed a remarkable shift towards extremely compute- and memory-intensive neural networks. These newer larger models have enabled researchers to advance state-of-the-art tools across a variety of fields.…

Machine Learning · Computer Science 2022-07-04 Daniel Nichols , Siddharth Singh , Shu-Huai Lin , Abhinav Bhatele

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

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

We study the question of whether parallelization in the exploration of the feasible set can be used to speed up convex optimization, in the local oracle model of computation. We show that the answer is negative for both deterministic and…

Optimization and Control · Mathematics 2019-06-21 Jelena Diakonikolas , Cristóbal Guzmán

The greedy sequential algorithm for maximal independent set (MIS) loops over the vertices in arbitrary order adding a vertex to the resulting set if and only if no previous neighboring vertex has been added. In this loop, as in many…

Data Structures and Algorithms · Computer Science 2012-02-16 Guy Blelloch , Jeremy Fineman , Julian Shun

We present a novel parallelisation scheme that simplifies the adaptation of learning algorithms to growing amounts of data as well as growing needs for accurate and confident predictions in critical applications. In contrast to other…

Machine Learning · Computer Science 2018-10-09 Michael Kamp , Mario Boley , Olana Missura , Thomas Gärtner

Optimistic parallelization is a promising approach for the parallelization of irregular algorithms: potentially interfering tasks are launched dynamically, and the runtime system detects conflicts between concurrent activities, aborting and…

Programming Languages · Computer Science 2012-06-28 Francesco Versaci , Keshav Pingali

This article presents the formal proof of correctness for a plane Delaunay triangulation algorithm. It consists in repeating a sequence of edge flippings from an initial triangulation until the Delaunay property is achieved. To describe…

Logic in Computer Science · Computer Science 2010-07-26 Jean-François Dufourd , Yves Bertot

Chance constrained program is computationally intractable due to the existence of chance constraints, which are randomly disturbed and should be satisfied with a probability. This paper proposes a two-layer randomized algorithm to address…

Optimization and Control · Mathematics 2019-11-11 Xun Shen , Jiancang Zhuang , Xingguo Zhang

Arrival of multicore systems has enforced a new scenario in computing, the parallel and distributed algorithms are fast replacing the older sequential algorithms, with many challenges of these techniques. The distributed algorithms provide…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-13 Rajendra Purohit , K R Chowdhary , S D Purohit

This paper investigates the parallel complexity of several non-equilibrium growth models. Invasion percolation, Eden growth, ballistic deposition and solid-on-solid growth are all seemingly highly sequential processes that yield…

Condensed Matter · Physics 2009-10-22 J. Machta , R. Greenlaw

Standard gradient-based iteration algorithms for optimization, such as gradient descent and its various proximal-based extensions to nonsmooth problems, are known to converge slowly for ill-conditioned problems, sometimes requiring many…

Numerical Analysis · Mathematics 2026-03-24 G. H. M. Araújo , O. A. Krzysik , H. De Sterck

We study how parallelism can speed up quantum simulation. A parallel quantum algorithm is proposed for simulating the dynamics of a large class of Hamiltonians with good sparse structures, called uniform-structured Hamiltonians, including…

Quantum Physics · Physics 2024-01-17 Zhicheng Zhang , Qisheng Wang , Mingsheng Ying

The need for scalable numerical solutions has motivated the development of asynchronous parallel algorithms, where a set of nodes run in parallel with little or no synchronization, thus computing with delayed information. This paper studies…

Optimization and Control · Mathematics 2017-08-18 Robert Hannah , Wotao Yin

In this article we consider the inversion problem for polynomially computable discrete functions. These functions describe behavior of many discrete systems and are used in model checking, hardware verification, cryptanalysis, computer…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-02-18 Alexander Semenov , Oleg Zaikin , Dmitry Bespalov , Mikhail Posypkin

Diversity can significantly increase the resilience of systems, by reducing the prevalence of shared vulnerabilities and making vulnerabilities harder to exploit. Work on software diversity for security typically creates variants of a…

Cryptography and Security · Computer Science 2019-07-23 Scott D. Stoller , Yanhong A. Liu

Previous parallel sorting algorithms do not scale to the largest available machines, since they either have prohibitive communication volume or prohibitive critical path length. We describe algorithms that are a viable compromise and…

Data Structures and Algorithms · Computer Science 2015-02-26 Michael Axtmann , Timo Bingmann , Peter Sanders , Christian Schulz

In view of the existing limitations of sequential computing, parallelization has emerged as an alternative in order to improve the speedup of numerical simulations. In the framework of evolutionary problems, space-time parallel methods…

Numerical Analysis · Mathematics 2025-02-13 Andrés Arrarás , Francisco J. Gaspar , Iñigo Jimenez-Ciga , Laura Portero

A novel parallel simulation algorithm on the GPU, implemented in CUDA and C++, is presented for the simulation of Brownian particles that display excluded volume repulsion and interact with long and short range forces. When an explicit…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-04 Francisco Carter , Nancy Hitschfeld , Cristóbal Navarro , Rodrigo Soto

We propose a decomposition framework for the parallel optimization of the sum of a differentiable function and a (block) separable nonsmooth, convex one. The latter term is typically used to enforce structure in the solution as, for…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-11-12 Francisco Facchinei , Simone Sagratella , Gesualdo Scutari