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We develop an algorithm to solve tridiagonal systems of linear equations, which appear in implicit finite-difference schemes of partial differential equations (PDEs), being the time-dependent Schr\"{o}dinger equation (TDSE) an ideal…

Computational Physics · Physics 2023-03-14 Yaroslav Lutsyshyn , Francisco Navarrete , Dieter Bauer

Ailon et al. [SICOMP'11] proposed self-improving algorithms for sorting and Delaunay triangulation (DT) when the input instances $x_1,\cdots,x_n$ follow some unknown \emph{product distribution}. That is, $x_i$ comes from a fixed unknown…

Computational Geometry · Computer Science 2020-08-24 Siu-Wing Cheng , Man-Kwun Chiu , Kai Jin , Man Ting Wong

In this paper we present a methodology for data accesses when solving batches of Tridiagonal and Pentadiagonal matrices that all share the same left-hand-side (LHS) matrix. The intended application is to the numerical solution of Partial…

Computational Physics · Physics 2021-07-13 Enda Carroll , Andrew Gloster , Miguel D. Bustamante , Lennon Ó' Náraigh

Decoupling approach presents a novel solution/alternative to the highly time-consuming fluid-thermal-structural simulation procedures when thermal effects and resultant displacements on machine tools are analyzed. Using high dimensional…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-31 Janine Glänzel , Andreas Naumann , Tharun Suresh Kumar

The recent advances in Deep Neural Networks (DNNs) stem from their exceptional performance across various domains. However, their inherent large size hinders deploying these networks on resource-constrained devices like edge, mobile, and…

Machine Learning · Computer Science 2024-01-22 Divya Jyoti Bajpai , Aastha Jaiswal , Manjesh Kumar Hanawal

The factorization of skew-symmetric matrices is a critically understudied area of dense linear algebra, particularly in comparison to that of general and symmetric matrices. While some algorithms can be adapted from the symmetric case, the…

Mathematical Software · Computer Science 2026-05-06 Ishna Satyarth , Chao Yin , Devin A. Matthews , Maggie Myers , Robert van de Geijn , RuQing G. Xu

With the advent of social networks and the web, the graph sizes have grown too large to fit in main memory precipitating the need for alternative approaches for an efficient, scalable evaluation of queries on graphs of any size. Here, we…

Databases · Computer Science 2019-05-15 Soumyava Das , Abhishek Santra , Jay Bodra , Sharma Chakravarthy

Combinatorial optimization is considered a promising class of problems in which quantum computers can show significant advantages. However, problems of practical relevance typically have more variables than current or foreseeable quantum…

Quantum Physics · Physics 2025-12-23 Mathias Schmid , Naeimeh Mohseni , Michael J. Hartmann

We extensively describe our recently established "divide-and-conquer" semiclassical method [M. Ceotto, G. Di Liberto and R. Conte, Phys. Rev. Lett. 119, 010401 (2017)] and propose a new implementation of it to increase the accuracy of…

Chemical Physics · Physics 2018-01-15 Giovanni Di Liberto , Riccardo Conte , Michele Ceotto

We consider the distributed computing problem of multiplying a set of vectors with a matrix. For this scenario, Li et al. recently presented a unified coding framework and showed a fundamental tradeoff between computational delay and…

Information Theory · Computer Science 2017-09-19 Albin Severinson , Alexandre Graell i Amat , Eirik Rosnes

Edge inference has become more widespread, as its diverse applications range from retail to wearable technology. Clusters of networked resource-constrained edge devices are becoming common, yet no system exists to split a DNN across these…

Networking and Internet Architecture · Computer Science 2022-10-25 Arjun Parthasarathy , Bhaskar Krishnamachari

A good parallelization strategy can significantly improve the efficiency or reduce the cost for the distributed training of deep neural networks (DNNs). Recently, several methods have been proposed to find efficient parallelization…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-01-12 Zhenkun Cai , Kaihao Ma , Xiao Yan , Yidi Wu , Yuzhen Huang , James Cheng , Teng Su , Fan Yu

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

We propose an algorithm to create a 3-colorable Delaunay Triangulation. The input of the problem we are trying to solve is a set X of n twodimensional points. The output is a 3-colorable two-dimensional Delaunay triangulation T for X U Y ,…

Computational Geometry · Computer Science 2018-12-27 Lucas Moutinho Bueno

In recent years, significant advances have been made in the design and evaluation of balanced (hyper)graph partitioning algorithms. We survey trends of the last decade in practical algorithms for balanced (hyper)graph partitioning together…

Divide and Conquer is a well known algorithmic procedure for solving many kinds of problem. In this procedure, the problem is partitioned into two parts until the problem is trivially solvable. Finding the distance of the closest pair is an…

Computational Geometry · Computer Science 2011-11-11 Mohammad Zaidul Karim , Nargis Akter

In a commonly-used version of the Simple Assembly Line Balancing Problem (SALBP-1) tasks are assigned to stations along an assembly line with a fixed cycle time in order to minimize the required number of stations. It has traditionally been…

Artificial Intelligence · Computer Science 2019-06-26 Carlos Alexandre X. Silva , Les Foulds , Humberto J. Longo

The 2-D discrete wavelet transform (DWT) can be found in the heart of many image-processing algorithms. Until recently, several studies have compared the performance of such transform on various shared-memory parallel architectures,…

Performance · Computer Science 2017-05-30 David Barina , Michal Kula , Michal Matysek , Pavel Zemcik

Multi-task learning has recently emerged as a promising solution for a comprehensive understanding of complex scenes. In addition to being memory-efficient, multi-task models, when appropriately designed, can facilitate the exchange of…

Computer Vision and Pattern Recognition · Computer Science 2024-10-10 Ivan Lopes , Tuan-Hung Vu , Raoul de Charette

Image segmentation is pivotal in medical image analysis, facilitating clinical diagnosis, treatment planning, and disease evaluation. Deep learning has significantly advanced automatic segmentation methodologies by providing superior…

Image and Video Processing · Electrical Eng. & Systems 2026-01-22 Zhengyong Huang , Ning Jiang , Xingwen Sun , Lihua Zhang , Peng Chen , Jens Domke , Yao Sui
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