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Training of convolutional neural networks is a high dimensional and a non-convex optimization problem. At present, it is inefficient in situations where parametric learning rates can not be confidently set. Some past works have introduced…

Machine Learning · Computer Science 2023-04-06 Ujjwal Thakur , Anuj Sharma

Efficient solutions of large-scale, ill-conditioned and indefinite algebraic equations are ubiquitously needed in numerous computational fields, including multiphysics simulations, machine learning, and data science. Because of their…

Mathematical Software · Computer Science 2026-05-25 Xiaoye Sherry Li , Yang Liu

Solving inverse problems and achieving statistical rigour in landscape evolution models requires running many model realizations. Parallel computation is necessary to achieve this in a reasonable time. However, no previous algorithm is…

Computational Engineering, Finance, and Science · Computer Science 2019-01-23 Richard Barnes

This paper provides an introduction to the design of augmented data structures that offer an efficient representation of a mathematical sequence and fast sequential summation algorithms, which guarantee both logarithmic running time and…

Data Structures and Algorithms · Computer Science 2014-04-08 Vadim Stadnik

Matrix multiplication is integral to various scientific and engineering disciplines, including machine learning, image processing, and gaming. With the increasing data volumes in areas like machine learning, the demand for efficient…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-29 Temitayo Adefemi

Artificial Neural Networks (ANNs) have received increasing attention in recent years with applications that span a wide range of disciplines including vital domains such as medicine, network security and autonomous transportation. However,…

Artificial Intelligence · Computer Science 2017-01-19 Ludvig Ericson , Rendani Mbuvha

This paper presents a novel, high-performance, graphical processing unit-based algorithm for efficiently solving two-dimensional linear programs in batches. The domain of two-dimensional linear programs is particularly useful due to the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-14 John Charlton , Steve Maddock , Paul Richmond

In multi-core systems, various factors like inter-process communication, dependency, resource sharing and scheduling, level of parallelism, synchronization, number of available cores etc. influence the extent of possible High Performance…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-15 Urmila Shrawankar , Mayuri Joshi

In parallel simulation, convergence and parallelism are often seen as inherently conflicting objectives. Improved parallelism typically entails lighter local computation and weaker coupling, which unavoidably slow the global convergence.…

Graphics · Computer Science 2025-06-10 Lei Lan , Zixuan Lu , Chun Yuan , Weiwei Xu , Hao Su , Huamin Wang , Chenfanfu Jiang , Yin Yang

High-Performance Computing (HPC) platforms enable scientific software to achieve breakthroughs in many research fields such as physics, biology, and chemistry, by employing Research Software Engineering (RSE) techniques. These include 1)…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-16 Matan Rusanovsky , Re'em Harel , Lee-or Alon , Idan Mosseri , Harel Levin , Gal Oren

This study proposes a deep learning-based approach for discovering loops in programming code according to their potential for parallelization. Two genetic algorithm-based code generators were developed to produce two distinct types of code:…

Machine Learning · Computer Science 2025-10-03 Izavan dos S. Correia , Henrique C. T. Santos , Tiago A. E. Ferreira

System performance for networks composed of interconnected subsystems can be increased if the traditionally separated subsystems are jointly optimized. Recently, parallel and distributed optimization methods have emerged as a powerful tool…

Optimization and Control · Mathematics 2013-02-14 Ion Necoara , Valentin Nedelcu , Ioan Dumitrache

This paper presents a highly-parallelizable parallel-in-time algorithm for efficient solution of nonlinear time-periodic problems. It is based on the time-periodic extension of the Parareal method, known to accelerate sequential…

Numerical Analysis · Mathematics 2020-07-08 Iryna Kulchytska-Ruchka , Sebastian Schöps

In this paper, we propose a parallel optimization method for electronic structure calculations based on a single orbital-updating approximation. It is shown by our numerical experiments that the method is efficient and reliable for atomic…

Numerical Analysis · Mathematics 2015-11-20 Xiaoying Dai , Zhuang Liu , Xin Zhang , Aihui Zhou

Distributed Computation has been a recent trend in engineering research. Parallel Computation is widely used in different areas of Data Mining, Image Processing, Simulating Models, Aerodynamics and so forth. One of the major usage of…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-28 C Rashmi

We propose an optical parallel computation similar to quantum computation that can be realized by introducing pseudorandom phase sequences into classical optical fields with two orthogonal modes. Based on the pseudorandom phase sequences,…

General Physics · Physics 2017-02-24 Jian Fu

In this paper, we propose a parallel shooting algorithm for solving nonlinear model predictive control problems using sequential quadratic programming. This algorithm is built on a two-phase approach where we first test and assess…

Systems and Control · Electrical Eng. & Systems 2023-07-21 P. C. N. Verheijen , M. Haghi , M. Lazar , D. Goswami

We describe a system that simplifies the process of debugging programs produced by computer-aided parallelization tools. The system uses relative debugging techniques to compare serial and parallel executions in order to show where the…

Software Engineering · Computer Science 2007-05-23 Robert Hood , Gabriele Jost

The era of huge data necessitates highly efficient machine learning algorithms. Many common machine learning algorithms, however, rely on computationally intensive subroutines that are prohibitively expensive on large datasets. Oftentimes,…

Machine Learning · Computer Science 2023-09-26 Mo Tiwari

The Classic Howard's algorithm, a technique of resolution for discrete Hamilton-Jacobi equations, is of large use in applications for its high efficiency and good performances. A special beneficial characteristic of the method is the…

Numerical Analysis · Mathematics 2014-07-21 Adriano Festa