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Many mathematical optimization algorithms fail to sufficiently explore the solution space of high-dimensional nonlinear optimization problems due to the curse of dimensionality. This paper proposes generative models as a complement to…

Neural and Evolutionary Computing · Computer Science 2021-05-05 Pouya Rezazadeh Kalehbasti , Michael D. Lepech , Samarpreet Singh Pandher

Segmentation of a colour image composed of different kinds of texture regions can be a hard problem, namely to compute for an exact texture fields and a decision of the optimum number of segmentation areas in an image when it contains…

Artificial Intelligence · Computer Science 2007-05-23 Vitorino Ramos , Fernando Muge

In this paper, we introduce a novel method for merging the weights of multiple pre-trained neural networks using a genetic algorithm called MeGA. Traditional techniques, such as weight averaging and ensemble methods, often fail to fully…

Neural and Evolutionary Computing · Computer Science 2024-07-01 Daniel Yun

The problem of solving a system of polynomial equations is one of the most fundamental problems in applied mathematics. Among them, the problem of solving a system of binomial equations form a important subclass for which specialized…

Algebraic Geometry · Mathematics 2015-03-03 Tianran Chen , Dhagash Mehta

We report on our efforts to implement overlap fermions on NVIDIA GPUs using CUDA, commenting on the algorithms used, implemetation details, and the performance of our code.

High Energy Physics - Lattice · Physics 2015-11-16 Nigel Cundy , Weonjong Lee

We discuss an implementation of molecular dynamics (MD) simulations on a graphic processing unit (GPU) in the NVIDIA CUDA language. We tested our code on a modern GPU, the NVIDIA GeForce 8800 GTX. Results for two MD algorithms suitable for…

Other Condensed Matter · Physics 2008-09-10 J. A. van Meel , A. Arnold , D. Frenkel , S. F. Portegies Zwart , R. G. Belleman

We exploit the widening margin in tensor-core performance between [FP64/FP32/FP16/INT8,FP64/FP32/FP16/FP8/INT8] on NVIDIA [Ampere,Hopper] GPUs to boost the performance of output accuracy-preserving mixed-precision computation of Genome-Wide…

Hypergraph partitioning is a pervasive NP-hard problem, and accelerating its computation on GPU can both slice time-to-solution and raise quality of results. In this work, we implement a multi-level hypergraph partitioning algorithm on GPU…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-17 Marco Ronzani , Cristina Silvano

We present the results obtained by using an evolution of our CUDA-based solution for the exploration, via a Breadth First Search, of large graphs. This latest version exploits at its best the features of the Kepler architecture and relies…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-12-24 Mauro Bisson , Massimo Bernaschi , Enrico Mastrostefano

Recently, Deep Neural Networks (DNNs) have recorded great success in handling medical and other complex classification tasks. However, as the sizes of a DNN model and the available dataset increase, the training process becomes more complex…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-08 Samson B. Akintoye , Liangxiu Han , Xin Zhang , Haoming Chen , Daoqiang Zhang

Deep neural network learning can be formulated as a non-convex optimization problem. Existing optimization algorithms, e.g., Adam, can learn the models fast, but may get stuck in local optima easily. In this paper, we introduce a novel…

Machine Learning · Computer Science 2019-03-12 Jiawei Zhang , Fisher B. Gouza

Parallel computing using accelerators has gained widespread research attention in the past few years. In particular, using GPUs for general purpose computing has brought forth several success stories with respect to time taken, cost, power,…

The primal-dual hybrid gradient (PDHG) method is one of the most popular algorithms for solving saddle point problems. However, when applying the PDHG method and its many variants to some real-world models commonly encountered in signal…

Optimization and Control · Mathematics 2025-06-10 Jintao Yu , Hongjin He

The IEEE 754-2008 standard recommends the correct rounding of some elementary functions. This requires to solve the Table Maker's Dilemma which implies a huge amount of CPU computation time. We consider in this paper accelerating such…

Mathematical Software · Computer Science 2013-06-06 Pierre Fortin , Mourad Gouicem , Stef Graillat

We describe a parallel approximation algorithm for maximizing monotone submodular functions subject to hereditary constraints on distributed memory multiprocessors. Our work is motivated by the need to solve submodular optimization problems…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-18 Shivaram Gopal , S M Ferdous , Hemanta K. Maji , Alex Pothen

Traffic simulation and digital-twin calibration is a challenging optimization problem with a limited simulation budget. Each trial requires an expensive simulation run, and the relationship between calibration inputs and model error is…

Machine Learning · Computer Science 2026-04-13 Abhilasha Saroj , Shaked Regev , Guanhao Xu , Jinghui Yuan , Roy Luo , Ross Wang

Optimizing the performance of computational fluid dynamics (CFD) applications accelerated by graphics processing units (GPUs) is crucial for efficient simulations. In this study, we employed a machine learning-based autotuning technique to…

Performance · Computer Science 2024-02-21 Weicheng Xue , Christohper John Roy

Discontinuous Galerkin (DG) methods for the numerical solution of partial differential equations have enjoyed considerable success because they are both flexible and robust: They allow arbitrary unstructured geometries and easy control of…

Numerical Analysis · Mathematics 2009-11-18 Andreas Klöckner , Tim Warburton , Jeffrey Bridge , Jan S. Hesthaven

In the context of the genome-wide association studies (GWAS), one has to solve long sequences of generalized least-squares problems; such a task has two limiting factors: execution time --often in the range of days or weeks-- and data…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-05-02 Lucas Beyer , Paolo Bientinesi

A projection-based immersed boundary method is dominated by sparse linear algebra routines. Using the open-source Cusp library, we observe a speedup (with respect to a single CPU core) which reflects the constraints of a bandwidth-dominated…

Computational Engineering, Finance, and Science · Computer Science 2016-04-12 Simon K Layton , Anush Krishnan , Lorena A. Barba
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