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We present a novel application of the recently developed AAA algorithm to the solution of Laplace 2D problems; an application to conformal mapping is also shown as a particular case. These classes of problems have also been addressed by…

Numerical Analysis · Mathematics 2020-01-28 Stefano Costa

We propose a method which allows the generalization of the Landau lattice gauge-fixing procedure to generic covariant gauges. We report preliminary numerical results showing how the procedure works for $SU(2)$ and $SU(3)$. We also report…

High Energy Physics - Lattice · Physics 2009-10-28 L. Giusti

The understanding of adaptive algorithms for SDEs is an open area where many issues related to both convergence and stability (long time behaviour) of algorithms are unresolved. This paper considers a very simple adaptive algorithm, based…

Numerical Analysis · Mathematics 2007-05-23 H. Lamba , J. C. Mattingly , A. M. Stuart

The design space of networked embedded systems is very large, posing challenges to the optimisation of such platforms when it comes to support applications with real-time guarantees. Recent research has shown that a number of inter-related…

Performance · Computer Science 2020-07-21 Leandro Soares Indrusiak , Robert I. Davis , Piotr Dziurzanski

The Expectation-Maximization (EM) algorithm has been predominantly used to approximate the maximum likelihood estimation of the location-scale Gaussian mixtures. However, when the models are over-specified, namely, the chosen number of…

Machine Learning · Statistics 2022-05-24 Tongzheng Ren , Fuheng Cui , Sujay Sanghavi , Nhat Ho

The performance of deep neural networks, such as Deep Belief Networks formed by Restricted Boltzmann Machines (RBMs), strongly depends on their training, which is the process of adjusting their parameters. This process can be posed as an…

Neural and Evolutionary Computing · Computer Science 2019-07-16 S. Ivvan Valdez , Alfonso Rojas-Domínguez

Evolutionary algorithms are well suited for solving the knapsack problem. Some empirical studies claim that evolutionary algorithms can produce good solutions to the 0-1 knapsack problem. Nonetheless, few rigorous investigations address the…

Neural and Evolutionary Computing · Computer Science 2014-10-07 Jun He , Boris Mitavskiy , Yuren Zhou

Repair operators are often used for constraint handling in constrained combinatorial optimization. We investigate the (1+1)~EA equipped with a tailored jump-and-repair operation that can be used to probabilistically repair infeasible…

Neural and Evolutionary Computing · Computer Science 2023-01-24 Luke Branson , Andrew M. Sutton

In this paper, a new structure of cooperative learning automata so-called extended learning automata (eDLA) is introduced. Based on the proposed structure, a new iterative randomized heuristic algorithm for finding optimal sub-graph in a…

Artificial Intelligence · Computer Science 2013-08-14 M. R. Mollakhalili Meybodi , M. R. Meybodi

Large Language Models (LLMs) have unveiled remarkable capabilities in understanding and generating both natural language and code, but LLM reasoning is prone to hallucination and struggle with complex, novel scenarios, often getting stuck…

Neural and Evolutionary Computing · Computer Science 2025-05-12 Antonio Jimeno Yepes , Pieter Barnard

Continuum robots, known for their high flexibility and adaptability, offer immense potential for applications such as medical surgery, confined-space inspections, and wearable devices. However, their non-linear elastic nature and complex…

Robotics · Computer Science 2024-10-25 Po-Yu Hsieh , June-Hao Hou

Real-world optimization problems often involve stochastic and dynamic components. Evolutionary algorithms are particularly effective in these scenarios, as they can easily adapt to uncertain and changing environments but often uncertainty…

Neural and Evolutionary Computing · Computer Science 2024-04-10 Ishara Hewa Pathiranage , Frank Neumann , Denis Antipov , Aneta Neumann

Standard evolutionary optimization algorithms assume that the evaluation of the objective and constraint functions is straightforward and computationally cheap. However, in many real-world optimization problems, these evaluations involve…

Neural and Evolutionary Computing · Computer Science 2022-12-09 Jakub Kudela , Radomil Matousek

A new algorithm developed to perform autonomous fitting of gravitational microlensing lightcurves is presented. The new algorithm is conceptually simple, versatile and robust, and parallelises trivially; it combines features of extant…

Instrumentation and Methods for Astrophysics · Physics 2015-06-25 Vinesh Rajpaul

Evolutionary Algorithms (EAs) employ random or simplistic selection methods, limiting their exploration of solution spaces and convergence to optimal solutions. The randomness in performing crossover or mutations may limit the model's…

Neural and Evolutionary Computing · Computer Science 2025-03-06 Shady Ali , Mahmoud Ashraf , Seif Hegazy , Fatty Salem , Hoda Mokhtar , Mohamed Medhat Gaber , Mohamed Taher Alrefaie

In machine learning, nonconvex optimization problems with multiple local optimums are often encountered. Graduated Optimization Algorithm (GOA) is a popular heuristic method to obtain global optimums of nonconvex problems through…

Machine Learning · Computer Science 2017-07-11 Li Chen , Shuisheng Zhou , Zhuan Zhang

This paper focuses on the distributed optimization of stochastic saddle point problems. The first part of the paper is devoted to lower bounds for the centralized and decentralized distributed methods for smooth (strongly) convex-(strongly)…

Machine Learning · Computer Science 2025-04-28 Aleksandr Beznosikov , Valentin Samokhin , Alexander Gasnikov

We present an optimizer which uses Bayesian optimization to tune the system parameters of distributed stochastic gradient descent (SGD). Given a specific context, our goal is to quickly find efficient configurations which appropriately…

Machine Learning · Statistics 2016-12-04 Valentin Dalibard , Michael Schaarschmidt , Eiko Yoneki

In this paper we present and explore the performance of Landau gauge fixing in GPUs using CUDA. We consider the steepest descent algorithm with Fourier acceleration, and compare the GPU performance with a parallel CPU implementation. Using…

High Energy Physics - Lattice · Physics 2012-10-12 Nuno Cardoso , Paulo J. Silva , Pedro Bicudo , Orlando Oliveira

An optimal guidance method is developed that reduces sensitivity to parameters in the dynamic model. The method combines a previously developed method for guidance and control using adaptive Legendre-Gauss-Radau (LGR) collocation and a…

Optimization and Control · Mathematics 2024-08-09 Katrina L. Winkler , Anil V. Rao