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This paper introduces AdaSwarm, a novel gradient-free optimizer which has similar or even better performance than the Adam optimizer adopted in neural networks. In order to support our proposed AdaSwarm, a novel Exponentially weighted…

Neural and Evolutionary Computing · Computer Science 2024-05-28 Rohan Mohapatra , Snehanshu Saha , Carlos A. Coello Coello , Anwesh Bhattacharya , Soma S. Dhavala , Sriparna Saha

Task learning in neural networks typically requires finding a globally optimal minimizer to a loss function objective. Conventional designs of swarm based optimization methods apply a fixed update rule, with possibly an adaptive step-size…

Machine Learning · Computer Science 2022-11-29 Chandrajit Bajaj , Omatharv Bharat Vaidya , Yi Wang

Training Artificial Neural Networks (ANNs) with Stochastic Gradient Descent (SGD) frequently encounters difficulties, including substantial computing expense and the risk of converging to local optima, attributable to its dependence on…

Neural and Evolutionary Computing · Computer Science 2025-06-23 Gautam Siddharth Kashyap , Md Tabrez Nafis , Samar Wazir

Convolved Gaussian Process (CGP) is able to capture the correlations not only between inputs and outputs but also among the outputs. This allows a superior performance of using CGP than standard Gaussian Process (GP) in the modelling of…

Neural and Evolutionary Computing · Computer Science 2017-09-14 Gang Cao , Edmund M-K Lai , Fakhrul Alam

The goal of this paper is twofold. First, it explores hybrid evolutionary-swarm metaheuristics that combine the features of PSO and GA in a sequential, parallel and consecutive manner in comparison with their standard basic form: Genetic…

Neural and Evolutionary Computing · Computer Science 2025-08-04 Piotr Urbańczyk , Aleksandra Urbańczyk , Magdalena Król , Leszek Rutkowski , Marek Kisiel-Dorohinicki

We introduce a new Swarm-Based Gradient Descent (SBGD) method for non-convex optimization. The swarm consists of agents, each is identified with a position, ${\mathbf x}$, and mass, $m$. The key to their dynamics is communication: masses…

Numerical Analysis · Mathematics 2024-05-01 Jingcheng Lu , Eitan Tadmor , Anil Zenginoglu

Particle Swarm Optimization (PSO) has emerged as a powerful metaheuristic global optimization approach over the past three decades. Its appeal lies in its ability to tackle complex multidimensional problems that defy conventional…

Neural and Evolutionary Computing · Computer Science 2023-12-18 Arun K Pujari , Sowmini Devi Veeramachaneni

All metaheuristic optimization algorithms require some initialization, and the initialization for such optimizers is usually carried out randomly. However, initialization can have some significant influence on the performance of such…

Neural and Evolutionary Computing · Computer Science 2020-03-26 Qian Li , San-Yang Liu , Xin-She Yang

We propose a new metaheuristic training scheme that combines Stochastic Gradient Descent (SGD) and Discrete Optimization in an unconventional way. Our idea is to define a discrete neighborhood of the current SGD point containing a number of…

Machine Learning · Computer Science 2019-06-05 Matteo Fischetti , Matteo Stringher

Metaheuristic algorithms are powerful tools for global optimization, particularly for non-convex and non-differentiable problems where exact methods are often impractical. Particle-based optimization methods, inspired by swarm intelligence…

Optimization and Control · Mathematics 2026-03-23 Giacomo Borghi , Hyesung Im , Lorenzo Pareschi

When training Convolutional Neural Networks (CNNs) there is a large emphasis on creating efficient optimization algorithms and highly accurate networks. The state-of-the-art method of optimizing the networks is done by using gradient…

Neural and Evolutionary Computing · Computer Science 2023-01-24 Manuel Bradicic , Michal Sitarz , Felix Sylvest Olesen

Stochastic Gradient Descent (SGD) has proven to be remarkably effective in optimizing deep neural networks that employ ever-larger numbers of parameters. Yet, improving the efficiency of large-scale optimization remains a vital and highly…

Machine Learning · Computer Science 2020-11-11 Frithjof Gressmann , Zach Eaton-Rosen , Carlo Luschi

We introduce a novel method for non-convex optimization, called Swarm-based Simulated Annealing (SSA), which is at the interface between the swarm-based gradient-descent (SBGD) [J. Lu et. al., ArXiv:2211.17157; E.Tadmor and A. Zenginoglu,…

Optimization and Control · Mathematics 2024-09-04 Zhiyan Ding , Martin Guerra , Qin Li , Eitan Tadmor

Hyperparameter tuning is a critical yet computationally expensive step in training neural networks, particularly when the search space is high dimensional and nonconvex. Metaheuristic optimization algorithms are often used for this purpose…

Neural and Evolutionary Computing · Computer Science 2026-01-22 Amaras Nazarians , Sachin Kumar

In this paper we enhance Generalized Self-Adapting Particle Swarm Optimization algorithm (GAPSO), initially introduced at the Parallel Problem Solving from Nature 2018 conference, and to investigate its properties. The research on GAPSO is…

Neural and Evolutionary Computing · Computer Science 2020-03-02 Michał Okulewicz , Mateusz Zaborski , Jacek Mańdziuk

The field of optimization has the goal to find an optimal solution to a target function, i.e. to minimize (or maximize) the target function. When trying to find such a global minimum, one often encounters local minima due to unfavorable…

Optimization and Control · Mathematics 2024-04-02 Janina Tikko

We consider global non-convex optimisation problems under uncertainty. In this setting, it is not possible to implement a desired solution exactly. Instead, any other solution within some distance to the intended solution may be…

Optimization and Control · Mathematics 2020-03-24 Martin Hughes , Marc Goerigk , Trivikram Dokka

We propose a new stochastic optimization framework for empirical risk minimization problems such as those that arise in machine learning. The traditional approaches, such as (mini-batch) stochastic gradient descent (SGD), utilize an…

Machine Learning · Statistics 2020-02-04 Kenji Kawaguchi , Haihao Lu

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

Stochastic gradient descent (SGD) is perhaps the most prevalent optimization method in modern machine learning. Contrary to the empirical practice of sampling from the datasets without replacement and with (possible) reshuffling at each…

Optimization and Control · Mathematics 2024-02-08 Xufeng Cai , Cheuk Yin Lin , Jelena Diakonikolas
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