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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

Algorithmic stability is a central concept in statistics and learning theory that measures how sensitive an algorithm's output is to small changes in the training data. Stability plays a crucial role in understanding generalization,…

Statistics Theory · Mathematics 2026-01-21 Abhinav Chakraborty , Yuetian Luo , Rina Foygel Barber

We study p-adic counterparts of stable distributions, that is limit distributions for sequences of normalized sums of independent identically distributed p-adic-valued random variables. In contrast to the classical case, non-degenerate…

Probability · Mathematics 2007-05-23 Anatoly N. Kochubei

With the increasing rate of power consumption, many new distribution systems need to be constructed to accommodate connecting the new consumers to the power grid. On the other hand, the increasing penetration of renewable distributed…

Computational Engineering, Finance, and Science · Computer Science 2017-03-22 Ahvand Jalali , S K. Mohammadi , H. Sangrody , A. Rahim-Zadegan

Stable matching theory is the foundation of centralized clearinghouses worldwide, from school choice programs to medical residency allocations. However, incorporating complex distributional goals-such as multi-dimensional diversity quotas…

Computer Science and Game Theory · Computer Science 2026-05-01 Gergely Csáji , Zhaohong Sun

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

Natural systems often exhibit chaotic behavior in their space-time evolution. Systems transiting between chaos and order manifest a potential to compute, as shown with cellular automata and artificial neural networks. We demonstrate that…

Computational Physics · Physics 2025-04-04 Tomáš Vantuch , Ivan Zelinka , Andrew Adamatzky , Norbert Marwan

We study a distributed framework for stochastic optimization which is inspired by models of collective motion found in nature (e.g., swarming) with mild communication requirements. Specifically, we analyze a scheme in which each one of $N >…

Optimization and Control · Mathematics 2018-08-08 Shi Pu , Alfredo Garcia

Consider a swarm of particles controlled by global inputs. This paper presents algorithms for shaping such swarms in 2D using boundary walls. The range of configurations created by conforming a swarm to a boundary wall is limited. We…

Robotics · Computer Science 2016-09-08 Shiva Shahrokhi , Arun Mahadev , Aaron T. Becker

Trust Region Policy Optimization (TRPO) and Proximal Policy Optimization (PPO) are among the most successful policy gradient approaches in deep reinforcement learning (RL). While these methods achieve state-of-the-art performance across a…

Machine Learning · Computer Science 2020-06-22 Ahmed Touati , Amy Zhang , Joelle Pineau , Pascal Vincent

We consider the problem of finding optimal piecewise constant approximations of one-dimensional signals. These approximations should consist of a specified number of segments (samples) and minimise the mean squared error to the original…

Signal Processing · Electrical Eng. & Systems 2019-06-12 Leif Bergerhoff , Joachim Weickert , Yehuda Dar

Compared to other techniques, particle swarm optimization is more frequently utilized because of its ease of use and low variability. However, it is complicated to find the best possible solution in the search space in large-scale…

Neural and Evolutionary Computing · Computer Science 2024-03-19 Hamed Zibaei , Mohammad Saadi Mesgari

The primary user emulation attack (PUEA) is one of the common threats in cognitive radio networks (CRNs), in this problem, an attacker mimics the Primary User (PU) signal to deceive other secondary users (SUs) to make them leave the white…

Networking and Internet Architecture · Computer Science 2019-02-07 Walid R. Ghanem , Reem E. Mohamed , Mona Shokair , Moawad I. Dessouky

This paper introduces the {\it particle swarm filter} (not to be confused with particle swarm optimization): a recursive and embarrassingly parallel algorithm that targets an approximation to the sequence of posterior predictive…

Methodology · Statistics 2021-02-16 Taylor R. Brown

This paper presents a method for choosing a Particle Swarm Optimization based optimizer for the Dynamic Vehicle Routing Problem on the basis of the initially available data of a given problem instance. The optimization algorithm is chosen…

Neural and Evolutionary Computing · Computer Science 2020-06-17 Michał Okulewicz , Jacek Mańdziuk

Stochastic gradient descent (SGD) algorithm is an effective learning strategy to build a latent factor analysis (LFA) model on a high-dimensional and incomplete (HDI) matrix. A particle swarm optimization (PSO) algorithm is commonly adopted…

Neural and Evolutionary Computing · Computer Science 2022-08-05 Jiufang Chen , Ye Yuan

This article presents Underdamped Particle Swarm Optimization (UEPS), a novel metaheuristic inspired by both the Particle Swarm Optimization (PSO) algorithm and the dynamic behavior of an underdamped system. The underdamped motion acts as…

Neural and Evolutionary Computing · Computer Science 2025-03-17 Matías Ezequiel Hernández Rodríguez

Order statistics theory is applied in this paper to probabilistic robust control theory to compute the minimum sample size needed to come up with a reliable estimate of an uncertain quantity under continuity assumption of the related…

Optimization and Control · Mathematics 2008-05-13 Xinjia Chen , Kemin Zhou

This paper proposes the use of particle swarm optimization method (PSO) for finite element (FE) model updating. The PSO method is compared to the existing methods that use simulated annealing (SA) or genetic algorithms (GA) for FE model for…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Tshilidzi Marwala

This article introduces a robust hybrid method for solving supervised learning tasks, which uses the Echo State Network (ESN) model and the Particle Swarm Optimization (PSO) algorithm. An ESN is a Recurrent Neural Network with the…

Neural and Evolutionary Computing · Computer Science 2015-01-05 Sebastián Basterrech , Enrique Alba , Václav Snášel