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Chaotic itinerancy is a frequently observed phenomenon in high-dimensional and nonlinear dynamical systems, and it is characterized by the random transitions among multiple quasi-attractors. Several studies have revealed that chaotic…

机器人学 · 计算机科学 2022-12-06 Katsuma Inoue , Kohei Nakajima , Yasuo Kuniyoshi

The striking fractal geometry of strange attractors underscores the generative nature of chaos: like probability distributions, chaotic systems can be repeatedly measured to produce arbitrarily-detailed information about the underlying…

机器学习 · 计算机科学 2023-01-31 William Gilpin

Chaotic dynamics are ubiquitous in nature and useful in engineering, but their geometric design can be challenging. Here, we propose a method using reservoir computing to generate chaos with a desired shape by providing a periodic orbit as…

神经与进化计算 · 计算机科学 2024-07-16 Tempei Kabayama , Yasuo Kuniyoshi , Kazuyuki Aihara , Kohei Nakajima

Recent increase in popularity of indoor climbing allows possible applications of deep learning algorthms to classify and generate climbing routes. In this work, we employ a variational autoencoder to climbing routes in a standardized…

机器学习 · 计算机科学 2020-09-29 K. H. Lo

Surveillance and exploration of large environments is a tedious task. In spaces with limited environmental cues, random-like search is an effective approach as it allows the robot to perform online coverage of environments using simple…

机器人学 · 计算机科学 2022-11-15 Karan Sridharan , Patrick McNamee , Zahra Nili Ahmadabadi , Jeffrey Hudack

This work addresses the problem of vehicle path planning in the presence of obstacles and uncertainties, which is a fundamental problem in robotics. While many path planning algorithms have been proposed for decades, many of them have dealt…

最优化与控制 · 数学 2018-09-11 Kazuhide Okamoto , Panagiotis Tsiotras

Chaotic systems which are due to nonlinearity have attracted a great concern in the current world and chaotic models. Systems for a wide range of operation conditions have their application in almost all branches of engineering and science.…

物理与社会 · 物理学 2022-09-09 Amin Gasmi

The study of chaos has long relied on computationally intensive methods to quantify unpredictability and design control strategies. Recent advances in machine learning, from convolutional neural networks to transformer architectures,…

混沌动力学 · 物理学 2026-01-30 David Valle , Alexandre Wagemakers , Miguel A. F. Sanjuán

Predicting chaotic dynamical systems is critical in many scientific fields, such as weather forecasting, but challenging due to the characteristic sensitive dependence on initial conditions. Traditional modeling approaches require extensive…

机器学习 · 计算机科学 2025-03-12 Christof Schötz , Alistair White , Maximilian Gelbrecht , Niklas Boers

Deep Neural networks have gained lots of attention in recent years thanks to the breakthroughs obtained in the field of Computer Vision. However, despite their popularity, it has been shown that they provide limited robustness in their…

机器学习 · 计算机科学 2020-08-21 Marco Maggipinto , Matteo Terzi , Gian Antonio Susto

As a phenomenon in dynamical systems allowing autonomous switching between stable behaviors, chaotic itinerancy has gained interest in neurorobotics research. In this study, we draw a connection between this phenomenon and the predictive…

神经与进化计算 · 计算机科学 2021-06-17 Louis Annabi , Alexandre Pitti , Mathias Quoy

We demonstrate the presence of chaos in stochastic simulations that are widely used to study biodiversity in nature. The investigation deals with a set of three distinct species that evolve according to the standard rules of mobility,…

生物物理 · 物理学 2017-03-28 D. Bazeia , M. B. P. N. Pereira , A. V. Brito , B. F. de Oliveira , J. G. G. S. Ramos

Chaotic cryptography describes the use of chaos theory (in particular physical dynamical systems working in chaotic regime as part of communication techniques and computation algorithms) to perform different cryptographic tasks in a…

混沌动力学 · 物理学 2012-03-20 Carmen Pellicer-Lostao , Ricardo Lopez-Ruiz

Human motion prediction is a stochastic process: Given an observed sequence of poses, multiple future motions are plausible. Existing approaches to modeling this stochasticity typically combine a random noise vector with information about…

A key challenge in online learning is that classical algorithms can be slow to adapt to changing environments. Recent studies have proposed "meta" algorithms that convert any online learning algorithm to one that is adaptive to changing…

机器学习 · 统计学 2017-11-08 Kwang-Sung Jun , Francesco Orabona , Stephen Wright , Rebecca Willett

Using the machine learning approach known as reservoir computing, it is possible to train one dynamical system to emulate another. We show that such trained reservoir computers reproduce the properties of the attractor of the chaotic system…

神经与进化计算 · 计算机科学 2018-08-01 Piotr Antonik , Marvyn Gulina , Jaël Pauwels , Serge Massar

This work proposes a new edge about the Chaotic Genetic Algorithm (CGA) and the importance of the entropy in the initial population. Inspired by chaos theory the CGA uses chaotic maps to modify the stochastic parameters of Genetic Algorithm…

神经与进化计算 · 计算机科学 2019-03-13 Guillermo Fuertes , Manuel Vargas , Miguel Alfaro , Rodrigo Soto-Garrido , Jorge Sabattin , Maria Alejandra Peralta

While there have been many publications on potential applications of chaos to fields such as communications, radar, sonar, random signal generation, channel equalization and others, designing continuous chaotic systems is still an unsolved…

信号处理 · 电气工程与系统科学 2022-10-14 Thomas L. Carroll

Chaotic maps are very important for establishing chaos-based image encryption systems. This paper introduces a coupling chaotic system based on a certain unit transform, which can combine any two 1D chaotic maps to generate a new one with…

密码学与安全 · 计算机科学 2019-09-19 Guozhen Hu , Baobin Li

Understanding properties of quantum matter is an outstanding challenge in science. In this paper, we demonstrate how machine-learning methods can be successfully applied for the classification of various regimes in single-particle and…

量子物理 · 物理学 2020-02-12 Y. A. Kharkov , V. E. Sotskov , A. A. Karazeev , E. O. Kiktenko , A. K. Fedorov
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