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We propose a neural network model with transient chaos, or a transiently chaotic neural network (TCNN) as an approximation method for combinatorial optimization problem, by introducing transiently chaotic dynamics into neural networks.…

chao-dyn · 物理学 2008-02-03 Luonan Chen , Kazuyuki Aihara

Extreme events gain the attention of researchers due to their utmost importance in various contexts ranging from finance to climatology. This brings such recurrent events to the limelight of attention in interdisciplinary research. A…

数据分析、统计与概率 · 物理学 2022-05-18 Sayantan Nag Chowdhury , Arnob Ray , Syamal K. Dana , Dibakar Ghosh

Control Barrier Functions (CBF) are widely used to enforce the safety-critical constraints on nonlinear systems. Recently, these functions are being incorporated into a path planning framework to design safety-critical path planners.…

机器人学 · 计算机科学 2021-10-25 Aniketh Manjunath , Quan Nguyen

In this work, we investigate the application of Machine Learning techniques to sport climbing. Expanding upon previous projects, we develop a visualization tool for move sequence evaluation on a given boulder. Then, we look into move…

机器学习 · 计算机科学 2025-03-04 Thomas Rimbot , Martin Jaggi , Luis Barba

Scrambling is a diagnostic of quantum chaos in strongly coupled systems, and plays a central role in the holographic description of black hole dynamics. We study scrambling in high-temperature holographic CFTs, with an emphasis on…

高能物理 - 理论 · 物理学 2025-11-06 Juan Hernandez , Andrew Rolph

This paper presents a new chaotic system having four attractors, including two fixed point attractors and two symmetrical chaotic strange attractors. Dynamical properties of the system, viz. sensitive dependence on initial conditions,…

机器人学 · 计算机科学 2021-02-17 Christian Nwachioma , J. Humberto Pérez-Cruz

This paper presents a novel approach to sustain transient chaos in the Lorenz system through the estimation of safety functions using a transformer-based model. Unlike classical methods that rely on iterative computations, the proposed…

混沌动力学 · 物理学 2025-04-01 David Valle , Rubén Capeans , Alexandre Wagemakers , Miguel A. F. Sanjuán

Traffic prediction in data-scarce, cross-city settings is challenging due to complex nonlinear dynamics and domain shifts. Existing methods often fail to capture traffic's inherent chaotic nature for effective few-shot learning. We propose…

人工智能 · 计算机科学 2026-02-06 Abdul Joseph Fofanah , Lian Wen , David Chen , Alpha Alimamy Kamara , Zhongyi Zhang

With the constant increase of the number of autonomous vehicles and connected objects, tools to understand and reproduce their mobility models are required. We focus on chaotic dynamics and review their applications in the design of…

多智能体系统 · 计算机科学 2023-03-30 Martin Rosalie , Serge Chaumette

Forecasting the behavior of high-dimensional dynamical systems using machine learning requires efficient methods to learn the underlying physical model. We demonstrate spatiotemporal chaos prediction using a machine learning architecture…

机器学习 · 计算机科学 2022-09-27 Wendson A. S. Barbosa , Daniel J. Gauthier

Several methods for generating random Steiner triple systems (STSs) have been proposed in the literature, such as Stinson's hill-climbing algorithm and Cameron's algorithm, but these are not yet completely understood. Those algorithms, as…

组合数学 · 数学 2023-05-09 Daniel Heinlein , Patric R. J. Östergård

For a company looking to provide delightful user experiences, it is of paramount importance to take care of any customer issues. This paper proposes COTA, a system to improve speed and reliability of customer support for end users through…

机器学习 · 计算机科学 2018-07-05 Piero Molino , Huaixiu Zheng , Yi-Chia Wang

Rockfalls are a hazard for the safety of infrastructure as well as people. Identifying loose rocks by inspection of slopes adjacent to roadways and other infrastructure and removing them in advance can be an effective way to prevent…

机器学习 · 计算机科学 2021-10-12 Roya Nasimi , Fernando Moreu , John Stormont

Classifying the difficulties of climbing routes and generating new routes are both challenging. Existing machine learning models not only fail to accurately predict a problem's difficulty, but they are also unable to generate reasonable…

机器学习 · 计算机科学 2021-02-04 Yi-Shiou Duh , Ray Chang

This work proposes an innovative approach using machine learning to predict extreme events in time series of chaotic dynamical systems. The research focuses on the time series of the H\'enon map, a two-dimensional model known for its…

混沌动力学 · 物理学 2025-07-11 Alexandre C. Andreani , Bruno R. R. Boaretto , Elbert E. N. Macau

Dynamic and non-linear systems are emerging as potential candidates for random bit generation. In this context, chaotic systems, which are both dynamic and stochastic, are particularly suitable. This paper introduces a new continuous…

系统与控制 · 电气工程与系统科学 2023-01-09 Ngoc T. Nguyen , Toan Q. Bui , Ghyslain Gagnon , Pascal Giard , Georges Kaddoum

In this paper, we introduce a novel discrete chaotic map named zigzag map that demonstrates excellent chaotic behaviors and can be utilized in Truly Random Number Generators (TRNGs). We comprehensively investigate the map and explore its…

动力系统 · 数学 2012-06-06 Hamid Nejati , Ahmad Beirami , Warsame H. Ali

Stochastic computing has a long history as an alternative method of performing arithmetic on a computer. While it can be considered an unbiased estimator of real numbers, it has a variance and MSE on the order of $\Omega(\frac{1}{N})$. On…

硬件体系结构 · 计算机科学 2021-11-30 Chai Wah Wu

Curiosity is a general method for augmenting an environment reward with an intrinsic reward, which encourages exploration and is especially useful in sparse reward settings. As curiosity is calculated using next state prediction error, the…

机器学习 · 计算机科学 2021-05-19 Auguste Lehuger , Matthew Crosby

We propose a randomized first order optimization method--SEGA (SkEtched GrAdient method)-- which progressively throughout its iterations builds a variance-reduced estimate of the gradient from random linear measurements (sketches) of the…

最优化与控制 · 数学 2018-10-19 Filip Hanzely , Konstantin Mishchenko , Peter Richtarik