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Predicting the dynamics of chaotic systems is one of the most challenging tasks for neural networks, and machine learning in general. Here we aim to predict the spatiotemporal chaotic dynamics of a high-dimensional non-linear system. In our…

Machine Learning · Computer Science 2023-09-15 M. Andrecut

In this paper, a robust visual tracking approach via mixed model based convolutional neural networks (SDT) is developed. In order to handle abrupt or fast motion, a prior map is generated to facilitate the localization of region of interest…

Computer Vision and Pattern Recognition · Computer Science 2018-12-20 Fangwen Tu , Shuzhi Sam Ge , Chang Chieh Hang

Pedestrian trajectory prediction is essential for collision avoidance in autonomous driving and robot navigation. However, predicting a pedestrian's trajectory in crowded environments is non-trivial as it is influenced by other pedestrians'…

Computer Vision and Pattern Recognition · Computer Science 2019-02-15 Sirin Haddad , Meiqing Wu , He Wei , Siew Kei Lam

Generating long-term trajectories of dissipative chaotic systems autoregressively is a highly challenging task. The inherent positive Lyapunov exponents amplify prediction errors over time. Many chaotic systems possess a crucial property -…

Chaotic Dynamics · Physics 2025-05-27 Yi He , Yiming Yang , Xiaoyuan Cheng , Hai Wang , Xiao Xue , Boli Chen , Yukun Hu

Forecasting high-dimensional dynamical systems is a fundamental challenge in various fields, such as geosciences and engineering. Neural Ordinary Differential Equations (NODEs), which combine the power of neural networks and numerical…

Machine Learning · Computer Science 2024-10-16 Dibyajyoti Chakraborty , Seung Whan Chung , Troy Arcomano , Romit Maulik

Most state-of-the-art works in trajectory forecasting for automotive target predicting the pose and orientation of the agents in the scene. This represents a particularly useful problem, for instance in autonomous driving, but it does not…

Robotics · Computer Science 2024-10-28 Luca Paparusso , Stefano Melzi , Francesco Braghin

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…

Machine Learning · Computer Science 2023-01-31 William Gilpin

We study computational and statistical aspects of learning Latent Markov Decision Processes (LMDPs). In this model, the learner interacts with an MDP drawn at the beginning of each epoch from an unknown mixture of MDPs. To sidestep known…

Machine Learning · Computer Science 2024-06-13 Fan Chen , Constantinos Daskalakis , Noah Golowich , Alexander Rakhlin

Accurately estimating the phase of oscillatory systems is essential for analyzing cyclic activities such as repetitive gestures in human motion. In this work we introduce a learning-based approach for online phase estimation in…

Systems and Control · Electrical Eng. & Systems 2025-05-06 Antonio Grotta , Francesco De Lellis

This paper presents an approach to improve computational fluid dynamics simulations forecasts of air pollution using deep learning. Our method, which integrates Principal Components Analysis (PCA) and adversarial training, is a way to…

Machine Learning · Computer Science 2021-01-06 César Quilodrán-Casas , Rossella Arcucci , Christopher Pain , Yike Guo

In this paper, we propose a reinforcement learning-based algorithm for trajectory optimization for constrained dynamical systems. This problem is motivated by the fact that for most robotic systems, the dynamics may not always be known.…

Machine Learning · Statistics 2020-03-05 Kei Ota , Devesh K. Jha , Tomoaki Oiki , Mamoru Miura , Takashi Nammoto , Daniel Nikovski , Toshisada Mariyama

Short-term traffic volume prediction is crucial for intelligent transportation system and there are many researches focusing on this field. However, most of these existing researches concentrated on refining model architecture and ignored…

Machine Learning · Computer Science 2024-10-22 Xiannan Huang , Shuhan Qiu , Yan Cheng , Quan Yuan , Chao Yang

Developing a safe, stable, and efficient obstacle avoidance policy in crowded and narrow scenarios for multiple robots is challenging. Most existing studies either use centralized control or need communication with other robots. In this…

Robotics · Computer Science 2022-09-15 Jiafeng Ma , Guangda chen , Yingfeng Chen , Yujing Hu , Changjie Fan , Jianming Zhang

Predicting flight trajectories is a research area that holds significant merit. In this paper, we propose a data-driven learning framework, that leverages the predictive and feature extraction capabilities of the mixture models and…

Robotics · Computer Science 2024-09-27 Jun Xiang , Jun Chen

A typical trajectory planner of autonomous driving commonly relies on predicting the future behavior of surrounding obstacles. Recently, deep learning technology has been widely adopted to design prediction models due to their impressive…

Artificial Intelligence · Computer Science 2022-07-29 Weitao Zhou , Zhong Cao , Yunkang Xu , Nanshan Deng , Xiaoyu Liu , Kun Jiang , Diange Yang

Chaotic neural networks have received a great deal of attention these last years. In this paper we establish a precise correspondence between the so-called chaotic iterations and a particular class of artificial neural networks: global…

Artificial Intelligence · Computer Science 2015-03-17 Jacques M. Bahi , Christophe Guyeux , Michel Salomon

Predictive maintenance in aerospace heavily relies on accurate estimation of the remaining useful life of jet engines. In this paper, we introduce a Hybrid Quantum Recurrent Neural Network framework, combining Quantum Long Short-Term Memory…

Traffic flow prediction, particularly in areas that experience highly dynamic flows such as motorways, is a major issue faced in traffic management. Due to increasingly large volumes of data sets being generated every minute, deep learning…

Signal Processing · Electrical Eng. & Systems 2020-07-07 Adriana-Simona Mihaita , Zac Papachatgis , Marian-Andrei Rizoiu

In this paper, we conduct a systematic large-scale analysis of order book-driven predictability in high-frequency returns by leveraging deep learning techniques. First, we introduce a new and robust representation of the order book, the…

Computational Finance · Quantitative Finance 2023-10-10 Lorenzo Lucchese , Mikko Pakkanen , Almut Veraart

Flood prediction is a critical challenge in the context of climate change, with significant implications for ecosystem preservation, human safety, and infrastructure protection. In this study, we tackle this problem by applying the…

Quantum Physics · Physics 2024-07-12 Chu-Hsuan Abraham Lin , Chen-Yu Liu , Kuan-Cheng Chen