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We introduce a data-driven forecasting method for high-dimensional chaotic systems using long short-term memory (LSTM) recurrent neural networks. The proposed LSTM neural networks perform inference of high-dimensional dynamical systems in…

Computational Physics · Physics 2019-09-20 Pantelis R. Vlachas , Wonmin Byeon , Zhong Y. Wan , Themistoklis P. Sapsis , Petros Koumoutsakos

This work presents a hybrid modeling approach to data-driven learning and representation of unknown physical processes and closure parameterizations. These hybrid models are suitable for situations where the mechanistic description of…

Computational Physics · Physics 2021-08-17 Suraj Pawar , Omer San , Adil Rasheed , Ionel M. Navon

This paper addresses the challenges of mining latent patterns and modeling contextual dependencies in complex sequence data. A sequence pattern mining algorithm is proposed by integrating Bidirectional Long Short-Term Memory (BiLSTM) with a…

Machine Learning · Computer Science 2025-04-22 Tao Yang , Yu Cheng , Yaokun Ren , Yujia Lou , Minggu Wei , Honghui Xin

Recurrent neural networks like long short-term memory (LSTM) are important architectures for sequential prediction tasks. LSTMs (and RNNs in general) model sequences along the forward time direction. Bidirectional LSTMs (Bi-LSTMs) on the…

Machine Learning · Statistics 2017-11-16 Samira Shabanian , Devansh Arpit , Adam Trischler , Yoshua Bengio

We propose a hybrid meta-learning framework for forecasting and anomaly detection in nonlinear dynamical systems characterized by nonstationary and stochastic behavior. The approach integrates a physics-inspired simulator that captures…

Machine Learning · Computer Science 2025-06-18 Abdullah Burkan Bereketoglu

Accurate financial volatility forecasting is crucial but challenged by the non-linear, highly correlated nature of market data. Recently, quantum computing has emerged as a promising paradigm for solving complex high-dimensional sampling…

Machine Learning · Computer Science 2026-05-07 Yixiong Chen

This study proposes a deep learning model based on the combination of convolutional neural network (CNN) and bidirectional long short-term memory network (BiLSTM) for discriminant analysis of financial systemic risk. The model first uses…

Machine Learning · Computer Science 2025-02-12 Yu Cheng , Zhen Xu , Yuan Chen , Yuhan Wang , Zhenghao Lin , Jinsong Liu

Short-term traffic forecasting based on deep learning methods, especially long short-term memory (LSTM) neural networks, has received much attention in recent years. However, the potential of deep learning methods in traffic forecasting has…

Machine Learning · Computer Science 2019-11-26 Zhiyong Cui , Ruimin Ke , Ziyuan Pu , Yinhai Wang

Long-term traffic prediction has always been a challenging task due to its dynamic temporal dependencies and complex spatial dependencies. In this paper, we propose a model that combines hybrid Transformer and spatio-temporal…

Machine Learning · Computer Science 2024-01-31 Wang Zhu , Doudou Zhang , Baichao Long , Jianli Xiao

The Extended Long Short-Term Memory (xLSTM) network has demonstrated strong capability in modeling complex long-term dependencies in time series data. Despite its success, the deterministic architecture of xLSTM limits its representational…

Machine Learning · Computer Science 2026-01-23 Zihao Wang , Yunjie Li , Lingmin Zan , Zheng Gong , Mengtao Zhu

Accurately predicting the behavior of complex dynamical systems, characterized by high-dimensional multivariate time series(MTS) in interconnected sensor networks, is crucial for informed decision-making in various applications to minimize…

Machine Learning · Computer Science 2024-08-23 Sagar Srinivas Sakhinana , Krishna Sai Sudhir Aripirala , Shivam Gupta , Venkataramana Runkana

Predicting future states of dynamic agents is a fundamental task in autonomous driving. An expressive representation for this purpose is Occupancy Flow Fields, which provide a scalable and unified format for modeling motion, spatial extent,…

Computer Vision and Pattern Recognition · Computer Science 2025-06-09 Peter Lengyel

Accurate vehicle trajectory prediction is crucial for ensuring safe and efficient autonomous driving. This work explores the integration of Transformer based model with Long Short-Term Memory (LSTM) based technique to enhance spatial and…

Robotics · Computer Science 2024-12-19 Chandra Raskoti , Weizi Li

The robotic systems continuously interact with complex dynamical systems in the physical world. Reliable predictions of spatiotemporal evolution of these dynamical systems, with limited knowledge of system dynamics, are crucial for…

Artificial Intelligence · Computer Science 2019-01-08 Yun Long , Xueyuan She , Saibal Mukhopadhyay

Accurate classification of multipartite entanglement in high-dimensional quantum systems is crucial for advancing quantum communication and information processing. However, conventional methods are resource-intensive, and even many…

Quantum Physics · Physics 2026-02-02 Qian Sun , Yuedong Sun , Yu Hu , Yihan Ma , Runqi Han , Nan Jiang

Traffic prediction is necessary not only for management departments to dispatch vehicles but also for drivers to avoid congested roads. Many traffic forecasting methods based on deep learning have been proposed in recent years, and their…

Machine Learning · Computer Science 2020-05-12 Jichen Wang , Weiguo Zhu , Yongqi Sun , Chunzi Tian

Accurate time series prediction is challenging due to the inherent nonlinearity and sensitivity to initial conditions. We propose a novel approach that enhances neural network predictions through differential learning, which involves…

Machine Learning · Computer Science 2025-03-11 Akash Yadav , Eulalia Nualart

A model-based approach to forecasting chaotic dynamical systems utilizes knowledge of the physical processes governing the dynamics to build an approximate mathematical model of the system. In contrast, machine learning techniques have…

Machine Learning · Computer Science 2018-05-09 Jaideep Pathak , Alexander Wikner , Rebeckah Fussell , Sarthak Chandra , Brian Hunt , Michelle Girvan , Edward Ott

We present the Physics-Informed Long Short-Term Memory (PI-LSTM) network to reconstruct and predict the evolution of unmeasured variables in a chaotic system. The training is constrained by a regularization term, which penalizes solutions…

Machine Learning · Computer Science 2024-01-02 Elise Özalp , Georgios Margazoglou , Luca Magri

The literature is rich with studies, analyses, and examples on parameter estimation for describing the evolution of chaotic dynamical systems based on measurements, even when only partial information is available through observations.…

Chaotic Dynamics · Physics 2025-08-07 Michele Baia , Tommaso Matteuzzi , Franco Bagnoli
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