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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…

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…

计算物理 · 物理学 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…

机器学习 · 计算机科学 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…

机器学习 · 统计学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

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,…

计算机视觉与模式识别 · 计算机科学 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…

机器人学 · 计算机科学 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…

人工智能 · 计算机科学 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…

量子物理 · 物理学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

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…

机器学习 · 计算机科学 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.…

混沌动力学 · 物理学 2025-08-07 Michele Baia , Tommaso Matteuzzi , Franco Bagnoli
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