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We describe a framework that can integrate prior physical information, e.g., the presence of kinematic constraints, to support data-driven simulation in multi-body dynamics. Unlike other approaches, e.g., Fully-connected Neural Network…

Computational Engineering, Finance, and Science · Computer Science 2024-07-12 Jingquan Wang , Shu Wang , Huzaifa Mustafa Unjhawala , Jinlong Wu , Dan Negrut

We present a data-driven modeling strategy to overcome improperly modeled dynamics for systems exhibiting complex spatio-temporal behaviors. We propose a Deep Learning framework to resolve the differences between the true dynamics of the…

Machine Learning · Computer Science 2020-10-28 Maan Qraitem , Dhanushka Kularatne , Eric Forgoston , M. Ani Hsieh

Data-driven methods have become increasingly more prominent for musculoskeletal modelling due to their conceptually intuitive simple and fast implementation. However, the performance of a pre-trained data-driven model using the data from…

Signal Processing · Electrical Eng. & Systems 2022-11-23 Jie Zhang , Yihui Zhao , Tianzhe Bao , Zhenhong Li , Kun Qian , Alejandro F. Frangi , Sheng Quan Xie , Zhi-Qiang Zhang

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

Musculoskeletal models have been widely used for detailed biomechanical analysis to characterise various functional impairments given their ability to estimate movement variables (i.e., muscle forces and joint moment) which cannot be…

Signal Processing · Electrical Eng. & Systems 2022-07-05 Jie Zhang , Yihui Zhao , Fergus Shone , Zhenhong Li , Alejandro F. Frangi , Shengquan Xie , Zhiqiang Zhang

Modeling the structure and events of the physical world constitutes a fundamental objective of neural networks. Among the diverse approaches, Graph Network Simulators (GNS) have emerged as the leading method for modeling physical phenomena,…

Computer Vision and Pattern Recognition · Computer Science 2024-10-07 Sheng Yang , Fengge Wu , Junsuo Zhao

Neural networks have emerged as a powerful way to approach many practical problems in quantum physics. In this work, we illustrate the power of deep learning to predict the dynamics of a quantum many-body system, where the training is…

This paper presents a deep learning-based framework for predicting the dynamic performance of suspension systems in multi-axle vehicles, emphasizing the integration of machine learning with traditional vehicle dynamics modeling. A…

Machine Learning · Computer Science 2024-10-04 Kai Chun Lin , Bo-Yi Lin

Data-driven modeling of human motions is ubiquitous in computer graphics and computer vision applications, such as synthesizing realistic motions or recognizing actions. Recent research has shown that such problems can be approached by…

Graphics · Computer Science 2019-08-21 He Wang , Edmond S. L. Ho , Hubert P. H. Shum , Zhanxing Zhu

Dynamical systems see widespread use in natural sciences like physics, biology, chemistry, as well as engineering disciplines such as circuit analysis, computational fluid dynamics, and control. For simple systems, the differential…

Recent advances in deep learning for physics have focused on discovering shared representations of target systems by incorporating physics priors or inductive biases into neural networks. While effective, these methods are limited to the…

Machine Learning · Computer Science 2024-06-04 Yeongwoo Song , Hawoong Jeong

We present a data-driven numerical approach for modeling unknown dynamical systems with missing/hidden parameters. The method is based on training a deep neural network (DNN) model for the unknown system using its trajectory data. A key…

Machine Learning · Statistics 2022-02-07 Xiaohan Fu , Weize Mao , Lo-Bin Chang , Dongbin Xiu

Data-driven simulation of pedestrian dynamics is an incipient and promising approach for building reliable microscopic pedestrian models. We propose a methodology based on generalized regression neural networks, which does not have to deal…

Physics and Society · Physics 2019-07-19 Rafael F. Martin , Daniel R. Parisi

To fully understand, analyze, and determine the behavior of dynamical systems, it is crucial to identify their intrinsic modal coordinates. In nonlinear dynamical systems, this task is challenging as the modal transformation based on the…

Machine Learning · Computer Science 2025-03-13 Abdolvahhab Rostamijavanani , Shanwu Li , Yongchao Yang

Learning models for dynamical systems in continuous time is significant for understanding complex phenomena and making accurate predictions. This study presents a novel approach utilizing differential neural networks (DNNs) to model…

Machine Learning · Computer Science 2024-12-13 Wenjie Mei , Xiaorui Wang , Yanrong Lu , Ke Yu , Shihua Li

Signal processing, communications, and control have traditionally relied on classical statistical modeling techniques. Such model-based methods utilize mathematical formulations that represent the underlying physics, prior information and…

Signal Processing · Electrical Eng. & Systems 2022-09-13 Nir Shlezinger , Jay Whang , Yonina C. Eldar , Alexandros G. Dimakis

In this paper, we propose the Deep Structured self-Driving Network (DSDNet), which performs object detection, motion prediction, and motion planning with a single neural network. Towards this goal, we develop a deep structured energy based…

Computer Vision and Pattern Recognition · Computer Science 2020-08-14 Wenyuan Zeng , Shenlong Wang , Renjie Liao , Yun Chen , Bin Yang , Raquel Urtasun

Many, if not most, systems of interest in science are naturally described as nonlinear dynamical systems. Empirically, we commonly access these systems through time series measurements. Often such time series may consist of discrete random…

Machine Learning · Computer Science 2024-06-10 Manuel Brenner , Florian Hess , Georgia Koppe , Daniel Durstewitz

The Deep Material Network (DMN) has emerged as a powerful framework for multiscale materials modeling, enabling efficient and accurate prediction of material behavior across different length scales. Unlike conventional data-driven…

Computational Engineering, Finance, and Science · Computer Science 2026-03-23 Ting-Ju Wei , Wen-Ning Wan , Chuin-Shan Chen

While trade-offs between modeling effort and model accuracy remain a major concern with system identification, resorting to data-driven methods often leads to a complete disregard for physical plausibility. To address this issue, we propose…

Systems and Control · Electrical Eng. & Systems 2022-08-23 Oliver Schön , Ricarda-Samantha Götte , Julia Timmermann
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