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The development of a reliable and robust surrogate model is often constrained by the dimensionality of the problem. For a system with high-dimensional inputs/outputs (I/O), conventional approaches usually use a low-dimensional manifold to…

Image and Video Processing · Electrical Eng. & Systems 2020-10-01 Xihaier Luo , Ahsan Kareem

Solving time-dependent Partial Differential Equations (PDEs) using a densely discretized spatial domain is a fundamental problem in various scientific and engineering disciplines, including modeling climate phenomena and fluid dynamics.…

Machine Learning · Computer Science 2025-10-24 Jan Hagnberger , Daniel Musekamp , Mathias Niepert

We investigate the use of reduced-order modelling to run discrete element simulations at higher speeds. Taking a data-driven approach, we run many offline simulations in advance and train a model to predict the velocity field from the mass…

Computational Physics · Physics 2021-03-02 Erik Wallin , Martin Servin

Graph-based spatio-temporal neural networks are effective to model the spatial dependency among discrete points sampled irregularly from unstructured grids, thanks to the great expressiveness of graph neural networks. However, these models…

Machine Learning · Computer Science 2022-04-22 Haitao Lin , Guojiang Zhao , Lirong Wu , Stan Z. Li

The integration of Deep Learning (DL) in System Dynamics (SD) modeling for transportation logistics offers significant advantages in scalability and predictive accuracy. However, these gains are often offset by the loss of explainability…

Artificial Intelligence · Computer Science 2025-09-11 Riccardo D'Elia , Alberto Termine , Francesco Flammini

In this paper, we investigate neural networks applied to multiscale simulations and discuss a design of a novel deep neural network model reduction approach for multiscale problems. Due to the multiscale nature of the medium, the fine-grid…

Numerical Analysis · Mathematics 2024-12-20 Min Wang , Siu Wun Cheung , Wing Tat Leung , Eric T. Chung , Yalchin Efendiev , Mary Wheeler

We propose a new method for spatio-temporal forecasting on arbitrarily distributed points. Assuming that the observed system follows an unknown partial differential equation, we derive a continuous-time model for the dynamics of the data…

Machine Learning · Computer Science 2022-03-18 Marten Lienen , Stephan Günnemann

Traffic prediction is a critical component of intelligent transportation systems, enabling applications such as congestion mitigation and accident risk prediction. While recent research has explored both graph-based and grid-based…

Computer Vision and Pattern Recognition · Computer Science 2025-09-22 Hyeonseok Jin , Geonmin Kim , Kyungbaek Kim

Existing deep multi-object tracking (MOT) approaches first learn a deep representation to describe target objects and then associate detection results by optimizing a linear assignment problem. Despite demonstrated successes, it is…

Computer Vision and Pattern Recognition · Computer Science 2019-07-30 Jun Xiang , Ma Chao , Guohan Xu , Jianhua Hou

There is a critical need for efficient and reliable active flow control strategies to reduce drag and noise in aerospace and marine engineering applications. While traditional full-order models based on the Navier-Stokes equations are not…

Fluid Dynamics · Physics 2022-11-02 Indu Kant Deo , Rui Gao , Rajeev Jaiman

Microstructure evolution, which plays a critical role in determining materials properties, is commonly simulated by the high-fidelity but computationally expensive phase-field method. To address this, we approximate microstructure evolution…

Materials Science · Physics 2024-11-22 Saurabh Tiwari , Prathamesh Satpute , Supriyo Ghosh

In this paper, we address the problem of predicting complex, nonlinear spatiotemporal dynamics when available data is recorded at irregularly-spaced sparse spatial locations. Most of the existing deep learning models for modeling…

Machine Learning · Computer Science 2022-07-13 Priyabrata Saha , Saibal Mukhopadhyay

In this work we introduce a time- and memory-efficient method for structured prediction that couples neuron decisions across both space at time. We show that we are able to perform exact and efficient inference on a densely connected…

Computer Vision and Pattern Recognition · Computer Science 2018-07-10 Siddhartha Chandra , Camille Couprie , Iasonas Kokkinos

The scientific computation methods development in conjunction with artificial intelligence technologies remains a hot research topic. Finding a balance between lightweight and accurate computations is a solid foundation for this direction.…

Machine Learning · Computer Science 2025-07-03 Nikita Sakovich , Dmitry Aksenov , Ekaterina Pleshakova , Sergey Gataullin

Achieving reliable multidimensional Vehicle-to-Vehicle (V2V) channel state information (CSI) prediction is both challenging and crucial for optimizing downstream tasks that depend on instantaneous CSI. This work extends traditional…

Systems and Control · Electrical Eng. & Systems 2024-09-24 Lei Chu , Daoud Burghal , Rui Wang , Michael Neuman , Andreas F. Molisch

Discrete-time fractional-order dynamical systems (DT-FODS) have found innumerable applications in the context of modeling spatiotemporal behaviors associated with long-term memory. Applications include neurophysiological signals such as…

Optimization and Control · Mathematics 2021-10-05 Sarthak Chatterjee , Sérgio Pequito

Short-term passenger demand forecasting is of great importance to the on-demand ride service platform, which can incentivize vacant cars moving from over-supply regions to over-demand regions. The spatial dependences, temporal dependences,…

Machine Learning · Computer Science 2018-02-13 Jintao Ke , Hongyu Zheng , Hai Yang , Xiqun , Chen

In this research paper, we study the capability of artificial neural network models to emulate storm surge based on the storm track/size/intensity history, leveraging a database of synthetic storm simulations. Traditionally, Computational…

Machine Learning · Computer Science 2022-04-21 Ehsan Adeli , Luning Sun , Jianxun Wang , Alexandros A. Taflanidis

Efficient downscaling of large ensembles of coarse-scale information is crucial in several applications, such as oceanic and atmospheric modeling. The determining form map is a theoretical lifting function from the low-resolution solution…

Dynamical Systems · Mathematics 2023-10-19 Mohamad Abed El Rahman Hammoud , Edriss S. Titi , Ibrahim Hoteit , Omar Knio

Natural spatiotemporal processes can be highly non-stationary in many ways, e.g. the low-level non-stationarity such as spatial correlations or temporal dependencies of local pixel values; and the high-level variations such as the…

Machine Learning · Computer Science 2019-04-23 Yunbo Wang , Jianjin Zhang , Hongyu Zhu , Mingsheng Long , Jianmin Wang , Philip S Yu