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Accurate and efficient surrogate models for aerodynamic surface pressure fields are essential for accelerating aircraft design and analysis, yet deterministic regressors trained with pointwise losses often smooth sharp nonlinear features.…

Fluid Dynamics · Physics 2026-04-14 Víctor Francés-Belda , Carlos Sanmiguel Vila , Rodrigo Castellanos

We tackle the long-term prediction of scene evolution in a complex downtown scenario for automated driving based on Lidar grid fusion and recurrent neural networks (RNNs). A bird's eye view of the scene, including occupancy and velocity, is…

Computer Vision and Pattern Recognition · Computer Science 2019-06-10 Marcel Schreiber , Stefan Hoermann , Klaus Dietmayer

Computational fluid dynamics (CFD) provides high-fidelity simulations of fluid flows but remains computationally expensive for many-query applications. In recent years deep learning (DL) has been used to construct data-driven fluid-dynamic…

Machine Learning · Computer Science 2026-04-13 David Ramos , Lucas Lacasa , Fermín Gutiérrez , Eusebio Valero , Gonzalo Rubio

Stochastic reduced-order models are widely used to represent the effective dynamics of complex systems, but estimating their drift and diffusion coefficients from data remains challenging. Standard approaches often rely on short-time…

Machine Learning · Statistics 2026-04-28 Ludovico T. Giorgini

Efficiently predicting the flowfield and load in aerodynamic shape optimisation remains a highly challenging and relevant task. Deep learning methods have been of particular interest for such problems, due to their success for solving…

Fluid Dynamics · Physics 2021-06-16 Li-Wei Chen , Berkay Alp Cakal , Xiangyu Hu , Nils Thuerey

Merchant shipping is responsible for more than 90% of the global trade and has a significant environmental impact, accounting for over 2% of global greenhouse gas emissions. Therefore, fuel-saving measures are becoming increasingly…

Fluid Dynamics · Physics 2025-05-12 Malte Loft , Henning Schwarz , Thomas Rung

We show how to learn discrete field theories from observational data of fields on a space-time lattice. For this, we train a neural network model of a discrete Lagrangian density such that the discrete Euler--Lagrange equations are…

Numerical Analysis · Mathematics 2024-01-10 Christian Offen , Sina Ober-Blöbaum

Spatio-temporal forecasting is challenging attributing to the high nonlinearity in temporal dynamics as well as complex location-characterized patterns in spatial domains, especially in fields like weather forecasting. Graph convolutions…

Machine Learning · Computer Science 2021-12-14 Haitao Lin , Zhangyang Gao , Yongjie Xu , Lirong Wu , Ling Li , Stan. Z. Li

The demand for fast and accurate structural analysis is becoming increasingly more prevalent with the advance of generative design and topology optimization technologies. As one step toward accelerating structural analysis, this work…

Machine Learning · Computer Science 2019-07-02 Zhenguo Nie , Haoliang Jiang , Levent Burak Kara

Accurate aircraft trajectory prediction is critical for air traffic management, airline operations, and environmental assessment. This paper introduces NODE-FDM, a Neural Ordinary Differential Equations-based Flight Dynamics Model trained…

Machine Learning · Computer Science 2025-09-30 Gabriel Jarry , Ramon Dalmau , Xavier Olive , Philippe Very

This paper provides a new avenue for exploiting deep neural networks to improve physics-based simulation. Specifically, we integrate the classic Lagrangian mechanics with a deep autoencoder to accelerate elastic simulation of deformable…

Machine Learning · Computer Science 2021-02-23 Siyuan Shen , Yang Yin , Tianjia Shao , He Wang , Chenfanfu Jiang , Lei Lan , Kun Zhou

Surrogate modeling for complex physical systems typically faces a trade-off between data-fitting accuracy and physical consistency. Physics-consistent approaches typically treat physical laws as soft constraints within the loss function, a…

Machine Learning · Computer Science 2026-01-30 José Afonso , Pedro Viegas , Rodrigo Ventura , Vasco Guerra

Trajectory prediction is of significant importance in computer vision. Accurate pedestrian trajectory prediction benefits autonomous vehicles and robots in planning their motion. Pedestrians' trajectories are greatly influenced by their…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Pengqian Han , Jiamou Liu , Jialing He , Zeyu Zhang , Song Yang , Yanni Tang

Imitation learning enables high-fidelity, vision-based learning of policies within rich, photorealistic environments. However, such techniques often rely on traditional discrete-time neural models and face difficulties in generalizing to…

Machine Learning · Computer Science 2021-08-18 Charles Vorbach , Ramin Hasani , Alexander Amini , Mathias Lechner , Daniela Rus

In recent years, increasingly complex computational models are being built to describe physical systems which has led to increased use of surrogate models to reduce computational cost. In problems related to Structural Health Monitoring…

Machine Learning · Computer Science 2024-07-08 Nicholas E. Silionis , Theodora Liangou , Konstantinos N. Anyfantis

This study presents the conditional neural fields for reduced-order modeling (CNF-ROM) framework to approximate solutions of parametrized partial differential equations (PDEs). The approach combines a parametric neural ODE (PNODE) for…

Numerical Analysis · Mathematics 2024-12-09 Minji Kim , Tianshu Wen , Kookjin Lee , Youngsoo Choi

Numerical solutions of partial differential equations (PDEs) require expensive simulations, limiting their application in design optimization, model-based control, and large-scale inverse problems. Surrogate modeling techniques seek to…

Computational Physics · Physics 2022-05-18 James Duvall , Karthik Duraisamy , Shaowu Pan

We propose a probabilistic framework for developing computational models of biological neural systems. In this framework, physiological recordings are viewed as discrete-time partial observations of an underlying continuous-time stochastic…

Neurons and Cognition · Quantitative Biology 2026-02-10 Ahmed ElGazzar , Marcel van Gerven

We introduce a novel grid-independent model for learning partial differential equations (PDEs) from noisy and partial observations on irregular spatiotemporal grids. We propose a space-time continuous latent neural PDE model with an…

Machine Learning · Computer Science 2023-10-27 Valerii Iakovlev , Markus Heinonen , Harri Lähdesmäki

Self-awareness is the key capability of autonomous systems, e.g., autonomous driving network, which relies on highly efficient time series forecasting algorithm to enable the system to reason about the future state of the environment, as…

Machine Learning · Computer Science 2023-05-18 Minh-Thanh Bui , Duc-Thinh Ngo , Demin Lu , Zonghua Zhang