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A probabilistic machine learning model is introduced to augment the $k-\omega\ SST$ turbulence model in order to improve the modelling of separated flows and the generalisability of learnt corrections. Increasingly, machine learning methods…

Computational Engineering, Finance, and Science · Computer Science 2023-01-24 Joel Ho , Nick Pepper , Tim Dodwell

Recent advances in sensing and imaging technologies have enabled the collection of high-dimensional spatiotemporal data across complex geometric domains. However, effective modeling of such data remains challenging due to irregular spatial…

Machine Learning · Computer Science 2025-10-16 Xizhuo Zhang , Bing Yao

Traffic flow modeling relies heavily on fundamental diagrams. However, deterministic fundamental diagrams, such as single or multi-regime models, cannot capture the uncertainty pattern that underlies traffic flow. To address this…

Applications · Statistics 2024-11-25 Yuan-Zheng Lei , Yaobang Gong , Xianfeng Terry Yang

Gaussian processes (GPs) have gained popularity as flexible machine learning models for regression and function approximation with an in-built method for uncertainty quantification. However, GPs suffer when the amount of training data is…

Machine Learning · Statistics 2025-11-26 Jonas Latz , Aretha L. Teckentrup , Simon Urbainczyk

This article is concerned with learning and stochastic control in physical systems which contain unknown input signals. These unknown signals are modeled as Gaussian processes (GP) with certain parametrized covariance structures. The…

Systems and Control · Computer Science 2018-08-15 Simo Särkkä , Mauricio A. Álvarez , Neil D. Lawrence

Gaussian processes (GPs) defined through intrinsic random fields provide a flexible framework for modeling spatial phenomena, and have been advocated in a variety of applications over the past several decades. Nevertheless, their adoption…

Numerical Analysis · Mathematics 2026-05-19 Christopher Beattie , David Higdon , Leanna House , Colby Stakun-Pickering , Jared Clark

Traffic forecasting is a challenging spatio-temporal modeling task and a critical component of urban transportation management. Current studies mainly focus on deterministic predictions, with limited considerations on the uncertainty and…

Machine Learning · Computer Science 2026-04-20 Weijiang Xiong , Robert Fonod , Nikolas Geroliminis

Autonomous agents must be able to safely interact with other vehicles to integrate into urban environments. The safety of these agents is dependent on their ability to predict collisions with other vehicles' future trajectories for…

Robotics · Computer Science 2020-02-07 Andrew Patterson , Aditya Gahlawat , Naira Hovakimyan

Machine learning (ML) has been increasingly used for topology optimization (TO). However, most existing ML-based approaches focus on simplified benchmark problems due to their high computational cost, spectral bias, and difficulty in…

Machine Learning · Computer Science 2026-02-23 Xiangyu Sun , Shirin Hosseinmardi , Amin Yousefpour , Ramin Bostanabad

The proliferation of capable and efficient machine learning (ML) models marks one of the strongest methodological shifts in signal processing (SP) in its nearly 100-year history. ML models support the development of SP systems that…

Signal Processing · Electrical Eng. & Systems 2026-05-01 Daniel Waxman , Fernando Llorente , Petar M. Djurić

Long-span bridges are subjected to a multitude of dynamic excitations during their lifespan. To account for their effects on the structural system, several load models are used during design to simulate the conditions the structure is…

Machine Learning · Computer Science 2023-08-21 Gledson Rodrigo Tondo , Igor Kavrakov , Guido Morgenthal

Earth observation from satellite sensory data poses challenging problems, where machine learning is currently a key player. In recent years, Gaussian Process (GP) regression has excelled in biophysical parameter estimation tasks from…

In computational physics, machine learning has now emerged as a powerful complementary tool to explore efficiently candidate designs in engineering studies. Outputs in such supervised problems are signals defined on meshes, and a natural…

Machine Learning · Statistics 2025-03-11 Raphaël Carpintero Perez , Sébastien da Veiga , Josselin Garnier , Brian Staber

This paper offers an integrative data-driven physics-inspired approach to model and control traffic congestion in a resilient and efficient manner. While existing physics-based approaches commonly assign density and flow traffic states by…

Systems and Control · Electrical Eng. & Systems 2019-12-03 Hossein Rastgoftar , Ella Atkins

Many robotic tasks, such as human-robot interactions or the handling of fragile objects, require tight control and limitation of appearing forces and moments alongside sensible motion control to achieve safe yet high-performance operation.…

Robotics · Computer Science 2023-03-09 Janine Matschek , Johanna Bethge , Rolf Findeisen

Heterogeneous nature of the vehicular networks, which results from the co-existence of human-driven, semi-automated, and fully autonomous vehicles, is a challenging phenomenon toward the realization of the intelligent transportation systems…

Signal Processing · Electrical Eng. & Systems 2018-07-12 Hossein Nourkhiz Mahjoub , Behrad Toghi , Yaser P. Fallah

Traffic flow modeling is typically performed at one of three different scales (microscopic, mesoscopic, or macroscopic), each with distinct modeling approaches. Recent works that attempt to merge models at different scales have yielded some…

Physics and Society · Physics 2024-03-21 Zhaohui Yang , Kshitij Jerath

This paper proposes the TrafficFlowGAN, a physics-informed flow based generative adversarial network (GAN), for uncertainty quantification (UQ) of dynamical systems. TrafficFlowGAN adopts a normalizing flow model as the generator to…

Machine Learning · Computer Science 2022-10-18 Zhaobin Mo , Yongjie Fu , Daran Xu , Xuan Di

Multi-output Gaussian process (MGP) models have attracted significant attention for their flexibility and uncertainty-quantification capabilities, and have been widely adopted in multi-source transfer learning scenarios due to their ability…

Machine Learning · Computer Science 2025-12-12 Duo Wang , Xinming Wang , Chao Wang , Xiaowei Yue , Jianguo Wu

Modeling stochastic traffic dynamics is critical to developing self-driving cars. Because it is difficult to develop first principle models of cars driven by humans, there is great potential for using data driven approaches in developing…

Machine Learning · Computer Science 2022-02-22 Ke Sun , Stephen Chaves , Paul Martin , Vijay Kumar