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High-speed train (HST) has garnered significant attention from both academia and industry due to the rapid development of railways worldwide. Millimeter wave (mmWave) communication, known for its large bandwidth is an effective way to…

Information Theory · Computer Science 2024-09-12 Changzhu Liu , Ruisi He , Yong Niu , Shiwen Mao , Bo Ai , Ruifeng Chen

Deploying deep learning models in safety-critical applications remains a very challenging task, mandating the provision of assurances for the dependable operation of these models. Uncertainty quantification (UQ) methods estimate the model's…

Machine Learning · Computer Science 2024-01-23 Daniel Bethell , Simos Gerasimou , Radu Calinescu

In safety-critical control, managing safety constraints with high relative degrees and uncertain obstacle dynamics pose significant challenges in guaranteeing safety performance. Robust Control Barrier Functions (RCBFs) offer a potential…

Optimization and Control · Mathematics 2024-12-06 Kwang Hak Kim , Mamadou Diagne , Miroslav Krstić

Meshless solution to differential equations using radial basis functions (RBF) is an alternative to grid based methods commonly used. Since the meshless method does not need an underlying connectivity in the form of control volumes or…

Numerical Analysis · Mathematics 2021-09-15 Shantanu Shahane , Anand Radhakrishnan , Surya Pratap Vanka

Kalman-type filtering techniques including cubature Kalman filter (CKF) does not work well in non-Gaussian environments, especially in the presence of outliers. To solve this problem, Huber's M-estimation based robust CKF (RCKF) is proposed…

Systems and Control · Computer Science 2020-03-06 Yang Li , Jing Li , Junjian Qi , Liang Chen

A fundamental challenge for millimeter wave (mmWave) communications lies in its sensitivity to the presence of blockages, which impact the connectivity of the communication links and ultimately the reliability of the entire network. In this…

Signal Processing · Electrical Eng. & Systems 2021-01-05 Gui Zhou , Cunhua Pan , Hong Ren , Kezhi Wang , Maged Elkashlan , Marco Di Renzo

Slurry transportation via pipelines is essential for global industries, offering efficiency and environmental benefits. Specifically, the precise calibration of physical parameters for transporting raw phosphate material to fertilizer…

Fluid Dynamics · Physics 2024-06-13 Marwane Elkarii , Radouan Boukharfane , Nabil El Moçayd

Reliable uncertainty quantification is essential for deploying machine learning systems in high-stakes domains. Conformal prediction provides distribution-free coverage guarantees but often produces overly large prediction sets, limiting…

Machine Learning · Computer Science 2026-04-28 Yunpeng Xu , Wenge Guo , Zhi Wei

Autonomous proximity operations, such as active debris removal and on-orbit servicing, require high-fidelity relative navigation solutions that remain robust in the presence of parametric uncertainty. Standard estimation frameworks…

Robotics · Computer Science 2026-03-31 Batu Candan , Simone Servadio

Simulation Based Calibration (SBC) is applied to analyse two commonly used, competing Markov chain Monte Carlo algorithms for estimating the posterior distribution of a stochastic volatility model. In particular, the bespoke 'off-set…

Applications · Statistics 2024-02-21 Benjamin Wee

Efficiently performing predictive studies of irradiated particle-laden turbulent flows has the potential of providing significant contributions towards better understanding and optimizing, for example, concentrated solar power systems. As…

Computational Physics · Physics 2018-08-20 Hillary R. Fairbanks , Lluis Jofre , Gianluca Geraci , Gianluca Iaccarino , Alireza Doostan

The rapid deployment of unmanned aerial vehicle (UAV) corridors in sixth-generation (6G) networks requires safe, intelligence-driven integrated sensing and communications (ISAC). Reconfigurable intelligent surfaces (RIS) enhance spectrum…

Systems and Control · Electrical Eng. & Systems 2025-10-30 Sana Hafeez , Ghulam E Mustafa Abro , Hifza Mustafa

Traffic congestion occurs as travel demand exceeds network capacity, necessitating a thorough understanding of network capacity for effective traffic control and management. The macroscopic fundamental diagram (MFD) provides an efficient…

Physics and Society · Physics 2025-08-28 Wenfei Ma , Yunping Huang , Nan Zheng , Tianlu Pan , Renxin Zhong

In the last few decades, uncertainty quantification (UQ) methods have been used widely to ensure the robustness of engineering designs. This chapter aims to detail recent advances in popular uncertainty quantification methods used in…

Computation · Statistics 2022-11-08 Dinesh Kumar , Farid Ahmed , Shoaib Usman , Ayodeji Alajo , Syed Alam

Surrogate models are necessary to optimize meaningful quantities in physical dynamics as their recursive numerical resolutions are often prohibitively expensive. It is mainly the case for fluid dynamics and the resolution of Navier-Stokes…

Machine Learning · Computer Science 2023-06-02 Florent Bonnet , Ahmed Jocelyn Mazari , Paola Cinnella , Patrick Gallinari

In this paper, we propose a novel channel estimation scheme for pulse-shaped multicarrier systems using smoothness regularization for ultra-reliable low-latency communication (URLLC). It can be applied to any multicarrier system with or…

Information Theory · Computer Science 2024-10-28 Andreas Pfadler , Tom Szollmann , Peter Jung , Slawomir Stanczak

The development of surrogate models to study uncertainties in hydrologic systems requires significant effort in the development of sampling strategies and forward model simulations. Furthermore, in applications where prediction time is…

Computational Physics · Physics 2023-01-19 Chen Chen , Clint Dawson , Eirik Valseth

Numerical models of complex real-world phenomena often necessitate High Performance Computing (HPC). Uncertainties increase problem dimensionality further and pose even greater challenges. We present a parallelization strategy for…

Mathematical Software · Computer Science 2021-08-02 Linus Seelinger , Anne Reinarz , Leonhard Rannabauer , Michael Bader , Peter Bastian , Robert Scheichl

We mainly concerned with a decoupled fractional Laplacian wave equation in this paper. A new time-space domain radial basis function (RBF) collocation method is introduced to solve the fractional wave equation, which describes seismic wave…

Computational Physics · Physics 2018-06-07 Yiran Xu , Jingye Li , Guofei Pang , Zhikai Wang , Xiaohong Chen , Benfeng Wang

We propose a novel framework for uncertainty quantification via information bottleneck (IB-UQ) for scientific machine learning tasks, including deep neural network (DNN) regression and neural operator learning (DeepONet). Specifically, we…

Numerical Analysis · Mathematics 2023-05-31 Ling Guo , Hao Wu , Wenwen Zhou , Yan Wang , Tao Zhou