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It is important to accurately model materials' properties at lower length scales (micro-level) while translating the effects to the components and/or system level (macro-level) can significantly reduce the amount of experimentation required…

Computers and Society · Computer Science 2022-11-08 Kazuma Kobayashi , Shoaib Usman , Carlos Castano , Dinesh Kumar , Syed Alam

The stochastic finite volume method offers an efficient one-pass approach for assessing uncertainty in hyperbolic conservation laws. Still, it struggles with the curse of dimensionality when dealing with multiple stochastic variables. We…

Numerical Analysis · Mathematics 2024-04-11 Steven Walton , Svetlana Tokareva , Gianmarco Manzini

The numerical approximation of partial differential equations (PDEs) poses formidable challenges in high dimensions since classical grid-based methods suffer from the so-called curse of dimensionality. Recent attempts rely on a combination…

Machine Learning · Computer Science 2023-07-31 Lorenz Richter , Leon Sallandt , Nikolas Nüsken

Transport map methods offer a powerful statistical learning tool that can couple a target high-dimensional random variable with some reference random variable using invertible transformations. This paper presents new computational…

Numerical Analysis · Mathematics 2023-03-07 Tiangang Cui , Sergey Dolgov , Olivier Zahm

Earth structural heterogeneities have a remarkable role in the petroleum economy for both exploration and production projects. Automatic detection of detailed structural heterogeneities is challenging when considering modern machine…

Computer Vision and Pattern Recognition · Computer Science 2024-04-17 Luiz Schirmer , Guilherme Schardong , Vinícius da Silva , Rogério Santos , Hélio Lopes

Training a deep neural network (DNN) often involves stochastic optimization, which means each run will produce a different model. Several works suggest this variability is negligible when models have the same performance, which in the case…

Machine Learning · Statistics 2023-10-03 Sinjini Banerjee , Reilly Cannon , Tim Marrinan , Tony Chiang , Anand D. Sarwate

Artificial Intelligence (AI) and, in particular, Machine Learning (ML) have emerged to be utilized in various applications due to their capability to learn how to solve complex problems. Over the last decade, rapid advances in ML have…

Machine Learning · Computer Science 2023-05-11 Mohammad Hasan Ahmadilivani , Mahdi Taheri , Jaan Raik , Masoud Daneshtalab , Maksim Jenihhin

Accurate predictions of the failure progression of structural materials is critical for preventing failure-induced accidents. Despite considerable mechanics modeling-based efforts, accurate prediction remains a challenging task in…

Materials Science · Physics 2022-05-19 Leslie Ching Ow Tiong , Gunjick Lee , Seok Su Sohn , Donghun Kim

Fault detection for key components in the braking system of freight trains is critical for ensuring railway transportation safety. Despite the frequently employed methods based on deep learning, these fault detectors are highly reliant on…

Computer Vision and Pattern Recognition · Computer Science 2022-11-29 Yang Zhang , Yang Zhou , Huilin Pan , Bo Wu , Guodong Sun

Fracture surfaces provide various types of information about fracture. The fracture toughness $K_{{\rm I}c}$, which represents the resistance to fracture, can be estimated using the three-dimensional (3D) information of a fracture surface,…

Materials Science · Physics 2022-05-02 Yoh-ichi Mototake , Kaita Ito , Masahiko Demura

Nonparametric mean function regression with repeated measurements serves as a cornerstone for many statistical branches, such as longitudinal/panel/functional data analysis. In this work, we investigate this problem using fully connected…

Statistics Theory · Mathematics 2025-02-27 Shunxing Yan , Fang Yao , Hang Zhou

In deep learning applications, the architectures of deep neural networks are crucial in achieving high accuracy. Many methods have been proposed to search for high-performance neural architectures automatically. However, these searched…

Machine Learning · Computer Science 2020-12-14 Ramtin Hosseini , Xingyi Yang , Pengtao Xie

In the present paper, an aerodynamic investigation of a high-speed train is performed. In the first section of this article, a generic high-speed train against a turbulent flow is simulated, numerically. The Reynolds-Averaged Navier-Stokes…

Functional data analysis offers a diverse toolkit of statistical methods tailored for analyzing samples of real-valued random functions. Recently, samples of time-varying random objects, such as time-varying networks, have been increasingly…

Methodology · Statistics 2025-03-10 Jiazhen Xu , Andrew T. A. Wood , Tao Zou

Despite the latest prevailing success of deep neural networks (DNNs), several concerns have been raised against their usage, including the lack of intepretability the gap between DNNs and other well-established machine learning models, and…

Machine Learning · Computer Science 2021-01-01 Jianghao Shen , Sicheng Wang , Zhangyang Wang

Traditional ground-penetrating radar (GPR) data inversion leverages iterative algorithms which suffer from high computation costs and low accuracy when applied to complex subsurface scenarios. Existing deep learning-based methods focus on…

Signal Processing · Electrical Eng. & Systems 2022-09-21 Qiqi Dai , Yee Hui Lee , Hai-Han Sun , Genevieve Ow , Mohamed Lokman Mohd Yusof , Abdulkadir C. Yucel

Accurate Defect detection is crucial for ensuring the trustworthiness of intelligent railway systems. Current approaches rely on single deep-learning models, like CNNs, which employ a large amount of data to capture underlying patterns.…

Computer Vision and Pattern Recognition · Computer Science 2023-11-28 Rahatara Ferdousi , Fedwa Laamarti , Chunsheng Yang , Abdulmotaleb El Saddik

Reliable real-time analysis of sensor data is essential for structural health monitoring (SHM) of high-value assets, yet a major challenge is to obtain spatially resolved full-field aleatoric and epistemic uncertainties for trustworthy…

Machine Learning · Computer Science 2025-12-04 Hanbin Cho , Jecheon Yu , Hyeonbin Moon , Jiyoung Yoon , Junhyeong Lee , Giyoung Kim , Jinhyoung Park , Seunghwa Ryu

Hybrid Optimization Software Suite (HOSS), which is a combined finite-discrete element method (FDEM), is one of the advanced approaches to simulating high-fidelity fracture and fragmentation processes but the application of pure HOSS…

Computational Engineering, Finance, and Science · Computer Science 2023-06-16 Shengyu Chen , Shihang Feng , Yao Huang , Zhou Lei , Xiaowei Jia , Youzuo Lin , Estaben Rougier

Reinforced concrete rail bridges are essential components of railway infrastructure, where reliability, durability, and adaptability are key design priorities. However, the design process is often complicated by uncertainties stemming from…

Numerical Analysis · Mathematics 2025-11-14 Mouhammed Achhab , Pierre Jehel , Fabrice Gatuingt