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Seismic events, among many other natural hazards, reduce due functionality and exacerbate vulnerability of in-service buildings. Accurate modeling and prediction of building's response subjected to earthquakes makes possible to evaluate…

信号处理 · 电气工程与系统科学 2019-09-19 Ruiyang Zhang , Yang Liu , Hao Sun

Physics-constrained neural networks are commonly employed to enhance prediction robustness compared to purely data-driven models, achieved through the inclusion of physical constraint losses during the model training process. However, one…

机器学习 · 计算机科学 2024-02-06 Hao Zhou , Sibo Cheng , Rossella Arcucci

Machine learning using quantum convolutional neural networks (QCNNs) has demonstrated success in both quantum and classical data classification. In previous studies, QCNNs attained a higher classification accuracy than their classical…

量子物理 · 物理学 2023-09-29 Juhyeon Kim , Joonsuk Huh , Daniel K. Park

Modern cosmological research in large scale structure has witnessed an increasing number of applications of machine learning methods. Among them, Convolutional Neural Networks (CNNs) have received substantial attention due to their…

宇宙学与河外天体物理 · 物理学 2024-02-16 Zhengyangguang Gong , Anik Halder , Annabelle Bohrdt , Stella Seitz , David Gebauer

Physics Informed Neural Networks is a numerical method which uses neural networks to approximate solutions of partial differential equations. It has received a lot of attention and is currently used in numerous physical and engineering…

数值分析 · 数学 2025-07-10 Dimitrios Gazoulis , Ioannis Gkanis , Charalambos G. Makridakis

Long-term climate projections require running global Earth system models on timescales of hundreds of years and have relatively coarse resolution (from 40 to 160 km in the horizontal) due to their high computational costs. Unresolved…

量子物理 · 物理学 2025-02-17 Lorenzo Pastori , Arthur Grundner , Veronika Eyring , Mierk Schwabe

With electric power systems becoming more compact and increasingly powerful, the relevance of thermal stress especially during overload operation is expected to increase ceaselessly. Whenever critical temperatures cannot be measured…

机器学习 · 计算机科学 2022-11-03 Wilhelm Kirchgässner , Oliver Wallscheid , Joachim Böcker

Convolutional Neural Networks have dramatically improved in recent years, surpassing human accuracy on certain problems and performance exceeding that of traditional computer vision algorithms. While the compute pattern in itself is…

计算机视觉与模式识别 · 计算机科学 2018-07-10 Michaela Blott , Thomas B. Preusser , Nicholas Fraser , Giulio Gambardella , Kenneth OBrien , Yaman Umuroglu , Miriam Leeser

Physics-informed neural networks (PINNs) have recently emerged as an alternative way of solving partial differential equations (PDEs) without the need of building elaborate grids, instead, using a straightforward implementation. In…

偏微分方程分析 · 数学 2019-09-04 Dongkun Zhang , Lu Lu , Ling Guo , George Em Karniadakis

Strong intelligent machines powered by deep neural networks are increasingly deployed as black boxes to make decisions in risk-sensitive domains, such as finance and medical. To reduce potential risk and build trust with users, it is…

计算机视觉与模式识别 · 计算机科学 2019-09-13 Lingyang Chu , Xia Hu , Juhua Hu , Lanjun Wang , Jian Pei

Whilst the Universal Approximation Theorem guarantees the existence of approximations to Sobolev functions -- the natural function spaces for PDEs -- by Neural Networks (NNs) of sufficient size, low-regularity solutions may lead to poor…

数值分析 · 数学 2024-05-24 Jamie M. Taylor , David Pardo , Judit Muñoz-Matute

Signal processing, communications, and control have traditionally relied on classical statistical modeling techniques. Such model-based methods utilize mathematical formulations that represent the underlying physics, prior information and…

信号处理 · 电气工程与系统科学 2022-09-13 Nir Shlezinger , Jay Whang , Yonina C. Eldar , Alexandros G. Dimakis

Physics-informed neural network architectures have emerged as a powerful tool for developing flexible PDE solvers which easily assimilate data, but face challenges related to the PDE discretization underpinning them. By instead adapting a…

Despite the success of neural networks (NNs), there is still a concern among many over their "black box" nature. Why do they work? Here we present a simple analytic argument that NNs are in fact essentially polynomial regression models.…

机器学习 · 计算机科学 2019-04-11 Xi Cheng , Bohdan Khomtchouk , Norman Matloff , Pete Mohanty

Real-time, physically-consistent predictions on low-power edge devices is critical for the next generation embodied AI systems, yet it remains a major challenge. Physics-Informed Neural Networks (PINNs) combine data-driven learning with…

机器学习 · 计算机科学 2025-12-01 Chi Zhang , Lin Wang

For multilayer materials in thin substrate systems, interfacial failure is one of the most challenges. The traction-separation relations (TSR) quantitatively describe the mechanical behavior of a material interface undergoing openings,…

计算工程、金融与科学 · 计算机科学 2020-12-01 Jiaxin Zhang , Congjie Wei , Chenglin Wu

With the rapid advance of Machine Learning techniques and the deep increase of availability of scientific data, data-driven approaches have started to become progressively popular across science, causing a fundamental shift in the…

数值分析 · 数学 2023-06-06 Giulia Bertaglia

Accurate uncertainty quantification in graph neural networks (GNNs) is essential, especially in high-stakes domains where GNNs are frequently employed. Conformal prediction (CP) offers a promising framework for quantifying uncertainty by…

机器学习 · 计算机科学 2023-12-06 Seohyeon Cha , Honggu Kang , Joonhyuk Kang

We investigate the potential of combining the computational power of noisy quantum computers and of classical scalable convolutional neural networks (CNNs). The goal is to accurately predict exact expectation values of parameterized quantum…

量子物理 · 物理学 2024-09-02 Simone Cantori , Andrea Mari , David Vitali , Sebastiano Pilati

Deep learning (DL) models have received particular attention in medical imaging due to their promising pattern recognition capabilities. However, Deep Neural Networks (DNNs) require a huge amount of data, and because of the lack of…

图像与视频处理 · 电气工程与系统科学 2021-07-27 Donya Khaledyan , AmirReza Tajally , Ali Sarkhosh , Afshar Shamsi , Hamzeh Asgharnezhad , Abbas Khosravi , Saeid Nahavandi