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Full waveform inversion (FWI) is a high-resolution seismic inversion technique popularly used in oil and gas exploration. Traditional FWI employs the $l_2$ norm measurement to minimize the misfit between observed and predicted seismic data.…

Geophysics · Physics 2025-04-03 Liangsheng He , Chao Song , Cai Liu

The success of deep learning has inspired recent interests in applying neural networks in statistical inference. In this paper, we investigate the use of deep neural networks for nonparametric regression with measurement errors. We propose…

Machine Learning · Statistics 2020-07-16 Zhirui Hu , Zheng Tracy Ke , Jun S Liu

Mammography screening for early detection of breast lesions currently suffers from high amounts of false positive findings, which result in unnecessary invasive biopsies. Diffusion-weighted MR images (DWI) can help to reduce many of these…

Seismic full-waveform inversion (FWI) provides high resolution images of the subsurface by exploiting information in the recorded seismic waveforms. This is achieved by solving a highly nonnlinear and nonunique inverse problem. Bayesian…

Geophysics · Physics 2023-02-22 Xin Zhang , Angus Lomas , Muhong Zhou , York Zheng , Andrew Curtis

Gravity inversion is the problem of estimating subsurface density distributions from observed gravitational field data. We consider the two-dimensional (2D) case, in which recovering density models from one-dimensional (1D) measurements…

Convolutional neural network (CNN) has achieved state-of-the-art performance in many different visual tasks. Learned from a large-scale training dataset, CNN features are much more discriminative and accurate than the hand-crafted features.…

Computer Vision and Pattern Recognition · Computer Science 2016-02-01 Guo-Sen Xie , Xu-Yao Zhang , Shuicheng Yan , Cheng-Lin Liu

Porous media is widely distributed in nature, found in environments such as soil, rock formations, and plant tissues, and is crucial in applications like subsurface oil and gas extraction, medical drug delivery, and filtration systems.…

Geophysics · Physics 2025-01-03 Qingqi Zhao , Xiaoxue Han , Ruichang Guo , Cheng Chen

Among hardware accelerators for deep-learning inference, data flow implementations offer low latency and high throughput capabilities. In these architectures, each neuron is mapped to a dedicated hardware unit, making them well-suited for…

Machine Learning · Computer Science 2026-03-10 Tobias Habermann , Michael Mecik , Zhenyu Wang , César David Vera , Martin Kumm , Mario Garrido

Phase-field models have been widely used to investigate the phase transformation phenomena. However, it is difficult to solve the problems numerically due to their strong nonlinearities and higher-order terms. This work is devoted to…

Numerical Analysis · Mathematics 2024-07-23 Gang Bao , Chang Ma , Yuxuan Gong

Several variants of Convolutional Neural Networks (CNN) have been developed for Magnetic Resonance (MR) image reconstruction. Among them, U-Net has shown to be the baseline architecture for MR image reconstruction. However, sub-sampling is…

Image and Video Processing · Electrical Eng. & Systems 2020-01-09 Sriprabha Ramanarayanan , Balamurali Murugesan , Keerthi Ram , Mohanasankar Sivaprakasam

Summary: Errors in gradient trajectories introduce significant artifacts and distortions in magnetic resonance images, particularly in non-Cartesian imaging sequences, where imperfect gradient waveforms can greatly reduce image quality.…

Medical Physics · Physics 2025-06-19 Jonathan B. Martin , Hannah E. Alderson , John C. Gore , Mark D. Does , Kevin D. Harkins

We propose and test the Direct Waveform Inversion (DWI) scheme to simultaneously invert for layered velocity and density profiles, using reflection seismic waveforms recorded on the surface. The recorded data include primary reflections and…

Geophysics · Physics 2021-08-10 Zhonghan Liu , Yingcai Zheng , Hua-Wei Zhou

This paper proposes a new method that combines check-pointing methods with error-controlled lossy compression for large-scale high-performance Full-Waveform Inversion (FWI), an inverse problem commonly used in geophysical exploration. This…

The estimation of physical parameters from data analysis is a crucial point for the description and modeling of many complex systems. Based on R\'enyi $\alpha$-Gaussian distribution and patched Green's function (PGF) techniques, we propose…

Statistical Mechanics · Physics 2023-01-11 Wagner A. Barbosa , Sérgio Luiz E. F. da Silva , Erick de la Barra , João M. de Araújo

Convolutional Neural Networks (CNNs) are widely used in fault diagnosis of mechanical systems due to their powerful feature extraction and classification capabilities. However, the CNN is a typical black-box model, and the mechanism of…

Artificial Intelligence · Computer Science 2024-03-12 Qian Chen , Xingjian Dong , Guowei Tu , Dong Wang , Baoxuan Zhao , Zhike Peng

A neural network architecture is presented that exploits the multilevel properties of high-dimensional parameter-dependent partial differential equations, enabling an efficient approximation of parameter-to-solution maps, rivaling…

Machine Learning · Computer Science 2024-08-21 Janina Enrica Schütte , Martin Eigel

Deep neural networks have recently emerged as a disruptive technology to solve NP-hard wireless resource allocation problems in a real-time manner. However, the adopted neural network structures, e.g., multi-layer perceptron (MLP) and…

Information Theory · Computer Science 2019-07-22 Yifei Shen , Yuanming Shi , Jun Zhang , Khaled B. Letaief

In this article, continuous Galerkin finite elements are applied to perform full waveform inversion (FWI) for seismic velocity model building. A time-domain FWI approach is detailed that uses meshes composed of variably sized triangular…

Computational Engineering, Finance, and Science · Computer Science 2021-08-26 Keith J. Roberts , Alexandre Olender , Lucas Franceschini , Robert C. Kirby , Rafael S. Gioria , Bruno S. Carmo

Ground-penetrating radar (GPR) combines depth resolution, non-destructive operation, and broad material sensitivity, yet it has seen limited use in diagnosing building envelopes. The compact geometry of wall assemblies, where reflections…

Signal Processing · Electrical Eng. & Systems 2026-01-13 Ahmed Nirjhar Alam , Wesley Reinhart , Rebecca Napolitano

Conventional 2D Convolutional Neural Networks (CNN) extract features from an input image by applying linear filters. These filters compute the spatial coherence by weighting the photometric information on a fixed neighborhood without taking…

Computer Vision and Pattern Recognition · Computer Science 2020-09-24 Zongwei Wu , Guillaume Allibert , Christophe Stolz , Cedric Demonceaux
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