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The paper presents an efficient and robust data-driven deep learning (DL) computational framework developed for linear continuum elasticity problems. The methodology is based on the fundamentals of the Physics Informed Neural Networks…

Machine Learning · Computer Science 2023-02-21 Arunabha M. Roy , Rikhi Bose

In this work, we employ neural fields, which use neural networks to map a coordinate to the corresponding physical property value at that coordinate, in a test-time learning manner. For a test-time learning method, the weights are learned…

Machine Learning · Computer Science 2025-07-25 Anran Xu , Lindsey J. Heagy

Full-waveform inversion (FWI) is a widely used technique in seismic processing to produce high resolution Earth models that fully explain the recorded seismic data. FWI is a local optimisation problem which aims to minimise in a…

Geophysics · Physics 2019-11-22 Christopher Zerafa , Pauline Galea , Cristiana Sebu

In typical machine learning tasks and applications, it is necessary to obtain or create large labeled datasets in order to to achieve high performance. Unfortunately, large labeled datasets are not always available and can be expensive to…

Machine Learning · Statistics 2018-08-23 Rishi Sharma , Amir Barati Farimani , Joe Gomes , Peter Eastman , Vijay Pande

We propose a new learning-based approach to solve ill-posed inverse problems in imaging. We address the case where ground truth training samples are rare and the problem is severely ill-posed - both because of the underlying physics and…

Computer Vision and Pattern Recognition · Computer Science 2018-12-07 Sidharth Gupta , Konik Kothari , Maarten V. de Hoop , Ivan Dokmanić

This study takes advantage of recent advances in machine learning to establish a physics-based data analytic platform for distributed reconstruction of mechanical properties in layered components from full waveform data. In this vein, two…

Numerical Analysis · Mathematics 2023-10-20 Yang Xu , Fatemeh Pourahmadian , Jian Song , Conglin Wang

Regularization plays a pivotal role in integrating prior information into inverse problems. While many deep learning methods have been proposed to solve inverse problems, determining where to apply regularization remains a crucial…

Numerical Analysis · Mathematics 2024-03-22 Ke Chen , Chunmei Wang , Haizhao Yang

The image reconstruction process in medical imaging can be treated as solving an inverse problem. The inverse problem is usually solved using time-consuming iterative algorithms with sparsity or other constraints. Recently, deep neural…

Medical Physics · Physics 2021-10-29 Jingke Zhang , Qiong He , Congzhi Wang , Hongen Liao , Jianwen Luo

Diffusion models have become a successful approach for solving various image inverse problems by providing a powerful diffusion prior. Many studies tried to combine the measurement into diffusion by score function replacement, matrix…

Computer Vision and Pattern Recognition · Computer Science 2024-05-20 Hanyu Chen , Zhixiu Hao , Liying Xiao

Inverse problems arise in a variety of imaging applications including computed tomography, non-destructive testing, and remote sensing. The characteristic features of inverse problems are the non-uniqueness and instability of their…

Numerical Analysis · Mathematics 2020-06-09 Markus Haltmeier , Linh V. Nguyen

Modeling of turbulent flows is still challenging. One way to deal with the large scale separation due to turbulence is to simulate only the large scales and model the unresolved contributions as done in large-eddy simulation (LES). This…

Computational Physics · Physics 2019-10-03 Mathis Bode , Michael Gauding , Konstantin Kleinheinz , Heinz Pitsch

We consider in this work an inverse acoustic scattering problem when only phaseless data is available. The inverse problem is highly nonlinear and ill-posed due to the lack of the phase information. Solving inverse scattering problems with…

Numerical Analysis · Mathematics 2025-03-26 Jianfeng Ning , Fuqun Han , Jun Zou

We present a latent diffusion-based differentiable inversion method (LD-DIM) for PDE-constrained inverse problems involving high-dimensional spatially distributed coefficients. LD-DIM couples a pretrained latent diffusion prior with an…

Numerical Analysis · Mathematics 2025-12-30 Zihan Lin , QiZhi He

Deep neural networks (DNN) have shown great capacity of modeling a dynamical system; nevertheless, they usually do not obey physics constraints such as conservation laws. This paper proposes a new learning framework named ConCerNet to…

Machine Learning · Computer Science 2023-07-20 Wang Zhang , Tsui-Wei Weng , Subhro Das , Alexandre Megretski , Luca Daniel , Lam M. Nguyen

Recent applications of deep learning in the seismic domain have shown great potential in different areas such as inversion and interpretation. Deep learning algorithms, in general, require tremendous amounts of labeled data to train…

Image and Video Processing · Electrical Eng. & Systems 2019-06-03 Motaz Alfarraj , Ghassan AlRegib

Deep learning (DL) has revolutionized many fields such as materials design and protein folding. Recent studies have demonstrated the advantages of DL in the inverse design of structural colors, by effectively learning the complex nonlinear…

Optics · Physics 2026-05-22 Sichao Shan , Han Ye , Zhengmei Yang , Junpeng Hou , Zhitong Li

By absorbing the merits of both the model- and data-driven methods, deep physics-engaged learning scheme achieves high-accuracy and interpretable image reconstruction. It has attracted growing attention and become the mainstream for inverse…

Computer Vision and Pattern Recognition · Computer Science 2023-07-19 Bin Chen , Jiechong Song , Jingfen Xie , Jian Zhang

This work is concerned with the following fundamental question in scientific machine learning: Can deep-learning-based methods solve noise-free inverse problems to near-perfect accuracy? Positive evidence is provided for the first time,…

Image and Video Processing · Electrical Eng. & Systems 2022-07-13 Martin Genzel , Ingo Gühring , Jan Macdonald , Maximilian März

The automated interpretation and inversion of seismic data have advanced significantly with the development of Deep Learning (DL) methods. However, these methods often require numerous costly well logs, limiting their application only to…

Geophysics · Physics 2024-10-28 Yimin Dou , Kewen Li , Wenjun Lv , Timing Li , Hongjie Duan , Zhifeng Xu

Originally designed for applications in computer graphics, visual computing (VC) methods synthesize information about physical and virtual worlds, using prescribed algorithms optimized for spatial computing. VC is used to analyze geometry,…

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