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Assume you encounter an inverse problem that shall be solved for a large number of data, but no ground-truth data is available. To emulate this encounter, in this study, we assume it is unknown how to solve the imaging problem of Computed…

Metasurfaces have become a promising means for manipulating optical wavefronts in flat and high-performance optical devices. Conventional metasurface device design relies on trial-and-error methods to obtain target electromagnetic (EM)…

Spatiotemporal projections in marine science are essential for understanding ocean systems and their impact on Earth's climate. However, existing AI-based and statistics-based inversion methods face challenges in leveraging ocean data,…

应用统计 · 统计学 2024-08-06 Zhixi Xiong , Yukang Jiang , Wenfang Lu , Xueqin Wang , Ting Tian

Estimating the material distribution of Earth's subsurface is a challenging task in seismology and earthquake engineering. The recent development of physics-informed neural network (PINN) has shed new light on seismic inversion. In this…

地球物理 · 物理学 2023-05-10 Pu Ren , Chengping Rao , Hao Sun , Yang Liu

Regularization methods improve the stability of ill-posed inverse problems by introducing some a priori characteristics for the solution such as smoothness or sharpness. In this contribution, we propose a multidimensional, scale-dependent…

地球物理 · 物理学 2023-01-27 Wouter Deleersnyder , Benjamin Maveau , David Dudal , Thomas Hermans

Deep neural networks (DNNs) have recently been applied to inverse scattering problems (ISPs) due to their strong nonlinear mapping capabilities. However, supervised DNN solvers require large-scale datasets, which limits their generalization…

机器学习 · 计算机科学 2026-01-28 Yutong Du , Zicheng Liu

We present a new approach to the electromagnetic inverse problem that explicitly addresses the ambiguity associated with its ill-posed character. Rather than calculating a single ``best'' solution according to some criterion, our approach…

神经元与认知 · 定量生物学 2007-05-23 David M. Schmidt , John S. George , C. C. Wood

Full-Waveform Inversion seeks to achieve a high-resolution model of the subsurface through the application of multi-variate optimization to the seismic inverse problem. Although now a mature technology, FWI has limitations related to the…

地球物理 · 物理学 2025-02-26 Christopher Zerafa , Pauline Galea , Cristiana Sebu

Accurate quantification of uncertainty in neural network predictions remains a central challenge for scientific applications involving high-dimensional, correlated data. While existing methods capture either aleatoric or epistemic…

机器学习 · 计算机科学 2025-08-26 Harrison J. Goldwyn , Mitchell Krock , Johann Rudi , Daniel Getter , Julie Bessac

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…

图像与视频处理 · 电气工程与系统科学 2019-06-03 Motaz Alfarraj , Ghassan AlRegib

The solution of nonlinear electromagnetic (EM) inverse scattering problems is typically hindered by several challenges such as ill-posedness, strong nonlinearity, and high computational costs. Recently, deep learning has been demonstrated…

计算物理 · 物理学 2020-01-08 Lianlin Li , Long Gang Wang , Fernando L. Teixeira

Downward continuation is a critical task in potential field processing, including gravity and magnetic fields, which aims to transfer data from one observation surface to another that is closer to the source of the field. Its effectiveness…

地球物理 · 物理学 2025-02-11 Jing Sun , Lu Li , Liang Zhang

In this work, we consider an inverse potential problem in the parabolic equation, where the unknown potential is a space-dependent function and the used measurement is the final time data. The unknown potential in this inverse problem is…

数值分析 · 数学 2023-07-28 Mengmeng Zhang , Zhidong Zhang

Deep learning and data-driven approaches have shown great potential in scientific domains. The promise of data-driven techniques relies on the availability of a large volume of high-quality training datasets. Due to the high cost of…

机器学习 · 计算机科学 2022-02-08 Yuxin Yang , Xitong Zhang , Qiang Guan , Youzuo Lin

Simulators based on neural networks offer a path to orders-of-magnitude faster electromagnetic wave simulations. Existing models, however, only address narrowly tailored classes of problems and only scale to systems of a few dozen degrees…

光学 · 物理学 2024-04-02 Charles Dove , Jatearoon Boondicharern , Laura Waller

The large spatial/temporal/frequency scale of geoscience and remote-sensing datasets causes memory issues when using convolutional neural networks for (sub-) surface data segmentation. Recently developed fully reversible or fully invertible…

地球物理 · 物理学 2024-07-02 Bas Peters , Eldad Haber , Keegan Lensink

Neural networks are increasingly being used in a variety of settings to predict wind direction and speed, two of the most important factors for estimating the potential power output of a wind farm. However, these predictions are arguably of…

大气与海洋物理 · 物理学 2022-06-22 Mariana C A Clare , Matthew D Piggott

Since model bias and associated initialization shock are serious shortcomings that reduce prediction skills in state-of-the-art decadal climate prediction efforts, we pursue a complementary machine-learning-based approach to climate…

大气与海洋物理 · 物理学 2022-11-09 Xihaier Luo , Balasubramanya T. Nadiga , Yihui Ren , Ji Hwan Park , Wei Xu , Shinjae Yoo

This paper outlines a new approach to designing tunable electromagnetic (EM) graphene-based metasurfaces using convolutional neural networks (CNNs). EM metasurfaces have previously been used to manipulate EM waves by adjusting the local…

应用物理 · 物理学 2023-07-21 Mehdi Kiani , Mahsa Zolfaghari , Jalal Kiani

In this survey paper, we review recent uses of convolution neural networks (CNNs) to solve inverse problems in imaging. It has recently become feasible to train deep CNNs on large databases of images, and they have shown outstanding…

图像与视频处理 · 电气工程与系统科学 2018-09-11 Michael T. McCann , Kyong Hwan Jin , Michael Unser