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Full waveform inversion (FWI) is capable of generating high-resolution subsurface parameter models, but it is susceptible to cycle-skipping when the data lack low-frequency. Unfortunately, the low-frequency components (< 5.0 Hz) are often…

地球物理 · 物理学 2024-01-17 Shijun Cheng , Yi Wang , Qingchen Zhang , Randy Harsuko , Tariq Alkhalifah

We introduce a new class of iterative image reconstruction algorithms for radio interferometry, at the interface of convex optimization and deep learning, inspired by plug-and-play methods. The approach consists in learning a prior image…

图像与视频处理 · 电气工程与系统科学 2022-09-28 Matthieu Terris , Arwa Dabbech , Chao Tang , Yves Wiaux

We theoretically analyze the Feedback Alignment (FA) algorithm, an efficient alternative to backpropagation for training neural networks. We provide convergence guarantees with rates for deep linear networks for both continuous and discrete…

机器学习 · 计算机科学 2021-10-22 Manuela Girotti , Ioannis Mitliagkas , Gauthier Gidel

Full-waveform inversion (FWI) estimates unknown parameters in the wave equation from limited boundary measurements. Recent advances in neural reparameterized FWI (NeurFWI) demonstrate that representing the parameters using a neural network…

地球物理 · 物理学 2026-05-15 Ruihua Chen , Yisi Luo , Bangyu Wu , Xile Zhao , Deyu Meng

Diffusion models have recently shown promise as powerful generative priors for inverse problems. However, conventional applications require solving the full reverse diffusion process and operating on noisy intermediate states, which poses…

地球物理 · 物理学 2025-06-13 Yuke Xie , Hervé Chauris , Nicolas Desassis

Full-waveform inversion (FWI), a popular technique that promises high-resolution models, has helped in improving the salt definition in inverted velocity models. The success of the inversion relies heavily on having prior knowledge of the…

地球物理 · 物理学 2022-01-11 Abdullah Alali , Vladimir Kazei , Mahesh Kalita , Tariq Alkhalifah

Wavefield reconstruction inversion (WRI) formulates a PDE-constrained optimization problem to reduce cycle skipping in full-waveform inversion (FWI). WRI often requires expensive matrix inversions to reconstruct frequency-domain wavefields.…

地球物理 · 物理学 2022-05-04 Chao Song , Tariq Alkhalifah

Full waveform inversion (FWI) is an iterative nonlinear waveform matching procedure subject to wave-equation constraint. FWI is highly nonlinear when the wave-equation constraint is enforced at each iteration. To mitigate nonlinearity,…

最优化与控制 · 数学 2019-10-29 Hossein S. Aghamiry , Ali Gholami , Stephane Operto

Training deep neural networks for scientific computing remains computationally expensive due to the slow formation of diverse feature representations in early training stages. Recent studies identify a staircase phenomenon in training…

数值分析 · 数学 2025-07-17 Tao Tang , Jiang Yang , Yuxiang Zhao , Quanhui Zhu

In salt provinces, full-waveform inversion (FWI) is most likely to fail when starting with a poor initial model that lacks the salt information. Conventionally, salt bodies are included in the FWI starting model by interpreting the salt…

地球物理 · 物理学 2023-04-07 Abdullah Alali , Tariq Alkhalifah

Full-Waveform Inversion (FWI) is a nonlinear iterative seismic imaging technique that, by reducing the misfit between recorded and predicted seismic waveforms, can produce detailed estimates of subsurface geophysical properties.…

地球物理 · 物理学 2024-11-22 Vahid Negahdari , Seyed Reza Moghadasi , Mohammad Reza Razvan

This review explores the integration of deep learning (DL) with full-waveform inversion (FWI) for enhanced seismic imaging and subsurface characterization. It covers FWI and DL fundamentals, geophysical applications (velocity estimation,…

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

Most of the available advanced misfit functions for full waveform inversion (FWI) are hand-crafted, and the performance of those misfit functions is data-dependent. Thus, we propose to learn a misfit function for FWI, entitled ML-misfit,…

地球物理 · 物理学 2020-03-19 Bingbing Sun , Tariq Alkhalifah

Training Deep Neural Networks is complicated by the fact that the distribution of each layer's inputs changes during training, as the parameters of the previous layers change. This slows down the training by requiring lower learning rates…

机器学习 · 计算机科学 2015-03-03 Sergey Ioffe , Christian Szegedy

This paper investigates multilevel initialization strategies for training very deep neural networks with a layer-parallel multigrid solver. The scheme is based on the continuous interpretation of the training problem as a problem of optimal…

机器学习 · 计算机科学 2019-12-20 Eric C. Cyr , Stefanie Günther , Jacob B. Schroder

Full-waveform inversion (FWI) estimates physical parameters in the wave equation from limited measurements and has been widely applied in geophysical exploration, medical imaging, and non-destructive testing. Conventional FWI methods are…

机器学习 · 计算机科学 2026-03-25 Ruihua Chen , Yisi Luo , Bangyu Wu , Deyu Meng

We introduce a method for fast estimation of data-adapted, spatio-temporally dependent regularization parameter-maps for variational image reconstruction, focusing on total variation (TV)-minimization. Our approach is inspired by recent…

Full waveform inversion (FWI) can be expressed in a Bayesian framework, where the associated uncertainties are captured by the posterior probability distribution (PPD). In practice, solving Bayesian FWI with sampling-based methods such as…

地球物理 · 物理学 2025-11-05 Shuhua Hu , Mrinal K Sen , Zeyu Zhao , Abdelrahman Elmeliegy , Shuo Zhang

Deep models trained on large amounts of data often incorporate implicit biases present during training time. If later such a bias is discovered during inference or deployment, it is often necessary to acquire new data and retrain the model.…

计算机视觉与模式识别 · 计算机科学 2024-04-19 Niklas Penzel , Gideon Stein , Joachim Denzler

Deep image prior (DIP) was recently introduced as an effective unsupervised approach for image restoration tasks. DIP represents the image to be recovered as the output of a deep convolutional neural network, and learns the network's…

图像与视频处理 · 电气工程与系统科学 2023-02-10 Riccardo Barbano , Johannes Leuschner , Maximilian Schmidt , Alexander Denker , Andreas Hauptmann , Peter Maaß , Bangti Jin