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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,…

Geophysics · Physics 2025-02-26 Christopher Zerafa , Pauline Galea , Cristiana Sebu

Layout design with complex constraints is a challenging problem to solve due to the non-uniqueness of the solution and the difficulties in incorporating the constraints into the conventional optimization-based methods. In this paper, we…

Signal Processing · Electrical Eng. & Systems 2018-06-11 Yujie Zhang , Wenjing Ye

Quantitative imaging methods, such as magnetic resonance fingerprinting (MRF), aim to extract interpretable pathology biomarkers by estimating biophysical tissue parameters from signal evolutions. However, the pattern-matching algorithms or…

Accelerating deep neural networks (DNNs) has been attracting increasing attention as it can benefit a wide range of applications, e.g., enabling mobile systems with limited computing resources to own powerful visual recognition ability. A…

Computer Vision and Pattern Recognition · Computer Science 2017-12-21 Tianshui Chen , Liang Lin , Wangmeng Zuo , Xiaonan Luo , Lei Zhang

Frequency-domain full-waveform inversion (FWI) is suitable for long-offset stationary-recording acquisition, since reliable subsurface models can be reconstructed with a few frequencies and attenuation is easily implemented without…

Computational Physics · Physics 2020-04-20 Victorita Dolean , Pierre Jolivet , Stéphane Operto , Pierre-Henri Tournier

Full waveform inversion (FWI) is a highly nonlinear and ill-posed problem. On one hand, it can be easily trapped in a local minimum. On the other hand, the inversion results may exhibit strong artifacts and reduced resolution because of…

Geophysics · Physics 2018-09-26 Dongzhuo Li , Jerry M. Harris

Time-lapse full-waveform inversion (FWI) has become a powerful tool for characterizing and monitoring subsurface changes in various geophysical applications. However, non-repeatability (NR) issues caused, for instance, by GPS inaccuracies,…

Geophysics · Physics 2024-07-11 Sergio Luiz E. F. da Silva , Ammir Karsou , Roger M. Moreira , Marco Cetale

Efficient high-rank approximations of the Hessian can accelerate seismic full waveform inversion (FWI) and uncertainty quantification (UQ). In FWI, approximations of the inverse of the Hessian may be used as preconditioners for Newton-type…

Numerical Analysis · Mathematics 2025-08-12 Mathew Hu , Nick Alger , Rami Nammour , Omar Ghattas

Markov chain Monte Carlo (MCMC) methods are fundamental to Bayesian computation, but can be computationally intensive, especially in high-dimensional settings. Push-forward generative models, such as generative adversarial networks (GANs),…

Machine Learning · Computer Science 2026-02-25 Jonathan Spence , Tobías I. Liaudat , Konstantinos Zygalakis , Marcelo Pereyra

We propose a new class of physics-informed neural networks, called physics-informed Variational Autoencoder (PI-VAE), to solve stochastic differential equations (SDEs) or inverse problems involving SDEs. In these problems the governing…

Machine Learning · Statistics 2022-11-09 Weiheng Zhong , Hadi Meidani

Variational autoencoders (VAE) are powerful generative models that learn the latent representations of input data as random variables. Recent studies show that VAE can flexibly learn the complex temporal dynamics of time series and achieve…

Machine Learning · Computer Science 2023-11-14 Borui Cai , Shuiqiao Yang , Longxiang Gao , Yong Xiang

An accurate velocity model is essential to make a good seismic image. Conventional methods to perform Velocity Model Building (VMB) tasks rely on inverse methods, which, despite being widely used, are ill-posed problems that require intense…

Missing input sequences are common in medical imaging data, posing a challenge for deep learning models reliant on complete input data. In this work, inspired by MultiMAE [2], we develop a masked autoencoder (MAE) paradigm for multi-modal,…

Computer Vision and Pattern Recognition · Computer Science 2026-02-04 Ayhan Can Erdur , Christian Beischl , Daniel Scholz , Jiazhen Pan , Benedikt Wiestler , Daniel Rueckert , Jan C Peeken

Visual counterfactual explanation (CF) methods modify image concepts, e.g, shape, to change a prediction to a predefined outcome while closely resembling the original query image. Unlike self-explainable models (SEMs) and heatmap…

Computer Vision and Pattern Recognition · Computer Science 2024-09-20 Anselm Haselhoff , Kevin Trelenberg , Fabian Küppers , Jonas Schneider

Variational autoencoders (VAEs) are latent variable models that can generate complex objects and provide meaningful latent representations. Moreover, they could be further used in downstream tasks such as classification. As previous work…

Machine Learning · Computer Science 2022-10-13 Anna Kuzina , Max Welling , Jakub M. Tomczak

This paper proposes a new methodology for performing Bayesian inference in imaging inverse problems where the prior knowledge is available in the form of training data. Following the manifold hypothesis and adopting a generative modelling…

Methodology · Statistics 2021-03-19 Matthew Holden , Marcelo Pereyra , Konstantinos C. Zygalakis

Uncertainty quantification of groundwater (GW) aquifer parameters is critical for efficient management and sustainable extraction of GW resources. These uncertainties are introduced by the data, model, and prior information on the…

Geophysics · Physics 2021-12-08 Amal Alghamdi , Marc Hesse , Jingyi Chen , Umberto Villa , Omar Ghattas

Edema is a potential indicator of underlying pathological changes. However, its low-contrast signature is often masked in conventional B-mode imaging by strong scatterers, making reliable detection challenging. Ultrasound (US) provides a…

Signal Processing · Electrical Eng. & Systems 2026-03-09 Ruizhi Zhang , Yhonatan Kvich , Rui Guo , Oded Cohen , Yonina C. Eldar

Variational Autoencoders (VAEs) have gained significant popularity among researchers as a powerful tool for understanding unknown distributions based on limited samples. This popularity stems partly from their impressive performance and…

Machine Learning · Computer Science 2024-02-27 Saptarshi Chakraborty , Peter L. Bartlett

Image compression has been investigated as a fundamental research topic for many decades. Recently, deep learning has achieved great success in many computer vision tasks, and is gradually being used in image compression. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2018-04-26 Zhengxue Cheng , Heming Sun , Masaru Takeuchi , Jiro Katto