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Pre-trained diffusion models have been successfully used as priors in a variety of linear inverse problems, where the goal is to reconstruct a signal from noisy linear measurements. However, existing approaches require knowledge of the…

Machine Learning · Computer Science 2023-06-28 Naoki Murata , Koichi Saito , Chieh-Hsin Lai , Yuhta Takida , Toshimitsu Uesaka , Yuki Mitsufuji , Stefano Ermon

Diffusion models (DMs) have emerged as powerful generative models for solving inverse problems, offering a good approximation of prior distributions of real-world image data. Typically, diffusion models rely on large-scale clean signals to…

Computer Vision and Pattern Recognition · Computer Science 2024-07-17 Yifei Wang , Weimin Bai , Weijian Luo , Wenzheng Chen , He Sun

Full waveform inversion (FWI) updates the velocity model by minimizing the discrepancy between observed and simulated data. However, discretization errors in numerical modeling and incomplete seismic data acquisition can introduce noise,…

Geophysics · Physics 2025-04-23 Xinru Mu , Omar M. Saad , Tariq Alkhalifah

We present a technique for reconstructing subsurface velocity model changes from time-lapse seismic survey data using full-waveform inversion (FWI). The technique is based on simultaneously inverting multiple survey vintages, with model…

Geophysics · Physics 2014-09-30 Musa Maharramov , Biondo Biondi

Full-waveform inversion (FWI) is a seismic imaging method that provides quantitative inference about subsurface properties with a wavelength-scale resolution. Its frequency-domain formulation is computationally efficient when processing…

Optimization and Control · Mathematics 2022-02-18 Hossein S. Aghamiry , Ali Gholami , Kamal Aghazade , Mahdi Sonbolestan , Stephane Operto

For the purpose of effective suppression of the cycle-skipping phenomenon in full waveform inversion (FWI), we developed a Deep Neural Network (DNN) approach to predict the absent low-frequency components by exploiting the implicit relation…

Geophysics · Physics 2019-12-23 Wenyi Hu , Yuchen Jin , Xuqing Wu , Jiefu Chen

Full-waveform inversion (FWI) is a powerful seismic imaging technique used to estimate high-resolution physical properties of subsurface structures by minimizing the misfit between observed and modeled seismic data. FWI is inherently a…

Geophysics · Physics 2025-12-19 Kamal Aghazade , Toktam Zand , Ali Gholami

Diffusion models have been firmly established as principled zero-shot solvers for linear and nonlinear inverse problems, owing to their powerful image prior and iterative sampling algorithm. These approaches often rely on Tweedie's formula,…

Machine Learning · Computer Science 2026-04-29 Jonathan Patsenker , Henry Li , Myeongseob Ko , Ruoxi Jia , Yuval Kluger

Diffusion models (DMs) have rapidly emerged as a powerful framework for image generation and restoration. However, existing DMs are primarily trained in a supervised manner by using a large corpus of clean images. This reliance on clean…

Image and Video Processing · Electrical Eng. & Systems 2025-10-15 Brett Levac , Jon Tamir , Marcelo Pereyra , Julian Tachella

Most existing MRI reconstruction methods perform tar-geted reconstruction of the entire MR image without tak-ing specific tissue regions into consideration. This may fail to emphasize the reconstruction accuracy on im-portant tissues for…

Image and Video Processing · Electrical Eng. & Systems 2023-09-06 Yu Guan , Chuanming Yu , Shiyu Lu , Zhuoxu Cui , Dong Liang , Qiegen Liu

Inverse design refers to the problem of optimizing the input of an objective function in order to enact a target outcome. For many real-world engineering problems, the objective function takes the form of a simulator that predicts how the…

Recently, diffusion models (DMs) have become the state-of-the-art method for image synthesis. Editing models based on DMs, known for their high fidelity and precision, have inadvertently introduced new challenges related to image copyright…

Cryptography and Security · Computer Science 2023-12-11 Mingtian Tan , Tianhao Wang , Somesh Jha

Complex degradations like noise, blur, and low resolution are typical challenges in real world image fusion tasks, limiting the performance and practicality of existing methods. End to end neural network based approaches are generally…

Computer Vision and Pattern Recognition · Computer Science 2026-04-13 Yu Shi , Yu Liu , Zhong-Cheng Wu , Juan Cheng , Huafeng Li , Xun Chen

Diffusion models have emerged as a promising class of generative models that map noisy inputs to realistic images. More recently, they have been employed to generate solutions to partial differential equations (PDEs). However, they still…

Machine Learning · Computer Science 2024-02-16 Amartya Mukherjee , Melissa M. Stadt , Lena Podina , Mohammad Kohandel , Jun Liu

Deformable image registration aims to precisely align medical images from different modalities or times. Traditional deep learning methods, while effective, often lack interpretability, real-time observability and adjustment capacity during…

Computer Vision and Pattern Recognition · Computer Science 2024-10-08 Yongtai Zhuo , Yiqing Shen

Diffusion models generate high-quality synthetic data. They operate by defining a continuous-time forward process which gradually adds Gaussian noise to data until fully corrupted. The corresponding reverse process progressively "denoises"…

Score-based stochastic denoising models have recently been demonstrated as powerful machine learning tools for conditional and unconditional image generation. The existing methods are based on a forward stochastic process wherein the…

Full waveform inversion (FWI) is a challenging, ill-posed nonlinear inverse problem that requires robust regularization techniques to stabilize the solution and yield geologically meaningful results, especially when dealing with sparse…

Numerical Analysis · Mathematics 2025-05-02 Ali Gholami , Silvia Gazzola

Diffusion models (DMs) have recently shown outstanding capabilities in modeling complex image distributions, making them expressive image priors for solving Bayesian inverse problems. However, most existing DM-based methods rely on…

Image and Video Processing · Electrical Eng. & Systems 2024-11-08 Zihui Wu , Yu Sun , Yifan Chen , Bingliang Zhang , Yisong Yue , Katherine L. Bouman

Denoising Diffusion Probabilistic Models (DDPMs) have significantly advanced generative AI, achieving impressive results in high-quality image and data generation. However, enhancing fidelity without compromising semantic content remains a…

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