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Seismic inverse modeling is a common method in reservoir prediction and it plays a vital role in the exploration and development of oil and gas. Conventional seismic inversion method is difficult to combine with complicated and abstract…

Machine Learning · Statistics 2021-06-09 Pengfei Xie , YanShu Yin , JiaGen Hou , Mei Chen , Lixin Wang

Projection-based model reduction is among the most widely adopted methods for constructing parametric Reduced-Order Models (ROM). Utilizing the snapshot data from solving full-order governing equations, the Proper Orthogonal Decomposition…

Machine Learning · Statistics 2025-09-16 Xiao Liu , Jingyi Feng , Xinchao Liu

Limited angle CT reconstruction is an under-determined linear inverse problem that requires appropriate regularization techniques to be solved. In this work we study how pre-trained generative adversarial networks (GANs) can be used to…

Image and Video Processing · Electrical Eng. & Systems 2020-01-30 Rushil Anirudh , Hyojin Kim , Jayaraman J. Thiagarajan , K. Aditya Mohan , Kyle M. Champley

Existing generative adversarial network (GAN) based conditional image generative models typically produce fixed output for the same conditional input, which is unreasonable for highly subjective tasks, such as large-mask image inpainting or…

Computer Vision and Pattern Recognition · Computer Science 2024-03-14 Tianyi Chu , Wei Xing , Jiafu Chen , Zhizhong Wang , Jiakai Sun , Lei Zhao , Haibo Chen , Huaizhong Lin

The inverse mapping of GANs'(Generative Adversarial Nets) generator has a great potential value.Hence, some works have been developed to construct the inverse function of generator by directly learning or adversarial learning.While the…

Machine Learning · Computer Science 2017-09-13 Junyu Luo , Yong Xu , Chenwei Tang , Jiancheng Lv

We propose a novel modular inference approach combining two different generative models -- generative adversarial networks (GAN) and normalizing flows -- to approximate the posterior distribution of physics-based Bayesian inverse problems…

Computational Engineering, Finance, and Science · Computer Science 2023-10-10 Agnimitra Dasgupta , Dhruv V Patel , Deep Ray , Erik A Johnson , Assad A Oberai

Conditional Generative Adversarial Networks (cGANs) have enabled controllable image synthesis for many vision and graphics applications. However, recent cGANs are 1-2 orders of magnitude more compute-intensive than modern recognition CNNs.…

Computer Vision and Pattern Recognition · Computer Science 2021-11-12 Muyang Li , Ji Lin , Yaoyao Ding , Zhijian Liu , Jun-Yan Zhu , Song Han

Image denoising aims to remove noise while preserving structural details and perceptual realism, yet distortion-driven methods often produce over-smoothed reconstructions, especially under strong noise and distribution shift. This paper…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Nam Nguyen , Thinh Nguyen , Bella Bose

Generative adversarial networks (GANs) have gained considerable attention owing to their ability to reproduce images. However, they can recreate training images faithfully despite image degradation in the form of blur, noise, and…

Computer Vision and Pattern Recognition · Computer Science 2021-06-24 Takuhiro Kaneko , Tatsuya Harada

Recent accelerated MRI reconstruction models have used Deep Neural Networks (DNNs) to reconstruct relatively high-quality images from highly undersampled k-space data, enabling much faster MRI scanning. However, these techniques sometimes…

Image and Video Processing · Electrical Eng. & Systems 2021-04-12 Itzik Malkiel , Sangtae Ahn , Valentina Taviani , Anne Menini , Lior Wolf , Christopher J. Hardy

Inferring the latent variable generating a given test sample is a challenging problem in Generative Adversarial Networks (GANs). In this paper, we propose InvGAN - a novel framework for solving the inference problem in GANs, which involves…

Machine Learning · Computer Science 2019-12-02 Wei-An Lin , Yogesh Balaji , Pouya Samangouei , Rama Chellappa

Inverse problems have many applications in science and engineering. In Computer vision, several image restoration tasks such as inpainting, deblurring, and super-resolution can be formally modeled as inverse problems. Recently, methods have…

Computer Vision and Pattern Recognition · Computer Science 2024-09-19 Sai Bharath Chandra Gutha , Ricardo Vinuesa , Hossein Azizpour

Incorporating a deep generative model as the prior distribution in inverse problems has established substantial success in reconstructing images from corrupted observations. Notwithstanding, the existing optimization approaches use gradient…

Machine Learning · Computer Science 2023-01-31 Tianci Liu , Tong Yang , Quan Zhang , Qi Lei

Recent advances in generative artificial intelligence have had a significant impact on diverse domains spanning computer vision, natural language processing, and drug discovery. This work extends the reach of generative models into physical…

Machine Learning · Computer Science 2024-10-22 Christian Jacobsen , Yilin Zhuang , Karthik Duraisamy

Many crucial tasks of image processing and computer vision are formulated as inverse problems. Thus, it is of great importance to design fast and robust algorithms to solve these problems. In this paper, we focus on generalized projected…

Image and Video Processing · Electrical Eng. & Systems 2025-12-09 Ali Joundi , Yann Traonmilin , Alasdair Newson

Parallel imaging accelerates MRI data acquisition by acquiring additional sensitivity information with an array of receiver coils, resulting in fewer phase encoding steps. Because of fewer data requirements than parallel imaging, compressed…

Image and Video Processing · Electrical Eng. & Systems 2022-12-20 Farhan Sadik , Md. Kamrul Hasan

Image reconstruction including image restoration and denoising is a challenging problem in the field of image computing. We present a new method, called X-GANs, for reconstruction of arbitrary corrupted resource based on a variant of…

Computer Vision and Pattern Recognition · Computer Science 2018-08-15 Longfei Liu , Sheng Li , Yisong Chen , Guoping Wang

In this paper we study the performance of the Projected Gradient Descent(PGD) algorithm for $\ell_{p}$-constrained least squares problems that arise in the framework of Compressed Sensing. Relying on the Restricted Isometry Property, we…

Numerical Analysis · Mathematics 2013-03-05 Sohail Bahmani , Bhiksha Raj

Stochastic gradient descent (SGD) still is the workhorse for many practical problems. However, it converges slow, and can be difficult to tune. It is possible to precondition SGD to accelerate its convergence remarkably. But many attempts…

Machine Learning · Statistics 2017-02-23 Xi-Lin Li

We introduce a perturbed preconditioned gradient descent (PPGD) method for the unconstrained minimization of a strongly convex objective $G$ with a locally Lipschitz continuous gradient. We assume that $G(v)=E(v)+F(v)$ and that the gradient…

Optimization and Control · Mathematics 2025-12-23 Jea-Hyun Park , Abner J. Salgado , Steven M. Wise
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