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Geophysical inversion attempts to estimate the distribution of physical properties in the Earth's interior from observations collected at or above the surface. Inverse problems are commonly posed as least-squares optimization problems in…

Geophysics · Physics 2019-05-22 Vladimir Puzyrev

Sharpness-aware minimization (SAM) is known to improve the generalization performance of neural networks. However, it is not widely used in real-world applications yet due to its expensive model perturbation cost. A few variants of SAM have…

Machine Learning · Computer Science 2025-03-19 Sunwoo Lee

Neural networks have become a prominent approach to solve inverse problems in recent years. Amongst the different existing methods, the Deep Image/Inverse Priors (DIPs) technique is an unsupervised approach that optimizes a highly…

Machine Learning · Computer Science 2023-03-21 Nathan Buskulic , Yvain Quéau , Jalal Fadili

Multi-user multiple-input multiple-output (MU-MIMO) beamforming design is typically formulated as a non-convex weighted sum rate (WSR) maximization problem that is known to be NP-hard. This problem is solved either by iterative algorithms,…

Signal Processing · Electrical Eng. & Systems 2022-10-28 Jing-Yuan Xia , Zhixiong Yang , Tong Qiu , Huaizhang Liao , Deniz Gunduz

SUMMARY Geophysical imaging using the inversion procedure is a powerful tool for the exploration of the Earth's subsurface. However, the interpretation of inverted images can sometimes be difficult, due to the inherent limitations of…

Full-waveform inversion (FWI) is a widely used technique in seismic processing to produce high resolution Earth models that fully explain the recorded seismic data. FWI is a local optimisation problem which aims to minimise in a…

Geophysics · Physics 2019-11-22 Christopher Zerafa , Pauline Galea , Cristiana Sebu

In this paper, we consider an intelligent reflecting surface (IRS)-aided single-user system where an IRS with discrete phase shifts is deployed to assist the uplink communication. A practical transmission protocol is proposed to execute…

Information Theory · Computer Science 2019-12-24 Changsheng You , Beixiong Zheng , Rui Zhang

Blind image deblurring is an important yet very challenging problem in low-level vision. Traditional optimization based methods generally formulate this task as a maximum-a-posteriori estimation or variational inference problem, whose…

Image and Video Processing · Electrical Eng. & Systems 2021-06-08 Hui Wang , Zongsheng Yue , Qian Zhao , Deyu Meng

Images degraded by geometric distortions pose a significant challenge to imaging and computer vision tasks such as object recognition. Deep learning-based imaging models usually fail to give accurate performance for geometrically distorted…

Computer Vision and Pattern Recognition · Computer Science 2026-03-18 Han Zhang , Qiguang Chen , Lok Ming Lui

In this paper, we propose to reformulate the blind image deblurring task to directly learn an inverse of the degradation model represented by a deep linear network. We introduce Deep Identity Learning (DIL), a novel learning strategy that…

Computer Vision and Pattern Recognition · Computer Science 2024-11-06 Vamsidhar Saraswathula , Rama Krishna Gorthi

Optimization algorithms for solving nonconvex inverse problem have attracted significant interests recently. However, existing methods require the nonconvex regularization to be smooth or simple to ensure convergence. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2020-03-26 Qingchao Zhang , Xiaojing Ye , Hongcheng Liu , Yunmei Chen

Imaging Earth structure or seismic sources from seismic data involves minimizing a target misfit function, and is commonly solved through gradient-based optimization. The adjoint-state method has been developed to compute the gradient…

Computational Physics · Physics 2021-04-28 Weiqiang Zhu , Kailai Xu , Eric Darve , Gregory C. Beroza

We present a framework that enables estimation of low-dimensional sub-resolution reservoir properties directly from seismic data, without requiring the solution of a high dimensional seismic inverse problem. Our workflow is based on the…

Geophysics · Physics 2019-05-15 Anshuman Pradhan , Tapan Mukerji

This paper addresses the topic of sparsifying deep neural networks (DNN's). While DNN's are powerful models that achieve state-of-the-art performance on a large number of tasks, the large number of model parameters poses serious storage and…

Machine Learning · Computer Science 2018-02-07 Igor Fedorov , Bhaskar D. Rao

Minimizing a convex function of a measure with a sparsity-inducing penalty is a typical problem arising, e.g., in sparse spikes deconvolution or two-layer neural networks training. We show that this problem can be solved by discretizing the…

Optimization and Control · Mathematics 2020-11-04 Lenaic Chizat

We present vec2pix, a deep neural network designed to predict categorical or continuous 2D subsurface property fields from one-dimensional measurement data (e.g., time series), thereby offering a new approach to solve inverse problems. The…

Geophysics · Physics 2020-11-11 Eric Laloy , Niklas Linde , Diederik Jacques

We propose a novel method for compressed sensing recovery using untrained deep generative models. Our method is based on the recently proposed Deep Image Prior (DIP), wherein the convolutional weights of the network are optimized to match…

Deep neural networks (DNNs) can learn accurately from large quantities of labeled input data, but often fail to do so when labelled data are scarce. DNNs sometimes fail to generalize ontest data sampled from different input distributions.…

Geophysics · Physics 2025-04-15 M Quamer Nasim , Tannistha Maiti , Ayush Srivastava , Tarry Singh , Jie Mei

Recent advances in reconstruction methods for inverse problems leverage powerful data-driven models, e.g., deep neural networks. These techniques have demonstrated state-of-the-art performances for several imaging tasks, but they often do…

Computer Vision and Pattern Recognition · Computer Science 2020-10-20 Riccardo Barbano , Chen Zhang , Simon Arridge , Bangti Jin

Seismic data reconstruction is an effective tool for compensating nonuniform and incomplete seismic geometry. Compared with methods for 2D seismic data, 3D reconstruction methods could consider more spatial structure correlation in seismic…

Geophysics · Physics 2024-06-21 Xinyang Wang , Qianyu Ge , Xintong Dong , Shiqi Dong , Tie Zhong
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