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Seismic processing often requires suppressing multiples that appear when collecting data. To tackle these artifacts, practitioners usually rely on Radon transform-based algorithms as post-migration gather conditioning. However, such…

Image and Video Processing · Electrical Eng. & Systems 2022-06-27 Ricard Durall , Ammar Ghanim , Norman Ettrich , Janis Keuper

Seismic coherent noise is often found in post-stack seismic data, which contaminates the resolution and integrity of seismic images. It is difficult to remove the coherent noise since the features of coherent noise, e.g., frequency, is…

Geophysics · Physics 2023-05-17 Xiao Ma , Gang Yao , Sanyi Yuan , Feng Zhang , Di Wu

Neural networks are usually not the tool of choice for nonparametric high-dimensional problems where the number of input features is much larger than the number of observations. Though neural networks can approximate complex multivariate…

Methodology · Statistics 2019-06-25 Jean Feng , Noah Simon

The reconstruction of the 3D permittivity map from ground-penetrating radar (GPR) data is of great importance for mapping subsurface environments and inspecting underground structural integrity. Traditional iterative 3D reconstruction…

Signal Processing · Electrical Eng. & Systems 2023-07-19 Qiqi Dai , Yee Hui Lee , Hai-Han Sun , Genevieve Ow , Mohamed Lokman Mohd Yusof , Abdulkadir C. Yucel

Intrinsic decomposition from a single image is a highly challenging task, due to its inherent ambiguity and the scarcity of training data. In contrast to traditional fully supervised learning approaches, in this paper we propose learning…

Computer Vision and Pattern Recognition · Computer Science 2018-02-07 Michael Janner , Jiajun Wu , Tejas D. Kulkarni , Ilker Yildirim , Joshua B. Tenenbaum

The promise of compressive sensing (CS) has been offset by two significant challenges. First, real-world data is not exactly sparse in a fixed basis. Second, current high-performance recovery algorithms are slow to converge, which limits CS…

Machine Learning · Statistics 2017-01-17 Ali Mousavi , Richard G. Baraniuk

Reverse engineering deep ReLU networks is a critical problem in understanding the complex behavior and interpretability of neural networks. In this research, we present a novel method for reconstructing deep ReLU networks by leveraging…

Machine Learning · Computer Science 2023-12-11 Mehrab Hamidi

Compressive imaging aims to recover a latent image from under-sampled measurements, suffering from a serious ill-posed inverse problem. Recently, deep neural networks have been applied to this problem with superior results, owing to the…

Image and Video Processing · Electrical Eng. & Systems 2021-10-26 Yixiao Yang , Ran Tao , Kaixuan Wei , Ying Fu

Accurate interpolation of seismic data is crucial for improving the quality of imaging and interpretation. In recent years, deep learning models such as U-Net and generative adversarial networks have been widely applied to seismic data…

Three-dimensional seismic full-waveform inversion (FWI) provides high-fidelity subsurface velocity models but is restricted by high computational cost, strong nonlinearity, cycle-skipping, and heavy dependence on initial models. Although…

Geophysics · Physics 2026-03-19 Guoxin Chen , Wenjie Wang , Haiyang Lu , Jinxin Chen

When building a geometric scene understanding system for autonomous vehicles, it is crucial to know when the system might fail. Most contemporary approaches cast the problem as depth regression, whose output is a depth value for each pixel.…

Computer Vision and Pattern Recognition · Computer Science 2019-12-16 Gengshan Yang , Peiyun Hu , Deva Ramanan

Deep learning has been wildly successful in practice and most state-of-the-art machine learning methods are based on neural networks. Lacking, however, is a rigorous mathematical theory that adequately explains the amazing performance of…

Machine Learning · Statistics 2023-10-03 Rahul Parhi , Robert D. Nowak

In this work, we propose Wasserstein distributionally robust shallow convex neural networks (WaDiRo-SCNNs) to provide reliable nonlinear predictions when subject to adverse and corrupted datasets. Our approach is based on the reformulation…

Machine Learning · Computer Science 2025-08-22 Julien Pallage , Antoine Lesage-Landry

The problem of the distributed recovery of jointly sparse signals has attracted much attention recently. Let us assume that the nodes of a network observe different sparse signals with common support; starting from linear, compressed…

Optimization and Control · Mathematics 2016-11-15 Sophie M. Fosson , Javier Matamoros , Carles Anton-Haro , Enrico Magli

The Deep Fourier Residual (DFR) method is a specific type of variational physics-informed neural networks (VPINNs). It provides a robust neural network-based solution to partial differential equations (PDEs). The DFR strategy is based on…

Numerical Analysis · Mathematics 2024-01-11 Jamie M. Taylor , Manuela Bastidas , Victor M. Calo , David Pardo

Neuromorphic hardware tends to pose limits on the connectivity of deep networks that one can run on them. But also generic hardware and software implementations of deep learning run more efficiently for sparse networks. Several methods…

Neural and Evolutionary Computing · Computer Science 2018-08-09 Guillaume Bellec , David Kappel , Wolfgang Maass , Robert Legenstein

Seismic impedance inversion is one of the most important part of geophysical exploration. However, due to random noise, the traditional semi-supervised learning (SSL) methods lack generalization and stability. To solve this problem, some…

Geophysics · Physics 2024-06-26 Yingtian Liu , Yong Li , Xingan Hao , Huating Li , Zhangquan Liao , Junheng Peng

This study takes advantage of recent advances in machine learning to establish a physics-based data analytic platform for distributed reconstruction of mechanical properties in layered components from full waveform data. In this vein, two…

Numerical Analysis · Mathematics 2023-10-20 Yang Xu , Fatemeh Pourahmadian , Jian Song , Conglin Wang

Thin layers and reservoirs may be concealed in areas of low seismic reflection amplitude, making them difficult to recognize. Deep learning (DL) techniques provide new opportunities for accurate impedance prediction by establishing a…

Geophysics · Physics 2024-08-12 Yingtian Liu , Yong Li , Junheng Peng , Huating Li , Mingwei Wang

This paper introduces a novel approach to solve inverse problems by leveraging deep learning techniques. The objective is to infer unknown parameters that govern a physical system based on observed data. We focus on scenarios where the…

Machine Learning · Computer Science 2023-10-02 Sidney Besnard , Frédéric Jurie , Jalal M. Fadili