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Recently, generative diffusion priors have made huge strides as inverse problem solvers, including the ability to be adapted for inference on out-of-distribution data. Concurrently, implicit neural representations (INRs) have emerged as…

Image and Video Processing · Electrical Eng. & Systems 2026-03-12 Maliha Hossain , Haley Duba-Sullivan , Amirkoushyar Ziabari

Crystal property prediction, governed by quantum mechanical principles, is computationally prohibitive to solve exactly for large many-body systems using traditional density functional theory. While machine learning models have emerged as…

Materials Science · Physics 2026-01-28 Bin Cao , Yang Liu , Longhan Zhang , Yifan Wu , Zhixun Li , Yuyu Luo , Hong Cheng , Yang Ren , Tong-Yi Zhang

We use borehole resistivity measurements to map the electrical properties of the subsurface and to increase the productivity of a reservoir. When used for geosteering purposes, it becomes essential to invert them in real time. In this work,…

Machine Learning · Computer Science 2019-01-10 M. Shahriari , D. Pardo , A. Picón , A. Galdrán , J. Del Ser , C. Torres-Verdín

Dynamic discrete choice models are widely employed to answer substantive and policy questions in settings where individuals' current choices have future implications. However, estimation of these models is often computationally intensive…

Methodology · Statistics 2025-04-11 Ebrahim Barzegary , Hema Yoganarasimhan

Inverse problems are ubiquitous in nature, arising in almost all areas of science and engineering ranging from geophysics and climate science to astrophysics and biomechanics. One of the central challenges in solving inverse problems is…

Machine Learning · Statistics 2022-09-21 Dhruv V Patel , Deep Ray , Assad A Oberai

Deep neural networks have exhibited remarkable performance in image super-resolution (SR) tasks by learning a mapping from low-resolution (LR) images to high-resolution (HR) images. However, the SR problem is typically an ill-posed problem…

Computer Vision and Pattern Recognition · Computer Science 2024-05-29 Yong Guo , Mingkui Tan , Zeshuai Deng , Jingdong Wang , Qi Chen , Jiezhang Cao , Yanwu Xu , Jian Chen

Probabilistic regression techniques in control and robotics applications have to fulfill different criteria of data-driven adaptability, computational efficiency, scalability to high dimensions, and the capacity to deal with different…

Machine Learning · Computer Science 2021-03-31 Hany Abdulsamad , Peter Nickl , Pascal Klink , Jan Peters

Advancements in modern science have led to the increasing availability of non-Euclidean data in metric spaces. This paper addresses the challenge of modeling relationships between non-Euclidean responses and multivariate Euclidean…

Methodology · Statistics 2025-05-13 Su I Iao , Yidong Zhou , Hans-Georg Müller

Deep Learning (DL), in particular deep neural networks (DNN), by default is purely data-driven and in general does not require physics. This is the strength of DL but also one of its key limitations when applied to science and engineering…

Machine Learning · Statistics 2022-09-26 Hai V. Nguyen , Tan Bui-Thanh

Full Waveform Inversion (FWI) reconstructs high-resolution subsurface models via multi-variate optimization but faces challenges with solver selection and data availability. Deep Learning (DL) offers a promising alternative, bridging…

Geophysics · Physics 2025-02-27 Christopher Zerafa

A general control policy framework based on deep reinforcement learning (DRL) is introduced for closed-loop decision making in subsurface flow settings. Traditional closed-loop modeling workflows in this context involve the repeated…

Computational Physics · Physics 2023-02-15 Yusuf Nasir , Louis J. Durlofsky

Electromagnetic induction methods are a common means for geophysical survey. For soil structures that are invariant in one spatial dimension such as trench structures, we propose a fast forward model based on a 2D response function, taking…

Geophysics · Physics 2018-05-17 Hans Dierckx , Katrien De Blauwe , Marc Van Meirvenne , Henri Verschelde

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

Basement relief gravimetry is crucial in geophysics, especially for oil exploration and mineral prospecting. It involves solving an inverse problem to infer geological model parameters from observed data. The model represents basement…

Extracting subsurface velocity information from seismic data is mainly an undetermined problem that requires injecting a priori information to constrain the inversion process. Machine learning has offered a platform to do so through the…

Geophysics · Physics 2025-10-03 Xiao Ma , Shaowen Wang , Tariq Alkhalifah

It is now practically the norm for data to be very high dimensional in areas such as genetics, machine vision, image analysis and many others. When analyzing such data, parametric models are often too inflexible while nonparametric…

Methodology · Statistics 2011-05-31 Abhishek Bhattacharya , Garritt Page , David Dunson

Deep neural networks provide flexible frameworks for learning data representations and functions relating data to other properties and are often claimed to achieve 'super-human' performance in inferring relationships between input data and…

Materials Science · Physics 2021-05-26 Keith T. Butler , Manh Duc Le , Jeyarajan Thiyagalingam , Toby G. Perring

Subsurface applications including geothermal, geological carbon sequestration, oil and gas, etc., typically involve maximizing either the extraction of energy or the storage of fluids. Characterizing the subsurface is extremely complex due…

Computational Engineering, Finance, and Science · Computer Science 2018-06-07 M. K. Mudunuru , S. Karra , N. Makedonska , T. Chen

4D time-space reconstruction of dynamic events or deforming objects using X-ray computed tomography (CT) is an important inverse problem in non-destructive evaluation. Conventional back-projection based reconstruction methods assume that…

Image and Video Processing · Electrical Eng. & Systems 2025-02-27 K. Aditya Mohan , Massimiliano Ferrucci , Chuck Divin , Garrett A. Stevenson , Hyojin Kim

In this paper, we propose a novel deep convolutional neural network (CNN)-based algorithm for solving ill-posed inverse problems. Regularized iterative algorithms have emerged as the standard approach to ill-posed inverse problems in the…

Computer Vision and Pattern Recognition · Computer Science 2018-09-11 Kyong Hwan Jin , Michael T. McCann , Emmanuel Froustey , Michael Unser
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