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Radio maps (RMs) are essential for environment-aware communication and sensing, providing location-specific wireless channel information. Existing RM construction methods often rely on precise environmental data and base station (BS)…

Artificial Intelligence · Computer Science 2025-05-22 Xiucheng Wang , Zhongsheng Fang , Nan Cheng , Ruijin Sun , Zan Li , Xuemin , Shen

Bayesian approaches are one of the primary methodologies to tackle an inverse problem in high dimensions. Such an inverse problem arises in hydrology to infer the permeability field given flow data in a porous media. It is common practice…

Methodology · Statistics 2023-10-02 Navid Shervani-Tabar

This study presents the first comprehensive evaluation of spatial generalization techniques, which are essential for the practical deployment of deep learning-based radio-frequency (RF) sensing. Focusing on people counting in indoor…

Computer Vision and Pattern Recognition · Computer Science 2025-12-16 Tomoya Tanaka , Tomonori Ikeda , Ryo Yonemoto

The quantitative reconstruction of sub-surface Earth properties from the propagation of waves follows an iterative minimization of a misfit functional. In marine seismic exploration, the observed data usually consist of measurements of the…

Mapping white matter tracts is an essential step towards understanding brain function. Diffusion Magnetic Resonance Imaging (dMRI) is the only noninvasive technique which can detect in vivo anisotropies in the 3-dimensional diffusion of…

Computation · Statistics 2014-03-21 Dario Gasbarra , Jia Liu , Juha Railavo

Nonlinear least squares data-fitting driven by physical process simulation is a classic and widely successful technique for the solution of inverse problems in science and engineering. Known as "Full Waveform Inversion" in application to…

Optimization and Control · Mathematics 2020-10-28 William W. Symes

This paper presents an improved implicit sampling method for hierarchical Bayesian inverse problems. A widely used approach for sampling posterior distribution is based on Markov chain Monte Carlo (MCMC). However, the samples generated by…

Numerical Analysis · Mathematics 2018-11-27 Xiaoyan Song , Lijian Jiang , Guanghui Zheng

Full waveform inversion (FWI) is able to construct high-resolution subsurface models by iteratively minimizing discrepancies between observed and simulated seismic data. However, its implementation can be rather involved for complex wave…

Machine Learning · Computer Science 2025-06-24 Feng Liu , Haipeng Li , Guangyuan Zou , Junlun Li

An evolutionary form of a generalized Bayesian update method, which is strictly derivative- free yet directed through an additive update term based purely on the statistical moments of the design variables, is proposed for nonlinear inverse…

Methodology · Statistics 2013-12-17 M Venugopal , D Roy , R M Vasu

In recent years, Full-Waveform Inversion (FWI) has been extensively used to derive high-resolution subsurface velocity models from seismic data. However, due to the nonlinearity and ill-posed nature of the problem, FWI requires a good…

Full waveform inversion (FWI) delivers high-resolution images of the subsurface by minimizing iteratively the misfit between the recorded and calculated seismic data. It has been attacked successfully with the Gauss-Newton method and…

Geophysics · Physics 2016-11-07 Lingchen Zhu , Entao Liu , James H. McClellan

This work presents a novel and effective method for fitting multidimensional ellipsoids to scattered data in the contamination of noise and outliers. We approach the problem as a Bayesian parameter estimate process and maximize the…

Methodology · Statistics 2024-07-30 Zhao Mingyang , Jia Xiaohong , Ma Lei , Shi Yuke , Jiang Jingen , Li Qizhai , Yan Dong-Ming , Huang Tiejun

In recent years, uncertainty-aware full waveform inversion (FWI) has received increasing attention, with a growing emphasis on producing informative uncertainty estimates alongside inversion results. Bayesian inference methods--particularly…

Geophysics · Physics 2025-05-14 Yunduo Li , Yijie Zhang , Xueyu Zhu , Jinghuai Gao

In seismic waveform inversion, the reconstruction of the subsurface properties is usually carried out using approximative wave propagation models to ensure computational efficiency. The viscoelastic nature of the subsurface is often…

Geophysics · Physics 2020-08-26 Kenneth Muhumuza , Lassi Roininen , Janne M. J. Huttunen , Timo Lähivaara

In this paper, we introduce a novel, data-driven approach for solving high-dimensional Bayesian inverse problems based on partial differential equations (PDEs), called Weak Neural Variational Inference (WNVI). The method complements real…

Machine Learning · Statistics 2024-07-31 Vincent C. Scholz , Yaohua Zang , Phaedon-Stelios Koutsourelakis

Full-waveform inversion (FWI) is a technique having the potential for building high-resolution elastic velocity models. We proposed to apply this technique to wireline monopole acoustic logging data to obtain the near wellbore formation…

Applied Physics · Physics 2020-05-04 Huaigu Tang , Arthur Chuen Hon Cheng , Elita Yunyue Li , Xinding Fang

We describe a novel framework for estimating subsurface properties, such as rock permeability and porosity, from time-lapse observed seismic data by coupling full-waveform inversion, subsurface flow processes, and rock physics models. For…

Geophysics · Physics 2020-05-06 Dongzhuo Li , Kailai Xu , Jerry M. Harris , Eric Darve

Full Waveform Inversion (FWI) is a widely used method in seismic data processing, capable of estimating models that represent the characteristics of the geological layers of the subsurface. Because it works with a massive amount of data,…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-22 Felipe H. S. da Silva , João B. Fernandes , Idalmis M. Sardina , Tiago Barros , Samuel Xavier-de-Souza , Italo A. S. Assis

Inverse problems, which involve estimating parameters from incomplete or noisy observations, arise in various fields such as medical imaging, geophysics, and signal processing. These problems are often ill-posed, requiring regularization…

Image and Video Processing · Electrical Eng. & Systems 2026-03-03 Shadab Ahamed , Eldad Haber

Full Waveform Inversion (FWI) is a powerful wave-based imaging technique, but its inherent ill-posedness and non-convexity lead to local minima and poor convergence. Regularization methods stabilize FWI by incorporating prior information…

Geophysics · Physics 2025-10-28 Kamal Aghazade , Ali Gholami