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Many properties of commonly used materials are driven by their microstructure, which can be influenced by the composition and manufacturing processes. To optimise future materials, understanding the microstructure is critically important.…

Full Waveform Inversion (FWI) is a highly nonlinear and ill-posed problem that aims to recover subsurface velocity maps from surface-recorded seismic waveforms data. Existing data-driven FWI typically uses small models, as available…

Machine Learning · Computer Science 2026-05-29 Yinan Feng , Peng Jin , Yuzhe Guo , Yinpeng Chen , Youzuo Lin

Bayesian inference promises to ground and improve the performance of deep neural networks. It promises to be robust to overfitting, to simplify the training procedure and the space of hyperparameters, and to provide a calibrated measure of…

Machine Learning · Computer Science 2019-08-12 Jonathan Heek , Nal Kalchbrenner

Spatially 3-dimensional seismic full waveform inversion (3D FWI) is a highly nonlinear and computationally demanding inverse problem that constructs 3D subsurface seismic velocity structures using seismic waveform data. To characterise…

Geophysics · Physics 2025-04-21 Xuebin Zhao , Andrew Curtis

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

We present a multi-sensor Bayesian passive microwave retrieval algorithm for flood inundation mapping at high spatial and temporal resolutions. The algorithm takes advantage of observations from multiple sensors in optical, short-infrared,…

Data Analysis, Statistics and Probability · Physics 2018-07-12 Zeinab Takbiri , Ardeshir M Ebtehaj , Efi Foufoula-Georgiou

We propose a general physics-based deep learning architecture for wave-based imaging problems. A key difficulty in imaging problems with a varying background wave speed is that the medium "bends" the waves differently depending on their…

Image and Video Processing · Electrical Eng. & Systems 2020-11-11 Konik Kothari , Maarten de Hoop , Ivan Dokmanić

Recently, guided waves-based techniques have garnered increased attention from researchers in the field of Structural Health Monitoring (SHM) for damage detection and quantification. Extracting features that are sensitive to changes in…

Signal Processing · Electrical Eng. & Systems 2024-10-08 Yiming Fan , Fotis Kopsaftopoulos

There has been a surge in the interest of using machine learning techniques to assist in the scientific process of formulating knowledge to explain observational data. We demonstrate the use of Bayesian Hidden Physics Models to first…

Machine Learning · Computer Science 2021-03-16 Steven Atkinson , Yiming Zhang , Liping Wang

In underwater acoustics, shallow water environments act as modal dispersive waveguides when considering low-frequency sources. In this context, propagating signals can be described as a sum of few modal components, each of them propagating…

Signal Processing · Electrical Eng. & Systems 2020-12-01 Clément Dorffer , Thomas Paviet-Salomon , Gilles Le Chenadec , Angélique Drémeau

In this paper, we develop a Bayesian multiscale approach based on a multiscale finite element method. Because of scale disparity in many multiscale applications, computational models can not resolve all scales. Various subgrid models are…

Numerical Analysis · Mathematics 2017-02-13 Y. Efendiev , W. T. Leung , S. W. Cheung , N. Guha , V. H. Hoang , B. Mallick

Deep linear networks have been extensively studied, as they provide simplified models of deep learning. However, little is known in the case of finite-width architectures with multiple outputs and convolutional layers. In this manuscript,…

Machine Learning · Statistics 2025-06-26 Federico Bassetti , Marco Gherardi , Alessandro Ingrosso , Mauro Pastore , Pietro Rotondo

Bayesian full waveform inversion (FWI) offers uncertainty-aware subsurface models; however, posterior sampling directly on observed seismic shot records is rarely practical at the field scale because each sample requires numerous…

Geophysics · Physics 2025-12-16 Mohammad H. Taufik , Tariq Alkhalifah

This paper introduces an infinite-dimensional Bayesian framework for acoustic seabed tomography, leveraging wave scattering to simultaneously estimate the seabed and its roughness. Tomography is considered an ill-posed problem where…

Applications · Statistics 2026-05-14 Babak Maboudi Afkham , Ana Carpio

Variational Autoencoders (VAEs) have gained significant popularity among researchers as a powerful tool for understanding unknown distributions based on limited samples. This popularity stems partly from their impressive performance and…

Machine Learning · Computer Science 2024-02-27 Saptarshi Chakraborty , Peter L. Bartlett

Scattering experiments can be leveraged to extract the effective properties of a heterogeneous metamaterial slab based on multi-point measurements in surrounding media. In this technique, two measurements are made in the ambient media on…

Applied Physics · Physics 2023-07-14 Joshua Morris , Alireza V. Amirkhizi

Quantitative structure-property relationships are crucial for the understanding and prediction of the physical properties of complex materials. For fluid flow in porous materials, characterizing the geometry of the pore microstructure…

Soft Condensed Matter · Physics 2020-09-21 Magnus Röding , Zheng Ma , Salvatore Torquato

Multiband fusion enhances WiFi sensing by jointly utilizing signals from multiple non-contiguous frequency bands. However, in the multi-band WiFi sensing signal model, there are many local optimums in the associated likelihood function due…

Signal Processing · Electrical Eng. & Systems 2023-10-10 Zhixiang Hu , An Liu , Yubo Wan , Tony Xiao Han , Minjian Zhao

First principles microphysics models are essential to the design and analysis of high energy density physics experiments. Using experimental data to investigate the underlying physics is also essential, particularly when simulations and…

Plasma Physics · Physics 2013-06-04 Jim A Gaffney , Dan Clark , Vijay Sonnad , Stephen B Libby

Inverse statistical physics aims at inferring models compatible with a set of empirical averages estimated from a high-dimensional dataset of independently distributed equilibrium configurations of a given system. However, in several…

Disordered Systems and Neural Networks · Physics 2021-02-12 Edwin Rodriguez Horta , Alejandro Lage , Martin Weigt , Pierre Barrat-Charlaix
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