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Parameter retrieval and model inversion are key problems in remote sensing and Earth observation. Currently, different approximations exist: a direct, yet costly, inversion of radiative transfer models (RTMs); the statistical inversion with…

Signal Processing · Electrical Eng. & Systems 2021-04-22 Daniel Heestermans Svendsen , Pablo Morales-Alvarez , Ana Belen Ruescas , Rafael Molina , Gustau Camps-Valls

Low-cost mobile sensors can be used to collect PM$_{2.5}$ concentration data throughout an entire city. However, identifying air pollution hotspots from the data is challenging due to the uneven spatial sampling, temporal variations in the…

This work discusses a novel method for estimating the location of a gas source based on spatially distributed concentration measurements taken, e.g., by a mobile robot or flying platform that follows a predefined trajectory to collect…

Machine Learning · Computer Science 2024-05-08 Victor Scott Prieto Ruiz , Patrick Hinsen , Thomas Wiedemann , Constantin Christof , Dmitriy Shutin

Gaussian processes (GPs) are a class of Kernel methods that have shown to be very useful in geoscience and remote sensing applications for parameter retrieval, model inversion, and emulation. They are widely used because they are simple,…

Machine Learning · Computer Science 2020-05-21 J. Emmanuel Johnson , Valero Laparra , Gustau Camps-Valls

The Gaussian Process Convolution Model (GPCM; Tobar et al., 2015a) is a model for signals with complex spectral structure. A significant limitation of the GPCM is that it assumes a rapidly decaying spectrum: it can only model smooth…

Machine Learning · Statistics 2022-04-15 Wessel P. Bruinsma , Martin Tegnér , Richard E. Turner

Quantifying and reducing uncertainty in Earth system model parameterizations is essential to improving their reliability in decision-making. Forward uncertainty propagation is used to derive parameter sensitivity but requires physically…

Atmospheric and Oceanic Physics · Physics 2026-04-22 Ethan YoungIn Shin , Baris Kale , Michael F. Howland

Recent research has proven neural networks to be a powerful tool for performing hyperspectral imaging (HSI) target identification. However, many deep learning frameworks deliver a single material class prediction and operate on a per-pixel…

Machine Learning · Computer Science 2025-08-14 Joshua R. Tempelman , Kevin Mitchell , Adam J. Wachtor , Eric B. Flynn

We propose a numerical algorithm for solving the atmospheric dispersion problem with elevated point sources and ground-level deposition. The problem is modelled by the 3D advection-diffusion equation with delta-distribution source terms, as…

Numerical Analysis · Mathematics 2018-07-24 Bamdad Hosseini , John M. Stockie

Monitoring the atmospheric dispersion of pollutants is increasingly critical for environmental impact assessments. High-fidelity computational models are often employed to simulate plume dynamics, guiding decision-making and prioritizing…

Fluid Dynamics · Physics 2026-01-14 Ike Griss Salas , Megan R. Ebers , Jake Stevens-Haas , J. Nathan Kutz

Atmospheric motion vectors (AMVs) extracted from satellite imagery are the only wind observations with good global coverage. They are important features for feeding numerical weather prediction (NWP) models. Several Bayesian models have…

Methodology · Statistics 2023-10-26 Patrick Héas , Frédéric Cérou , Mathias Rousset

Parameters in climate models are usually calibrated manually, exploiting only small subsets of the available data. This precludes both optimal calibration and quantification of uncertainties. Traditional Bayesian calibration methods that…

Statistics Theory · Mathematics 2021-10-04 Oliver R. A. Dunbar , Alfredo Garbuno-Inigo , Tapio Schneider , Andrew M. Stuart

Probabilistic inversion methods based on Markov chain Monte Carlo (MCMC) simulation are well suited to quantify parameter and model uncertainty of nonlinear inverse problems. Yet, application of such methods to CPU-intensive forward models…

Geophysics · Physics 2017-01-11 M. Rosas-Carbajal , N. Linde , T. Kalscheuer , J. A. Vrugt

Earth observation from satellite sensory data poses challenging problems, where machine learning is currently a key player. In recent years, Gaussian Process (GP) regression has excelled in biophysical parameter estimation tasks from…

Air quality monitoring requires to produce accurate estimation of nitrogen dioxide or fine particulate matter concentration maps, at different moments. A typical strategy is to combine different types of data. On the one hand, concentration…

Applications · Statistics 2025-02-13 Benjamin Auder , Camille Coron , Jean-Michel Poggi , Emma Thulliez

In this paper, we investigate Gaussian process regression models where inputs are subject to measurement error. In spatial statistics, input measurement errors occur when the geographical locations of observed data are not known exactly.…

Methodology · Statistics 2015-06-30 Daniel Cervone , Natesh S. Pillai

Many problems arising in applications result in the need to probe a probability distribution for functions. Examples include Bayesian nonparametric statistics and conditioned diffusion processes. Standard MCMC algorithms typically become…

Computation · Statistics 2015-03-20 S. L. Cotter , G. O. Roberts , A. M. Stuart , D. White

In this work, we propose a novel methodology for robustly estimating particle size distributions from optical scattering measurements using constrained Gaussian process regression. The estimation of particle size distributions is commonly…

Machine Learning · Statistics 2025-07-08 Fahime Seyedheydari , Mahdi Nasiri , Marcin Mińkowski , Simo Särkkä

Inversion methodology has been used to obtain, from multi-layer soil probes records, a complete soil parametrisation, namely water retention curve, unsaturated conductivity curve and bulk density at 4 depths. The approach integrates water…

Geophysics · Physics 2018-05-18 Giuliano Vitali , Mirco Iotti , Alessandra Zambonelli

A common task is the determination of system parameters from spectroscopy, where one compares the experimental spectrum with calculated spectra, that depend on the desired parameters. Here we discuss an approach based on a machine learning…

Quantum Physics · Physics 2022-05-04 Farhad Taher-Ghahramani , Fulu Zheng , Alexander Eisfeld

Source apportionment analysis, which aims to quantify the attribution of observed concentrations of multiple air pollutants to specific sources, can be formulated as a non-negative matrix factorization (NMF) problem. However, NMF is…

Statistics Theory · Mathematics 2025-10-08 Bora Jin , Abhirup Datta