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In many inverse problems, model parameters cannot be precisely determined from observational data. Bayesian inference provides a mechanism for capturing the resulting parameter uncertainty, but typically at a high computational cost. This…

Computation · Statistics 2019-03-28 Matthew Parno , Tarek Moselhy , Youssef Marzouk

A three-dimensional model of polydisperse reactive sedimentation is developed by means of a multilayer shallow water approach. The model consists of a variety of solid particles of different sizes and densities, and substrates diluted in…

Numerical Analysis · Mathematics 2024-03-13 Julio Careaga , Víctor Osores

Accurate modeling of contamination in subsurface flow and water aquifers is crucial for agriculture and environmental protection. Here, we demonstrate a parallel method to quantify the propagation of the uncertainty in the dispersal of…

Numerical Analysis · Mathematics 2019-05-07 Alexander Litvinenko , Dmitry Logashenko , Raul Tempone , Gabriel Wittum , David Keyes

Accurate modelling of aircraft fuel-flow is crucial for both operational planning and environmental impact assessment, yet standard parametric models often neglect performance deterioration that occurs as aircraft age. This paper…

Machine Learning · Computer Science 2025-09-22 Gabriel Jarry , Ramon Dalmau , Philippe Very , Junzi Sun

We propose a Bayesian model for mixed ordinal and continuous multivariate data to evaluate a latent spatial Gaussian process. Our proposed model can be used in many contexts where mixed continuous and discrete multivariate responses are…

Methodology · Statistics 2013-05-22 Erin M. Schliep , Jennifer A. Hoeting

In this paper, we consider the inverse problem of determining the permeability of the subsurface from hydraulic head measurements, within the framework of a steady Darcy model of groundwater flow. We study geometrically defined prior…

Statistics Theory · Mathematics 2015-06-18 Marco A. Iglesias , Kui Lin , Andrew M. Stuart

State estimation in multi-layer turbulent flow fields with only a single layer of partial observation remains a challenging yet practically important task. Applications include inferring the state of the deep ocean by exploiting surface…

Fluid Dynamics · Physics 2025-09-30 Zhongrui Wang , Nan Chen , Di Qi

Groundwater flow modeling is commonly used to calculate groundwater heads, estimate groundwater flow paths and travel times, and provide insights into solute transport processes within an aquifer. However, the values of input parameters…

Computational Engineering, Finance, and Science · Computer Science 2023-03-15 Emily A. Baker , Sauro Manenti , Alessandro Reali , Giancarlo Sangalli , Lorenzo Tamellini , Sara Todeschini

Regional data analysis is concerned with the analysis and modeling of measurements that are spatially separated by specifically accounting for typical features of such data. Namely, measurements in close proximity tend to be more similar…

Methodology · Statistics 2023-08-15 Christoph Muehlmann , François Bachoc , Klaus Nordhausen

There has been a recent surge in development of accurate machine learning (ML) weather prediction models, but evaluation of these models has mainly been focused on medium-range forecasts, not their performance in cycling data assimilation…

Atmospheric and Oceanic Physics · Physics 2024-12-25 Laura C. Slivinski , Jeffrey S. Whitaker , Sergey Frolov , Timothy A. Smith , Niraj Agarwal

Lagrangian data assimilation exploits the trajectories of moving tracers as observations to recover the underlying flow field. One major challenge in Lagrangian data assimilation is the intrinsic nonlinearity that impedes using exact…

Dynamical Systems · Mathematics 2023-06-14 Nan Chen , Shubin Fu

We present a thermodynamically consistent phase-field model for simulating fluid transport across semi-permeable membranes, with a particular focus on osmotic pressure effects. The model extends the classical Navier-Stokes-Cahn-Hilliard…

Fluid Dynamics · Physics 2025-06-16 Ruihan Guo , Jie Shen , Shixin Xu , Xianmin Xu

Fluvial floods drive severe risk to riverine communities. There is a strong evidence of increasing flood hazards in many regions around the world. The choice of methods and assumptions used in flood hazard estimates can impact the design of…

Recent advances in time series research facilitate the development of foundation models. While many state-of-the-art time series foundation models have been introduced, few studies examine their effectiveness in specific downstream…

Machine Learning · Computer Science 2025-12-01 Junyang He , Judy Fox , Alireza Jafari , Ying-Jung Chen , Geoffrey Fox

We propose TerraFlow, a novel approach to multimodal, multitemporal learning for Earth observation. TerraFlow builds on temporal training objectives that enable sequence-aware learning across space, time, and modality, while remaining…

Computer Vision and Pattern Recognition · Computer Science 2026-03-16 Nazar Puriy , Johannes Jakubik , Benedikt Blumenstiel , Konrad Schindler

For hydrological applications, such as urban flood modelling, it is often important to be able to simulate sub-daily rainfall time series from stochastic models. However, modelling rainfall at this resolution poses several challenges,…

Applications · Statistics 2020-07-14 Oliver Stoner , Theo Economou

Malaria remains a major public health concern in Ethiopia, particularly in the Amhara Region, where seasonal and unpredictable transmission patterns make prevention and control challenging. Accurately forecasting malaria outbreaks is…

Other Quantitative Biology · Quantitative Biology 2025-10-03 Kassahun Azezew , Amsalu Tesema , Bitew Mekuria , Ayenew Kassie , Animut Embiale , Ayodeji Olalekan Salau , Tsega Asresa

The prediction of streamflows and other environmental variables in unmonitored basins is a grand challenge in hydrology. Recent machine learning (ML) models can harness vast datasets for accurate predictions at large spatial scales.…

Machine Learning · Computer Science 2024-10-29 Jared D. Willard , Fabio Ciulla , Helen Weierbach , Vipin Kumar , Charuleka Varadharajan

As in many fields of dynamic modeling, the long runtime of hydrological models hinders Bayesian inference of model parameters from data. By replacing a model with an approximation of its output as a function of input and/or parameters,…

Methodology · Statistics 2019-10-09 David Machac , Peter Reichert , Jörg Rieckermann , Dario Del Giudice , Carlo Albert

The spatial variation of physical quantities, such as the mass density, across solar atmospheric waveguides governs the timescales and spatial scales for wave damping and energy dissipation. The direct measurement of the spatial…

Solar and Stellar Astrophysics · Physics 2015-10-07 I. Arregui , R. Soler , A. Asensio Ramos
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