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We propose a Bayesian hierarchical model which produces probabilistic reconstructions of hydroclimatic variability in Queensland Australia. The model provides a standardised approach to hydroclimate reconstruction using multiple…

Urbanization of an area is known to increase the temperature of the surrounding area. This phenomenon -- a so-called urban heat island (UHI) -- occurs at a local level over a period of time and has lasting impacts for historical data…

Methodology · Statistics 2021-07-30 Candace Berrett , Brianne Gurney , David Arthur , Todd Moon , Gus P. Williams

Holocene (the last 12,000 years) temperature variation, including the transition out of the last Ice Age to a warmer climate, is reconstructed at multiple locations in southern Finland, Sweden and Estonia based on pollen fossil data from…

Applications · Statistics 2015-11-06 Lasse Holmström , Liisa Ilvonen , Heikki Seppä , Siim Veski

Fossil-based palaeoclimate reconstruction is an important area of ecological science that has gained momentum in the backdrop of the global climate change debate. The hierarchical Bayesian paradigm provides an interesting platform for…

Applications · Statistics 2013-12-13 Sabyasachi Mukhopadhyay , Sourabh Bhattacharya

The paper discusses the reconstruction of potentials for quantum systems at finite temperatures from observational data. A nonparametric approach is developed, based on the framework of Bayesian statistics, to solve such inverse problems.…

Quantum Physics · Physics 2009-11-06 J. C. Lemm , J. Uhlig , A. Weiguny

Phase diagrams serve as a highly informative tool for materials design, encapsulating information about the phases that a material can manifest under specific conditions. In this work, we develop a method in which Bayesian inference is…

Materials Science · Physics 2023-09-06 Timofei Miryashkin , Olga Klimanova , Vladimir Ladygin , Alexander Shapeev

Continental-scale knowledge of subsurface temperature is limited by the cost and sparsity of borehole measurements, but such information is essential for geothermal resource assessment and for understanding heat transport in the shallow…

Closed-loop shallow geothermal systems are one of the key technologies for decarbonizing the residential heating and cooling sector. The primary type of these systems involves vertical borehole heat exchangers (BHEs). During the planning…

Optimization and Control · Mathematics 2026-03-27 Oliver Heinzel , Smajil Halilovic , Thomas Hamacher , Michael Ulbrich

The assessment of the thermal properties of walls is essential for accurate building energy simulations that are needed to make effective energy-saving policies. These properties are usually investigated through in-situ measurements of…

Applications · Statistics 2017-09-21 Marco Iglesias , Zaid Sawlan , Marco Scavino , Raul Tempone , Christopher Wood

Modeling buildings' heat dynamics is a complex process which depends on various factors including weather, building thermal capacity, insulation preservation, and residents' behavior. Gray-box models offer a causal inference of those…

Machine Learning · Computer Science 2019-02-20 Nilavra Pathak , James Foulds , Nirmalya Roy , Nilanjan Banerjee , Ryan Robucci

In this work we develop a Bayesian setting to infer unknown parameters in initial-boundary value problems related to linear parabolic partial differential equations. We realistically assume that the boundary data are noisy, for a given…

Methodology · Statistics 2017-09-13 Fabrizio Ruggeri , Zaid Sawlan , Marco Scavino , Raul Tempone

Accurate lake temperature estimation is essential for numerous problems tackled in both hydrological and ecological domains. Nowadays physical models are developed to estimate lake dynamics; however, computations needed for accurate…

Machine Learning · Computer Science 2021-09-29 Michael Stalder , Firat Ozdemir , Artur Safin , Jonas Sukys , Damien Bouffard , Fernando Perez-Cruz

Any experiment with climate models relies on a potentially large set of spatio-temporal boundary conditions. These can represent both the initial state of the system and/or forcings driving the model output throughout the experiment. Whilst…

Applications · Statistics 2023-12-22 Lachlan Astfalck , Daniel Williamson , Niall Gandy , Lauren Gregoire , Ruza Ivanovic

In this paper, we extend and analyze a Bayesian hierarchical spatio-temporal model for physical systems. A novelty is to model the discrepancy between the output of a computer simulator for a physical process and the actual process values…

Great strides have been made in the field of reconstructing past temperatures based on models relating temperature to temperature-sensitive paleoclimate proxies. One of the goals of such reconstructions is to assess if current climate is…

Methodology · Statistics 2015-02-09 Lucas Janson , Bala Rajaratnam

We produce new reconstructions of Northern Hemisphere annually averaged temperature anomalies back to 1000 AD, and explore the effects of including external climate forcings within the reconstruction and of accounting for short-memory and…

Applications · Statistics 2015-03-05 Luis Barboza , Bo Li , Martin P. Tingley , Frederi G. Viens

Accurate free-energy calculations are essential for predicting thermodynamic properties and phase stability, but existing methods are limited: phonon-based approaches neglect anharmonicity and liquids, while molecular dynamics (MD) is…

Materials Science · Physics 2025-11-19 Ekaterina Spirande , Timofei Miryashkin , Andrei Kolmakov , Alexander Shapeev

We propose a method to merge several paleoclimate time series into one that exhibits a consensus on the features of the individual times series. The paleoclimate time series can be noisy, nonuniformly sampled and the dates at which the…

Applications · Statistics 2013-01-09 Panu Erästö , Lasse Holmström , Atte Korhola , Jan Weckström

We describe a method for reconstructing spatially explicit maps of seasonal palaeoclimate variables from site-based reconstructions. Using a 3D-Variational technique, the method finds the best statistically unbiased, and spatially…

Numerical Analysis · Mathematics 2020-03-10 S. F. Cleator , S. P. Harrison , N. K. Nichols , I. C. Prentice , I. Roulstone

We introduce a computational framework to statistically infer thermophysical properties of any given wall from in-situ measurements of air temperature and surface heat fluxes. The proposed framework uses these measurements, within a…

Applications · Statistics 2018-08-16 Lia De Simon , Marco Iglesias , Benjamin Jones , Christopher Wood
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