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We study the asymptotic behaviour of the posterior distribution in a broad class of statistical models where the "true" solution occurs on the boundary of the parameter space. We show that in this case Bayesian inference is consistent, and…

Statistics Theory · Mathematics 2014-10-02 Natalia A. Bochkina , Peter J. Green

A phenomenological analysis of the experimental measurements of transverse momentum spectra of identified charged hadrons and strange hyperons in Pb-Pb and Xe-Xe collisions at the LHC is presented. The analysis is based on the relativistic…

High Energy Physics - Phenomenology · Physics 2023-12-21 L. Vermunt , Y. Seemann , A. Dubla , S. Floerchinger , E. Grossi , A. Kirchner , S. Masciocchi , I. Selyuzhenkov

Bayesian inference and uncertainty quantification in a general class of non-linear inverse regression models is considered. Analytic conditions on the regression model $\{\mathscr G(\theta): \theta \in \Theta\}$ and on Gaussian process…

Statistics Theory · Mathematics 2021-04-16 François Monard , Richard Nickl , Gabriel P. Paternain

Within path sampling framework, we show that probability distribution divergences, such as the Chernoff information, can be estimated via thermodynamic integration. The Boltzmann-Gibbs distribution pertaining to different Hamiltonians is…

Methodology · Statistics 2013-10-18 Silia Vitoratou , Ioannis Ntzoufras

The hot plasma in galaxy clusters is expected to be heated to high temperatures through shocks and adiabatic compression. The thermodynamical properties of the gas encode information on the processes leading to the thermalization of the gas…

Cosmology and Nongalactic Astrophysics · Physics 2019-01-09 V. Ghirardini , D. Eckert , S. Ettori , E. Pointecouteau , S. Molendi , M. Gaspari , M. Rossetti , S. De Grandi , M. Roncarelli , H. Bourdin , P. Mazzotta , E. Rasia , F. Vazza

Several different methods are regularly used to infer the properties of the neutral interstellar medium (ISM) using atomic hydrogen (H I) 21cm absorption and emission spectra. In this work, we study various techniques used for inferring ISM…

Astrophysics of Galaxies · Physics 2023-11-27 Soumyadeep Bhattacharjee , Nirupam Roy , Prateek Sharma , Amit Seta , Christoph Federrath

The thermo-electrical properties of a complex silicon cantilever structure used in thermal scanning probe lithography are modeled based on well established empirical laws for the thermal conductivity in silicon, the electrical conductivity…

Materials Science · Physics 2017-11-28 M. Spieser , C. Rawlings , E. Lörtscher , U. Duerig , A. W. Knoll

Identifying model Hamiltonians is a vital step toward creating predictive models of materials. Here, we combine Bayesian optimization with the EDRIXS numerical package to infer Hamiltonian parameters from resonant inelastic X-ray scattering…

Strongly Correlated Electrons · Physics 2025-10-30 Marton K. Lajer , Xin Dai , Kipton Barros , Matthew R. Carbone , S. Johnston , M. P. M. Dean

The nuclear reactions in a plasma system with energy distribution deviated from Maxwellian are proved to have some unique characteristics including those in their product energy spectrum. Based on this, a new nuclear diagnostic scheme for…

Plasma Physics · Physics 2022-11-21 K. Li , Z. Y. Liu , A. D. Liu , B. Qiao

We investigate the possibility of diagnosing the degree of departure from the Maxwellian distribution using single-ion spectra originating in astrophysical plasmas in collisional ionization equilibrium. New atomic data for excitation of Fe…

Solar and Stellar Astrophysics · Physics 2014-11-05 J. Dudík , G. Del Zanna , H. E. Mason , E. Dzifčáková

Due to their conjugate posteriors, Gaussian process priors are attractive for estimating the drift of stochastic differential equations with continuous time observations. However, their performance strongly depends on the choice of the…

Statistics Theory · Mathematics 2020-02-04 Jan van Waaij

This review presents an overview of the thermal properties of mesoscopic structures. The discussion is based on the concept of electron energy distribution, and, in particular, on controlling and probing it. The temperature of an electron…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Francesco Giazotto , Tero T. Heikkila , Arttu Luukanen , Alexander M. Savin , Jukka P. Pekola

Reactor grade plasmas are likely to be fuelled by pellet injection. This technique transiently perturbs the profiles, driving the density profile hollow and flattening the edge temperature profile. After the pellet perturbation, the density…

A multiphysics modeling approach for heat conduction in metal hydride powders is presented, including particle shape distribution, size distribution, granular packing structure, and effective thermal conductivity. A statistical geometric…

Soft Condensed Matter · Physics 2014-11-03 Kyle C. Smith , Timothy S. Fisher

A machine learning approach has been implemented to measure the electron temperature directly from the emission spectra of a tokamak plasma. This approach utilized a neural network (NN) trained on a dataset of 1865 time slices from…

Plasma Physics · Physics 2021-04-14 C. M. Samuell , A. G. Mclean , C. A. Johnson , F. Glass , A. E. Jaervinen

In this paper, we consider high-dimensional Gaussian graphical models where the true underlying graph is decomposable. A hierarchical $G$-Wishart prior is proposed to conduct a Bayesian inference for the precision matrix and its graph…

Statistics Theory · Mathematics 2021-02-18 Kyoungjae Lee , Xuan Cao

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

Essential to various practical applications of lithium-ion batteries is the availability of accurate equivalent circuit models. This paper presents a new coupled electro-thermal model for batteries and studies how to extract it from data.…

Systems and Control · Electrical Eng. & Systems 2024-08-21 Hao Tu , Xinfan Lin , Yebin Wang , Huazhen Fang

Thermal X-ray spectra of clusters of galaxies and other sources are commonly calculated assuming Maxwellian electron distributions. There are situations where this approximation is not valid, for instance near interfaces of hot and cold gas…

High Energy Astrophysical Phenomena · Physics 2015-05-13 J. S. Kaastra , A. M. Bykov , N. Werner