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In this work, we propose a Bayesian thinning algorithm for recovering weighted point source functions in the heat equation from boundary flux observations. The major challenge in the classical Bayesian framework lies in constructing…

Computation · Statistics 2025-09-19 Zhiliang Deng , Chen Li , Xiaomei Yang

Hamiltonian Monte Carlo (HMC) is a powerful and accurate method to sample from the posterior distribution in Bayesian inference. However, HMC techniques are computationally demanding for Bayesian neural networks due to the high…

Machine Learning · Statistics 2025-09-11 Ponkrshnan Thiagarajan , Tamer A. Zaki , Michael D. Shields

Determining the adsorption isotherms is an issue of significant importance in preparative chromatography. A modern technique for estimating adsorption isotherms is to solve an inverse problem so that the simulated batch separation coincides…

Applications · Statistics 2022-11-24 Jiaji Su , Zhigang Yao , Cheng Li , Ye Zhang

Undirected graphical models are widely used in statistics, physics and machine vision. However Bayesian parameter estimation for undirected models is extremely challenging, since evaluation of the posterior typically involves the…

Computation · Statistics 2012-03-19 Richard G. Everitt

We consider a method for approximate inference in hidden Markov models (HMMs). The method circumvents the need to evaluate conditional densities of observations given the hidden states. It may be considered an instance of Approximate…

Computation · Statistics 2012-06-25 James S. Martin , Ajay Jasra , Sumeetpal S. Singh , Nick Whiteley , Emma McCoy

This paper considers one-dimensional heat transfer in a media with temperature-dependent thermal conductivity. To model the transient behavior of the system, we solve numerically the one-dimensional unsteady heat conduction equation with…

Numerical Analysis · Mathematics 2018-11-16 Stefan M Filipov , István Faragó

Thermoelectric properties of Half Heusler alloys are predicted by adopting an ensemble modelling approach, specifically the stacking model integrated using Random Forest and XGBoost scheme. Leveraging a diverse dataset encompassing thermal…

Materials Science · Physics 2024-08-02 Vipin K. E , Prahallad Padhan

In this paper, we describe ongoing work to investigate the properties of the heat spreader, and its implication on architecture research. In specific, we conduct two experiments to quantify the heat distribution across the surface of a…

Other Computer Science · Computer Science 2014-02-28 Seema Sethia , Shouri Chatterjee , Sunil Kale , Amit Gupta , Smruti R. Sarangi

Ultrasonic guided waves offer a convenient and practical approach to structural health monitoring and non-destructive evaluation. A key property of guided waves is the fully-defined relationship between central frequency and propagation…

Predicting and interpreting thermal performance under oscillating flow in porous structures remains a critical challenge due to the complex coupling between fluid dynamics and geometric features. This study introduces a data-driven…

Fluid Dynamics · Physics 2025-09-16 Lichang Zhu , Laura Schaefer , Leitao Chen , Ben Xu

The problem of locating an odor source in turbulent flows is central to key applications such as environmental monitoring and disaster response. We address this challenge by designing an algorithm based on Bayesian inference, which uses…

Fluid Dynamics · Physics 2025-04-11 Lorenzo Piro , Robin A. Heinonen , Massimo Cencini , Luca Biferale

We present a method, based on Bayesian statistics, to fit the dust emission parameters in the far-infrared and submillimeter wavelengths. The method estimates the dust temperature and spectral emissivity index, plus their relationship,…

Astrophysics of Galaxies · Physics 2015-06-15 M. Veneziani , F. Piacentini , A. Noriega-Crespo , S. Carey , R. Paladini , D. Paradis

Quantum heat transfer through a generic superconducting set-up consisting of a tunable transmon qubit placed between resonators that are termined by thermal reservoirs is explored. Two types of architectures are considered, a sequential and…

Quantum Physics · Physics 2021-03-24 Meng Xu , J. T. Stockburger , J. Ankerhold

Bayesian methods are critical for quantifying the behaviors of systems. They capture our uncertainty about a system's behavior using probability distributions and update this understanding as new information becomes available. Probabilistic…

Computation · Statistics 2018-04-25 Thomas A. Catanach , James L. Beck

The prediction of crack initiation and propagation in ductile failure processes are challenging tasks for the design and fabrication of metallic materials and structures on a large scale. Numerical aspects of ductile failure dictate a…

Numerical Analysis · Mathematics 2021-04-23 Nima Noii , Amirreza Khodadadian , Jacinto Ulloa , Fadi Aldakheel , Thomas Wick , Stijn Francois , Peter Wriggers

Hamiltonian Monte Carlo (HMC) has become routinely used for sampling from posterior distributions. Its extension Riemann manifold HMC (RMHMC) modifies the proposal kernel through distortion of local distances by a Riemannian metric. The…

Computation · Statistics 2017-02-21 Akihiko Nishimura , David Dunson

Understanding heat transport in low-dimensional and nano-architectured materials remains a central challenge in nonequilibrium statistical physics due to persistent deviations from Fourier's law. These deviations are driven by…

Mesoscale and Nanoscale Physics · Physics 2026-05-15 R. A. C. Correa , K. N. M. Sharma , P. Lolur , J. van Velzen

This work introduces a novel Lagrangian-based framework to analyze forced convective heat transfer in the unsteady wake of a heated elliptical cylinder inclined at angles ranging from $\theta = 0^\circ$ to $90^\circ$, in $15^\circ$…

Fluid Dynamics · Physics 2025-08-18 Pratham Singh , Raghav Singhal , Jiten C. Kalita

We propose a hybrid generative model for efficient sampling of high-dimensional, multimodal probability distributions for Bayesian inference. Traditional Monte Carlo methods, such as the Metropolis-Hastings and Langevin Monte Carlo sampling…

Machine Learning · Statistics 2025-05-14 Hoang Tran , Zezhong Zhang , Feng Bao , Dan Lu , Guannan Zhang

As a paradigm for heat conduction in 1 dimension, we propose a class of models represented by chains of identical cells, each one of which containing an energy storage device called a "tank". Energy exchange among tanks is mediated by…

Chaotic Dynamics · Physics 2009-11-11 Jean-Pierre Eckmann , Lai-Sang Young