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This paper presents a two-step Bayesian framework for the estimation of the intrinsic single crystal elastic stiffness parameters from the measurements of spherical indentation stress-strain responses in multiple individual grains of a…

Computational Physics · Physics 2019-05-07 Andrew Castillo , Surya R. Kalidindi

The focus in this paper is Bayesian system identification based on noisy incomplete modal data where we can impose spatially-sparse stiffness changes when updating a structural model. To this end, based on a similar hierarchical sparse…

Applications · Statistics 2017-02-07 Yong Huang , James L. Beck , Hui Li

We revisit the problem of model-based object recognition for intensity images and attempt to address some of the shortcomings of existing Bayesian methods, such as unsuitable priors and the treatment of residuals with a non-robust error…

Computer Vision and Pattern Recognition · Computer Science 2010-12-14 Vasileios Zografos , Bernard Buxton

Interferometric scattering microscopy (iSCAT) can image the dynamics of nanometer-scale systems. The typical approach to analyzing interferometric images involves intensive processing, which discards data and limits the precision of…

The ability to probe a materials electromechanical functionality on the nanoscale is critical to applications from energy storage and computing to biology and medicine. Voltage modulated atomic force microscopy (VM-AFM) has become a…

Mesoscale and Nanoscale Physics · Physics 2019-04-16 Liam Collins , Yongtao Liu , Olga Ovchinnikova , Roger Proksch

This report introduces general ideas and some basic methods of the Bayesian probability theory applied to physics measurements. Our aim is to make the reader familiar, through examples rather than rigorous formalism, with concepts such as:…

Data Analysis, Statistics and Probability · Physics 2009-11-10 G. D'Agostini

Bayesian model mixing (BMM) is a statistical technique that can combine constraints from different regions of an input space in a principled way. Here we extend our BMM framework for the equation of state (EOS) of strongly interacting…

Nuclear Theory · Physics 2025-05-27 A. C. Semposki , C. Drischler , R. J. Furnstahl , D. R. Phillips

Direct experimental characterization of indentation-induced martensitic microstructures in pseudoelastic shape memory alloys (SMAs) is not possible, and thus there is a lack of evidence and understanding regarding the microstructure pattern…

Computational Physics · Physics 2023-04-26 Mohsen Rezaee-Hajidehi , Karel Tůma , Stanisław Stupkiewicz

Adherent biological cells generate traction forces on a substrate that play a central role for migration, mechanosensing, differentiation, and collective behavior. The established method for quantifying this cell-substrate interaction is…

Cell Behavior · Quantitative Biology 2020-05-05 Yunfei Huang , Gerhard Gompper , Benedikt Sabass

The macroscopic properties of materials that we observe and exploit in engineering application result from complex interactions between physics at multiple length and time scales: electronic, atomistic, defects, domains etc. Multiscale…

We present simple expressions for load required to indent a layer of arbitrary thickness with a conical, paraboloidal or cylindrical punch. A rigid substrate underneath the sample leads to an increase of load required for indentation. This…

Classical Physics · Physics 2021-01-18 Paweł Hermanowicz

We propose a Bayesian inference framework to estimate uncertainties in inverse scattering problems. Given the observed data, the forward model and their uncertainties, we find the posterior distribution over a finite parameter field…

Numerical Analysis · Mathematics 2020-11-17 Ana Carpio , Sergei Iakunin , Georg Stadler

Advanced geometrical nanometrology is critical for process control in semiconductor manufacturing, supporting applications in, e.g., photonic integrated circuits, nanoelectronics, and emerging quantum and optoelectronic technologies.…

M\"ossbauer spectroscopy, which provides knowledge related to electronic states in materials, has been applied to various fields such as condensed matter physics and material sciences. In conventional spectral analyses based on least-square…

Computational Physics · Physics 2022-05-20 Ryota Moriguchi , Satoshi Tsutsui , Shun Katakami , Kenji Nagata , Masaichiro Mizumaki , Masato Okada

Bayesian inference promises to ground and improve the performance of deep neural networks. It promises to be robust to overfitting, to simplify the training procedure and the space of hyperparameters, and to provide a calibrated measure of…

Machine Learning · Computer Science 2019-08-12 Jonathan Heek , Nal Kalchbrenner

A novel approach of accurately reconstructing storage ring's linear optics from turn-by-turn (TbT) data containing measurement error is introduced. This approach adopts a Bayesian inference based on the Markov Chain Monte-Carlo (MCMC)…

Accelerator Physics · Physics 2019-07-01 Yue Hao , Yongjun Li , Michael Balcewicz , Leo Neufcourt , Weixing Cheng

Accelerating the discovery of mechanical properties in combinatorial materials requires autonomous experimentation that accounts for both instrument behavior and experimental cost. Here, an automated nanoindentation (AE-NI) framework is…

Materials Science · Physics 2025-11-24 Vivek Chawla , Stephen Puplampu , Haochen Zhu , Philip D. Rack , Dayakar Penumadu , Sergei Kalinin

We demonstrate and explicate Bayesian methods for fitting the parameters that encode the impact of short-distance physics on observables in effective field theories (EFTs). We use Bayes' theorem together with the principle of maximum…

High Energy Physics - Phenomenology · Physics 2009-08-14 Matthias R. Schindler , Daniel R. Phillips

Beyond the conventional trial-and-error method, machine learning offers a great opportunity to accelerate the discovery of functional materials, but still often suffers from difficulties such as limited materials data and unbalanced…

Materials Science · Physics 2021-08-23 Xing-Yu Ma , Hou-Yi Lyu , Kuan-Rong Hao , Zhen-Gang Zhu , Qing-Bo Yan , Gang Su

Cells within biological tissue are constantly subjected to dynamic mechanical forces. Measuring the internal stress of tissues has proven crucial for our understanding of the role of mechanical forces in fundamental biological processes…

Quantitative Methods · Quantitative Biology 2025-12-02 L. Anger , A. Schoenit , F. Wodrascka , C. Rossé , R. M. Mège , B. Ladoux , P. Marcq
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