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Small-angle X-ray and neutron scattering are widely used to investigate soft matter and biophysical systems. The experimental errors are essential when assessing how well a hypothesized model fits the data. Likewise, they are important when…

Data Analysis, Statistics and Probability · Physics 2022-04-20 Andreas Haahr Larsen , Martin Cramer Pedersen

Bayesian estimation is a powerful theoretical paradigm for the operation of quantum sensors. However, the Bayesian method for statistical inference generally suffers from demanding calibration requirements that have so far restricted its…

Quantum Physics · Physics 2021-09-22 Samuel P. Nolan , Augusto Smerzi , Luca Pezzè

We study the problem of efficiently estimating the effect of an intervention on a single variable (atomic interventions) using observational samples in a causal Bayesian network. Our goal is to give algorithms that are efficient in both…

Machine Learning · Computer Science 2020-08-07 Arnab Bhattacharyya , Sutanu Gayen , Saravanan Kandasamy , Ashwin Maran , N. V. Vinodchandran

Sensitivity forecasts inform the design of experiments and the direction of theoretical efforts. To arrive at representative results, Bayesian forecasts should marginalize their conclusions over uncertain parameters and noise realizations…

Instrumentation and Methods for Astrophysics · Physics 2024-05-24 T. Gessey-Jones , W. J. Handley

We use optical photometric and polarimetric data of BL Lacertae that cover a period of 22 years to study the variability of the source. The long-term observations are employed for establishing parameters of a stochastic model consisting of…

Cosmology and Nongalactic Astrophysics · Physics 2009-11-17 D. A. Blinov , V. A. Hagen-Thorn

A variety of researchers have successfully obtained the parameters of low dimensional diffusion models using the data that comes out of atomistic simulations. This naturally raises a variety of questions about efficient estimation,…

Statistical Mechanics · Physics 2015-11-06 Christopher P. Calderon

Instrumental variables regression is a tool that is commonly used in the analysis of observational data. The instrumental variables are used to make causal inference about the effect of a certain exposure in the presence of unmeasured…

Methodology · Statistics 2023-09-07 Valentin Vancak , Arvid Sjölander

This publication presents an investigation of the performance of different analytical electron ptychography methods for low-dose imaging. In particular, benchmarking is performed for two model-objects, monolayer MoS$_2$ and apoferritin, by…

Applied Physics · Physics 2025-05-20 Hoelen L. Lalandec Robert , Max Leo Leidl , Knut Müller-Caspary , Jo Verbeeck

We propose analytical forms, in both momentum transfer and impact parameter spaces, for the amplitudes of elastic pp scattering, giving coherent and accurate description of the observables at all energies $\sqrt{s}\geq 20$ GeV. The real and…

High Energy Physics - Experiment · Physics 2013-10-15 A. K. Kohara , E. Ferreira , T. Kodama

The rapid advancement of data science and artificial intelligence has affected physics in numerous ways, including the application of Bayesian inference, setting the stage for a revolution in research methodology. Our group has proposed…

Data Analysis, Statistics and Probability · Physics 2024-08-28 Shun Katakami , Shuhei Kashiwamura , Kenji Nagata , Masaichiro Mizumaki , Masato Okada

We present a new approach to constrain galaxy physical parameters from the combined interpretation of stellar and nebular emission in wide ranges of observations. This approach relies on the Bayesian analysis of any type of galaxy spectral…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Camilla Pacifici , Stephane Charlot , Jeremy Blaizot , Jarle Brinchmann

Despite growing interest in probabilistic modeling approaches and availability of learning tools, people with no or less statistical background feel hesitant to use them. There is need for tools for communicating probabilistic models to…

Human-Computer Interaction · Computer Science 2022-02-22 Evdoxia Taka , Sebastian Stein , John H. Williamson

A boson sampler implements a restricted model of quantum computing. It is defined by the ability to sample from the distribution resulting from the interference of identical bosons propagating according to programmable, non-interacting…

Inferences about hypotheses are ubiquitous in the cognitive sciences. Bayes factors provide one general way to compare different hypotheses by their compatibility with the observed data. Those quantifications can then also be used to choose…

The design of an experiment can be always be considered at least implicitly Bayesian, with prior knowledge used informally to aid decisions such as the variables to be studied and the choice of a plausible relationship between the…

Methodology · Statistics 2017-01-03 David C. Woods , Antony M. Overstall , Maria Adamou , Timothy W. Waite

The elastic scattering cross sections for the reactions $^{110,116}$Cd($\alpha,\alpha$)$^{110,116}$Cd at energies above and below the Coulomb barrier are presented to provide a sensitive test for the alpha-nucleus optical potential…

Stochastic inverse problems considered in this article consist of estimating the probability distributions of intrinsically random inputs of computer models. These estimations are based on observable outputs affected by model noise, and…

Statistics Theory · Mathematics 2025-03-17 Nicolas Bousquet , Mélanie Blazère , Thomas Cerbelaud

In spite of the widespread use of optical tweezers as a quantitative tool to measure small forces, there exists no unambiguous and simple experimental method for either validating its theoretically predicted form or empirically…

Soft Condensed Matter · Physics 2013-01-25 Deepak Kumar , Shankar Ghosh , S. Bhattacharya

The recent availability of huge, many-dimensional data sets, like those arising from genome-wide association studies (GWAS), provides many opportunities for strengthening causal inference. One popular approach is to utilize these…

Machine Learning · Statistics 2020-12-21 Ioan Gabriel Bucur , Tom Claassen , Tom Heskes

Meta-analysis is a powerful tool to synthesize findings from multiple studies. The normal-normal random-effects model is widely used to account for between-study heterogeneity. However, meta-analysis of sparse data, which may arise when the…

Methodology · Statistics 2024-06-10 Taojun Hu , Yi Zhou , Satoshi Hattori