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An unfolding method, based on Bayes theorem is presented to obtain true event-by-event net-charge multiplicity distribution from a corresponding measured distribution, which is subjected to detector artifacts. The unfolding is demonstrated…

High Energy Physics - Phenomenology · Physics 2013-09-18 P. Garg , D. K. Mishra , P. K. Netrakanti , A. K. Mohanty , B. Mohanty

We discuss a method to obtain the true event-by-event net-charge multiplicity distributions from a corresponding measured distribution which is subjected to detector effects such as finite particle counting efficiency. The approach is based…

Nuclear Experiment · Physics 2015-06-12 P. Garg , D. K. Mishra , P. K. Netrakanti , A. K. Mohanty , B. Mohanty

We consider the high energy physics unfolding problem where the goal is to estimate the spectrum of elementary particles given observations distorted by the limited resolution of a particle detector. This important statistical inverse…

Applications · Statistics 2015-11-18 Mikael Kuusela , Victor M. Panaretos

We consider the so-called unfolding problem in experimental high energy physics, where the goal is to estimate the true spectrum of elementary particles given observations distorted by measurement error due to the limited resolution of a…

Applications · Statistics 2014-02-03 Mikael Kuusela , Victor M. Panaretos

The PID problem in high energy physics experiments is analysed with Bayesian technique. The corresponding applicable method is presented.

Data Analysis, Statistics and Probability · Physics 2007-05-23 Ding Tian

Unfolding is an important procedure in particle physics experiments which corrects for detector effects and provides differential cross section measurements that can be used for a number of downstream tasks, such as extracting fundamental…

High Energy Physics - Phenomenology · Physics 2023-07-19 Jay Chan , Benjamin Nachman

Realizing the full potential of interconnecting the large amounts of data created in physics experiments, phenomenological models and theory simulations requires robust tools for statistical inference. Here I review a particularly promising…

High Energy Physics - Phenomenology · Physics 2019-03-07 Alexander Rothkopf

In this work we develop and implement a novel Bayesian method for computing the DOS of a system. This method is based on the use of a test function with adjustable parameters and we use Bayes theorem to find the best parameters given a…

Statistical Mechanics · Physics 2021-12-28 Felipe Moreno , Sergio Davis , Joaquín Peralta

The Bayesian approach to the prediction of particle type given measurements of particle location is explored, using a parametric model whose prior is based on the transformation group. Two types of particle are considered, and locations are…

Data Analysis, Statistics and Probability · Physics 2013-06-17 Robert W. Johnson

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

A fast and general Bayesian inference framework to infer the physical properties of dichroic polarization using mid-infrared imaging- and spectro-polarimetric observations is presented. The Bayesian approach is based on a hierarchical…

Instrumentation and Methods for Astrophysics · Physics 2015-12-02 E. Lopez-Rodriguez

A variational Bayesian inference for measured wave intensity, such as X-ray intensity, is proposed in this paper. The data is popular to obtain information about unobservable features of an object, such as a material sample and the…

Machine Learning · Computer Science 2024-11-12 Akinori Asahara , Yoshihiro Osakabe , Yamamoto Mitsuya , Hidekazu Morita

A widely used method to create a continuous representation of a discrete data-set is regression analysis. When the regression model is not based on a mathematical description of the physics underlying the data, heuristic techniques play a…

Statistics Theory · Mathematics 2013-07-18 Giovanni Mana , Paolo Alberto Giuliano Albo , Simona Lago

The experimental problem of converting a measured binomial quantity, the fraction of events in a sample that pass a cut, into a physical binomial quantity, the fraction of events originating from a signal source, is described as a system of…

High Energy Physics - Experiment · Physics 2007-05-23 Michael L. Kelly

We apply the Bayesian model selection method (based on the Bayes factor) to optimize $\sqrt{s_\mathrm{NN}}$-dependence in the phenomenological parameters of the (3+1)-dimensional hybrid framework for describing relativistic heavy-ion…

Nuclear Theory · Physics 2026-03-02 Syed Afrid Jahan , Hendrik Roch , Chun Shen

We present a new method, "kairosis", for aggregating probability forecasts made over a time period of a single outcome determined at the end of that period. Informed by work on Bayesian change-point detection, we begin by constructing for…

Applications · Statistics 2025-03-31 Zane Hassoun , Ben Powell , Niall MacKay

After a derivation of the quantum Bayes theorem, and a discussion of the reconstruction of the unknown state of identical spin systems by repeated measurements, the main part of this paper treats the problem of determining the unknown phase…

Quantum Physics · Physics 2009-11-11 Filippo Neri

Bayesian inference is applied directly to the problem of unfolding. The outcome is a posterior probability density for the spectrum before smearing, defined in the multi-dimensional space of all possible spectra. Regularization consists in…

Data Analysis, Statistics and Probability · Physics 2012-06-01 Georgios Choudalakis

Bayesian change-point detection, together with latent variable models, allows to perform segmentation over high-dimensional time-series. We assume that change-points lie on a lower-dimensional manifold where we aim to infer subsets of…

Machine Learning · Statistics 2020-11-04 Lorena Romero-Medrano , Pablo Moreno-Muñoz , Antonio Artés-Rodríguez

We present a method for the decomposition of mass spectra of mixture gases using Bayesian probability theory. The method works without any calibration measurement and therefore applies also to the analysis of spectra containing unstable…

Data Analysis, Statistics and Probability · Physics 2007-05-23 H. D. Kang , R. Preuss , T. Schwarz-Selinger , V. Dose
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