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A Bayesian analysis of the probability of a signal in the presence of background is developed, and criteria are proposed for claiming evidence for, or the discovery of a signal. The method is general and in particular applicable to sparsely…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Allen Caldwell , Kevin Kröninger

Several statistics used by physicists to declare the signal observability over the background are compared. It is shown that the frequentist method of testing a precise hypothesis allows one to estimate the power value of criteria with…

Data Analysis, Statistics and Probability · Physics 2007-05-23 S. I. Bityukov , N. V. Krasnikov

The application of Bayesian Neural Networks(BNN) to discriminate neutrino events from backgrounds in reactor neutrino experiments has been described in Ref.\cite{key-1}. In the paper, BNN are also used to identify neutrino events in reactor…

Data Analysis, Statistics and Probability · Physics 2009-03-12 Ye Xu , WeiWei Xu , YiXiong Meng , Bin Wu

Jet measurements in heavy ion collisions at low jet momentum can provide constraints on the properties of the quark gluon plasma but are overwhelmed by a significant, fluctuating background. We build upon our previous work which…

High Energy Physics - Experiment · Physics 2024-02-21 Tanner Mengel , Patrick Steffanic , Charles Hughes , Antonio Carlos Oliveira Da Silva , Christine Nattrass

The paper addresses general aspects of experimental data analysis, dealing with the separation of ``signal vs. background''. It consists of two parts. Part I is a tutorial on statistical event classification, Bayesian inference, and test…

Data Analysis, Statistics and Probability · Physics 2023-06-30 Rudolf Frühwirth , Winfried Mitaroff

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

Fashion understanding is a hot topic in computer vision, with many applications having great business value in the market. Fashion understanding remains a difficult challenge for computer vision due to the immense diversity of garments and…

Computer Vision and Pattern Recognition · Computer Science 2024-05-08 Junhui Liang , Ying Liu , Vladimir Vlassov

Unwanted camera occlusions, such as debris, dust, rain-drops, and snow, can severely degrade the performance of computer-vision systems. Dynamic occlusions are particularly challenging because of the continuously changing pattern. Existing…

Computer Vision and Pattern Recognition · Computer Science 2023-08-02 Rong Zou , Manasi Muglikar , Nico Messikommer , Davide Scaramuzza

Many Monte Carlo light transport simulations use multiple importance sampling (MIS) to weight between different path sampling strategies. We propose to use the path throughput to compute the MIS weights instead of the commonly used…

Graphics · Computer Science 2018-09-07 Johannes Jendersie

Refining one's hypotheses in the light of data is a common scientific practice; however, the dependency on the data introduces selection bias and can lead to specious statistical analysis. An approach for addressing this is via conditioning…

Machine Learning · Computer Science 2020-03-03 Jen Ning Lim , Makoto Yamada , Wittawat Jitkrittum , Yoshikazu Terada , Shigeyuki Matsui , Hidetoshi Shimodaira

Real-world measurements often comprise a dominant signal contaminated by a noisy background. Robustly estimating the dominant signal in practice has been a fundamental statistical problem. Classically, mixture models have been used to…

Computation · Statistics 2026-05-20 Ananyabrata Barua , Ayanendranath Basu

Models with intractable likelihood functions arise in areas including network analysis and spatial statistics, especially those involving Gibbs random fields. Posterior parameter es timation in these settings is termed a doubly-intractable…

Computation · Statistics 2018-10-16 Lampros Bouranis , Nial Friel , Florian Maire

High fidelity separation of astrophysical foreground contributions from the cosmic microwave background (CMB) signal has been recognized as one of the main challenges of modern CMB data analysis, and one which needs to be addressed in a…

Cosmology and Nongalactic Astrophysics · Physics 2024-11-19 Magdy Morshed , Arianna Rizzieri , Clément Leloup , Josquin Errard , Radek Stompor

Hypothesis tests for the presence of new sources of Poisson counts amidst background processes are frequently performed in high energy physics (HEP), gamma ray astronomy (GRA), and other branches of science. While there are conceptual…

Data Analysis, Statistics and Probability · Physics 2008-11-20 Robert D. Cousins , James T. Linnemann , Jordan Tucker

Future high-sensitivity measurements of the cosmic microwave background (CMB) anisotropies and energy spectrum will be limited by our understanding and modeling of foregrounds. Not only does more information need to be gathered and…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-20 Jens Chluba , J. Colin Hill , Maximilian H. Abitbol

For a quantitative interpretation of reconstructed jet properties in heavy-ion collisions it is paramount to characterize the contribution from the underlying event and the influence of background fluctuations on the jet signal. In addition…

High Energy Physics - Experiment · Physics 2019-08-13 Christian Klein-Boesing

Random-effects models are frequently used to synthesise information from different studies in meta-analysis. While likelihood-based inference is attractive both in terms of limiting properties and of implementation, its application in…

Applications · Statistics 2018-05-25 Sophia Kyriakou , Ioannis Kosmidis , Nicola Sartori

Approximate Bayesian Computation (ABC) can be viewed as an analytic approximation of an intractable likelihood coupled with an elementary simulation step. Such a view, combined with a suitable instrumental prior distribution permits…

Methodology · Statistics 2013-01-04 F. J. Rubio , Adam M. Johansen

In High-Energy Physics experiments it is often necessary to evaluate the global statistical significance of apparent resonances observed in invariant mass spectra. One approach to determining significance is to use simulated events to find…

Data Analysis, Statistics and Probability · Physics 2023-12-29 Kelly J Yi , Leonard G Spiegel , Zhen Hu

Accurate separation of signal from background is one of the main challenges for precision measurements across high-energy and nuclear physics. Conventional supervised learning methods are insufficient here because the required paired signal…