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With the advent of the next generation of astrophysics experiments, the volume of data available to researchers will be greater than ever. As these projects will significantly drive down statistical uncertainties in measurements, it is…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-08 Alan B. H. Nguyen , Marco Bonici , Glen McGee , Will J. Percival

Many experiments can be interpreted in terms of random processes operating according to some internal protocols. When experiments are costly or cannot be repeated only one or a few finite samples are available. In this paper we study data…

Data Analysis, Statistics and Probability · Physics 2016-02-02 Marian Kupczynski , Hans De Raedt

Many high-energy physics analyses require the presence of leptons from $W$, $Z$, or $H$ boson decay. For these analyses, signatures that mimic such leptons present a `fake lepton' background that must be estimated. Since the magnitude of…

High Energy Physics - Experiment · Physics 2016-06-23 Erich W. Varnes

An isotropic stochastic background of nanohertz gravitational waves creates excess residual power in pulsar-timing-array datasets, with characteristic inter-pulsar correlations described by the Hellings-Downs function. These correlations…

General Relativity and Quantum Cosmology · Physics 2023-05-25 Sophie Hourihane , Patrick Meyers , Aaron Johnson , Katerina Chatziioannou , Michele Vallisneri

Due to developments in instruments and computers, functional observations are increasingly popular. However, effective methodologies for flexibly estimating the underlying trends with valid uncertainty quantification for a sequence of…

Methodology · Statistics 2022-09-22 Tomoya Wakayama , Shonosuke Sugasawa

Particle physics experiments such as those run in the Large Hadron Collider result in huge quantities of data, which are boiled down to a few numbers from which it is hoped that a signal will be detected. We discuss a simple probability…

Applications · Statistics 2011-02-18 A. C. Davison , N. Sartori

Statistical data is often analyzed as a contingency table, sometimes with empty cells called zeros. Such sparse tables can be due to scarse observations classified in numerous categories, as for example in genetic association studies. Thus,…

Statistics Theory · Mathematics 2010-07-28 Audrey Finkler

Statistical data is often analyzed as a contingency table, sometimes with empty cells called zeros. Such sparse tables can be due to scarse observations classified in numerous categories, as for example in genetic association studies. Thus,…

Statistics Theory · Mathematics 2010-07-28 Audrey Finkler

In many experimental contexts, it is necessary to statistically remove the impact of instrumental effects in order to physically interpret measurements. This task has been extensively studied in particle physics, where the deconvolution…

High Energy Physics - Phenomenology · Physics 2024-12-17 Huanbiao Zhu , Krish Desai , Mikael Kuusela , Vinicius Mikuni , Benjamin Nachman , Larry Wasserman

The frequentist method of profile likelihoods has recently received renewed attention in the field of cosmology. This is because the results of inferences based on the latter may differ from those of Bayesian inferences, either because of…

Cosmology and Nongalactic Astrophysics · Physics 2023-12-15 Andreas Nygaard , Emil Brinch Holm , Steen Hannestad , Thomas Tram

This paper describes a compound Poisson-based random effects structure for modeling zero-inflated data. Data with large proportion of zeros are found in many fields of applied statistics, for example in ecology when trying to model and…

Applications · Statistics 2009-07-29 Marie-Pierre Etienne , Eric Parent , Benoit Hugues , Bernier Jacques

Simulation models of complex dynamics in the natural and social sciences commonly lack a tractable likelihood function, rendering traditional likelihood-based statistical inference impossible. Recent advances in machine learning have…

Machine Learning · Statistics 2022-02-24 Joel Dyer , Patrick Cannon , Sebastian M Schmon

Data analyses in hadron collider physics depend on background simulations performed by Monte Carlo (MC) event generators. However, calculational limitations and non-perturbative effects require approximate models with adjustable parameters.…

High Energy Physics - Phenomenology · Physics 2011-04-20 Andy Buckley , Hendrik Hoeth , Heiko Lacker , Holger Schulz , Jan Eike von Seggern

In particle physics, as in many areas of science, parameter inference relies on simulations to bridge the gap between theory and experiment. Recent developments in simulation-based inference have boosted the sensitivity of analyses;…

High Energy Physics - Phenomenology · Physics 2026-04-23 Ezequiel Alvarez , Sean Benevedes , Manuel Szewc , Jesse Thaler

Labeling bias arises during data collection due to resource limitations or unconscious bias, leading to unequal label error rates across subgroups or misrepresentation of subgroup prevalence. Most fairness constraints assume training labels…

Machine Learning · Computer Science 2026-02-24 Frida Jørgensen , Nina Weng , Siavash Bigdeli

In this paper we introduce a binary search algorithm that efficiently finds initial maximum likelihood estimates for sequential experiments where a binary response is modeled by a continuous factor. The problem is motivated by switching…

Statistics Theory · Mathematics 2008-08-27 Juha Karvanen

Recently, there has been extensive research on the capabilities of biologically plausible algorithms. In this work, we show how one of such algorithms, called predictive coding, is able to perform causal inference tasks. First, we show how…

Machine Learning · Computer Science 2024-06-04 Tommaso Salvatori , Luca Pinchetti , Amine M'Charrak , Beren Millidge , Thomas Lukasiewicz

Inspired by the recent proposal by Feldman and Cousins of a ``unified approach to the classical statistical analysis of small signals'' based on a choice of ordering in Neyman's construction of classical confidence intervals, I propose a…

High Energy Physics - Phenomenology · Physics 2011-07-19 C. Giunti

The sensitivity of gravitational wave searches is reduced by the presence of non-Gaussian noise in the detector data. These non-Gaussianities often match well with the template waveforms used in matched filter searches, and require…

General Relativity and Quantum Cosmology · Physics 2022-05-26 Connor McIsaac , Ian Harry