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We study the application of a Bayesian method to extract relevant information from data for the case of a signal consisting of two or more decaying particles and its background. The method takes advantage of the dependence that exists in…

High Energy Physics - Phenomenology · Physics 2023-06-06 Ezequiel Alvarez

Bayesian learning is a powerful learning framework which combines the external information of the data (background information) with the internal information (training data) in a logically consistent way in inference and prediction. By…

Machine Learning · Statistics 2026-02-11 Erdong Guo , David Draper

Improving the understanding of signal and background distributions in signal-region is a valuable key to enhance any analysis in collider physics. This is usually a difficult task because -- among others -- signal and backgrounds are hard…

High Energy Physics - Phenomenology · Physics 2025-11-26 Ezequiel Alvarez , Manuel Szewc , Alejandro Szynkman , Santiago Tanco , Tatiana Tarutina

The standard approach to Bayesian inference is based on the assumption that the distribution of the data belongs to the chosen model class. However, even a small violation of this assumption can have a large impact on the outcome of a…

Methodology · Statistics 2015-06-22 Jeffrey W. Miller , David B. Dunson

A novel solution is presented for the problem of estimating the backgrounds of a signal search using observed data while simultaneously maximizing the sensitivity of the search to the signal. The ``ABCD method'' provides a reliable…

High Energy Physics - Experiment · Physics 2025-06-11 CMS Collaboration

Inferring parameter distributions of complex industrial systems from noisy time series data requires methods to deal with the uncertainty of the underlying data and the used simulation model. Bayesian inference is well suited for these…

Applications · Statistics 2021-06-18 David N. John , Livia Stohrer , Claudia Schillings , Michael Schick , Vincent Heuveline

Performing exact posterior inference in complex generative models is often difficult or impossible due to an expensive to evaluate or intractable likelihood function. Approximate Bayesian computation (ABC) is an inference framework that…

Machine Learning · Statistics 2016-02-16 Jovana Mitrovic , Dino Sejdinovic , Yee Whye Teh

Approximate Bayesian Computation (ABC) methods are commonly used to approximate posterior distributions in models with unknown or computationally intractable likelihoods. Classical ABC methods are based on nearest neighbor type algorithms…

Methodology · Statistics 2025-06-24 Meili Baragatti , Casenave Céline , Bertrand Cloez , David Métivier , Isabelle Sanchez

Like mean, quantile and variance, mode is also an important measure of central tendency and data summary. Many practical questions often focus on "Which element (gene or file or signal) occurs most often or is the most typical among all…

Methodology · Statistics 2012-08-03 Keming Yu , Katerina Aristodemou

Monte Carlo (MC) generators are crucial for analyzing data in particle collider experiments. However, often even a small mismatch between the MC simulations and the measurements can undermine the interpretation of the results. This is…

High Energy Physics - Phenomenology · Physics 2022-05-18 Ezequiel Alvarez , Barry M. Dillon , Darius A. Faroughy , Jernej F. Kamenik , Federico Lamagna , Manuel Szewc

Model selection in the presence of intractable likelihoods remains a central challenge in Bayesian inference. Approximate Bayesian computation (ABC) provides a flexible likelihood-free framework, but its use for model choice is known to be…

Methodology · Statistics 2026-03-03 Clara Grazian

To infer the parameters of mechanistic models with intractable likelihoods, techniques such as approximate Bayesian computation (ABC) are increasingly being adopted. One of the main disadvantages of ABC in practical situations, however, is…

Computation · Statistics 2018-08-03 Jonathan U Harrison , Ruth E Baker

We propose a physics-informed anomaly detection framework for collider data based on a Bayesian latent diffusion model. Our method combines a probabilistic encoder with diffusion dynamics in the latent space, allowing for stable and…

Data Analysis, Statistics and Probability · Physics 2026-03-27 Jigar Patel , Tommaso Dorigo

The ABCD method is one of the most widely used data-driven background estimation techniques in high energy physics. Cuts on two statistically-independent classifiers separate signal and background into four regions, so that background in…

High Energy Physics - Phenomenology · Physics 2021-03-03 Gregor Kasieczka , Benjamin Nachman , Matthew D. Schwartz , David Shih

Approximate Bayesian computation (ABC) methods have become increasingly prevalent of late, facilitating as they do the analysis of intractable, or challenging, statistical problems. With the initial focus being primarily on the practical…

Computation · Statistics 2015-08-24 David T. Frazier , Gael M. Martin , Christian P. Robert

Distance metric learning is an important component for many tasks, such as statistical classification and content-based image retrieval. Existing approaches for learning distance metrics from pairwise constraints typically suffer from two…

Machine Learning · Computer Science 2012-06-26 Liu Yang , Rong Jin , Rahul Sukthankar

A central challenge in statistical inference is the presence of confounding variables that may distort observed associations between treatment and outcome. Conventional "causal" methods, grounded in assumptions such as ignorability, exclude…

Methodology · Statistics 2025-09-09 Ellis Scharfenaker , Duncan K. Foley

Measuring di-Higgs production in the four-bottom channel is challenged by overwhelming QCD backgrounds and imperfect simulations. We develop a Bayesian mixture model that simultaneously infers signal and background fractions and their…

High Energy Physics - Phenomenology · Physics 2025-12-01 Ezequiel Alvarez , Leandro Da Rold , Manuel Szewc , Alejandro Szynkman , Santiago Tanco , Tatiana Tarutina

It is crucial for robots to be aware of the presence of constraints in order to acquire safe policies. However, explicitly specifying all constraints in an environment can be a challenging task. State-of-the-art constraint inference…

Robotics · Computer Science 2024-03-06 Dimitris Papadimitriou , Daniel S. Brown

Individual events at high-energy colliders like the LHC can be represented by a sequence of measurements, or 'point patterns' in an observable space. Starting from this data representation, we build a simple Bayesian probabilistic model for…

High Energy Physics - Phenomenology · Physics 2020-12-17 Darius A. Faroughy
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