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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

We design a search strategy for the Standard Model $t\bar t t \bar t$ production at the LHC in the same-sign dilepton and trilepton channels. We study different signal features and, given the small expected number of signal events, we…

High Energy Physics - Phenomenology · Physics 2017-01-20 Ezequiel Alvarez , Darius A. Faroughy , Jernej F. Kamenik , Roberto Morales , Alejandro Szynkman

Many inference problems involve inferring the number $N$ of components in some region, along with their properties $\{\mathbf{x}_i\}_{i=1}^N$, from a dataset $\mathcal{D}$. A common statistical example is finite mixture modelling. In the…

Computation · Statistics 2015-01-15 Brendon J. Brewer

Recognizing hadronically decaying top-quark jets in a sample of jets, or even its total fraction in the sample, is an important step in many LHC searches for Standard Model and Beyond Standard Model physics as well. Although there exists…

High Energy Physics - Phenomenology · Physics 2023-06-26 Ezequiel Alvarez , Manuel Szewc , Alejandro Szynkman , Santiago A. Tanco , Tatiana Tarutina

Bayesian model comparison (BMC) offers a principled probabilistic approach to study and rank competing models. In standard BMC, we construct a discrete probability distribution over the set of possible models, conditional on the observed…

Machine Learning · Statistics 2023-02-22 Marvin Schmitt , Stefan T. Radev , Paul-Christian Bürkner

A key limitation of sampling algorithms for approximate inference is that it is difficult to quantify their approximation error. Widely used sampling schemes, such as sequential importance sampling with resampling and Metropolis-Hastings,…

Artificial Intelligence · Computer Science 2017-05-09 Marco F. Cusumano-Towner , Vikash K. Mansinghka

A common way to simulate the transport and spread of pollutants in the atmosphere is via stochastic Lagrangian dispersion models. Mathematically, these models describe turbulent transport processes with stochastic differential equations…

Bayesian inference is useful to obtain a predictive distribution with a small generalization error. However, since posterior distributions are rarely evaluated analytically, we employ the variational Bayesian inference or sampling method to…

Machine Learning · Computer Science 2025-09-03 Yohei Saito , Shun Kimura , Koujin Takeda

Multijet events with heavy-flavors are of central importance at the LHC since many relevant processes -- such as $t\bar t$, $hh$, $t\bar t h$ and others -- have a preferred branching ratio for this final state. Current techniques for…

High Energy Physics - Phenomenology · Physics 2025-01-09 Ezequiel Alvarez , Yuling Yao

In performing a Bayesian analysis, two difficult problems often emerge. First, in estimating the parameters of some model for the data, the resulting posterior distribution may be multi-modal or exhibit pronounced (curving) degeneracies.…

Instrumentation and Methods for Astrophysics · Physics 2013-12-20 F. Feroz , J. Skilling

When working with multimodal Bayesian posterior distributions, Markov chain Monte Carlo (MCMC) algorithms have difficulty moving between modes, and default variational or mode-based approximate inferences will understate posterior…

Methodology · Statistics 2021-11-19 Yuling Yao , Aki Vehtari , Andrew Gelman

Mixture models provide a flexible representation of heterogeneity in a finite number of latent classes. From the Bayesian point of view, Markov Chain Monte Carlo methods provide a way to draw inferences from these models. In particular,…

Methodology · Statistics 2020-05-06 Carolina Valani Cavalcante , Kelly Cristina Mota Gonçalves

Bayesian max-margin models have shown superiority in various practical applications, such as text categorization, collaborative prediction, social network link prediction and crowdsourcing, and they conjoin the flexibility of Bayesian…

Machine Learning · Statistics 2016-10-19 Wenbo Hu , Jun Zhu , Bo Zhang

Power spectrum estimation and evaluation of associated errors in the presence of incomplete sky coverage; non-homogeneous, correlated instrumental noise; and foreground emission is a problem of central importance for the extraction of…

Astrophysics · Physics 2016-08-30 J. Jewell , S. Levin , C. H. Anderson

Bayesian analysis often concerns an evaluation of models with different dimensionality as is necessary in, for example, model selection or mixture models. To facilitate this evaluation, transdimensional Markov chain Monte Carlo (MCMC)…

Methodology · Statistics 2018-08-13 Daniel W. Heck , Antony M. Overstall , Quentin F. Gronau , Eric-Jan Wagenmakers

Uncertainty estimation in deep models is essential in many real-world applications and has benefited from developments over the last several years. Recent evidence suggests that existing solutions dependent on simple Gaussian formulations…

Machine Learning · Computer Science 2022-05-11 Jurijs Nazarovs , Ronak R. Mehta , Vishnu Suresh Lokhande , Vikas Singh

To find New Physics or to refine our knowledge of the Standard Model at the LHC is an enterprise that involves many factors. We focus on taking advantage of available information and pour our effort in re-thinking the usual data-driven ABCD…

High Energy Physics - Phenomenology · Physics 2024-09-26 Ezequiel Alvarez , Leandro Da Rold , Manuel Szewc , Alejandro Szynkman , Santiago A. Tanco , Tatiana Tarutina

To conduct Bayesian inference with large data sets, it is often convenient or necessary to distribute the data across multiple machines. We consider a likelihood function expressed as a product of terms, each associated with a subset of the…

Computation · Statistics 2020-04-09 Lewis J. Rendell , Adam M. Johansen , Anthony Lee , Nick Whiteley

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 nonparametric (BNP) models provide elegant methods for discovering underlying latent features within a data set, but inference in such models can be slow. We exploit the fact that completely random measures, which commonly used…

Machine Learning · Statistics 2020-07-17 Avinava Dubey , Michael Minyi Zhang , Eric P. Xing , Sinead A. Williamson
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