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We introduce a Bayesian approach to discovering patterns in structurally complex processes. The proposed method of Bayesian Structural Inference (BSI) relies on a set of candidate unifilar HMM (uHMM) topologies for inference of process…

Machine Learning · Statistics 2014-04-23 Christopher C. Strelioff , James P. Crutchfield

We use the Fitmaker tool to incorporate the recent CDF measurement of $m_W$ in a global fit to electroweak, Higgs, and diboson data in the Standard Model Effective Field Theory (SMEFT) including dimension-6 operators at linear order. We…

High Energy Physics - Phenomenology · Physics 2022-09-21 Emanuele Bagnaschi , John Ellis , Maeve Madigan , Ken Mimasu , Veronica Sanz , Tevong You

We propose a novel approach to perform approximate Bayesian inference in complex models such as Bayesian neural networks. The approach is more scalable to large data than Markov Chain Monte Carlo, it embraces more expressive models than…

Machine Learning · Statistics 2022-09-07 Joel Janek Dabrowski , Daniel Edward Pagendam

Few Bayesian methods for analyzing high-dimensional sparse survival data provide scalable variable selection, effect estimation and uncertainty quantification. Such methods often either sacrifice uncertainty quantification by computing…

Methodology · Statistics 2022-07-06 Michael Komodromos , Eric Aboagye , Marina Evangelou , Sarah Filippi , Kolyan Ray

Statistical learning additions to physically derived mathematical models are gaining traction in the literature. A recent approach has been to augment the underlying physics of the governing equations with data driven Bayesian statistical…

Methodology · Statistics 2022-05-25 Connor Duffin , Edward Cripps , Thomas Stemler , Mark Girolami

Deep ensembles have emerged as a powerful technique for improving predictive performance and enhancing model robustness across various applications by leveraging model diversity. However, traditional deep ensemble methods are often…

Bayesian analysis plays a crucial role in estimating distribution of unknown parameters for given data and model. Due to the curse of dimensionality, it becomes difficult for high-dimensional problems, especially when multiple modes exist.…

Methodology · Statistics 2025-07-18 Zihan Liao , Binbin Li , Hua-Ping Wan

We consider Bayesian inference for large scale inverse problems, where computational challenges arise from the need for repeated evaluations of an expensive forward model. This renders most Markov chain Monte Carlo approaches infeasible,…

Numerical Analysis · Mathematics 2022-08-12 Daniel Zhengyu Huang , Jiaoyang Huang , Sebastian Reich , Andrew M. Stuart

The paper addresses joint sparsity selection in the regression coefficient matrix and the error precision (inverse covariance) matrix for high-dimensional multivariate regression models in the Bayesian paradigm. The selected sparsity…

Methodology · Statistics 2022-01-19 Srijata Samanta , Kshitij Khare , George Michailidis

The Simplified Template Cross Section (STXS) program has become the standard interface between Higgs measurements and global fits, but its fixed one-dimensional boundaries are not guaranteed to align with the phase-space directions to which…

High Energy Physics - Phenomenology · Physics 2026-03-13 Daniel Conde , Miguel G. Folgado , Veronica Sanz

In science, we are interested not only in forecasting but also in understanding how predictions are made, specifically what the interpretable underlying model looks like. Data-driven machine learning technology can significantly streamline…

Symbolic Computation · Computer Science 2025-05-29 Weiting Liu , Jiaxu Cui , Jiao Hu , En Wang , Bo Yang

There is a rich literature proposing methods and establishing asymptotic properties of Bayesian variable selection methods for parametric models, with a particular focus on the normal linear regression model and an increasing emphasis on…

Statistics Theory · Mathematics 2011-08-16 Suprateek Kundu , David B. Dunson

The standard model effective field theory (SMEFT) provides systematic parameterization of all possible new physics above the electroweak scale. According to the amplitude-operator correspondence, an effective operator can be decomposed into…

High Energy Physics - Phenomenology · Physics 2022-12-21 Hao-Lin Li , Yu-Han Ni , Ming-Lei Xiao , Jiang-Hao Yu

We consider a latent space model for dynamic networks, where our objective is to estimate the pairwise inner products plus the intercept of the latent positions. To balance posterior inference and computational scalability, we consider a…

Machine Learning · Statistics 2024-10-16 Peng Zhao , Anirban Bhattacharya , Debdeep Pati , Bani K. Mallick

The equations of motion for the Standard Model Effective Field Theory (SMEFT) differ from those in the Standard Model. Corrections due to local contact operators modify the equations of motion and impact matching results at sub-leading…

High Energy Physics - Phenomenology · Physics 2018-12-26 Abdurrahman Barzinji , Michael Trott , Anagha Vasudevan

Predicting outcomes in external domains is challenging due to hidden confounders that potentially influence both predictors and outcomes. Well-established methods frequently rely on stringent assumptions, explicit knowledge about the…

Methodology · Statistics 2025-10-14 Carlos García Meixide , David Ríos Insua

We propose the creation of a Light Exotics Effective Field Theory (LEX-EFT) catalog. LEX-EFT is a generic framework to capture all interactions between the Standard Model (SM) and all (or at least a large class of) theoretically allowed…

High Energy Physics - Phenomenology · Physics 2023-08-14 Linda M. Carpenter , Taylor Murphy , Matthew J. Smylie

Bayesian inference is widely used in many different fields to test hypotheses against observations. In most such applications, an assumption is made of precise input values to produce a precise output value. However, this is unrealistic for…

Artificial Intelligence · Computer Science 2025-09-12 John T. Rickard , William A. Dembski , James Rickards

We study the process $pp \to Z(\ell^+ \ell^-)h(b\bar b)$ in the Standard Model Effective Field Theory (SMEFT) at high energies using subjet techniques to reconstruct the Higgs boson. We show that at high energies this process probes four…

High Energy Physics - Phenomenology · Physics 2018-11-16 Shankha Banerjee , Christoph Englert , Rick S. Gupta , Michael Spannowsky

Performing inference in Bayesian models requires sampling algorithms to draw samples from the posterior. This becomes prohibitively expensive as the size of data sets increase. Constructing approximations to the posterior which are cheap to…

Statistics Theory · Mathematics 2023-04-19 George Wynne