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A method is developed for fitting theoretically predicted astronomical spectra to an observed spectrum. Using a hierarchical Bayesian principle, the method takes both systematic and statistical measurement errors into account, which has not…

Astrophysics · Physics 2008-11-26 Z. Shkedy , L. Decin , G. Molenberghs , C. Aerts

L\'evy processes are widely used in financial mathematics, telecommunication, economics, queueing theory and natural sciences for modelling. We propose an essentially asymptotically efficient estimation method for the system parameters of…

Statistics Theory · Mathematics 2014-04-14 Máté Mánfay , László Gerencsér , Zsanett Orlovits

It is shown that if the Euclidean path integral measure of a minimally coupled free quantum scalar field on a classical metric background is interpreted as probability of observing the field configuration given the background metric then…

Quantum Physics · Physics 2021-02-22 Can Gokler

We perform a precision calculation of the effective field theory (EFT) conditional likelihood for large-scale structure (LSS) using the saddle-point expansion method in the presence of primordial non-Gaussianities (PNG). The precision is…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-11 Ji-Yuan Ke , Yun Wang , Ping He

This note gives an overview of the tools for predicting expectations in the Standard Model effective field theory (SMEFT) at the tree level and one loop available through event generators. Methods of event reweighting, the separate…

This paper presents a Bayesian parameter estimation approach and identifiability analysis for a lithium-ion battery model, to determine the uniqueness, evaluate the sensitivity and quantify the uncertainty of a subset of the model…

Systems and Control · Electrical Eng. & Systems 2023-09-04 Antti Aitio , Scott G. Marquis , Pedro Ascencio , David Howey

Parameter-efficient fine-tuning (PEFT) is a highly effective approach for adapting large pre-trained models to downstream tasks with minimal computational overhead. At the core, PEFT methods freeze most parameters and only trains a small…

Machine Learning · Computer Science 2025-05-20 Shiyun Xu , Zhiqi Bu

In this article, we construct empirical likelihood (EL)-weighted estimators of linear functionals of a probability measure in the presence of side information. Motivated by nuisance parameters in semiparametric models with possibly infinite…

Statistics Theory · Mathematics 2023-01-25 Shan Wang , Hanxiang Peng

The implications of an effective field theory (EFT) interpretation of nuclear mean-field phenomenology are reviewed.

Nuclear Theory · Physics 2009-10-31 R. J. Furnstahl , Brian D. Serot

We derive ensembles of decision trees through a nonparametric Bayesian model, allowing us to view random forests as samples from a posterior distribution. This insight provides large gains in interpretability, and motivates a class of…

Applications · Statistics 2015-05-19 Matt Taddy , Chun-Sheng Chen , Jun Yu , Mitch Wyle

The Fermi effective theory of the weak interaction helped identify the structure of the electroweak sector of the Standard Model, and the chiral effective Lagrangian pointed towards QCD as the theory of the strong interactions. The Standard…

High Energy Physics - Phenomenology · Physics 2021-06-01 John Ellis

We present two approximate Bayesian inference methods for parameter estimation in partial differential equation (PDE) models with space-dependent and state-dependent parameters. We demonstrate that these methods provide accurate and…

Methodology · Statistics 2019-09-04 David A. Barajas-Solano , Alexandre M. Tartakovsky

Effective field theories are an incredibly powerful tool in order to study and understand the true nature of the symmetry breaking sector dynamics of the Standard Model. However, they can suffer from some theoretical problems such as that…

High Energy Physics - Phenomenology · Physics 2019-11-19 C. Garcia-Garcia , M. J. Herrero , R. A. Morales

Using the analysis of ChPT to two loops, we perform an error analysis of the threshold and low energy parameters, based on the uncertainties for the one loop low energy parameters and the resonance saturation mechanism. Different sets of…

High Energy Physics - Phenomenology · Physics 2011-10-11 J. Nieves , E. Ruiz Arriola

Exponential random graph models are an important tool in the statistical analysis of data. However, Bayesian parameter estimation for these models is extremely challenging, since evaluation of the posterior distribution typically involves…

Computation · Statistics 2017-05-05 Lampros Bouranis , Nial Friel , Florian Maire

Different computational techniques for cosmological phase transition parameters can impact the Gravitational Wave (GW) spectra predicted in a given particle physics model. To scrutinize the importance of this effect, we perform large-scale…

High Energy Physics - Phenomenology · Physics 2025-04-24 Marek Lewicki , Marco Merchand , Laura Sagunski , Philipp Schicho , Daniel Schmitt

We review the effective field theory (EFT) approach to gravitational dynamics. We focus on extended objects in long-wavelength backgrounds and gravitational wave emission from spinning binary systems. We conclude with an introduction to EFT…

High Energy Physics - Theory · Physics 2016-05-17 Rafael A. Porto

The nuclear physics landscape has been redesigned as a sequence of effective field theories (EFTs) connected to the Standard Model through symmetries and lattice simulations of Quantum Chromodynamics (QCD). EFTs in this sequence are…

Nuclear Theory · Physics 2020-07-01 H. -W. Hammer , S. König , U. van Kolck

Dynamical system state estimation and parameter calibration problems are ubiquitous across science and engineering. Bayesian approaches to the problem are the gold standard as they allow for the quantification of uncertainties and enable…

Data Analysis, Statistics and Probability · Physics 2024-11-12 Kairui Hao , Ilias Bilionis

The Standard Model Effective Field Theory (SMEFT) provides a consistent framework for comparing precision measurements at the LHC to the Standard Model. The observation of statistically significant non-zero SMEFT coefficients would…

High Energy Physics - Phenomenology · Physics 2021-04-27 Sally Dawson , Samuel Homiller , Samuel D. Lane