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A physics-informed machine learning model, in the form of a multi-output Gaussian process, is formulated using the Euler-Bernoulli beam equation. Given appropriate datasets, the model can be used to regress the analytical value of the…

Machine Learning · Statistics 2023-08-08 Gledson Rodrigo Tondo , Sebastian Rau , Igor Kavrakov , Guido Morgenthal

Extracting maximal information from experimental data requires access to the likelihood function, which however is never directly available for complex experiments like those performed at high energy colliders. Theoretical predictions are…

High Energy Physics - Phenomenology · Physics 2023-08-11 Siyu Chen , Alfredo Glioti , Giuliano Panico , Andrea Wulzer

Given the lack of evidence for new particle discoveries at the Large Hadron Collider (LHC), it is critical to broaden the search program. A variety of model-independent searches have been proposed, adding sensitivity to unexpected signals.…

High Energy Physics - Phenomenology · Physics 2020-05-13 Anders Andreassen , Benjamin Nachman , David Shih

In this Letter, we strengthen and extend the connection between simulation and estimation to exploit simulation routines that do not exactly compute the probability of experimental data, known as the likelihood function. Rather, we provide…

Quantum Physics · Physics 2014-04-14 Christopher Ferrie , Christopher E. Granade

Interpretation of machine learning models has become one of the most important research topics due to the necessity of maintaining control and avoiding bias in these algorithms. Since many machine learning algorithms are published every…

Machine Learning · Computer Science 2021-10-12 Wilson E. Marcílio-Jr , Danilo M. Eler , Fabrício Breve

Multi-object state estimation is a fundamental problem for robotic applications where a robot must interact with other moving objects. Typically, other objects' relevant state features are not directly observable, and must instead be…

Robotics · Computer Science 2022-12-15 Angad Singh , Omar Makhlouf , Maximilian Igl , Joao Messias , Arnaud Doucet , Shimon Whiteson

We present a multi-fidelity method for uncertainty quantification of parameter estimates in complex systems, leveraging generative models trained to sample the target conditional distribution. In the Bayesian inference setting, traditional…

Machine Learning · Computer Science 2025-04-03 Caroline Tatsuoka , Minglei Yang , Dongbin Xiu , Guannan Zhang

Bayesian methods have been very successful in quantifying uncertainty in physics-based problems in parameter estimation and prediction. In these cases, physical measurements y are modeled as the best fit of a physics-based model…

Data Analysis, Statistics and Probability · Physics 2015-02-06 Dave Higdon , Jordan D. McDonnell , Nicolas Schunck , Jason Sarich , Stefan M. Wild

We develop, discuss, and compare several inference techniques to constrain theory parameters in collider experiments. By harnessing the latent-space structure of particle physics processes, we extract extra information from the simulator.…

High Energy Physics - Phenomenology · Physics 2018-09-19 Johann Brehmer , Kyle Cranmer , Gilles Louppe , Juan Pavez

We consider an empirical likelihood framework for inference for a statistical model based on an informative sampling design. Covariate information is incorporated both through the weights and the estimating equations. The estimator is based…

Methodology · Statistics 2019-05-03 Sanjay Chaudhuri , Mark S. Handcock

Techniques for understanding the functioning of complex machine learning models are becoming increasingly popular, not only to improve the validation process, but also to extract new insights about the data via exploratory analysis. Though…

Machine Learning · Statistics 2018-11-02 Jayaraman J. Thiagarajan , Irene Kim , Rushil Anirudh , Peer-Timo Bremer

We derive analytic formulas to reconstruct particle-averaged quantities from experimental results that suffer from the efficiency loss of particle measurements. These formulas are derived under the assumption that the probabilities of…

Data Analysis, Statistics and Probability · Physics 2025-10-17 Masakiyo Kitazawa , ShinIchi Esumi , Takafumi Niida , Toshihiro Nonaka

Fiducial production cross sections measurements of Standard Model processes, in principle, provide constraints on new physics scenarios via a comparison of the predicted Standard Model cross section and the observed cross section. This…

High Energy Physics - Experiment · Physics 2019-12-05 Gabriel Facini , Kyrylo Merkotan , Matthias Schott , Alexander Sydorenko

We present a novel approach to identify potential dispersed signals of new physics in the slew of published LHC results. It employs a random walk algorithm to introduce sets of new particles, dubbed "proto-models", which are tested against…

High Energy Physics - Phenomenology · Physics 2021-05-20 Sabine Kraml , Andre Lessa , Wolfgang Waltenberger

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

The sensitivity of molecular dynamics on changes in the potential energy function plays an important role in understanding the dynamics and function of complex molecules.We present a method to obtain path ensemble averages of a perturbed…

Statistical Mechanics · Physics 2017-08-02 Luca Donati , Carsten Hartmann , Bettina G. Keller

In particle physics and cosmology, distinguishing subtle new physics signals from established backgrounds is a fundamental and persistent challenge for phenomenologists. This paper discuss a simple and robust statistical framework to…

High Energy Physics - Phenomenology · Physics 2026-05-08 S. Ansarifard

In this study, we delve into the intricate mathematical frameworks essential for the renormalization of effective elastic models within complex physical systems. By integrating advanced tools such as Laurent series, residue theorem, winding…

General Physics · Physics 2024-09-24 Wen-Xiang Chen

We present a new method to evaluate vibrational free energies of atomic systems without a priori specification of an interatomic potential. Our model-agnostic approach leverages descriptors, high-dimensional feature vectors of atomic…

Materials Science · Physics 2025-03-05 Thomas D Swinburne , Clovis Lapointe , Mihai-Cosmin Marinica

Neural networks (NNs) are inherently multidimensional classifiers that learn complex, non-linear relationships among input observables. While their flexibility enables unprecedented performance in high-energy physics (HEP) analyses, it also…