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We apply the Bayesian model selection method (based on the Bayes factor) to optimize $\sqrt{s_\mathrm{NN}}$-dependence in the phenomenological parameters of the (3+1)-dimensional hybrid framework for describing relativistic heavy-ion…

Nuclear Theory · Physics 2026-03-02 Syed Afrid Jahan , Hendrik Roch , Chun Shen

Nanotechnology and the consequent emergence of miniaturized devices are driving the need to improve our understanding of the mechanical properties of a myriad of materials. Here we focus on amorphous polymeric materials and introduce a new…

In this paper, we consider the problem of distributed parameter estimation in sensor networks. Each sensor makes successive observations of an unknown $d$-dimensional parameter, which might be subject to Gaussian random noises. The sensors…

Signal Processing · Electrical Eng. & Systems 2025-01-20 Jiaqi Yan , Hideaki Ishii

This paper considers a bearings-only tracking problem using noisy measurements of unknown noise statistics from a passive sensor. It is assumed that the process and measurement noise follows the Gaussian distribution where the measurement…

Signal Processing · Electrical Eng. & Systems 2023-05-16 Shreya Das , Kundan Kumar , Shovan Bhaumik

We develop a computational framework to quantify uncertainty in shear elastography imaging of anomalies in tissues. We adopt a Bayesian inference formulation. Given the observed data, a forward model and their uncertainties, we find the…

Numerical Analysis · Mathematics 2023-06-07 Ana Carpio , Elena Cebrian , Andrea Gutierrez

This work presents the estimation of the parameters of an experimental setup, which is modeled as a system with three degrees of freedom, composed by a shaft, two rotors, and a DC motor, that emulates a drilling process. A Bayesian…

Methodology · Statistics 2021-07-29 Mario Germán Sandoval , Americo Cunha , Rubens Sampaio

A non-parametric complementary ensemble empirical mode decomposition (NPCEEMD) is proposed for identifying bearing defects using weak features. NPCEEMD is non-parametric because, unlike existing decomposition methods such as ensemble…

Signal Processing · Electrical Eng. & Systems 2023-10-03 Anil Kumar , Yaakoub Berrouche , Radosław Zimroz , Govind Vashishtha , Sumika Chauhan , C. P. Gandhi , Hesheng Tang , Jiawei Xiang

This paper proposes a hierarchical, multi-resolution framework for the identification of model parameters and their spatially variability from noisy measurements of the response or output. Such parameters are frequently encountered in…

Mathematical Physics · Physics 2015-05-13 P. S. Koutsourelakis

We investigate the use of neural networks (NNs) for the estimation of hidden model parameters and uncertainty quantification from noisy observational data for inverse parameter estimation problems. We formulate the parameter estimation as a…

Numerical Analysis · Mathematics 2025-10-17 German Villalobos , Johann Rudi , Andreas Mang

Quantum sensing harnesses the unique properties of quantum systems to enable precision measurements of physical quantities such as time, magnetic and electric fields, acceleration, and gravitational gradients well beyond the limits of…

Quantum Physics · Physics 2025-07-23 Ivana Nikoloska , Ruud Van Sloun , Osvaldo Simeone

Recent years have seen an increased interest in using mean-field density based modelling and control strategy for deploying robotic swarms. In this paper, we study how to dynamically deploy the robots subject to their physical constraints…

Systems and Control · Electrical Eng. & Systems 2022-10-04 Tongjia Zheng , Hai Lin

We show that density models describing multiple observables with (i) hard boundaries and (ii) dependence on external parameters may be created using an auto-regressive Gaussian mixture model. The model is designed to capture how observable…

Data Analysis, Statistics and Probability · Physics 2022-02-01 Stephen B. Menary , Darren D. Price

In this paper, we consider the problem of distributed parameter estimation in sensor networks. Each sensor makes successive observations of an unknown $d$-dimensional parameter, which might be subject to Gaussian random noises. They aim to…

Systems and Control · Electrical Eng. & Systems 2023-03-22 Jiaqi Yan , Hideaki Ishii

This work presents a methodology to estimate tire parameters and their uncertainty using a Bayesian optimization approach. The literature mainly considers the estimation of tire parameters but lacks an evaluation of the parameter…

Robotics · Computer Science 2025-04-30 Sven Goblirsch , Benedikt Ruhland , Johannes Betz , Markus Lienkamp

In networks of dynamic systems, one challenge is to identify the interconnection structure on the basis of measured signals. Inspired by a Bayesian approach in [1], in this paper, we explore a Bayesian model selection method for identifying…

Systems and Control · Computer Science 2019-03-18 Shengling Shi , Giulio Bottegal , Paul M. J. Van den Hof

Fitting a simplifying model with several parameters to real data of complex objects is a highly nontrivial task, but enables the possibility to get insights into the objects physics. Here, we present a method to infer the parameters of the…

Data Analysis, Statistics and Probability · Physics 2018-12-21 Johannes Oberpriller , T. A. Enßlin

High precision measurements are essential to solve major scientific and technological challenges, from gravitational wave detection to healthcare diagnostics. Quantum sensing delivers greater precision, but an in-depth optimisation of…

This paper addresses the problem of estimating the modes of an observed non-stationary mixture signal in the presence of an arbitrary distributed noise. A novel Bayesian model is introduced to estimate the model parameters from the…

Signal Processing · Electrical Eng. & Systems 2022-03-31 Quentin Legros , Dominique Fourer , Sylvain Meignen , Marcelo A. Colominas

We consider optimal sensor placement for hyper-parameterized linear Bayesian inverse problems, where the hyper-parameter characterizes nonlinear flexibilities in the forward model, and is considered for a range of possible values. This…

Numerical Analysis · Mathematics 2020-11-24 Nicole Aretz-Nellesen , Peng Chen , Martin A. Grepl , Karen Veroy

Bayesian inverse problems use observed data to update a prior probability distribution for an unknown state or parameter of a scientific system to a posterior distribution conditioned on the data. In many applications, the unknown parameter…

Numerical Analysis · Mathematics 2026-05-12 Josie König , Elizabeth Qian , Melina A. Freitag
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