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We address the problem of estimating the uncertainty in the solution of power grid inverse problems within the framework of Bayesian inference. We investigate two approaches, an adjoint-based method and a stochastic spectral method. These…

Optimization and Control · Mathematics 2016-02-15 Noemi Petra , Cosmin G. Petra , Zheng Zhang , Emil M. Constantinescu , Mihai Anitescu

The rapid spread of Lithium-ions batteries (LiBs) for electric vehicles calls for the development of accurate physical models for Battery Management Systems (BMSs). In this work, the electrochemical Single Particle Model (SPM) for a…

Systems and Control · Electrical Eng. & Systems 2023-11-30 Andrea Trivella , Matteo Corno , Stefano Radrizzani , Sergio M. Savaresi

All solid state batteries are claimed to be the next-generation battery system, in view of their safety accompanied by high energy densities. A new advanced, multiscale compatible, and fully three dimensional model for solid electrolytes is…

Applied Physics · Physics 2022-03-15 L. Cabras , D. Danilov , W. Subber , V. Oancea , A. Salvadori

Accurate estimation of the internal states of lithium-ion batteries is key towards improving their management for safety, efficiency and longevity purposes. Various approaches exist in the literature in this context, among which designing…

Systems and Control · Electrical Eng. & Systems 2023-08-21 Mira Khalil , Romain Postoyan , Stéphane Raël

Bayesian estimation is a powerful theoretical paradigm for the operation of quantum sensors. However, the Bayesian method for statistical inference generally suffers from demanding calibration requirements that have so far restricted its…

Quantum Physics · Physics 2021-09-22 Samuel P. Nolan , Augusto Smerzi , Luca Pezzè

The Single-Particle Model (SPM) of Li ion cell \cite{Santhanagopalan06, Guo2011} is a computationally efficient and fairly accurate model for simulating Li ion cell cycling behavior at weak to moderate currents. The model depends on a large…

Computational Physics · Physics 2019-12-13 Michael Khasin , Chetan S. Kulkarni , Kai Goebel

The unified 3D phase-field model for the description of the lithium-ion cell as a whole is developed. The model takes into account the realistic distribution of particles in porous electrodes, percolative transport of ions, and the…

Disordered Systems and Neural Networks · Physics 2021-05-11 Pavel E. L'vov , Mikhail Yu. Tikhonchev , Renat T. Sibatov

Parameter identification for electrochemical battery models has always been challenging due to the multitude of parameters involved, most of which cannot be directly measured. This paper evaluates the efficiency and optimality of three…

Systems and Control · Electrical Eng. & Systems 2025-11-04 Feng Guo , Luis D. Couto , Guillaume Thenaisie

This paper introduces a novel Bayesian approach to detect changes in the variance of a Gaussian sequence model, focusing on quantifying the uncertainty in the change point locations and providing a scalable algorithm for inference. Such a…

Methodology · Statistics 2025-03-04 Lorenzo Cappello , Oscar Hernan Madrid Padilla

Lithium ion batteries are attracting significant and growing interest, because their high energy and high power density render them an excellent option for energy storage, particularly in hybrid and electric vehicles. In this brief, a…

Systems and Control · Computer Science 2018-05-18 Rishi Relan , Yousef Firouz , Jean-Marc Timmermans , Johan Schoukens

Statistical models typically capture uncertainties in our knowledge of the corresponding real-world processes, however, it is less common for this uncertainty specification to capture uncertainty surrounding the values of the inputs to the…

Methodology · Statistics 2023-05-10 Samuel E. Jackson , David C. Woods

A method for sequential Bayesian inference of the static parameters of a dynamic state space model is proposed. The method is based on the observation that many dynamic state space models have a relatively small number of static parameters…

Computation · Statistics 2017-06-28 Arnab Bhattacharya , Simon Wilson

To accurately reproduce measurements from the real world, simulators need to have an adequate model of the physical system and require the parameters of the model be identified. We address the latter problem of estimating parameters through…

Robotics · Computer Science 2022-03-01 Eric Heiden , Christopher E. Denniston , David Millard , Fabio Ramos , Gaurav S. Sukhatme

Heterogeneity is a dominant factor in the behaviour of many biological processes. Despite this, it is common for mathematical and statistical analyses to ignore biological heterogeneity as a source of variability in experimental data.…

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

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

An understanding of how input parameter uncertainty in the numerical simulation of physical models leads to simulation output uncertainty is a challenging task. Common methods for quantifying output uncertainty, such as performing a grid or…

Materials Science · Physics 2023-09-25 Samuel G. McCallum , James E. Lerpiniére , Kjeld O. Jensen , Alison B. Walker

This work presents a comparative study of optimization techniques for parameter identification in equivalent electrical models of lithium-ion batteries. The 2RC model is applied to a set of twelve batteries using four publicly available…

Optimization and Control · Mathematics 2025-12-03 Johan Sebastian Suarez Sepúlveda , Edgar Hernando Sepúlveda-Oviedo , Bruno Jammes , Corinne Alonso

Non-invasive estimation of Li-ion battery state-of-health from operational data is valuable for battery applications, but remains challenging. Pure model-based methods may suffer from inaccuracy and long-term instability of parameter…

Systems and Control · Electrical Eng. & Systems 2025-07-01 Zihao Zhou , Antti Aitio , David Howey

A Bayesian model of the emission spectrum of the JET lithium beam has been developed to infer the intensity of the Li I (2p-2s) line radiation and associated uncertainties. The detected spectrum for each channel of the lithium beam emission…

Plasma Physics · Physics 2025-03-03 Sehyun Kwak , J. Svensson , M. Brix , Y. -c. Ghim , JET Contributors
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