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Bayesian optimization is a sequential method for minimizing objective functions that are expensive to evaluate and about which few assumptions can be made. By using all gathered data to train a Gaussian process model for the function and…

Machine Learning · Computer Science 2026-05-07 Jesse Schneider , William J. Welch

This paper deals with the identification of linear stochastic dynamical systems, where the unknowns include system coefficients and noise variances. Conventional approaches that rely on the maximum likelihood estimation (MLE) require…

Machine Learning · Statistics 2025-08-18 Jinwen Xu , Qin Lu , Yaakov Bar-Shalom

System identification remains an intriguing challenge for lithium-ion batteries, as many models are nonlinear, exhibit multi-physics coupling, and involve a large number of parameters. In this paper, we address this challenge using the…

Systems and Control · Electrical Eng. & Systems 2026-05-26 Farzaneh Barat , Sara Wilson , Huijeong Kim , Huazhen Fang

Early degradation prediction of lithium-ion batteries is crucial for ensuring safety and preventing unexpected failure in manufacturing and diagnostic processes. Long-term capacity trajectory predictions can fail due to cumulative errors…

Signal Processing · Electrical Eng. & Systems 2023-04-03 Seongyoon Kim , Hangsoon Jung , Minho Lee , Yun Young Choi , Jung-Il Choi

Accurate electrochemical models are essential for the safe and efficient operation of lithium-ion batteries in real-world applications such as electrified vehicles and grid storage. Reduced-order models (ROM) offer a balance between…

Systems and Control · Electrical Eng. & Systems 2025-07-02 Samuel Filgueira da Silva , Mehmet Fatih Ozkan , Faissal El Idrissi , Marcello Canova

Parameter estimation is crucial for modeling, tracking, and control of complex dynamical systems. However, parameter uncertainties can compromise system performance under a controller relying on nominal parameter values. Typically,…

Robotics · Computer Science 2020-02-20 Mouhyemen Khan , Abhijit Chatterjee

In this paper, we employ Bayesian optimization to concurrently explore the optimal values for both the shape parameter and the radius in the partition of unity interpolation using radial basis functions. Bayesian optimization is a…

Numerical Analysis · Mathematics 2023-11-09 Roberto Cavoretto , Alessandra De Rossi , Sandro Lancellotti , Federico Romaniello

High-precision measurements require optimal setups and analysis tools to achieve continuous improvements. Systematic corrections need to be modeled with high accuracy and known uncertainty to reconstruct underlying physical phenomena. To…

Data Analysis, Statistics and Probability · Physics 2022-05-31 Max Lamparth , Mattis Bestehorn , Bastian Märkisch

Battery health monitoring and prediction are critically important in the era of electric mobility with a huge impact on safety, sustainability, and economic aspects. Existing research often focuses on prediction accuracy but tends to…

Machine Learning · Computer Science 2024-04-24 Yunyi Zhao , Zhang Wei , Qingyu Yan , Man-Fai Ng , B. Sivaneasan , Cheng Xiang

The optimization of the electrodes manufacturing process constitutes one of the most critical steps to ensure high-quality Lithium-Ion Battery (LIB) cells, in particular for automotive applications. Because LIB electrode manufacturing is a…

Non-destructive characterization of lithium-ion batteries provides critical insights for optimizing performance and lifespan while preserving structural integrity. Optimizing electrolyte design in commercial LIBs requires consideration of…

In this paper the authors study a non-linear elliptic-parabolic system, which is motivated by mathematical models for lithium-ion batteries. One state satisfies a parabolic reaction diffusion equation and the other one an elliptic equation.…

Numerical Analysis · Mathematics 2023-08-02 Behzad Azmi , Andrea Petrocchi , Stefan Volkwein

Accurately predicting the lifespan of lithium-ion batteries is crucial for optimizing operational strategies and mitigating risks. While numerous studies have aimed at predicting battery lifespan, few have examined the interpretability of…

Machine Learning · Computer Science 2024-04-12 Jaewook Lee , Seongmin Heo , Jay H. Lee

Physics-based electrochemical battery models derived from porous electrode theory are a very powerful tool for understanding lithium-ion batteries, as well as for improving their design and management. Different model fidelity, and thus…

Bayesian models often involve a small set of hyperparameters determined by maximizing the marginal likelihood. Bayesian optimization is a popular iterative method where a Gaussian process posterior of the underlying function is sequentially…

Computation · Statistics 2022-08-18 Oskar Gustafsson , Mattias Villani , Pär Stockhammar

Batteries are nonlinear dynamical systems that can be modeled by Porous Electrode Theory models. The aim of optimal fast charging is to reduce the charging time while keeping battery degradation low. Most past studies assume that model…

Systems and Control · Electrical Eng. & Systems 2024-10-14 Minsu Kim , Joachim Schaeffer , Marc D. Berliner , Berta Pedret Sagnier , Rolf Findeisen , Richard D. Braatz

Lithium-ion batteries are widely used in transportation, energy storage, and consumer electronics, driving the need for reliable battery management systems (BMS) for state estimation and control. The Single Particle Model (SPM) balances…

Systems and Control · Electrical Eng. & Systems 2025-05-28 Feng Guo , Luis D. Couto

Electrochemical impedance spectroscopy (EIS) is the most informative diagnostic for lithium-ion batteries: its frequency-resolved spectra decompose cell behavior into distinct electrochemical processes, revealing mechanism-specific…

Systems and Control · Electrical Eng. & Systems 2026-05-18 Shafayeth Jamil , Rehan Kapadia

The power system of the future will be governed by complex interactions and non-linear phenomena at small time-scales, that should be studied more and more through computationally expensive software simulations. To solve the abovementioned…

Systems and Control · Electrical Eng. & Systems 2025-02-26 Marius Kuhn , Evelyn Heylen , Willem Leterme

The design of informatively rich input signals is essential for accurate system identification, yet classical Fisher-information-based methods are inherently local and often inadequate in the presence of significant model uncertainty and…

Statistics Theory · Mathematics 2025-12-15 Piotr Bania , Anna Wójcik
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