Neural posterior estimation for scalable and accurate inverse parameter inference in Li-ion batteries

Fuente: arXiv
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Autores principales: Hassanaly, Malik, Randall, Corey R., Weddle, Peter J., Gasper, Paul J., Kelly, Conlain, Tanim, Tanvir R., Smith, Kandler
Formato: Preprint
Publicado: 2026
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author Hassanaly, Malik
Randall, Corey R.
Weddle, Peter J.
Gasper, Paul J.
Kelly, Conlain
Tanim, Tanvir R.
Smith, Kandler
author_facet Hassanaly, Malik
Randall, Corey R.
Weddle, Peter J.
Gasper, Paul J.
Kelly, Conlain
Tanim, Tanvir R.
Smith, Kandler
contents Diagnosing the internal state of Li-ion batteries is critical for battery research, operation of real-world systems, and prognostic evaluation of remaining lifetime. By using physics-based models to perform probabilistic parameter estimation via Bayesian calibration, diagnostics can account for the uncertainty due to model fitness, data noise, and the observability of any given parameter. However, Bayesian calibration in Li-ion batteries using electrochemical data is computationally intensive even when using a fast surrogate in place of physics-based models, requiring many thousands of model evaluations. A fully amortized alternative is neural posterior estimation (NPE). NPE shifts the computational burden from the parameter estimation step to data generation and model training, reducing the parameter estimation time from minutes to milliseconds, enabling real-time applications. The present work shows that NPE calibrates parameters equally or more accurately than Bayesian calibration, and we demonstrate that the higher computational costs for data generation are tractable even in high-dimensional cases (ranging from 6 to 27 estimated parameters), but the NPE method can lead to higher voltage prediction errors. The NPE method also offers several interpretability advantages over Bayesian calibration, such as local parameter sensitivity to specific regions of the voltage curve. The NPE method is demonstrated using an experimental fast charge dataset, with parameter estimates validated against measurements of loss of lithium inventory and loss of active material. The implementation is made available in a companion repository (https://github.com/NatLabRockies/BatFIT).
format Preprint
id arxiv_https___arxiv_org_abs_2604_02520
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Neural posterior estimation for scalable and accurate inverse parameter inference in Li-ion batteries
Hassanaly, Malik
Randall, Corey R.
Weddle, Peter J.
Gasper, Paul J.
Kelly, Conlain
Tanim, Tanvir R.
Smith, Kandler
Data Analysis, Statistics and Probability
Machine Learning
Diagnosing the internal state of Li-ion batteries is critical for battery research, operation of real-world systems, and prognostic evaluation of remaining lifetime. By using physics-based models to perform probabilistic parameter estimation via Bayesian calibration, diagnostics can account for the uncertainty due to model fitness, data noise, and the observability of any given parameter. However, Bayesian calibration in Li-ion batteries using electrochemical data is computationally intensive even when using a fast surrogate in place of physics-based models, requiring many thousands of model evaluations. A fully amortized alternative is neural posterior estimation (NPE). NPE shifts the computational burden from the parameter estimation step to data generation and model training, reducing the parameter estimation time from minutes to milliseconds, enabling real-time applications. The present work shows that NPE calibrates parameters equally or more accurately than Bayesian calibration, and we demonstrate that the higher computational costs for data generation are tractable even in high-dimensional cases (ranging from 6 to 27 estimated parameters), but the NPE method can lead to higher voltage prediction errors. The NPE method also offers several interpretability advantages over Bayesian calibration, such as local parameter sensitivity to specific regions of the voltage curve. The NPE method is demonstrated using an experimental fast charge dataset, with parameter estimates validated against measurements of loss of lithium inventory and loss of active material. The implementation is made available in a companion repository (https://github.com/NatLabRockies/BatFIT).
title Neural posterior estimation for scalable and accurate inverse parameter inference in Li-ion batteries
topic Data Analysis, Statistics and Probability
Machine Learning
url https://arxiv.org/abs/2604.02520