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BattVAE-GP: Generative Modeling of Long-Horizon Battery Degradation with Uncertainty Quantification

Summary

A hybrid physics-probabilistic learning framework, BattVAE-GP, combines VAE and Gaussian processes to efficiently model lithium-ion battery degradation trajectories under varying charging rates, providing uncertainty quantification and reducing computational costs.

SourcearXiv Machine LearningAuthor: Raghvender Raghvender, Mahdi Abid, Ferran Brosa Planella, Charles Delacourt, Arnaud Demorti\`ere
BattVAE-GP: Generative Modeling of Long-Horizon Battery Degradation with Uncertainty Quantification
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[Submitted on 11 Jul 2026]

Title:BattVAE-GP: Generative Modeling of Long-Horizon Battery Degradation with Uncertainty Quantification

View a PDF of the paper titled BattVAE-GP: Generative Modeling of Long-Horizon Battery Degradation with Uncertainty Quantification, by Raghvender Raghvender and 4 other authors

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Abstract:Long-horizon physics-based simulations of battery degradation provide mechanistic insight but remain computationally expensive, limiting their use for dense exploration of operating conditions over extended cycle life. Here, we propose a hybrid physics-probabilistic learning framework for surrogate modeling of lithium-ion battery degradation trajectories at unseen charging rates. Cycle-resolved degradation data generated with a DFN/P2D electrochemical model in PyBaMM are first transformed into capacity-aligned voltage and derivative features and encoded using a Variational Autoencoder (VAE). The resulting two-dimensional latent space organizes degradation trajectories according to both cycle progression and charging protocol. A sparse multitask Gaussian process (GP) is then trained in this latent space using cycle number and C-rate as input variables, providing continuous interpolation of latent degradation dynamics together with posterior uncertainty estimates. Under protocol-level holdout evaluation, the latent-space GP accurately recovers unseen C-rate trajectories and exhibits uncertainty behavior consistent with the support of the training data. When queried at unseen interior C-rates, the model generates latent trajectories that remain coherently positioned between neighboring simulated protocols. Decoding the GP-predicted latent states through the frozen VAE decoder yields smooth voltage-capacity evolution, while Monte Carlo propagation of the GP latent posterior through an auxiliary latent to State of Health (SOH) predictor provides uncertainty-aware SOH estimates. The proposed BattVAE-GP framework therefore offers a computationally efficient and uncertainty-aware surrogate for long-horizon degradation modeling, providing a structured basis for extending battery health prediction toward richer operating conditions and future simulation-experiment fusion.

Comments: 17 pages, 9 figures

Subjects:

Machine Learning (cs.LG); Artificial Intelligence (cs.AI)

Cite as: arXiv:2607.11943 [cs.LG]

(or arXiv:2607.11943v1 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2607.11943

arXiv-issued DOI via DataCite

Submission history

From: Arnaud Demortiere Dr. [view email] [v1] Sat, 11 Jul 2026 09:48:36 UTC (12,891 KB)

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Key points

  • BattVAE-GP uses a VAE to encode cycle-resolved degradation data into a 2D latent space that organizes trajectories by cycle progression and charging protocol.
  • A sparse multitask Gaussian process trained in the latent space interpolates degradation dynamics across cycle number and C-rate, with posterior uncertainty estimates.
  • The framework accurately recovers degradation trajectories at unseen C-rates and provides uncertainty-aware State of Health predictions via Monte Carlo propagation.

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