Explainable Functional Relation Discovery for Battery State-of-Health Using Kolmogorov-Arnold Network

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Hauptverfasser: Ghosh, Sanchita, Roy, Tanushree
Format: Preprint
Veröffentlicht: 2026
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author Ghosh, Sanchita
Roy, Tanushree
author_facet Ghosh, Sanchita
Roy, Tanushree
contents Battery health management is heavily dependent on reliable State-of-Health (SoH) estimation to ensure battery safety with maximized energy utilization. Although SoH estimation can effectively track battery degradation, it requires continuous battery data acquisition. In addition, model-based SoH estimation methods rely on accurate battery model knowledge, whereas data-driven approaches often suffer from limited interpretability. In contrast, analytical characterization of SoH will offer a direct and tractable handle on battery performance degradation, while also establishing a foundation for further analytical studies toward effective battery health management. Thus, in this work, we propose a Kolmogorov Arnold Network (KAN)-based data-driven pipeline to establish a functional relationship for SoH degradation using battery temperature data. Specifically, we learn long-term battery thermal dynamics and battery heat generation via learnable activation functions of our KAN model. We utilize the learned mapping to obtain an explicit functional relationship between SoH degradation and cycle number. The proposed pipeline was validated using real-world data, yielding a closed-form analytical formula of SoH degradation with high accuracy.
format Preprint
id arxiv_https___arxiv_org_abs_2604_00400
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Explainable Functional Relation Discovery for Battery State-of-Health Using Kolmogorov-Arnold Network
Ghosh, Sanchita
Roy, Tanushree
Systems and Control
Battery health management is heavily dependent on reliable State-of-Health (SoH) estimation to ensure battery safety with maximized energy utilization. Although SoH estimation can effectively track battery degradation, it requires continuous battery data acquisition. In addition, model-based SoH estimation methods rely on accurate battery model knowledge, whereas data-driven approaches often suffer from limited interpretability. In contrast, analytical characterization of SoH will offer a direct and tractable handle on battery performance degradation, while also establishing a foundation for further analytical studies toward effective battery health management. Thus, in this work, we propose a Kolmogorov Arnold Network (KAN)-based data-driven pipeline to establish a functional relationship for SoH degradation using battery temperature data. Specifically, we learn long-term battery thermal dynamics and battery heat generation via learnable activation functions of our KAN model. We utilize the learned mapping to obtain an explicit functional relationship between SoH degradation and cycle number. The proposed pipeline was validated using real-world data, yielding a closed-form analytical formula of SoH degradation with high accuracy.
title Explainable Functional Relation Discovery for Battery State-of-Health Using Kolmogorov-Arnold Network
topic Systems and Control
url https://arxiv.org/abs/2604.00400