Publication date: 11th March 2026
Correctly selecting an equivalent circuit (EC) from electrochemical impedance spectroscopy (EIS) data is a key step in understanding charge transport, recombination, and diffusion in perovskite and related electronic materials. In practice, this task is often non-trivial because different physical processes can produce very similar impedance signatures, especially in the presence of experimental noise. In this work, we propose a machine learning-based approach for the automatic identification of 15 physically meaningful EC models covering a wide range of transport and diffusion behaviors. To train and benchmark the models, a large synthetic dataset consisting of 150,000 EIS spectra was constructed, where each spectrum was represented by 242 features derived from the real and imaginary impedance components across a broad frequency window, with frequency-dependent noise added to resemble experimental conditions.
Both deep learning and classical machine learning methods were explored. A one-dimensional convolutional neural network achieved an overall accuracy of 83.22% (macro F1-score of 0.83) and was able to capture local spectral trends, but its performance degraded for ECs with strongly overlapping Nyquist features, particularly those dominated by low-frequency diffusion. In contrast, tree-based models showed markedly better robustness. Among them, XGBoost delivered the highest accuracy of 95.24% with an F1-score of 0.95, followed closely by Random Forest with 93.80% accuracy. Detailed class-wise analysis indicated excellent recognition of circuits containing multiple time constants, while most errors arose from subtle overlaps between structurally similar semicircular arcs.
These results indicate that gradient-boosted tree models are especially well suited for high-dimensional EIS classification when physically informed features are used. The analysis also suggests that combining CNN-based feature extraction with XGBoost classification could further improve performance beyond 97%. To assess practical applicability, the framework was validated using experimentally measured EIS data from MAPbBr3 single crystals grown by inverse temperature crystallization and measured under different applied biases. The XGBoost model consistently identified physically reasonable ECs, enabling stable fitting and reliable Mott-Schottky analysis, thereby confirming the effectiveness of the proposed ML-assisted strategy for experimental impedance studies.
