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Page 16 of 33                          Liu et al. J Mater Inf 2024;4:33  https://dx.doi.org/10.20517/jmi.2024.48

               semiconductor properties and photocatalytic performance, facilitating a generalized performance prediction
               across various photocatalysts. Deep learning approaches leverage these diverse features to extract patterns
               from large datasets, aiding in identifying and optimizing the most promising candidate and enhancing the
               efficiency of photocatalyst design and application.


               Model construction and training
               The construction and training of deep learning models for photocatalyst design involve defining the model
               architecture, selecting relevant descriptors as input features, and optimizing the model parameters. Typical
               deep learning models with their features and applications are listed in Table 6. Traditional deep learning
               models, including deep neural networks (DNNs) , are widely used for classification and regression in
                                                          [115]
                                                                                [116]
               predicting photocatalytic properties. Convolutional neural networks (CNNs)  analyze spatial data, aiding
               in surface and structural characterization. Recurrent neural networks (RNNs)  and Long Short-Term
                                                                                   [117]
                              [118]
               Memory (LSTM)  handle time-series data, crucial for studying reaction kinetics. State-of-the-art models
                                                                                               [120]
                                  [119]
               such as transformers  capture complex dependencies using self-attention mechanisms . Shapley
               additive explanations (SHAP)  and Gradient-weighted class activation mapping (Grad-CAM)  improve
                                                                                                [122]
                                        [121]
                                                                                             [123]
               model interpretability by highlighting key features. Kolmogorov-Arnold networks (KANs)  are adept at
               modeling nonlinear systems, revealing insights into complex photocatalytic processes.
               Model validation and evaluation
               Model validation and evaluation are essential steps in ensuring the robustness and effectiveness of deep
               learning models in photocatalyst design. These processes verify predictive accuracy and generalization
               ability, ensuring alignment between model predictions and experimental data, while mitigating issues such
               as overfitting and underfitting . Key evaluation metrics include mean squared error (MSE) and root MSE
                                         [124]
               (RMSE), which quantify prediction errors, and R-squared (R²), which measures the proportion of variance
               explained by the model. Cross-validation and hold-out methods  are commonly used to partition datasets
                                                                     [125]
               into training and testing subsets, providing unbiased estimates of model performance.

               DEEP LEARNING APPROACHES IN PHOTOCATALYST DESIGN
               Building on the deep-learning-assisted workflow outlined in the previous section, deep learning techniques
               have profoundly transformed multiple facets of photocatalyst design. These approaches encompass six
               critical areas: novel photocatalyst discovery, microstructure design, property optimization, innovative
               methodologies, application exploration, and mechanistic insights into photocatalytic processes. The
               following sections provide a detailed examination of each area, illustrating how deep learning drives
               advancements in the design and development of high-performance photocatalysts.

               Discovery of novel photocatalysts
               Deep learning has revolutionized the discovery of novel photocatalysts by enabling the rapid screening of
               vast chemical spaces and predicting materials with superior photocatalytic properties. By leveraging data-
               driven models, deep learning accelerates the identification of candidates optimized for light absorption,
               charge separation, and photocatalytic efficiency, significantly reducing the time and resources required
               compared to traditional experimental approaches.


               A recent study  utilized machine learning to design perovskite oxide materials for photocatalytic water
                            [126]
               splitting, addressing the inefficiency of traditional trial-and-error methods in discovering new visible-light
               photocatalysts, as shown in Figure 7A. The study constructed structural-property models to predict
               hydrogen production rates and optimal bandgaps using algorithms such as gradient boosting regression
               (GBR), support vector regression (SVR), and backpropagation artificial neural networks (BPANN). The
               feature selection process began with an initial set of 24 features, comprising 18 atomic parameters and six
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