A Stacking Ensemble Method Suitable for Small Sample Rock Fine Classification Tasks
Abstract
1. Introduction
2. Materials and Methods
2.1. Dataset
2.2. Multi-Scale Rock Image Feature Extraction Algorithm
2.2.1. Color Feature Extraction
- Gray Histogram Feature Extraction
- 2.
- RGB Channel Feature Extraction
- 3.
- HSV Channel Feature Extraction
2.2.2. Texture Feature Extraction
- (1)
- Grayscale Conversion: Image texture arises from the regular distribution of grayscale values. Therefore, the average of the three RGB components is taken as the single-channel grayscale value, and the grayscale-converted image serves as the subject of study.
- (2)
- Gray-level reduction: The number of gray levels and image size determine the computational load of the gray-level co-occurrence matrix. In practice, the gray level is set to 4.
- (3)
- Set sliding window: The sliding window in the grayscale co-occurrence matrix functions similarly to a convolution kernel in convolutional neural networks. It calculates the pixel value of a given point by taking the weighted average of surrounding pixel values, where the weights are determined by the distance between pixels.
- (4)
- Select stride: Choose 8 rings with radii of 1, 3, 5, 7, 9, 11, 13, and 15 pixels from the center point. The distance between each ring is one pixel. As the distance increases by one pixel, the accuracy of the grayscale co-occurrence matrix decreases.
- (5)
- Calculate Statistics: Nine features are statistically analyzed: variance, homogeneity, contrast, mean, correlation dissimilarity, angular second moment, entropy, energy, and autocorrelation [16]. The primary statistics are entropy, angular second moment, and autocorrelation.
2.2.3. Grain Size Feature Extraction
2.3. Correlation Analysis of Rock Image Features
2.4. Rock Image Feature Dimension Reduction Algorithm Model
2.5. Base Learners
2.6. Stacking Model
2.7. Parameter Optimization Algorithms
2.8. Stacking Model Based on Whale Optimization Algorithm
- (1)
- Base Learner Selection: The first layer of training models forms the foundation of Stacking. The quality of submodels directly impacts Stacking accuracy. Therefore, four robust algorithmic models—RF, KNN, NBM, and SVM—are selected.
- (2)
- Concurrent Learning: Each of the four models (RF, KNN, NBM, SVM) undergoes 10-fold cross-validation. The Whale Optimization Algorithm (WOA) performs global optimization of key hyperparameters for these base learners, including maximum tree depth for RF, kernel type and penalty coefficient for SVM, to minimize overfitting.
- (3)
- Selection of Meta-Learners: The second layer fuses predictions from the first layer’s strong learners. Employing weak learners prevents overall model overfitting, with LR serving as the primary algorithm model.
- (4)
- Model Structure Determination: Based on the preceding steps, a two-layer algorithmic model is established. By integrating different algorithms into an ensemble network, the final rock intelligence recognition model structure is constructed using the Stacking ensemble method.
- (5)
- Derive Results: Use the training results from Step 2’s strong learners as input data for the meta-learner. Treat the rock categories in the original sample data as the output set. Train to obtain the weight assigned to each strong learner, then output the final prediction through a linear combination.
3. Experimental Simulation
3.1. Experimental Platform and Dataset Preprocessing
3.2. Multi-Dimensional Feature Extraction
3.2.1. Adding Color Features
3.2.2. Adding Texture Features
3.2.3. Adding Graininess Features
3.3. Feature Correlation Validation
- We conducted a systematic correlation analysis on the final 10 selected features, calculating the average correlation between each feature and the others. The mean correlation among these 10 features was 0.3371, with a standard deviation of 0.1498. This maintains necessary discriminative information while effectively avoiding multicollinearity issues, ensuring the scientific rigor and validity of feature selection.
- Balanced Feature Types: Three color features (30%), six texture features (60%), and one grain size feature (10%). This distribution reflects the dominant role of texture features in rock classification while ensuring feature diversity.
- Distinct Clustering: The heatmap reveals features naturally grouping into three primary clusters corresponding to color, texture, and grain size features, validating the rationality of the feature extraction method.
3.4. Feature Dimension Reduction
3.5. Experimental Results and Analysis
3.6. Error and Analysis
3.7. Statistical Test
3.7.1. ANOVA Test Results
3.7.2. Tukey HSD Post-Hoc Test Results
4. Conclusions
- Multi-Dimensional Feature Extraction Framework
- 2.
- WOA-Optimized Stacking Ensemble Model
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
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| References | Method | Experimental Cases | Model Output | Limitations |
|---|---|---|---|---|
| Zhang Ye et al. (2018) [16] | Deep learning transfer model based on Inception-v3 | 173 granite, 152 phyllite, and 246 breccia images | Training set classification accuracy exceeding 90%; test set accuracy after retraining above 85% | Limited to three rock types (granite, phyllite, breccia) with distinct features; insufficient category diversity |
| Bai Lin et al. (2019) [17] | Rock thin-section image classification method based on the VGG model | Trained 90,000 iterations on six rock thin-section image categories (e.g., andesite, dolomite; 1000 images per class) | Achieved 82% accuracy on the test set; successfully extracted features such as plagioclase in andesite and oolitic grains in oolitic limestone | Prone to misclassification of compositionally similar rocks and exhibits lower accuracy for highly heterogeneous samples |
| Xu Zhenhao et al. (2021) [18] | Improved YOLOv8 deep learning network (FS_YOLOv8) | Applied to instance segmentation of ground cracks in coal mining areas using UAV imagery | Enhanced mAP@0.5 and mAP@0.95 by 7.9% and 12.6%, respectively, achieving high precision and recall | Designed solely for ground crack segmentation in coal mining areas; limited applicability to broader geological targets |
| Cheng Guojian et al. (2021) [19] | SlimSqueeze lightweight convolutional neural network | 10,026 feldspathic sandstone images from an oilfield region in Ordos Basin | Maximum classification accuracy of 90.88%; model size only 4.78 MB | Requires 10,026 training images, indicating substantial data demand |
| Zhang Chaoqun et al. (2022) [20] | MyNet neural network model | Expanded 314 rock samples to 28,272 via data augmentation for small-sample classification | Achieved an overall accuracy of 75.6% | Overall accuracy remains improvable; generalization performance across more lithologies and complex environments remains uncertain |
| Tan Yongjian et al. (2022) [21] | Rock image classification method based on Xception network combined with transfer learning | Conducted classification on a ten-class rock dataset | Achieved an overall accuracy of 86% | Limited capability in distinguishing highly similar tuff subtypes, leading to suboptimal recognition results |
| Yuan Shuo (2023) [22] | 4 deep learning networks for rock image classification; improved ShuffleNetV2 (adding ECA attention, etc.) | A total of 4829 images of 5 types of rocks, with the test set accounting for 30% | The accuracy of the original ShuffleNetV2 was 91.08%, and the improved one reached 95.44% | MobileNetV2 had the lowest accuracy; the improved model did not clarify its adaptability to practical scenarios |
| Ren Shujie et al. (2024) [23] | Sandstone micro-component identification method based on the Faster R-CNN object detection algorithm | Identification of three components—quartz, feldspar, and lithic fragments—in sandstone thin sections under cross-polarized light | Achieved an average recognition accuracy of 89.28% | Dataset size is limited; generalization under non-cross-polarized conditions or across more sandstone types remains unverified |
| Guo Jingwei (2024) [24] | FPAE-Net and APBS-Net | Custom rock dataset and public fine-grained datasets (e.g., CUB-200-2011) | Achieved excellent classification accuracy across multiple datasets | FPAE-Net exhibits high memory consumption and complex architecture |
| Han Xinhao (2024) [3] | YOLOv7 integrated with an improved Swin Transformer | Self-constructed dataset of 1467 rock images from 20 lithological categories (including pyroxenite and komatiite) | Outperformed benchmark models such as Faster-RCNN, YOLOv4, and YOLOv5 | Model architecture remains complex and requires further simplification for field deployment |
| Zhou et al. (2024) [25] | Hybrid expert model | 11,370 rock thin-section images | Produced rock classification outcomes | Model performance heavily depends on large-scale rock image datasets for effective training |
| He Luhao et al. (2025) [26] | YOLOv8-seg model incorporating multiple loss functions (e.g., box_loss, seg_loss) | Trained on seven rock types including basalt and granite | Achieved high segmentation accuracy and strong recognition performance in real-world scenarios | Exhibits limited discriminative power for rocks with highly similar color and texture features (e.g., quartzite, marble) |
| Rock Type | Particle Size Range/mm |
|---|---|
| Coal | 0~50 |
| Mudstone | 0~0.0039 |
| Argillaceous Siltstone | 0.0039~0.0625 |
| Fine Sandstone | 0.0625~0.25 |
| Algorithm | Advantages | Disadvantages |
|---|---|---|
| RF | High robustness and generalization, no feature selection, fast training, parallel processing. | Poor model interpretation, possible similar decision trees, high memory consumption. |
| KNN | Suitable for dynamic updating of training data, insensitive to outliers, robust, no need for complex training process. | Slow prediction, complex parameter tuning, performance degradation with high dimensional data. |
| NBM | Extremely fast training, suitable for high dimensional data, performs well for small data sizes, low computational complexity. | Difficult to ensure feature independence, sensitive to input data distribution, weak generalization ability. |
| SVM | Suitable for handling high-dimensional and non-linear data with good generalization ability. | Sensitive to noise, difficult selection of kernel function and parameters, slow training on large-scale data, high memory usage. |
| Rock Type | Original Sample Size (Sheets) | Sample Size after Data Enhancement (Sheets) |
|---|---|---|
| Dark Gray Mudstone | 30 | 100 |
| Black Coal | 21 | 100 |
| Gray Fine Sandstone | 18 | 100 |
| Light Gray Fine Sandstone | 85 | 100 |
| Dark Gray Silty Mudstone | 40 | 100 |
| Grayish black mudstone | 75 | 100 |
| Gray Argillaceous Siltstone | 46 | 100 |
| Statistical Metric | Value |
|---|---|
| Maximum Average Correlation | 0.7410 |
| Minimum Average Correlation | 0.2149 |
| Mean of Average Correlation | 0.3371 |
| Standard Deviation of Average Correlation | 0.1498 |
| Intra-group Average Correlation for Color Features | 0.2661 |
| Intra-group average correlation for texture features | 0.3726 |
| Feature | Average Correlation | Feature | Average Correlation |
|---|---|---|---|
| Texture_SumAvg | 0.7410 | Texture_Entropy | 0.2562 |
| Texture_Contrast | 0.4557 | Texture_Dissimilarity | 0.2547 |
| Particle_Average_Granularity | 0.3370 | Gray_Bin1 | 0.2502 |
| Hue_Bright | 0.3333 | Texture_ASM | 0.2411 |
| Texture_Variance | 0.2869 | Red_Bright | 0.2149 |
| RF | KNN | NBM | SVM | Stacking | |
|---|---|---|---|---|---|
| Dark Gray Mudstone | 61.99% | 64.53% | 60.05% | 70.99% | 74.25% |
| Black Coal | 91.11% | 85.35% | 91.91% | 88.86% | 97.16% |
| Gray Fine Sandstone | 85.97% | 84.97% | 91.29% | 91.24% | 93.33% |
| Light Gray Fine Sandstone | 78.68% | 65.39% | 73.65% | 65.08% | 82.65% |
| Dark Gray Silty Mudstone | 74.86% | 80.02% | 73.15% | 77.62% | 81.21% |
| Grayish black mudstone | 85.23% | 79.67% | 82.63% | 82.06% | 87.16% |
| Gray Argillaceous Siltstone | 69.16% | 77.45% | 77.69% | 73.42% | 82.12% |
| Average | 78.14% | 76.77% | 78.62% | 78.47% | 85.41% |
| Model | Accuracy (%) | Precision (%) | Recall (%) | F1 (%) | Std. of F1 (%) |
|---|---|---|---|---|---|
| Stacking | 85.41 | 84.92 | 85.17 | 85.04 | 1.28 |
| NBM | 78.62 | 78.05 | 78.23 | 78.14 | 1.76 |
| SVM | 78.47 | 77.91 | 78.08 | 77.99 | 1.82 |
| RF | 78.14 | 77.36 | 77.52 | 77.44 | 1.85 |
| KNN | 76.77 | 75.92 | 76.11 | 76.01 | 2.14 |
| Rock Category | F1-Score (%) | Error Source Analysis |
|---|---|---|
| Dark Gray Mudstone | 73.52 | High similarity to dark gray silty mudstone |
| Black Coal | 96.52 | Distinct color/texture (low inter-class similarity) |
| Gray Fine Sandstone | 92.48 | Clear grain size features |
| Light Gray Fine Sandstone | 82.48 | Confusion with gray fine sandstone due to similar granularity and color |
| Dark Gray Silty Mudstone | 81.06 | Partial overlap with gray fine sandstone texture |
| Grayish black mudstone | 86.98 | Confusion with dark gray mudstone (similar color) |
| Gray Argillaceous Siltstone | 82.24 | Fine grain size leads to blurred texture features |
| Test Metric | F-Statistic | p-Value | Significance ( = 0.05) | Interpretation |
|---|---|---|---|---|
| F1 | 42.87 | <0.0001 | Significant | Model performance differences are not random |
| Model Pair | Mean Difference (F1) | 95% Confidence Interval | p-Value | Significance |
|---|---|---|---|---|
| Stacking vs. NBM | 6.84 | [5.42, 8.26] | <0.0001 | Significant |
| Stacking vs. SVM | 7.08 | [5.65, 8.51] | <0.0001 | Significant |
| Stacking vs. RF | 7.72 | [6.30, 9.14] | <0.0001 | Significant |
| Stacking vs. KNN | 9.10 | [7.67, 10.53] | <0.0001 | Significant |
| NBM vs. SVM | 0.24 | [−1.18, 1.66] | 0.893 | Not Significant |
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Yang, S.-C.; Yang, Z.; Chen, Z.-Y.; Zhang, Y.-B.; Dai, Y.-X.; Zhou, X. A Stacking Ensemble Method Suitable for Small Sample Rock Fine Classification Tasks. Processes 2025, 13, 3653. https://doi.org/10.3390/pr13113653
Yang S-C, Yang Z, Chen Z-Y, Zhang Y-B, Dai Y-X, Zhou X. A Stacking Ensemble Method Suitable for Small Sample Rock Fine Classification Tasks. Processes. 2025; 13(11):3653. https://doi.org/10.3390/pr13113653
Chicago/Turabian StyleYang, Shi-Chao, Zhen Yang, Zhi-Yuan Chen, Yan-Bo Zhang, Ya-Xun Dai, and Xu Zhou. 2025. "A Stacking Ensemble Method Suitable for Small Sample Rock Fine Classification Tasks" Processes 13, no. 11: 3653. https://doi.org/10.3390/pr13113653
APA StyleYang, S.-C., Yang, Z., Chen, Z.-Y., Zhang, Y.-B., Dai, Y.-X., & Zhou, X. (2025). A Stacking Ensemble Method Suitable for Small Sample Rock Fine Classification Tasks. Processes, 13(11), 3653. https://doi.org/10.3390/pr13113653

