Submitted:
22 December 2023
Posted:
22 December 2023
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Abstract
Keywords:
1. Introduction
2. Spectral Feature Analysis and Spectral Feature Vector Construction
3. Spectral Eigenvector Classification Methods
is the hyperplane equation,
is the edge line equation for the positive region, and
is the edge line equation for the region with negative values.
evolutionary optimization of the formula is obtained:
:
, which ensures that all
constitute a distribution.
, and then the prediction set is as:
.
, the base learning algorithm
and the number of training rounds T.
is updated in the iteration:
is the threshold function, and f is the output.
is the weights in the linear combination, or the slope of the line. To facilitate the representation and computation of a large number of weights, they are generally represented as vectors or matrices.4. Experiments and the Results
4.1. Experimental Design of Aeroengine Spectral Measurement
4.2. Data Set Production and Spectral Feature Vectors Extraction
4.3. Assessment of the Accuracy of Classification Prediction Results
5. Conclusions
Author Contributions
Conflicts of Interest
References
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| Characteristic Peak Type | Emission Peak (cm−1) | Absorption Peak (cm−1) | ||
|---|---|---|---|---|
| Peak standard features | 2350 | 2390 | 719 | 667 |
| Characteristic peak range values | 2350.5-2348 | 2377-2392 | 722-718 | 666.7-670.5 |
| Name | Manufacturer | Measurement Pattern | Spectral Resolution (cm−1) | Spectral Measurement Range (μm) | Full Field of View Angle |
|---|---|---|---|---|---|
| EM27 | Bruker | Active / Passive | Active: 0.5 / 1 Passive: 0.5 / 1 / 4 | 2.5~12 | 30 mrad (no telescope) (1.7°) |
| Telemetry Fourier Transform Infrared Spectrometer | Aerospace Information Research Institute | Passive | 1 | 2.5~12 | 1.5° |
| Aeroengine Serial Number | Environmental Temperature | Environmental Humidity | Detection Distance |
|---|---|---|---|
| 1 | 30℃ | 43.5%Rh | 11.8m |
| 2 | 20℃ | 71.5%Rh | 5m |
| 3 | 19℃ | 73.5%Rh | 10m |
| Forecast results | |||
|---|---|---|---|
| Positive samples | Negative samples | ||
| Real results | Positive samples | TP | TN |
| Negative samples | FP | FN | |
| Evaluation criterion | Accuracy | Precision score | Recall | F1 | Confusion matrix |
Running time/s | |
|---|---|---|---|---|---|---|---|
| Classification methods | |||||||
| feature vectors+SVM | 98.04% | 98.77% | 97.78% | 98.22% | [2600] [ 0 10 0] [ 1 0 14] |
2.48 | |
| Feature vectors+XGBoost | 98.04% | 98.77% | 97.78% | 98.22% | [26 0 0] [ 0 10 0] [ 1 0 14] |
2.62 | |
| Feature vectors+CatBoost | 98.04% | 98.77% | 97.78% | 98.22% | [26 0 0] [ 0 10 0] [ 1 0 14] |
5.27 | |
| Feature vectors+AdaBoost | 98.04% | 98.77% | 97.78% | 98.22% | [26 0 0] [ 0 10 0] [ 1 0 14] |
2.91 | |
| Feature vectors+Random Forest | 98.04% | 98.77% | 97.78% | 98.22% | [26 0 0] [ 0 10 0] [ 1 0 14] |
3.09 | |
| Feature vectors+LightGBM | 96.08% | 96.38% | 96.38% | 96.38% | [26 0 1] [ 0 10 0] [ 1 0 13] |
2.63 | |
| Feature vectors+Neural Network s | 80.39% | 76.19% | 90.99% | 76.27% | [27 0 10] [ 0 10 0] [ 0 0 4] |
2.41 | |
| Method Order |
SVM | XGBoost | CatBoost | AdaBoost | Random Forest | LightGBM | Neural Networks |
|---|---|---|---|---|---|---|---|
| Average value | 97.17% | 97.74% | 98.13% | 98.00% | 98.32% | 98.07% | 74.52% |
| Variance | 0.06% | 0.04% | 0.03% | 0.04% | 0.03% | 0.02% | 1.84% |
| Standard deviation | 2.41% | 1.96% | 1.71% | 1.92% | 1.73% | 1.52% | 13.56% |
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