Chinese Optics, Volume. 18, Issue 2, 207(2025)
Recognition method for vortex beams orbital angular momentum with imbalanced label
Figures & Tables(8)
Fig. 3. Comparison of the RMSE of the proposed method and other methods
Fig. 4. Comparison of the G-mean of the proposed method and other methods
Fig. 5. Comparison of the ROC curves of the proposed method and other methods
Table 1. Pseudocode of proposed method
View tableView in ArticleTable 1. Pseudocode of proposed method
（1）数据生成阶段，根据式（11）进行重采样；（2）if(样本数目<平均样本数目)；（3） 根据式（12）计算马氏距离；添加新样本到样本集合中sample=[sample s]；（4）end；（5）利用多层ELM网络构建特征向量与OAM标签关系；（6）初始化目标函数并根据式（15）制定最优准则；（7）计算Lipschitz条件的近似函数；（8）利用FISTA迭代求解每一层输出权重；（9）利用式（19）计算综合权重；（10）返回输出层权重的解析解 $ {{\boldsymbol{\beta }}_j} $ 和OAM模态估计值。
Table 2. Confusion matrix
Table 3. Ablation experiment
View tableView in ArticleTable 3. Ablation experiment
深度ELM SMOTE-DELM $ C_n^2 = {10^{ - 14}} $ 0.2552 0.2049 $ C_n^2 = {10^{ - 15}} $ 0.0924 0.0894
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Hai-yang YU, Fan-hua SHANG, Yu-xing WANG, Da-tao WANG, Chun-yi CHEN. Recognition method for vortex beams orbital angular momentum with imbalanced label[J]. Chinese Optics, 2025, 18(2): 207
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Received: Sep. 2, 2024
Accepted: Oct. 29, 2024
Published Online: May. 19, 2025
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