Journal of Computer Applications ›› 2026, Vol. 46 ›› Issue (5): 1482-1489.DOI: 10.11772/j.issn.1001-9081.2025050567
• Data science and technology • Previous Articles
Xipei TAO1, Hengrong JU1,2(
), Xiaoxue FAN1, Xiaoyang ZOU1, Weiping DING1
Received:2025-05-22
Revised:2025-06-19
Accepted:2025-06-26
Online:2025-07-08
Published:2026-05-10
Contact:
Hengrong JU
About author:TAO Xipei, born in 2001, M. S. candidate. His research interests include granular computing, rough set.Supported by:
陶西沛1, 鞠恒荣1,2(
), 樊晓雪1, 邹晓阳1, 丁卫平1
通讯作者:
鞠恒荣
作者简介:陶西沛(2001—),男,江苏连云港人,硕士研究生,主要研究方向:粒计算、粗糙集基金资助:CLC Number:
Xipei TAO, Hengrong JU, Xiaoxue FAN, Xiaoyang ZOU, Weiping DING. Distributed multi-label feature selection method with feature-label neighborhood collaborative correlation[J]. Journal of Computer Applications, 2026, 46(5): 1482-1489.
陶西沛, 鞠恒荣, 樊晓雪, 邹晓阳, 丁卫平. 特征-标记邻域协同相关的分布式多标记特征选择方法[J]. 《计算机应用》唯一官方网站, 2026, 46(5): 1482-1489.
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URL: https://www.joca.cn/EN/10.11772/j.issn.1001-9081.2025050567
| U | a1 | a2 | a3 | a4 | a5 | l1 | l2 | l3 | l4 | l5 |
|---|---|---|---|---|---|---|---|---|---|---|
| x1 | 0.57 | 0.61 | 0.21 | 0.32 | 0.42 | 1 | 1 | 0 | 1 | 0 |
| x2 | 0.48 | 0.42 | 0.33 | 0.01 | 0.71 | 1 | 1 | 0 | 0 | 0 |
| x3 | 0.35 | 0.42 | 0.27 | 0.59 | 0.63 | 0 | 0 | 1 | 0 | 1 |
| x4 | 0.29 | 0.57 | 0.60 | 0.98 | 0.42 | 0 | 0 | 1 | 1 | 1 |
| x5 | 0.18 | 0.70 | 0.47 | 0.51 | 0.57 | 1 | 1 | 0 | 1 | 0 |
| x6 | 0.35 | 0.85 | 0.43 | 0.59 | 0.90 | 1 | 1 | 1 | 0 | 1 |
| x7 | 0.26 | 0.20 | 0.31 | 0.93 | 0.56 | 1 | 0 | 1 | 0 | 1 |
Tab. 1 Multi-label examples
| U | a1 | a2 | a3 | a4 | a5 | l1 | l2 | l3 | l4 | l5 |
|---|---|---|---|---|---|---|---|---|---|---|
| x1 | 0.57 | 0.61 | 0.21 | 0.32 | 0.42 | 1 | 1 | 0 | 1 | 0 |
| x2 | 0.48 | 0.42 | 0.33 | 0.01 | 0.71 | 1 | 1 | 0 | 0 | 0 |
| x3 | 0.35 | 0.42 | 0.27 | 0.59 | 0.63 | 0 | 0 | 1 | 0 | 1 |
| x4 | 0.29 | 0.57 | 0.60 | 0.98 | 0.42 | 0 | 0 | 1 | 1 | 1 |
| x5 | 0.18 | 0.70 | 0.47 | 0.51 | 0.57 | 1 | 1 | 0 | 1 | 0 |
| x6 | 0.35 | 0.85 | 0.43 | 0.59 | 0.90 | 1 | 1 | 1 | 0 | 1 |
| x7 | 0.26 | 0.20 | 0.31 | 0.93 | 0.56 | 1 | 0 | 1 | 0 | 1 |
| 数据集 | 样本数 | 特征数 | 标记数 | 领域 | ||
|---|---|---|---|---|---|---|
| 总计 | 训练集 | 测试集 | ||||
| Emotions | 593 | 391 | 202 | 72 | 6 | Music |
| Yeast | 2 417 | 1 500 | 917 | 103 | 14 | Biology |
| Medical | 978 | 333 | 645 | 1 449 | 45 | Health |
| Science | 5 000 | 2 000 | 3 000 | 743 | 40 | Research |
| Recreation | 5 000 | 2 000 | 3 000 | 606 | 22 | Leisure |
| Cal500 | 502 | 350 | 152 | 68 | 174 | Music |
| Health | 5 000 | 2 000 | 3 000 | 612 | 32 | Health |
| Business | 5 000 | 2 000 | 3 000 | 438 | 30 | Economy |
| Scene | 2 407 | 1 211 | 196 | 294 | 6 | Image |
| Computer | 5 000 | 2 000 | 3 000 | 681 | 33 | Technology |
| Flags | 194 | 129 | 65 | 19 | 7 | Culture |
| Educations | 5 000 | 2 000 | 3 000 | 550 | 33 | Education |
Tab. 2 Characteristics of experimental datasets
| 数据集 | 样本数 | 特征数 | 标记数 | 领域 | ||
|---|---|---|---|---|---|---|
| 总计 | 训练集 | 测试集 | ||||
| Emotions | 593 | 391 | 202 | 72 | 6 | Music |
| Yeast | 2 417 | 1 500 | 917 | 103 | 14 | Biology |
| Medical | 978 | 333 | 645 | 1 449 | 45 | Health |
| Science | 5 000 | 2 000 | 3 000 | 743 | 40 | Research |
| Recreation | 5 000 | 2 000 | 3 000 | 606 | 22 | Leisure |
| Cal500 | 502 | 350 | 152 | 68 | 174 | Music |
| Health | 5 000 | 2 000 | 3 000 | 612 | 32 | Health |
| Business | 5 000 | 2 000 | 3 000 | 438 | 30 | Economy |
| Scene | 2 407 | 1 211 | 196 | 294 | 6 | Image |
| Computer | 5 000 | 2 000 | 3 000 | 681 | 33 | Technology |
| Flags | 194 | 129 | 65 | 19 | 7 | Culture |
| Educations | 5 000 | 2 000 | 3 000 | 550 | 33 | Education |
| 数据集 | DML-FNCC | PMLFS | WFDP | MLFRS | MLCA |
|---|---|---|---|---|---|
| 平均排名 | 1.25 | 3.00 | 4.92 | 3.25 | 2.58 |
| Emotions | 0.776 7 | 0.694 3 | 0.639 9 | 0.735 7 | 0.766 6 |
| Yeast | 0.733 5 | 0.696 8 | 0.685 0 | 0.671 6 | 0.730 6 |
| Medical | 0.757 8 | 0.708 0 | 0.468 3 | 0.744 2 | 0.742 2 |
| Science | 0.417 1 | 0.411 9 | 0.399 6 | 0.471 1 | 0.322 0 |
| Recreation | 0.425 3 | 0.380 5 | 0.369 9 | 0.413 1 | 0.346 8 |
| Cal500 | 0.486 8 | 0.478 6 | 0.442 2 | 0.485 5 | 0.475 4 |
| Health | 0.660 5 | 0.636 2 | 0.613 0 | 0.625 7 | 0.607 7 |
| Business | 0.867 4 | 0.855 7 | 0.860 2 | 0.861 1 | 0.768 8 |
| Scene | 0.781 8 | 0.507 0 | 0.704 3 | 0.472 7 | 0.601 8 |
| Computer | 0.607 9 | 0.595 8 | 0.558 9 | 0.603 2 | 0.551 7 |
| Flags | 0.794 4 | 0.780 9 | 0.769 5 | 0.788 5 | 0.794 2 |
| Educations | 0.488 8 | 0.473 5 | 0.480 0 | 0.484 1 | 0.475 9 |
Tab. 3 Average precisions of five algorithms on twelve datasets
| 数据集 | DML-FNCC | PMLFS | WFDP | MLFRS | MLCA |
|---|---|---|---|---|---|
| 平均排名 | 1.25 | 3.00 | 4.92 | 3.25 | 2.58 |
| Emotions | 0.776 7 | 0.694 3 | 0.639 9 | 0.735 7 | 0.766 6 |
| Yeast | 0.733 5 | 0.696 8 | 0.685 0 | 0.671 6 | 0.730 6 |
| Medical | 0.757 8 | 0.708 0 | 0.468 3 | 0.744 2 | 0.742 2 |
| Science | 0.417 1 | 0.411 9 | 0.399 6 | 0.471 1 | 0.322 0 |
| Recreation | 0.425 3 | 0.380 5 | 0.369 9 | 0.413 1 | 0.346 8 |
| Cal500 | 0.486 8 | 0.478 6 | 0.442 2 | 0.485 5 | 0.475 4 |
| Health | 0.660 5 | 0.636 2 | 0.613 0 | 0.625 7 | 0.607 7 |
| Business | 0.867 4 | 0.855 7 | 0.860 2 | 0.861 1 | 0.768 8 |
| Scene | 0.781 8 | 0.507 0 | 0.704 3 | 0.472 7 | 0.601 8 |
| Computer | 0.607 9 | 0.595 8 | 0.558 9 | 0.603 2 | 0.551 7 |
| Flags | 0.794 4 | 0.780 9 | 0.769 5 | 0.788 5 | 0.794 2 |
| Educations | 0.488 8 | 0.473 5 | 0.480 0 | 0.484 1 | 0.475 9 |
| 数据集 | DML-FNCC | PMLFS | WFDP | MLFRS | MLCA |
|---|---|---|---|---|---|
| 平均排名 | 1.33 | 4.08 | 3.50 | 3.25 | 2.83 |
| Emotions | 0.242 5 | 0.311 8 | 0.271 8 | 0.301 3 | 0.266 7 |
| Yeast | 0.212 7 | 0.295 3 | 0.224 5 | 0.231 2 | 0.218 3 |
| Medical | 0.016 2 | 0.019 7 | 0.018 8 | 0.017 9 | 0.027 6 |
| Science | 0.035 3 | 0.035 6 | 0.067 8 | 0.036 9 | 0.063 3 |
| Recreation | 0.064 6 | 0.180 5 | 0.067 8 | 0.064 9 | 0.100 1 |
| Cal500 | 0.139 6 | 0.144 1 | 0.143 7 | 0.144 2 | 0.139 8 |
| Health | 0.046 8 | 0.049 3 | 0.047 5 | 0.051 1 | 0.027 6 |
| Business | 0.028 3 | 0.029 0 | 0.031 0 | 0.029 1 | 0.058 9 |
| Scene | 0.122 3 | 0.186 4 | 0.131 5 | 0.167 9 | 0.165 9 |
| Computer | 0.041 7 | 0.044 7 | 0.046 1 | 0.043 2 | 0.069 3 |
| Flags | 0.690 1 | 0.525 2 | 0.301 5 | 0.331 9 | 0.294 1 |
| Educations | 0.044 3 | 0.071 8 | 0.062 4 | 0.044 7 | 0.047 0 |
Tab. 4 Hamming losses of five algorithms on twelve datasets
| 数据集 | DML-FNCC | PMLFS | WFDP | MLFRS | MLCA |
|---|---|---|---|---|---|
| 平均排名 | 1.33 | 4.08 | 3.50 | 3.25 | 2.83 |
| Emotions | 0.242 5 | 0.311 8 | 0.271 8 | 0.301 3 | 0.266 7 |
| Yeast | 0.212 7 | 0.295 3 | 0.224 5 | 0.231 2 | 0.218 3 |
| Medical | 0.016 2 | 0.019 7 | 0.018 8 | 0.017 9 | 0.027 6 |
| Science | 0.035 3 | 0.035 6 | 0.067 8 | 0.036 9 | 0.063 3 |
| Recreation | 0.064 6 | 0.180 5 | 0.067 8 | 0.064 9 | 0.100 1 |
| Cal500 | 0.139 6 | 0.144 1 | 0.143 7 | 0.144 2 | 0.139 8 |
| Health | 0.046 8 | 0.049 3 | 0.047 5 | 0.051 1 | 0.027 6 |
| Business | 0.028 3 | 0.029 0 | 0.031 0 | 0.029 1 | 0.058 9 |
| Scene | 0.122 3 | 0.186 4 | 0.131 5 | 0.167 9 | 0.165 9 |
| Computer | 0.041 7 | 0.044 7 | 0.046 1 | 0.043 2 | 0.069 3 |
| Flags | 0.690 1 | 0.525 2 | 0.301 5 | 0.331 9 | 0.294 1 |
| Educations | 0.044 3 | 0.071 8 | 0.062 4 | 0.044 7 | 0.047 0 |
| 数据集 | DML-FNCC | PMLFS | WFDP | MLFRS | MLCA |
|---|---|---|---|---|---|
| 平均排名 | 1.25 | 3.58 | 3.08 | 2.50 | 4.58 |
| Emotions | 0.306 9 | 0.396 0 | 0.351 1 | 0.513 2 | 0.317 8 |
| Yeast | 0.261 7 | 0.271 5 | 0.263 9 | 0.268 1 | 0.276 9 |
| Medical | 0.286 8 | 0.350 3 | 0.638 7 | 0.381 2 | 0.753 5 |
| Science | 0.340 3 | 0.643 3 | 0.470 7 | 0.648 9 | 0.865 1 |
| Recreation | 0.737 3 | 0.760 9 | 0.809 3 | 0.771 3 | 0.842 0 |
| Cal500 | 0.115 0 | 0.144 1 | 0.127 1 | 0.120 1 | 0.125 3 |
| Health | 0.442 1 | 0.467 3 | 0.494 0 | 0.484 5 | 0.506 0 |
| Business | 0.132 2 | 0.141 6 | 0.136 6 | 0.135 6 | 0.134 4 |
| Scene | 0.340 3 | 0.708 9 | 0.470 7 | 0.760 2 | 0.606 7 |
| Computer | 0.470 6 | 0.482 3 | 0.490 3 | 0.472 5 | 0.653 3 |
| Flags | 0.215 3 | 0.246 1 | 0.261 5 | 0.220 1 | 0.222 2 |
| Educations | 0.670 6 | 0.643 3 | 0.678 3 | 0.679 3 | 0.806 5 |
Tab. 5 One errors of five algorithms on twelve datasets
| 数据集 | DML-FNCC | PMLFS | WFDP | MLFRS | MLCA |
|---|---|---|---|---|---|
| 平均排名 | 1.25 | 3.58 | 3.08 | 2.50 | 4.58 |
| Emotions | 0.306 9 | 0.396 0 | 0.351 1 | 0.513 2 | 0.317 8 |
| Yeast | 0.261 7 | 0.271 5 | 0.263 9 | 0.268 1 | 0.276 9 |
| Medical | 0.286 8 | 0.350 3 | 0.638 7 | 0.381 2 | 0.753 5 |
| Science | 0.340 3 | 0.643 3 | 0.470 7 | 0.648 9 | 0.865 1 |
| Recreation | 0.737 3 | 0.760 9 | 0.809 3 | 0.771 3 | 0.842 0 |
| Cal500 | 0.115 0 | 0.144 1 | 0.127 1 | 0.120 1 | 0.125 3 |
| Health | 0.442 1 | 0.467 3 | 0.494 0 | 0.484 5 | 0.506 0 |
| Business | 0.132 2 | 0.141 6 | 0.136 6 | 0.135 6 | 0.134 4 |
| Scene | 0.340 3 | 0.708 9 | 0.470 7 | 0.760 2 | 0.606 7 |
| Computer | 0.470 6 | 0.482 3 | 0.490 3 | 0.472 5 | 0.653 3 |
| Flags | 0.215 3 | 0.246 1 | 0.261 5 | 0.220 1 | 0.222 2 |
| Educations | 0.670 6 | 0.643 3 | 0.678 3 | 0.679 3 | 0.806 5 |
| 数据集 | DML-FNCC | PMLFS | WFDP | MLFRS | MLCA |
|---|---|---|---|---|---|
| 平均排名 | 1.25 | 3.75 | 3.08 | 2.58 | 4.33 |
| Emotions | 0.184 8 | 0.265 5 | 0.359 2 | 0.341 1 | 0.193 5 |
| Yeast | 0.190 5 | 0.222 8 | 0.254 0 | 0.202 1 | 0.191 1 |
| Medical | 0.060 9 | 0.084 8 | 0.140 8 | 0.061 3 | 0.143 6 |
| Science | 0.150 9 | 0.134 5 | 0.143 2 | 0.134 1 | 0.167 6 |
| Recreation | 0.205 8 | 0.405 4 | 0.233 6 | 0.225 6 | 0.232 8 |
| Cal500 | 0.186 6 | 0.198 1 | 0.225 6 | 0.183 1 | 0.189 5 |
| Health | 0.068 9 | 0.080 2 | 0.084 4 | 0.078 1 | 0.147 2 |
| Business | 0.044 7 | 0.057 1 | 0.049 5 | 0.049 6 | 0.285 5 |
| Scene | 0.148 7 | 0.386 7 | 0.189 9 | 0.436 9 | 0.274 0 |
| Computer | 0.099 2 | 0.108 9 | 0.101 1 | 0.103 0 | 0.113 0 |
| Flags | 0.241 1 | 0.264 3 | 0.262 8 | 0.275 6 | 0.216 3 |
| Educations | 0.106 6 | 0.113 5 | 0.109 5 | 0.107 4 | 0.126 5 |
Tab. 6 Ranking losses of five algorithms on twelve datasets
| 数据集 | DML-FNCC | PMLFS | WFDP | MLFRS | MLCA |
|---|---|---|---|---|---|
| 平均排名 | 1.25 | 3.75 | 3.08 | 2.58 | 4.33 |
| Emotions | 0.184 8 | 0.265 5 | 0.359 2 | 0.341 1 | 0.193 5 |
| Yeast | 0.190 5 | 0.222 8 | 0.254 0 | 0.202 1 | 0.191 1 |
| Medical | 0.060 9 | 0.084 8 | 0.140 8 | 0.061 3 | 0.143 6 |
| Science | 0.150 9 | 0.134 5 | 0.143 2 | 0.134 1 | 0.167 6 |
| Recreation | 0.205 8 | 0.405 4 | 0.233 6 | 0.225 6 | 0.232 8 |
| Cal500 | 0.186 6 | 0.198 1 | 0.225 6 | 0.183 1 | 0.189 5 |
| Health | 0.068 9 | 0.080 2 | 0.084 4 | 0.078 1 | 0.147 2 |
| Business | 0.044 7 | 0.057 1 | 0.049 5 | 0.049 6 | 0.285 5 |
| Scene | 0.148 7 | 0.386 7 | 0.189 9 | 0.436 9 | 0.274 0 |
| Computer | 0.099 2 | 0.108 9 | 0.101 1 | 0.103 0 | 0.113 0 |
| Flags | 0.241 1 | 0.264 3 | 0.262 8 | 0.275 6 | 0.216 3 |
| Educations | 0.106 6 | 0.113 5 | 0.109 5 | 0.107 4 | 0.126 5 |
| 数据集 | DML-FNCC | PMLFS | WFDP | MLFRS | MLCA |
|---|---|---|---|---|---|
| 平均排名 | 1.75 | 3.33 | 3.25 | 2.83 | 4.83 |
| Emotions | 1.847 1 | 2.430 6 | 2.841 5 | 2.412 5 | 1.949 7 |
| Yeast | 7.641 2 | 7.306 4 | 8.247 5 | 7.819 0 | 7.718 5 |
| Medical | 5.396 1 | 5.451 1 | 7.082 1 | 6.156 3 | 7.617 2 |
| Science | 7.629 5 | 7.663 0 | 7.646 3 | 6.717 0 | 8.139 2 |
| Recreation | 5.645 0 | 4.942 0 | 5.254 6 | 5.714 2 | 5.923 5 |
| Cal500 | 129.100 0 | 142.300 0 | 129.400 0 | 129.700 0 | 131.610 0 |
| Health | 3.781 0 | 3.975 0 | 4.108 6 | 3.931 3 | 4.612 2 |
| Business | 2.591 2 | 2.967 3 | 2.608 3 | 2.661 3 | 2.831 8 |
| Scene | 2.030 9 | 2.029 1 | 1.739 9 | 2.289 0 | 1.459 1 |
| Computer | 4.565 9 | 5.100 6 | 4.595 5 | 4.651 0 | 5.056 5 |
| Flags | 4.630 7 | 4.211 2 | 3.812 1 | 4.031 1 | 3.812 9 |
| Educations | 3.890 1 | 3.921 0 | 4.046 1 | 4.481 2 | 5.081 2 |
Tab. 7 Coverages of five algorithms on twelve datasets
| 数据集 | DML-FNCC | PMLFS | WFDP | MLFRS | MLCA |
|---|---|---|---|---|---|
| 平均排名 | 1.75 | 3.33 | 3.25 | 2.83 | 4.83 |
| Emotions | 1.847 1 | 2.430 6 | 2.841 5 | 2.412 5 | 1.949 7 |
| Yeast | 7.641 2 | 7.306 4 | 8.247 5 | 7.819 0 | 7.718 5 |
| Medical | 5.396 1 | 5.451 1 | 7.082 1 | 6.156 3 | 7.617 2 |
| Science | 7.629 5 | 7.663 0 | 7.646 3 | 6.717 0 | 8.139 2 |
| Recreation | 5.645 0 | 4.942 0 | 5.254 6 | 5.714 2 | 5.923 5 |
| Cal500 | 129.100 0 | 142.300 0 | 129.400 0 | 129.700 0 | 131.610 0 |
| Health | 3.781 0 | 3.975 0 | 4.108 6 | 3.931 3 | 4.612 2 |
| Business | 2.591 2 | 2.967 3 | 2.608 3 | 2.661 3 | 2.831 8 |
| Scene | 2.030 9 | 2.029 1 | 1.739 9 | 2.289 0 | 1.459 1 |
| Computer | 4.565 9 | 5.100 6 | 4.595 5 | 4.651 0 | 5.056 5 |
| Flags | 4.630 7 | 4.211 2 | 3.812 1 | 4.031 1 | 3.812 9 |
| Educations | 3.890 1 | 3.921 0 | 4.046 1 | 4.481 2 | 5.081 2 |
| 评价指标 | 临界值 | |
|---|---|---|
| 平均精度 | 14.303 5 | 2.583 6 |
| 汉明损失 | 6.292 6 | |
| 单错误率 | 10.878 5 | |
| 排序损失 | 6.483 4 | |
| 覆盖度 | 2.469 4 |
Tab. 8 Test statistics (k=5, N=12) and critical value for evaluation metrics
| 评价指标 | 临界值 | |
|---|---|---|
| 平均精度 | 14.303 5 | 2.583 6 |
| 汉明损失 | 6.292 6 | |
| 单错误率 | 10.878 5 | |
| 排序损失 | 6.483 4 | |
| 覆盖度 | 2.469 4 |
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