Acta Geodaetica et Cartographica Sinica ›› 2026, Vol. 55 ›› Issue (1): 46-58.
• Geodesy and Navigation • Previous Articles
Wenyuan ZHANG1,2(
), Jinsong PENG1(
), Nadu WEI3, Yu GAO1, Shubi ZHANG1,2
Received:2025-03-07
Revised:2025-09-15
Published:2026-02-13
Contact:
Jinsong PENG
E-mail:zhangwy@cumt.edu.cn;pjs@cumt.edu.cn
About author:ZHANG Wenyuan (1996—), male, PhD, associate professor, majors in GNSS atmospheric monitoring and climate change applications, GNSS data processing, and ERP forecasting. E-mail: zhangwy@cumt.edu.cn
Supported by:CLC Number:
Wenyuan ZHANG, Jinsong PENG, Nadu WEI, Yu GAO, Shubi ZHANG. A short-term prediction method for Earth's polar motion using cascaded LSTM networks based on SSA denoising[J]. Acta Geodaetica et Cartographica Sinica, 2026, 55(1): 46-58.
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Tab. 1
MAE of forecast results for four schemes in the X direction"
| 预报天数 | 方案1/mas | 方案2/mas | MAE降低率1/(%) | 方案3/mas | 方案4/mas | MAE降低率2/(%) | MAE降低率3/(%) | MAE降低率4/(%) |
|---|---|---|---|---|---|---|---|---|
| 1 | 0.816 | 0.816 | 0 | 0.816 | 0.816 | 0 | 0 | 0 |
| 2 | 1.310 | 1.142 | 12.8 | 0.923 | 0.915 | 30.2 | 19.9 | 0.9 |
| 3 | 1.816 | 1.540 | 15.2 | 1.109 | 1.051 | 42.1 | 31.8 | 5.2 |
| 4 | 2.300 | 1.930 | 16.1 | 1.356 | 1.266 | 45.0 | 34.4 | 6.6 |
| 5 | 2.762 | 2.213 | 19.9 | 1.640 | 1.534 | 44.5 | 30.7 | 6.5 |
| 6 | 3.212 | 2.587 | 19.5 | 1.945 | 1.732 | 46.1 | 33.0 | 11.0 |
| 7 | 3.665 | 2.914 | 20.5 | 2.274 | 1.995 | 45.6 | 31.5 | 12.3 |
| 8 | 4.101 | 3.226 | 21.3 | 2.604 | 2.258 | 44.9 | 30.0 | 13.3 |
| 9 | 4.581 | 3.542 | 22.7 | 3.004 | 2.491 | 45.6 | 29.7 | 17.1 |
| 10 | 5.088 | 3.919 | 23.0 | 3.411 | 2.914 | 42.7 | 25.6 | 14.6 |
| 均值 | 2.965 | 2.383 | 19.6 | 1.908 | 1.697 | 42.8 | 28.8 | 11.1 |
Tab. 2
MAE of forecast results for four schemes in the Y direction"
| 预报天数 | 方案1/mas | 方案2/mas | MAE降低率1/(%) | 方案3/mas | 方案4/mas | MAE降低率2/(%) | MAE降低率3/(%) | MAE降低率4/(%) |
|---|---|---|---|---|---|---|---|---|
| 1 | 0.676 | 0.676 | 0 | 0.554 | 0.554 | 18.0 | 18.0 | 0 |
| 2 | 0.956 | 0.910 | 4.8 | 0.643 | 0.607 | 36.5 | 33.3 | 5.6 |
| 3 | 1.216 | 1.150 | 5.4 | 0.766 | 0.651 | 46.5 | 43.4 | 15.0 |
| 4 | 1.455 | 1.377 | 5.4 | 0.895 | 0.714 | 50.9 | 48.1 | 20.2 |
| 5 | 1.672 | 1.579 | 5.6 | 1.034 | 0.780 | 53.3 | 50.6 | 24.6 |
| 6 | 1.880 | 1.744 | 7.2 | 1.253 | 0.890 | 52.7 | 49.0 | 29.0 |
| 7 | 2.115 | 1.904 | 10.0 | 1.530 | 1.019 | 51.8 | 46.5 | 33.4 |
| 8 | 2.374 | 2.090 | 12.0 | 1.813 | 1.193 | 49.7 | 42.9 | 34.2 |
| 9 | 2.645 | 2.311 | 12.6 | 2.117 | 1.363 | 48.5 | 41.0 | 35.6 |
| 10 | 2.901 | 2.473 | 14.8 | 2.425 | 1.506 | 48.1 | 39.1 | 37.9 |
| 均值 | 1.789 | 1.621 | 9.4 | 1.303 | 0.928 | 48.1 | 42.8 | 28.8 |
Tab. 3
Root mean square of satellite orbits corresponding to different polar motion products"
| DOY | 公报A/mm | LSTM递归/mm | LSTM级联/mm | SSA-递归LSTM/mm | SSA-级联LSTM/mm |
|---|---|---|---|---|---|
| 223 | 33.3 | 60.1 | 54.1 | 101.5 | 96.4 |
| 224 | 65.5 | 102.0 | 104.9 | 92.0 | 72.8 |
| 225 | 99.7 | 140.4 | 136.4 | 94.7 | 46.1 |
| 226 | 134.8 | 162.5 | 146.3 | 103.0 | 33.1 |
| 227 | 173.3 | 180.4 | 165.9 | 110.8 | 20.9 |
| 228 | 217.8 | 201.2 | 257.6 | 116.8 | 54.7 |
| 229 | 248.0 | 221.9 | 292.7 | 141.6 | 82.3 |
| 230 | 252.1 | 235.0 | 237.2 | 196.3 | 82.8 |
| 均值 | 153.1 | 162.9 | 174.4 | 119.6 | 61.1 |
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