研究文章

比较先进的预测性能统计和机器学习技术使用巨大的大数据:证据来自蒙特卡洛实验

表2

预测比较受到蒙特卡罗模拟的异方差性(场景2)。

模型 σ= 0.1/0.3, = 50 σ= 0.1/0.3, = 70

n= 100/200/400 RMSE RMSE
MCP 0.313/0.306/0.303 0.253 / 0.246/0.242 0.321 / 0.307/0.303 0.260 / 0.246/0.242
E-SCAD 0.319 / 0.309/0.304 0.258 / 0.248/0.243 0.331 / 0.311/0.305 0.267 / 0.249/0.243
Autometrics 0.318 / 0.308 /0.303 0.256 / 0.248 /0.242 0.339 / 0.313/0.305 0.274 / 0.250/0.244
FM_PCA 3.373 / 3.055/2.648 2.723 / 2.452/2.115 4.382 / 4.197/3.847 3.534 / 3.374/3.078
FM_PLS 0.399 / 0.327/0.311 0.322 / 0.262/0.249 0.625 / 0.347/0.317 0.504 / 0.278/0.253

n= 100/200/400 σ= 0.2/0.6, = 50 σ= 0.2/0.6, = 70
MCP 0.627 / 0.613/0.606 0.507 / 0.492/0.484 0.643 / 0.614/0.607 0.520 / 0.492/0.485
E-SCAD 0.637 / 0.617/0.609 0.515 / 0.496/0.486 0.659 / 0.621/0.609 0.532 / 0.498/0.487
Autometrics 0.636 / 0.617 /0.606 0.512 / 0.496 /0.484 0.667 / 0.625/0.610 0.548 / 0.501/0.488
FM_PCA 3.410 / 3.101/2.704 2.753 / 2.489/2.160 4.412 / 4.233/3.883 3.556 / 3.402/3.106
FM_PLS 0.798 / 0.654/0.623 0.646 / 0.525/0.498 1.107 / 0.693/0.634 0.892 / 0.556/0.507

n= 100/200/400 σ= 0.3/0.9, = 50 σ= 0.3/0.9, = 70
MCP 0.941 / 0.920/0.909 0.761 / 0.739/0.727 0.965 / 0.921/0.910 0.780 / 0.739/0.728
E-SCAD 0.954 / 0.926/0.913 0.771 / 0.743/0.730 0.985 / 0.930/0.914 0.795 / 0.746/0.730
Autometrics 0.954 / 0.926 /0.909 0.768 / 0.744 /0.727 1.017 / 0.938/0.916 0.823 / 0.752/0.733
FM_PCA 3.478 / 3.176/2.791 2.809 / 2.549/2.230 4.467 / 4.281/3.941 3.601 / 3.440/3.153
FM_PLS 1.181 / 0.983/0.935 0.956 / 0.789/0.748 1.507 / 1.040/0.951 1.215 / 0.834/0.760

请注意。大胆的值表示一个更好的预测。