Table 3.
Simulation results for Model 2: average integrated squared errors (×102) with standard deviations (×102) in parentheses
| σ | η | Oracle 1 | SSANOVA | LAND | LANDr | PSC | Oracle 2 |
|---|---|---|---|---|---|---|---|
| 1 | 0·0 | 15 (4) | 25 (6) | 16 (5) | 17 (5) | 14 (4) | 14 (4) |
| 0·5 | 15 (4) | 25 (6) | 16 (5) | 17 (6) | 15 (6) | 13 (4) | |
| 2 | 0·0 | 52 (14) | 91 (22) | 58 (20) | 66 (19) | 56 (17) | 48 (13) |
| 0·5 | 47 (16) | 86 (24) | 77 (34) | 73 (31) | 64 (26) | 44 (15) |
σ, model error standard deviation; η, predictor correlation parameter; SSANOVA, smoothing spline analysis-of-variance method; LAND, linear and nonlinear discovery method; LANDr, linear and nonlinear discovery method, refitted version; PSC, the proposed polynomial structure classification method; Oracle 1, oracle for LAND and LANDr; Oracle 2, oracle for PSC.