Research Article

Outlier-Resistant 𝐿 𝟏 Orthogonal Regression via the Reformulation-Linearization Technique

Table 5

Computational performance of 𝐿 1 OR implementation for simulation with vertical outliers.

Avg. MIPsAvg. MIPsAvg. timeAvg. time
𝐶 𝑚 % Optimal solved suboptimal to Term. (s) to Best Soln. (s)

0 0 7.0 193.2 1.2 289.4 235.2
10 1 6.0 217.9 1.0 282.2 242.7
10 10 6.0 187.0 0.9 279.1 255.5
10 50 14.0 117.9 0.5 199.0 186.4
25 1 9.0 236.4 0.9 287.1 226.2
25 10 1.0 105.7 1.2 231.3 223.0
25 50 24.0 154.1 0.2 163.1 149.4