Table 5.
Expected true error of different classification rules for the TP53 network. The constructed priors are considered using two precision factors: optimal precision factor (left) and estimated precision factor (right), with c=0.5, and c=0.6, where the minimum achievable error (Bayes error) is denoted by E r r Bayes
(a) c=0.5, optimal precision factor, E r r Bayes=0.3146 | (b) c=0.5, estimated precision factor, E r r Bayes=0.3146 | ||||||||||
Method/ n | 15 | 30 | 45 | 60 | 75 | Method/ n | 15 | 30 | 45 | 60 | 75 |
Hist | 0.3586 | 0.3439 | 0.3337 | 0.3321 | 0.3296 | Hist | 0.3586 | 0.3439 | 0.3337 | 0.3321 | 0.3296 |
CART | 0.3633 | 0.3492 | 0.3350 | 0.3314 | 0.3295 | CART | 0.3633 | 0.3492 | 0.3350 | 0.3314 | 0.3295 |
RF | 0.3791 | 0.3574 | 0.3461 | 0.3400 | 0.3362 | RF | 0.3791 | 0.3574 | 0.3461 | 0.3400 | 0.3362 |
SVM | 0.3902 | 0.3481 | 0.3433 | 0.3324 | 0.3322 | SVM | 0.3902 | 0.3481 | 0.3433 | 0.3324 | 0.3322 |
Jeffreys’ | 0.3809 | 0.3439 | 0.3457 | 0.3321 | 0.3334 | Jeffreys’ | 0.3809 | 0.3439 | 0.3457 | 0.3321 | 0.3334 |
RMEP | 0.3399 | 0.3392 | 0.3360 | 0.3315 | 0.3328 | RMEP | 0.3791 | 0.3489 | 0.3377 | 0.3329 | 0.3302 |
RMDIP | 0.3399 | 0.3392 | 0.3360 | 0.3315 | 0.3328 | RMDIP | 0.3789 | 0.3490 | 0.3378 | 0.3329 | 0.3302 |
REMLP | 0.3405 | 0.3340 | 0.3320 | 0.3292 | 0.3287 | REMLP | 0.3417 | 0.3372 | 0.3350 | 0.3318 | 0.3292 |
MKDIP-E | 0.3397 | 0.3398 | 0.3351 | 0.3306 | 0.3297 | MKDIP-E | 0.3675 | 0.3470 | 0.3373 | 0.3326 | 0.3298 |
MKDIP-D | 0.3397 | 0.3398 | 0.3347 | 0.3306 | 0.3297 | MKDIP-D | 0.3668 | 0.3472 | 0.3374 | 0.3327 | 0.3298 |
MKDIP-R | 0.3435 | 0.3354 | 0.3321 | 0.3295 | 0.3283 | MKDIP-R | 0.3471 | 0.3402 | 0.3349 | 0.3316 | 0.3287 |
(c) c=0.6, optimal precision factor, E r r Bayes=0.2691 | (d) c=0.6, estimated precision factor, E r r Bayes=0.2691 | ||||||||||
Method/ n | 15 | 30 | 45 | 60 | 75 | Method/ n | 15 | 30 | 45 | 60 | 75 |
Hist | 0.3081 | 0.2965 | 0.2906 | 0.2883 | 0.2846 | Hist | 0.3081 | 0.2965 | 0.2906 | 0.2883 | 0.2846 |
CART | 0.3173 | 0.2988 | 0.2882 | 0.2846 | 0.2796 | CART | 0.3173 | 0.2988 | 0.2882 | 0.2846 | 0.2796 |
RF | 0.3333 | 0.3035 | 0.2946 | 0.2850 | 0.2842 | RF | 0.3333 | 0.3035 | 0.2946 | 0.2850 | 0.2842 |
SVM | 0.3322 | 0.3091 | 0.2991 | 0.2926 | 0.2857 | SVM | 0.3322 | 0.3091 | 0.2991 | 0.2926 | 0.2857 |
Jeffreys’ | 0.3105 | 0.2936 | 0.2860 | 0.2828 | 0.2819 | Jeffreys’ | 0.3105 | 0.2936 | 0.2860 | 0.2828 | 0.2819 |
RMEP | 0.2924 | 0.2922 | 0.2847 | 0.2843 | 0.2835 | RMEP | 0.3346 | 0.3024 | 0.2894 | 0.2860 | 0.2823 |
RMDIP | 0.2924 | 0.2922 | 0.2847 | 0.2843 | 0.2835 | RMDIP | 0.3344 | 0.3023 | 0.2895 | 0.2858 | 0.2823 |
REMLP | 0.3003 | 0.2908 | 0.2869 | 0.2839 | 0.2832 | REMLP | 0.3054 | 0.2930 | 0.2910 | 0.2870 | 0.2850 |
MKDIP-E | 0.2924 | 0.2909 | 0.2837 | 0.2851 | 0.2837 | MKDIP-E | 0.3341 | 0.3025 | 0.2898 | 0.2864 | 0.2822 |
MKDIP-D | 0.2924 | 0.2909 | 0.2837 | 0.2851 | 0.2837 | MKDIP-D | 0.3347 | 0.3024 | 0.2898 | 0.2862 | 0.2822 |
MKDIP-R | 0.3032 | 0.2917 | 0.2868 | 0.2843 | 0.2825 | MKDIP-R | 0.3096 | 0.2981 | 0.2910 | 0.2869 | 0.2849 |
The lowest error for each sample size is written in bold