Genetic_Programming_Theory_and_Practice_XIII

(C. Jardin) #1

Highly Accurate Symbolic Regression with Noisy Training Data 97



  • Broad problems in U 1 (5)[150]

  • ..Note: these problems trained on 10,000 examples with 150 features each
    •(T38): yD9:16C.9:16x 124 x 0 /C.19:56x 120 x 21 /C.21:87x 24 x 26 /C
    .17:48x 122 x 23 /C.38:81x 123 x 24 /
    •(T39): yD9:16C.9:16x 124 =x 0 /C.19:56x 20 =x 92 /C.21:87x 102 =x 2 /C
    .17:48x 22 =x 143 /C.38:81x 23 =x 149 /
    •(T40): yD9:16C.9:16cos. 0 //C.19:56x 20 =x 21 /C.21:87square.x 125 //C
    .17:48x 22 =x 23 /C.38:81tanh.x 24 //

  • Dense problems in U 1 (25)[25]

  • ..Note: these problems trained on 10,000 examples with 25 features each
    •(T41): yD50:63C.63:6cube.x 0 //C.66:54square.x 1 //C.32:95quart.x 2 //C
    .4:87cube.x 3 //C.46:49square.x 4 //C.62:85quart.x 5 //C
    .90:45cube.x 6 //C.63:28square.x 7 //C.42:15quart.x 8 //C
    .73:03cube.x 9 //C.92:2square.x 10 //C.77:99quart.x 11 //C
    .56:67cube.x 12 //C.72:51square.x 13 //C.49:77quart.x 14 //C
    .56:94cube.x 15 //C.54:76square.x 16 //C.23:11quart.x 17 //C
    .56:03cube.x 18 //C.51:98square.x 19 //C.11:71quart.x 20 //C
    .33:82cube.x 21 //C.46:25square.x 22 //C.32:98quart.x 23 //C
    .36:06cube.x 24 //
    •(T42): yD9:16C.9:16x 4 x 0 /C.19:56x 0 x 1 /C.21:87x 1 x 2 /C
    .17:48x 2 x 3 /C.38:81x 3 x 4 /C.3:1x 4 x 5 /C.59:81x 5 x 6 /C
    .93:1x 6 x 7 /C.:81x 7 x 8 /C.9:21x 8 x 9 /C.5:81x 9 x 10 /C
    .:01x 10 x 11 /C.4:21x 11 x 12 /C.68:81x 12 x 13 /C.8:81x 13 x 14 /C
    .2:11x 14 x 15 /C.7:11x 15 x 16 /C.:91x 16 x 17 /C.20:0x 17 x 18 /C
    .1:81x 18 x 19 /C.9:71x 19 x 20 /C.8:1x 20 x 21 /C.6:1x 21 x 22 /C
    .18:51x 22 x 23 /C.7:1x 23 x 24 /
    •(T43): yD0:0C.1square.x 0 //C.2square.x 1 //C.3square.x 2 //C
    .4square.x 3 //C.5square.x 4 //C.6square.x 5 //C.7square.x 6 //C
    .8square.x 7 //C.9square.x 8 //C.10square.x 9 //C.11square.x 10 //C
    .12square.x 11 //C.13square.x 12 //C.14square.x 13 //C.15square.x 14 //C
    .16square.x 15 //C.17square.x 16 //C.18square.x 17 //C.19square.x 18 //C
    .20square.x 19 //C.21square.x 20 //C.22square.x 21 //C.23square.x 22 //C
    .24square.x 23 //C.25square.x 24 //
    •(T44): yD65:86C.79:4sin.x 0 //C.45:88cos.x 1 //C.2:13tan.x 2 //C
    .4:6sin.x 3 //C.61:47cos.x 4 //C.30:64tan.x 5 //C.51:95sin.x 6 //C
    .47:83cos.x 7 //C.4:21tan.x 8 //C.37:84sin.x 9 //C.62:57cos.x 10 //C
    .4:68tan.x 11 //C.32:65sin.x 12 //C.86:89cos.x 13 //C.84:79tan.x 14 //C
    .31:72sin.x 15 //C.90:4cos.x 16 //C.93:57tan.x 17 //C.42:18sin.x 18 //C
    .47:91cos.x 19 //C.41:48tan.x 20 //C.39:47sin.x 21 //C.48:44cos.x 22 //C
    .34:75tan.x 23 //C.56:7sin.x 24 //
    •(T45): yD1:57C.1:57x 0 /C.39:34sin.x 1 //C.2:13x 2 /C.46:59.x 3 =x 2 //C
    .11:54x 4 /C.30:64ln.x 5 //C.51:95abs.x 6 //C.47:83.x 7 x 3 //C
    .4:21quart.x 8 //C.37:84x 9 /C.62:57square.x 10 //C.4:68sqroot.x 11 //C
    .32:65.x 12 =x 3 //C.86:89x 14 /C.84:79tan.x 15 //C.31:72cube.x 16 //C
    .90:4.x 17 x 18 //C.93:57.x 17 =x 16 //C.42:18sin.x 18 //C.47:91cos.x 19 //C
    .41:48ln.x 20 //C.39:47square.x 21 //C.48:44x 22 /C
    .34:75.x 23 x 24 //C.56:7x 24 /

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