1. Example data of MountCurve - Nonlinear Regression Problem

No      x           y

No      x           y

No      x           y

No      x           y

No      x           y

No      x           y

1       400     0.00000

2       401     0.00000

3       402     0.00000

4       403     0.00000

5       404     0.00000

6       405     0.00000

7       406     0.00000

8       407     0.00000

9       408     0.00000

10      409     0.00000

11      410     0.00000

12      411     0.00000

13      412     0.00000

14      413     0.00000

15      414     0.00000

16      415     0.00000

17      416     0.00000

18      417     0.00000

19      418     0.00000

20      419     0.00000

21      420     0.00000

22      421     0.00000

23      422     0.00000

24      423     0.00000

25      424     0.00000

26      425     0.00000

27      426     0.00000

28      427     0.00000

29      428     0.00000

30      429     0.00000

31      430     0.00000

32      431     0.00000

33      432     0.00001

34      433     0.00001

35      434     0.00005

36      435     0.00014

37      436     0.00033

38      437     0.00084

39      438     0.00214

40      439     0.00401

41      440     0.00846

42      441     0.01573

43      442     0.02942

44      443     0.05303

45      444     0.08089

46      445     0.13059

47      446     0.16849

48      447     0.25326

49      448     0.28538

50      449     0.36135

51      450     0.35706

52      451     0.38473

53      452     0.35831

54      453     0.34594

55      454     0.26469

56      455     0.23151

57      456     0.18391

58      457     0.11498

59      458     0.08957

60      459     0.05728

61      460     0.02904

62      461     0.01612

63      462     0.00936

64      463     0.00456

65      464     0.00205

66      465     0.00081

67      466     0.00033

68      467     0.00013

69      468     0.00004

70      469     0.00002

71      470     0.00000

72      471     0.00000

73      472     0.00000

74      473     0.00000

75      474     0.00000

76      475     0.00000

77      476     0.00000

78      477     0.00000

79      478     0.00000

80      479     0.00000

81      480     0.00000

82      481     0.00000

83      482     0.00000

84      483     0.00000

85      484     0.00000

86      485     0.00000

87      486     0.00000

88      487     0.00000

89      488     0.00000

90      489     0.00000

91      490     0.00000

92      491     0.00000

93      492     0.00000

94      493     0.00000

95      494     0.00000

96      495     0.00000

97      496     0.00000

98      497     0.00000

99      498     0.00000

100     499     0.00000

101     500     0.00000

102     501     0.00000

103     400     0.00000

104     401     0.00000

105     402     0.00000

106     403     0.00000

107     404     0.00000

108     405     0.00000

109     406     0.00000

110     407     0.00000

111     408     0.00000

112     409     0.00000

113     410     0.00000

114     411     0.00000

115     412     0.00000

116     413     0.00000

117     414     0.00000

118     415     0.00000

119     416     0.00000

120     417     0.00000

121     418     0.00000

122     419     0.00000

123     420     0.00000

124     421     0.00000

125     422     0.00000

126     423     0.00000

127     424     0.00000

128     425     0.00000

129     426     0.00000

130     427     0.00000

131     428     0.00000

132     429     0.00000

133     430     0.00000

134     431     0.00000

135     432     0.00000

136     433     0.00002

137     434     0.00005

138     435     0.00013

139     436     0.00037

140     437     0.00080

141     438     0.00210

142     439     0.00438

143     440     0.00933

144     441     0.01623

145     442     0.03124

146     443     0.05060

147     444     0.09114

148     445     0.13773

149     446     0.17647

150     447     0.21935

151     448     0.31303

152     449     0.36742

153     450     0.39079

154     451     0.37866

155     452     0.35692

156     453     0.31019

157     454     0.29462

158     455     0.24586

159     456     0.17016

160     457     0.11542

161     458     0.07642

162     459     0.04941

163     460     0.03222

164     461     0.01849

165     462     0.00881

166     463     0.00403

167     464     0.00195

168     465     0.00087

169     466     0.00033

170     467     0.00012

171     468     0.00004

172     469     0.00001

173     470     0.00000

174     471     0.00000

175     472     0.00000

176     473     0.00000

177     474     0.00000

178     475     0.00000

179     476     0.00000

180     477     0.00000

181     478     0.00000

182     479     0.00000

183     480     0.00000

184     481     0.00000

185     482     0.00000

186     483     0.00000

187     484     0.00000

188     485     0.00000

189     486     0.00000

190     487     0.00000

191     488     0.00000

192     489     0.00000

193     490     0.00000

194     491     0.00000

195     492     0.00000

196     493     0.00000

197     494     0.00000

198     495     0.00000

199     496     0.00000

200     497     0.00000

201     498     0.00000

202     499     0.00000

203     500     0.00000

204     501     0.00000

 

 

2. Example data of Cos Function - Multi-nonlinear Regression Problem

No      x1       x2       x3        y

No      x1       x2       x3        y

No      x1       x2       x3        y

1       0.5797  2.5708  5.0022  98.5408

2       0.5797  2.4431  4.8947  95.8701

3       0.5797  2.5916  5.0202  94.2456

4       0.5797  2.5611  4.9939  91.0629

5       0.5797  2.3325  4.8055  93.2027

6       0.5797  2.4668  4.9143  90.8112

7       0.5797  2.4686  4.9158  88.2381

8       0.5797  2.4323  4.8858  87.6292

9       0.5797  1.9414  4.5161  85.5226

10      0.5797  2.5539  4.9877  85.5457

11      0.5797  2.0865  4.6188  86.8441

12      0.5797  1.8235  4.4363  85.0530

13      0.5797  1.8248  4.4372  85.5197

14      0.5797  1.9375  4.5133  87.0217

15      0.5797  1.8336  4.443   82.5568

16      0.5797  1.8372  4.4453  80.7657

17      0.5797  2.1773  4.6859  82.9873

18      0.5797  2.4783  4.9239  82.5369

19      0.5797  2.4794  4.9248  80.7739

20      0.5797  2.298   4.7783  80.9289

21      0.5797  2.3524  4.8213  78.2137

22      0.5797  1.9696  4.5356  78.2423

23      0.5797  1.9703  4.5361  79.9485

24      0.5797  2.1049  4.6322  72.5405

25      0.5797  1.9778  4.5413  73.9879

26      0.5797  1.794   4.4168  72.8660

27      0.5797  2.1633  4.6754  70.3091

28      0.5797  1.9828  4.5448  68.9918

29      0.5797  2.0354  4.582   66.5300

30      0.5797  2.1154  4.6399  64.1288

31      0.5797  2.5007  4.9427  62.5733

32      0.5797  1.9915  4.551   62.4885

33      0.5797  2.5063  4.9474  61.3855

34      0.5797  2.2745  4.76    60.5194

35      0.5797  2.5091  4.9496  60.5927

36      0.5797  2.5164  4.9558  59.6154

37      0.5797  2.272   4.758   60.8071

38      0.5797  1.8681  4.466   60.1644

39      0.5797  1.9958  4.5539  60.0994

40      0.5797  2.3907  4.852   59.9757

41      0.5797  1.8992  4.4871  57.5347

 

 

3. Example data of SinCos Function - Multi-nonlinear Regression Problem

No      x1       x2       x3        y

No      x1       x2       x3        y

No      x1       x2       x3        y

1      0.2671  8.1681  0.4279  -0.0800

2       0.0166  1.3885  1.6640  -1.1242

3       0.6063  6.8171  1.7050  0.8925

4       0.8753  8.0373  2.6867  -0.1802

5       0.6257  4.2429  1.6018  0.0572

6       0.6713  6.8907  1.5692  0.1857

7       0.9401  6.2108  1.9125  0.2150

8       0.6107  5.6197  0.6365  -0.0755

9       0.4577  1.2314  0.4368  0.3377

10      0.7234  7.2440  1.7970  -0.8115

11      0.2419  5.1765  1.4256  -0.0123

12      0.2318  7.1781  1.6261  0.2129

13      0.6524  6.3351  2.2626  1.5248

14      0.7723  7.6326  2.1093  -0.0444

15      0.0245  3.0222  1.8720  -0.1738

16      0.6304  3.6835  0.1315  -0.2854

17      0.0520  4.0654  0.4002  -0.1172

18      0.7023  6.3920  1.0638  -0.0426

19      0.8217  7.8193  2.0572  -0.0328

20      0.7904  4.9634  1.5143  0.1358

21      0.9032  8.4108  2.5776  -0.1446

22      0.1264  5.2207  1.1570  1.0164

23      0.3472  4.3368  0.9912  -0.0230

24      0.2706  3.7466  1.7182  -0.3333

25      0.7040  4.9362  1.2282  0.5671

26      0.8083  9.0500  0.3757  -0.2993

27      0.5407  0.2659  1.9618  0.3689

28      0.1243  1.1628  2.1960  -0.7721

29      0.2427  0.1572  2.9357  -1.3249

30      0.0464  2.2911  0.4871  0.3013

31      0.4246  4.3301  1.2939  -0.8624

32      0.8681  1.6665  2.2688  -0.0886

33      0.8769  8.0334  2.0431  -0.2522

34      0.2534  0.6777  0.1429  0.0493

35      0.9410  2.3731  0.1855  -0.0084

36      0.3568  7.8533  1.8709  -0.0108

37      0.3474  5.9253  0.1892  1.0326

38      0.2172  0.4230  1.6284  -0.0823

39      0.1934  0.0198  0.7623  0.3311

40      0.6758  8.1376  0.3833  0.9690

41      0.6766  4.8568  0.2908  -0.2979

42      0.7765  8.9104  0.8317  -0.1419

43      0.7619  3.0023  2.2406  -0.1220

44      0.4089  2.7600  2.0099  0.0320

45      0.9456  1.4291  0.2337  0.1728

46      0.8961  3.6353  2.7642  0.0854

47      0.0171  8.7467  1.8384  -0.0045

48      0.8918  6.0939  2.8982  -0.1546

49      0.9986  1.2281  0.2899  -0.0096

50      0.3757  8.6184  0.7082  -0.1888

51      0.6018  5.3124  2.8273  0.1165

52      0.3100  5.7199  1.9586  0.2425

53      0.3707  6.0697  0.0259  0.4101

54      0.6771  0.0077  1.8203  0.5241

55      0.5042  6.2797  2.8635  -0.9349

56      0.7515  1.2359  0.0847  -0.0406

57      0.9864  9.9275  0.2176  -0.2601

58      0.6036  5.0897  2.7701  0.1951

59      0.3932  2.6776  2.4910  -0.3780

60      0.5714  8.2727  1.2285  -0.2521

61      0.4258  0.8845  2.0383  -0.6213

 

4. Example data for multi-output regression

No    x1       x2        x3        y1        y2

No     x1       x2        x3        y1        y2

No      x1       x2        x3        y1        y2

1       1       0.987   0.987   0.916   0.237

2       2       0.618   1.237   -2.901  0.709

3       3       1.098   3.294   1.973   1.710

4       4       1.485   5.942   5.234   2.392

5       5       3.317   16.587  16.311  4.086

6       6       5.961   35.764  24.425  5.381

7       7       6.663   46.644  28.746  5.814

8       8       2.740   21.924  13.316  4.509

9       9       7.354   66.182  28.386  6.470

10      10      6.937   69.372  30.676  6.944

11      11      3.698   40.680  19.531  5.764

12      12      9.445   113.345 37.937  8.149

13      13      2.569   33.391  13.450  6.653

14      14      1.327   18.581  5.675   6.074

15      15      5.758   86.368  25.422  8.187

16      16      15.772  252.359 48.365  10.965

17      17      12.542  213.210 42.797  10.915

18      18      4.601   82.826  24.540  8.638

19      19      2.203   41.854  13.290  8.508

20      20      8.507   170.130 39.382  11.240

21      21      11.120  233.511 41.252  12.135

22      22      14.865  327.038 47.892  11.892

23      23      22.511  517.762 57.542  13.860

24      24      19.974  479.375 59.715  12.039

25      25      10.741  268.518 40.322  12.288

26      26      13.279  345.260 49.653  12.262

27      27      23.226  627.096 62.851  13.860

28      28      26.368  738.292 75.883  14.203

29      29      9.923   287.766 41.788  12.713

30      30      5.170   155.112 28.346  13.232

31      31      0.776   24.056  -0.588  10.426

32      32      27.559  881.882 80.120  16.553

33      33      15.658  516.708 53.915  14.895

34      34      27.052  919.775 69.354  17.725

35      35      13.678  478.745 55.640  15.390

36      36      4.987   179.515 30.265  15.296

37      37      4.209   155.731 27.332  14.766

38      38      11.764  447.040 44.773  15.041

39      39      31.855  1242.341        90.286  19.462

40      40      35.712  1428.484        80.451  17.299

41      41      29.560  1211.977        84.244  20.135

42      42      3.949   165.873 26.787  14.990

43      43      14.069  604.958 59.887  18.335

44      44      27.231  1198.172        82.514  18.289

45      45      17.511  788.002 59.296  19.108

46      46      21.082  969.770 72.884  18.612

47      47      20.723  974.003 64.811  18.571

48      48      25.131  1206.307        80.290  20.449

49      49      47.161  2310.899        98.398  22.867

50      50      21.262  1063.100        66.327  21.285

51      51      1.520   77.516  8.373   17.994

52      52      26.186  1361.686        74.942  22.315

53      53      19.286  1022.178        68.779  20.085

54      54      29.990  1619.479        88.679  20.424

55      55      20.719  1139.560        74.545  22.539

56      56      6.975   390.588 37.865  18.212

57      57      52.847  3012.288        106.993 23.876

58      58      46.140  2676.110        102.662 23.602

59      59      21.006  1239.379        66.145  23.083

60      60      12.617  757.016 52.665  23.843

61      61      47.628  2905.299        105.337 26.003

62      62      36.337  2252.883        98.262  25.058

63      63      57.201  3603.648        125.039 24.860

64      64      57.715  3693.737        120.399 25.841

65      65      37.752  2453.903        104.168 27.177

66      66      46.968  3099.920        100.816 26.997

67      67      15.310  1025.785        67.903  24.517

68      68      20.088  1366.001        78.163  26.777

69      69      9.572   660.495 46.869  22.454

70      70      44.030  3082.113        101.113 28.072

71      71      24.675  1751.903        76.671  26.200

72      72      1.398   100.660 7.936   21.903

73      73      54.174  3954.734        120.694 30.253

74      74      19.028  1408.086        75.614  28.853

75      75      1.195   89.611  5.085   21.028

76      76      27.241  2070.331        95.381  30.613

77      77      16.501  1270.604        62.261  29.627

78      78      36.152  2819.885        99.146  31.726

79      79      5.892   465.497 37.484  26.684

80      80      62.813  5025.060        131.298 30.525

81      81      0.835   67.626  0.481   25.615

82      82      59.934  4914.564        137.646 32.669

83      83      60.298  5004.759        143.983 30.500

84      84      0.725   60.879  -1.384  26.458

85      85      76.135  6471.487        153.899 35.532

86      86      63.602  5469.734        146.077 33.984

87      87      33.414  2907.059        95.391  29.914

88      88      79.062  6957.485        143.915 35.678

89      89      0.483   42.987  -5.707  23.604

90      90      76.355  6871.995        147.017 31.764

91      91      1.245   113.317 6.853   24.226

92      92      82.284  7570.150        144.438 36.643

93      93      30.622  2847.818        99.408  34.316

94      94      66.766  6276.047        154.828 38.483

95      95      14.145  1343.765        60.311  33.949

96      96      73.040  7011.871        143.466 34.306

97      97      89.344  8666.335        161.146 37.300

98      98      49.522  4853.178        134.013 32.844

99      99      98.477  9749.244        172.948 38.723

100     100     79.506  7950.601        159.859 35.861