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. Author manuscript; available in PMC: 2023 May 17.
Published in final edited form as: J Mach Learn Res. 2022;23:182.

Table 3:

Convex regression. Times are reported as averages over 3 replicates.

Time (s) Loss ×103 Distance ×104 MSE ×102
d m MM SD ADMM MM SD ADMM MM SD ADMM MM SD ADMM
1 50 0.015
(0.00477)
0.0109
(0.00162)
0.0171
(0.0033)
454 454 454 87.3 87.4 87.5 70.1 70.1 70.1
100 0.0382
(0.002)
0.0311
(0.000301)
0.0578
(0.00179)
510 510 510 94.3 94.4 94.5 75.3 75.3 75.3
200 0.138
(0.00662)
0.0991
(0.00138)
0.205
(0.00213)
471 471 471 92.2 92.2 92.2 71 71 71
400 0.565
(0.012)
0.464
(0.000493)
0.862
(0.0184)
501 501 501 96.9 97 97 79.1 79.1 79.1
2 50 1.71
(0.00334)
0.693
(0.00341)
16
(0.00511)
122 126 118 85.9 85.3 85.5 72.2 73.1 70.8
100 11.8
(0.0189)
3.33
(0.00704)
66.6
(0.0844)
162 163 162 99.4 98 98.4 95.4 95.8 95.1
200 51.4
(0.0701)
14.1
(0.00805)
230
(0.273)
233 234 233 98.1 94.2 96.8 123 123 122
400 200
(1.06)
50.3
(0.299)
917
(1.48)
239 239 238 94.3 90.8 91.9 140 140 140
10 50 0.19
(0.00281)
0.00722
(9.99 × 10−5)
0.196
(0.00743)
0.000891 0.00109 0.000838 0.821 2.23 0.488 8.59 8.63 8.61
100 0.854
(0.0002)
0.0644
(0.000503)
0.873
(0.00191)
0.000937 0.00097 0.000943 0.154 0 0.11 10.3 10.2 10.3
200 3.77
(0.00486)
0.398
(0.00888)
3.89
(0.0132)
0.000883 0.00099 0.00101 0.281 0 0.292 9.64 9.63 9.65
400 26.8
(0.405)
3.17
(0.0183)
27.6
(0.0488)
0.000992 0.000997 0.000999 0.185 0.288 0.176 9.41 9.42 9.39
20 50 0.39
(0.00132)
0.00791
(2.6 × 10−5)
0.399
(0.00193)
0.000991 0.00542 0.00091 0.027 7.06 0.0696 9.77 9.34 9.57
100 1.46
(0.000164)
0.0684
(0.000174)
1.58
(0.0329)
0.000995 0.000965 0.000996 0.0308 0 0 9.13 9.22 9
200 7.7
(0.166)
0.414
(0.00109)
7.78
(0.0105)
0.000984 0.00113 0.000961 0.251 1.74 0.438 9.6 9.61 9.6
400 30.2
(0.0275)
3.03
(0.00605)
30
(0.0157)
0.000997 0.00105 0.00142 0.0921 1.68 0.646 10 10.2 10.2