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Table 1 Results of the algorithms for problem (1) with p=3 for (20)

From: Local low-rank approach to nonlinear matrix completion

Problem

Algorithm

q

r

SVT

FPCA

sIRLS-0

IPMS

VMC

LLRASGD

0.2

2

17.21%

2.33%

1.32%

1.40%

0.08%

0.92%

0.2

3

32.61%

32.19%

16.04%

22.38%

7.61%

4.04%

0.2

4

49.25%

49.31%

47.79%

44.48%

36.07%

5.77%

0.2

5

59.42%

59.52%

64.72%

56.03%

76.64%

17.59%

0.2

6

66.76%

66.85%

71.41%

65.03%

85.83%

39.90%

0.3

2

9.50%

0.28%

0.09%

0.09%

0.03%

0.03%

0.3

3

17.54%

9.27%

1.97%

2.11%

0.10%

0.12%

0.3

4

34.45%

34.48%

22.45%

26.05%

7.11%

1.24%

0.3

5

55.30%

55.40%

59.46%

51.47%

70.70%

17.72%

0.3

6

66.76%

66.85%

71.41%

65.03%

85.83%

39.90%

0.4

2

5.98%

0.05%

0.07%

1.75%

0.04%

0.07%

0.4

3

10.47%

0.50%

0.15%

0.15%

0.07%

0.03%

0.4

4

22.52%

22.39%

5.94%

9.70%

0.21%

0.29%

0.4

5

36.18%

36.30%

31.42%

29.10%

7.29%

2.96%

0.4

6

45.81%

45.91%

49.21%

40.89%

34.89%

9.87%

  1. Numbers in boldface show the best results