Table 3.
Difference between dictionaries learned from the collection of sunspot patches corresponding to the different Mount Wilson types as measured by the Grassmannian metric dG, e.g. dG (Aα, Aβ). Dictionaries are learned using random subsets of the data and the results are reported in the form of mean ± standard deviation using 100 trials. Different sizes of dictionaries r are used. The SVD results are sensitive to r.
| SVD, Pooled Grassmannian, r = 5 |
||||
|---|---|---|---|---|
| α | β | βγ | βγδ | |
| α | 0.15 ± 0.10 | 0.26 ± 0.18 | 0.89 ± 0.06 | 0.34 ± 0.18 |
| β | 0.50 ± 0.29 | 0.89 ± 0.14 | 0.43 ± 0.27 | |
| βγ | 0.24 ± 0.16 | 0.7 ± 0.2 | ||
| βγδ | 0.45 ± 0.28 | |||
| SVD, Pooled Grassmannian, r = 6 |
||||
|
α
|
β
|
βγ
|
βγδ
|
|
| α | 0.02 ± 0.004 | 0.03 ± 0.003 | 0.02 ± .004 | 0.04 ± 0.005 |
| β | 0.02 ± 0.005 | 0.02 ± 0.004 | 0.03 ± 0.006 | |
| βγ | 0.03 ± 0.006 | 0.03 ± 0.006 | ||
| βγδ | 0.03 ± 0.007 | |||
| NMF, Pooled Grassmannian, r = 8 |
||||
|
α
|
β
|
βγ
|
βγδ
|
|
| α | 0.40 ± 0.13 | 0.40 ± 0.10 | 0.33 ± 0.09 | 0.37 ± 0.10 |
| β | 0.29 ± 0.13 | 0.35 ± 0.09 | 0.37 ± 0.11 | |
| βγ | 0.37 ± 0.12 | 0.34 ± 0.10 | ||
| βγδ | 0.41 ± 0.11 | |||
| NMF, Pooled Grassmannian, r = 9 |
||||
|
α
|
β
|
βγ
|
βγδ
|
|
| α | 0.62 ± 0.25 | 0.41 ± 0.15 | 0.45 ± 0.19 | 0.40 ± 0.13 |
| β | 0.54 ± 0.23 | 0.49 ± 0.19 | 0.44 ± 0.19 | |
| βγ | 0.53 ± 0.23 | 0.44 ± 0.20 | ||
| βγδ | 0.49 ± 0.20 | |||
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