Fold 4 - Understanding why coefficient 69681826 was selected
Tag: ABSTRACT
Selected Coefficient: 69681826
Taxonomy Path: 12.1.49.52.2
Taxonomy Name:
Products with this tag: 9
Unique residual values tried: 8
The algorithm tries each unique residual value as a candidate coefficient and selects the one with the lowest total p-adic loss. The selected row is highlighted.
| Candidate Value | Total P-adic Loss | Taxonomy Path | P-adic Expansion | Taxonomy Name | Selected? |
|---|---|---|---|---|---|
| 69681826 | 7.000000 | 12.1.49.52.2 | 2.52.49.1.12 (2*71^4 + 52*71^3 + 49*71^2 + 71 + 12) | Yes | |
| 66752933 | 7.000003 | 11.0.36.44.2 | 2.44.36.0.11 (2*71^4 + 44*71^3 + 36*71^2 + 11) | No | |
| 68900399 | 7.000003 | 11.0.36.50.2 | 2.50.36.0.11 (2*71^4 + 50*71^3 + 36*71^2 + 11) | No | |
| 5186 | 8.000000 | 3.2.1 | 1.2.3 (5041 + 2*71 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | No |
| -12784119 | 8.000000 | -1.2.51.35 | -35.51.2.1 (-(35*71^3 + 51*71^2 + 2*71 + 1)) | No | |
| -4411229 | 8.000000 | -70.4.23.12 | -12.23.4.70 (-(12*71^3 + 23*71^2 + 4*71 + 70)) | No | |
| 69575738 | 8.000000 | 69.68.27.52.2 | 2.52.27.68.69 (2*71^4 + 52*71^3 + 27*71^2 + 68*71 + 69) | No | |
| -50692 | 8.000000 | -69.3.10 | -10.3.69 (-(10*71^2 + 3*71 + 69)) | No |
These are the training products that have the "ABSTRACT" tag (processing sequence 345). The residual is the encoded taxonomy value minus all coefficients from previously processed tags.
| Product ID | Title | Residual Before | Taxonomy Before | Tags Already Processed | Residual After | Taxonomy After | Tags Not Yet Processed |
|---|---|---|---|---|---|---|---|
| 7908 | Retro Mesh Series #1.5 (2) | 69681826 | BLUE, GREEN | 0 | none | ||
| 7907 | Retro Mesh Blue Series #1.5 (2) | 69681826 | BLUE, GREEN | 0 | none | ||
| 7895 | Organic Vessle | 69575738 | BLUE, GREEN, BOWL | -106088 | none | ||
| 7906 | Retro Mesh Black Series #1.5 | 68900399 | BLACK, WHITE, GREY | -781427 | none | ||
| 7909 | Retro Mesh Series #1.5 (3) | 66752933 | BLUE, BLACK, GREEN | -2928893 | none | ||
| 3967 | "Hot Like A Lizard In The Sun" | 5186 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | none | -69676640 | none | |
| 7913 | The Warm Set | -50692 | SILVER | -69732518 | INSTALLATION, MIXED MEDIA | ||
| 7914 | Violet Storm | -4411229 | BLUE, SILVER | -74093055 | INSTALLATION, MIXED MEDIA | ||
| 7893 | She Escaped: Down River Among Volkswagen Fishies | -12784119 | BLUE, BLACK, WHITE, BEIGE | -82465945 | ACRYLIC, MIXED MEDIA |