Fold 1 - Understanding why coefficient 82823856 was selected
Tag: ABSTRACT
Selected Coefficient: 82823856
Taxonomy Path: 13.3.29.18.3
Taxonomy Name:
Products with this tag: 10
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? |
|---|---|---|---|---|---|
| 82823856 | 7.014085 | 13.3.29.18.3 | 3.18.29.3.13 (3*71^4 + 18*71^3 + 29*71^2 + 3*71 + 13) | Yes | |
| 72610719 | 7.028169 | 13.2.62.60.2 | 2.60.62.2.13 (2*71^4 + 60*71^3 + 62*71^2 + 2*71 + 13) | No | |
| -2570982 | 8.000000 | -1.1.13.7 | -7.13.1.1 (-(7*71^3 + 13*71^2 + 71 + 1)) | No | |
| 10162445 | 8.014085 | 2.68.27.28 | 28.27.68.2 (28*71^3 + 27*71^2 + 68*71 + 2) | No | |
| -50692 | 8.014085 | -69.3.10 | -10.3.69 (-(10*71^2 + 3*71 + 69)) | No | |
| 5801908 | 9.000000 | 1.67.14.16 | 16.14.67.1 (16*71^3 + 14*71^2 + 67*71 + 1) | No | |
| 5186 | 9.000000 | 3.2.1 | 1.2.3 (5041 + 2*71 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | No |
| 79894963 | 9.000000 | 12.2.16.10.3 | 3.10.16.2.12 (3*71^4 + 10*71^3 + 16*71^2 + 2*71 + 12) | No |
These are the training products that have the "ABSTRACT" tag (processing sequence 353). 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) | 82823856 | BLUE, YELLOW | 0 | none | ||
| 7895 | Organic Vessle | 82823856 | BLUE, YELLOW | 0 | none | ||
| 7909 | Retro Mesh Series #1.5 (3) | 79894963 | BLACK, BLUE, YELLOW | -2928893 | none | ||
| 7907 | Retro Mesh Blue Series #1.5 (2) | 72610719 | BLUE | -10213137 | none | ||
| 7913 | The Warm Set | 10162445 | SILVER, YELLOW | -72661411 | INSTALLATION, MIXED MEDIA | ||
| 7911 | The Earth Set | 5801908 | SILVER, BLUE, YELLOW | -77021948 | INSTALLATION, MIXED MEDIA | ||
| 3967 | "Hot Like A Lizard In The Sun" | 5186 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | none | -82818670 | none | |
| 7912 | The Midnight Set | -50692 | SILVER | -82874548 | INSTALLATION, MIXED MEDIA | ||
| 7893 | She Escaped: Down River Among Volkswagen Fishies | -2570982 | BLACK, BLUE, WHITE, BROWN, BEIGE | -85394838 | ACRYLIC, MIXED MEDIA | ||
| 7880 | She Escaped: Among Frilly Feathered Top Hats | -2570982 | BLACK, BLUE, WHITE, BROWN, BEIGE | -85394838 | ACRYLIC, MIXED MEDIA |