Fold 3 - Understanding why coefficient -1385718 was selected
Tag: ABSTRACT
Selected Coefficient: -1385718
Taxonomy Path: -11.63.61.3
Taxonomy Name:
Products with this tag: 11
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? |
|---|---|---|---|---|---|
| -1385718 | 7.000006 | -11.63.61.3 | -3.61.63.11 (-(3*71^3 + 61*71^2 + 63*71 + 11)) | Yes | |
| 45926 | 7.000006 | 60.7.9 | 9.7.60 (9*71^2 + 7*71 + 60) | No | |
| 72610719 | 9.000000 | 13.2.62.60.2 | 2.60.62.2.13 (2*71^4 + 60*71^3 + 62*71^2 + 2*71 + 13) | No | |
| 69681826 | 9.000003 | 12.1.49.52.2 | 2.52.49.1.12 (2*71^4 + 52*71^3 + 49*71^2 + 71 + 12) | No | |
| 71113470 | 9.000003 | 12.1.49.56.2 | 2.56.49.1.12 (2*71^4 + 56*71^3 + 49*71^2 + 71 + 12) | No | |
| -2928893 | 9.000198 | -1.1.13.8 | -8.13.1.1 (-(8*71^3 + 13*71^2 + 71 + 1)) | No | |
| -2944016 | 9.000198 | -1.1.16.8 | -8.16.1.1 (-(8*71^3 + 16*71^2 + 71 + 1)) | No | |
| 5186 | 10.000000 | 3.2.1 | 1.2.3 (5041 + 2*71 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | No |
These are the training products that have the "ABSTRACT" tag (processing sequence 354). 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 |
|---|---|---|---|---|---|---|---|
| 7907 | Retro Mesh Blue Series #1.5 (2) | 72610719 | BLUE | 73996437 | BRIGHT COLORS | ||
| 7908 | Retro Mesh Series #1.5 (2) | 72610719 | BLUE, ORANGE, YELLOW | 73996437 | BRIGHT COLORS | ||
| 7906 | Retro Mesh Black Series #1.5 | 71113470 | BLACK, WHITE | 72499188 | none | ||
| 7909 | Retro Mesh Series #1.5 (3) | 69681826 | BLACK, BLUE, ORANGE, YELLOW | 71067544 | BRIGHT COLORS, SQUARE | ||
| 7913 | The Warm Set | 45926 | SILVER, ORANGE, YELLOW | 1431644 | none | ||
| 7912 | The Midnight Set | 45926 | SILVER | 1431644 | none | ||
| 3967 | "Hot Like A Lizard In The Sun" | 5186 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | none | 1390904 | FEATURED | |
| 7911 | The Earth Set | -1385718 | BLUE, SILVER, YELLOW | 0 | none | ||
| 7914 | Violet Storm | -1385718 | BLUE, SILVER, YELLOW | 0 | none | ||
| 7893 | She Escaped: Down River Among Volkswagen Fishies | -2928893 | BLACK, BLUE, WHITE, BROWN, ORANGE | -1543175 | ACRYLIC, BEIGE, BRIGHT COLORS | ||
| 7880 | She Escaped: Among Frilly Feathered Top Hats | -2944016 | BLACK, BLUE, WHITE, BROWN, ORANGE, TAN | -1558298 | ACRYLIC, BEIGE, BRIGHT COLORS, SQUARE |