Fold 0 - Understanding why coefficient -110320 was selected
Tag: MERCHANDISE
Selected Coefficient: -110320
Taxonomy Path: -13.1.16
Taxonomy Name:
Products with this tag: 8
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? |
|---|---|---|---|---|---|
| -110320 | 7.000000 | -13.1.16 | -16.1.13 (-(16*83^2 + 83 + 13)) | Yes | |
| 0 | 7.000000 | 0 | 0 (0) | No | |
| 19 | 7.000000 | 19 | 19 (19) | No | |
| 264 | 7.000000 | 15.3 | 3.15 (3*83 + 15) | No | |
| 510 | 7.000000 | 12.6 | 6.12 (6*83 + 12) | No | |
| 1197770 | 7.000000 | 80.71.7.2 | 2.7.71.80 (2*83^3 + 7*83^2 + 71*83 + 80) | No | |
| 48608953 | 7.000000 | 3.2.1.2.1 | 1.2.1.2.3 (47458321 + 2*83^3 + 6889 + 2*83 + 3) | No | |
| 240220357 | 7.000000 | 14.11.10.5.5 | 5.5.10.11.14 (5*83^4 + 5*83^3 + 10*83^2 + 11*83 + 14) | No |
These are the training products that have the "MERCHANDISE" tag (processing sequence 6628). 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 |
|---|---|---|---|---|---|---|---|
| 23694 | Wobbly Duck Mug | 240220357 | none | 240330677 | none | ||
| 19970 | Trillium Fractal Sticker | 48608953 | none | 48719273 | none | ||
| 33194 | Willow Wellness Hoodie Blanket | 1197770 | BEDDING | 1308090 | none | ||
| 19835 | Extra Empty Bottle | 510 | none | 110830 | none | ||
| 33186 | Love More Zipper Purse | 264 | none | 110584 | BAGS | ||
| 19834 | Extra Dropper | 19 | none | 110339 | none | ||
| 19818 | Holographic Echinacea Sticker | 0 | STICKER, TREE | 110320 | none | ||
| 19841 | E Gift Card | -110320 | GIFT CARD, SIMPLE EXTRACTS | 0 | none |