Fold 4 - Understanding why coefficient 14128 was selected
Tag: ARTS-AND-CRAFTS
Selected Coefficient: 14128
Taxonomy Path: 18.4.2
Taxonomy Name: Office Supplies > General Office Supplies > Correction Fluids, Pens & Tapes
Products with this tag: 5
Unique residual values tried: 4
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? |
|---|---|---|---|---|---|
| 14128 | 3.000000 | 18.4.2 | 2.4.18 (2*83^2 + 4*83 + 18) | Office Supplies > General Office Supplies > Correction Fluids, Pens & Tapes | Yes |
| -7328 | 4.000000 | -24.5.1 | -1.5.24 (-(6889 + 5*83 + 24)) | No | |
| 0 | 4.000000 | 0 | 0 (0) | No | |
| 143525595 | 4.000000 | 3.2.1.2.3 | 3.2.1.2.3 (3*83^4 + 2*83^3 + 6889 + 2*83 + 3) | No |
These are the training products that have the "ARTS-AND-CRAFTS" tag (processing sequence 5557). 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 |
|---|---|---|---|---|---|---|---|
| 7986 | OOLY Rainbow Sparkle Glitter Markers | 143525595 | none | 143511467 | 10-25 | ||
| 7959 | OOLY Tutti Fruitti Scented Pens | 14128 | Office Supplies > General Office Supplies > Correction Fluids, Pens & Tapes | none | 0 | none | |
| 7978 | OOLY Oh My Glitter! Retractable Gel Pens | 14128 | Office Supplies > General Office Supplies > Correction Fluids, Pens & Tapes | none | 0 | 10-25 | |
| 7998 | Klutz Friendship Wish Bracelets | 0 | KLUTZ-BOOKS | -14128 | 10-25 | ||
| 8004 | Klutz Jr. My Fun & Fuzzy Headband Salon | -7328 | CRAFT-KITS, KLUTZ-BOOKS | -21456 | 10-25 |