Fold 3 - Understanding why coefficient 250 was selected
Tag: HAND SANITIZER
Selected Coefficient: 250
Taxonomy Path: 13.3
Taxonomy Name: Health & Beauty > Personal Care
Products with this tag: 6
Unique residual values tried: 2
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? |
|---|---|---|---|---|---|
| 250 | 0.025316 | 13.3 | 3.13 (3*79 + 13) | Health & Beauty > Personal Care | Yes |
| 39493140 | 0.050633 | 13.1.8.1.1 | 1.1.8.1.13 (38950081 + 493039 + 8*79^2 + 79 + 13) | Health & Beauty > Health Care > First Aid > Antiseptics & Cleaning Supplies > Antiseptic Gels & Sprays | No |
These are the training products that have the "HAND SANITIZER" tag (processing sequence 2335). 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 |
|---|---|---|---|---|---|---|---|
| 15197 | TOUCHLESS MIST SANITIZER REFILL CARTRIDGE: ROOFTOP GARDEN CHAMPAGNE | 39493140 | Health & Beauty > Health Care > First Aid > Antiseptics & Cleaning Supplies > Antiseptic Gels & Sprays | none | 39492890 | none | |
| 15299 | "Coastal Drive" Touchless Mist Sanitizer | 39493140 | Health & Beauty > Health Care > First Aid > Antiseptics & Cleaning Supplies > Antiseptic Gels & Sprays | none | 39492890 | none | |
| 15162 | "Rooftop Garden" Touchless Mist Sanitizer | 250 | Health & Beauty > Personal Care | none | 0 | none | |
| 15177 | "Signature Scent" Touchless Mist Sanitizer | 250 | Health & Beauty > Personal Care | none | 0 | none | |
| 15298 | "Coastal Drive" Refill | 250 | Health & Beauty > Personal Care | none | 0 | none | |
| 15434 | "Escape To The Sea" Touches Mist Sanitizer Cartridge | 250 | Health & Beauty > Personal Care | none | 0 | none |