Fold 3 - Understanding why coefficient 250 was selected
Tag: FRAGRANCE FOR WOMEN
Selected Coefficient: 250
Taxonomy Path: 13.3
Taxonomy Name: Health & Beauty > Personal Care
Products with this tag: 4
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? |
|---|---|---|---|---|---|
| 250 | 1.000320 | 13.3 | 3.13 (3*79 + 13) | Health & Beauty > Personal Care | Yes |
| 125070 | 1.000320 | 13.3.20 | 20.3.13 (20*79^2 + 3*79 + 13) | Health & Beauty > Personal Care > Personal Care Gift Sets & Kits | No |
| 120807287 | 1.000320 | 13.3.2.8.3 | 3.8.2.3.13 (3*79^4 + 8*79^3 + 2*79^2 + 3*79 + 13) | Health & Beauty > Personal Care > Cosmetics > Perfumes & Colognes > Eaux de Parfum | No |
| -3900455 | 3.000000 | -67.76.71.7 | -7.71.76.67 (-(7*79^3 + 71*79^2 + 76*79 + 67)) | No |
These are the training products that have the "FRAGRANCE FOR WOMEN" tag (processing sequence 1442). 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 |
|---|---|---|---|---|---|---|---|
| 12201 | Vince Camuto Eau de Parfum Spray for Women 1.7 oz | 120807287 | Health & Beauty > Personal Care > Cosmetics > Perfumes & Colognes > Eaux de Parfum | none | 120807037 | none | |
| 12261 | Vince Camuto for Women 3 Piece Gift Set | 125070 | Health & Beauty > Personal Care > Personal Care Gift Sets & Kits | none | 124820 | FRAGRANCE GIFT SETS | |
| 12196 | Vince Camuto Amore Eau de Parfum for Women 1 oz | 250 | Health & Beauty > Personal Care | none | 0 | none | |
| 12331 | Fabulous by Isaac Mizrahi 5 Piece Parfum Gift Set | -3900455 | PINK | -3900705 | none |