Fold 0 - Understanding why coefficient 121127 was selected
Tag: AMICAE
Selected Coefficient: 121127
Taxonomy Path: 1.2.24
Taxonomy Name: Apparel & Accessories > Clothing Accessories > Pinback Buttons
Products with this tag: 2
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? |
|---|---|---|---|---|---|
| 121127 | 1.000000 | 1.2.24 | 24.2.1 (24*71^2 + 2*71 + 1) | Apparel & Accessories > Clothing Accessories > Pinback Buttons | Yes |
| 292605 | 1.000000 | 14.3.58 | 58.3.14 (58*71^2 + 3*71 + 14) | Home & Garden > Decor > Seasonal & Holiday Decorations | No |
These are the training products that have the "AMICAE" tag (processing sequence 93). 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 |
|---|---|---|---|---|---|---|---|
| 6145 | Zeta Phi Beta Sorority, Inc. (Amicae) Balloons | 292605 | Home & Garden > Decor > Seasonal & Holiday Decorations | none | 171478 | SORORITY, AFFORDABLE, BRIDAL PARTY, BIRTHDAY, ZETA | |
| 6112 | Alpha Omega Phi (Classic) Button Pin | 121127 | Apparel & Accessories > Clothing Accessories > Pinback Buttons | none | 0 | GIFT, SORORITY |