Fold 3 - Understanding why coefficient 23 was selected
Tag: AVALANCHE NOVELTIES
Selected Coefficient: 23
Taxonomy Path: 23
Taxonomy Name: Sporting Goods
Products with this tag: 7
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? |
|---|---|---|---|---|---|
| 23 | 3.000000 | 23 | 23 (23) | Sporting Goods | Yes |
| 121127 | 4.014283 | 1.2.24 | 24.2.1 (24*71^2 + 2*71 + 1) | Apparel & Accessories > Clothing Accessories > Pinback Buttons | No |
| 131209 | 4.014283 | 1.2.26 | 26.2.1 (26*71^2 + 2*71 + 1) | Apparel & Accessories > Clothing Accessories > Scarves & Shawls | No |
| 20591 | 4.028169 | 1.6.4 | 4.6.1 (4*71^2 + 6*71 + 1) | Apparel & Accessories > Jewelry > Brooches & Lapel Pins | No |
These are the training products that have the "AVALANCHE NOVELTIES" tag (processing sequence 469). 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 |
|---|---|---|---|---|---|---|---|
| 1156 | Avalanche 2022 Stanley Cup Champions Locker Room Scarf | 131209 | Apparel & Accessories > Clothing Accessories > Scarves & Shawls | none | 131186 | none | |
| 708 | 2023 Stanley Cup Playoff Banner Lapel Pin | 121127 | Apparel & Accessories > Clothing Accessories > Pinback Buttons | none | 121104 | none | |
| 1026 | 2023 Avalanche Pride Lapel Pin | 20591 | Apparel & Accessories > Jewelry > Brooches & Lapel Pins | none | 20568 | none | |
| 1096 | Avalanche 2022 8" Stanley Cup Replica w/Medallion | 23 | Sporting Goods | none | 0 | none | |
| 1164 | Avalanche Foam Fan Chain - Reverse Retro Logo | 23 | Sporting Goods | none | 0 | none | |
| 1177 | Avalanche #29 Nathan MacKinnon Player Pennant | 23 | Sporting Goods | none | 0 | none | |
| 1290 | Vintage NHL Colorado Rockies Pennant | 23 | Sporting Goods | none | 0 | none |