Fold 4 - Understanding why coefficient 23 was selected
Tag: AVALANCHE NOVELTIES
Selected Coefficient: 23
Taxonomy Path: 23
Taxonomy Name: Sporting Goods
Products with this tag: 8
Unique residual values tried: 6
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 | 4.012658 | 23 | 23 (23) | Sporting Goods | Yes |
| 260 | 4.037975 | 23.3 | 3.23 (3*79 + 23) | Sporting Goods > Indoor Games | No |
| -3875582 | 6.000160 | -0.78.67.7 | -7.67.78.0 (-(7*79^3 + 67*79^2 + 78*79)) | No | |
| -3863100 | 6.000160 | -0.78.65.7 | -7.65.78.0 (-(7*79^3 + 65*79^2 + 78*79)) | No | |
| 25439 | 7.000000 | 1.6.4 | 4.6.1 (4*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Brooches & Lapel Pins | No |
| 324783 | 7.000000 | 14.3.52 | 52.3.14 (52*79^2 + 3*79 + 14) | Home & Garden > Decor > Picture Frames | No |
These are the training products that have the "AVALANCHE NOVELTIES" tag (processing sequence 3825). 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 |
|---|---|---|---|---|---|---|---|
| 1189 | Colorado Avalanche Banner Raising Panoramic Frames | 324783 | Home & Garden > Decor > Picture Frames | none | 324760 | none | |
| 1026 | 2023 Avalanche Pride Lapel Pin | 25439 | Apparel & Accessories > Jewelry > Brooches & Lapel Pins | none | 25416 | none | |
| 1183 | Avalanche Stanley Cup Banner Pucks | 260 | Sporting Goods > Indoor Games | none | 237 | none | |
| 1290 | Vintage NHL Colorado Rockies Pennant | 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 | |
| 1156 | Avalanche 2022 Stanley Cup Champions Locker Room Scarf | -3863100 | AVALANCHE SALE | -3863123 | none | ||
| 708 | 2023 Stanley Cup Playoff Banner Lapel Pin | -3875582 | AVALANCHE SALE | -3875605 | none |