Fold 2 - Understanding why coefficient 51205 was selected
Tag: GALLERY
Selected Coefficient: 51205
Taxonomy Path: 14.11.10
Taxonomy Name: Home & Garden > Kitchen & Dining > Tableware
Products with this tag: 3
Unique residual values tried: 3
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? |
|---|---|---|---|---|---|
| 51205 | 1.014085 | 14.11.10 | 10.11.14 (10*71^2 + 11*71 + 14) | Home & Garden > Kitchen & Dining > Tableware | Yes |
| 3585230 | 1.014085 | 14.15.1.10 | 10.1.15.14 (10*71^3 + 5041 + 15*71 + 14) | Home & Garden > Linens & Bedding > Bedding > Quilts & Comforters | No |
| -1133218 | 2.000000 | -58.56.11.3 | -3.11.56.58 (-(3*71^3 + 11*71^2 + 56*71 + 58)) | No |
These are the training products that have the "GALLERY" tag (processing sequence 1254). 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 |
|---|---|---|---|---|---|---|---|
| 7837 | Arlecchino Quilt | 3585230 | Home & Garden > Linens & Bedding > Bedding > Quilts & Comforters | none | 3534025 | PATCHWORK, SOLD | |
| 10128 | Christmas Dresden Table Runner | 51205 | Home & Garden > Kitchen & Dining > Tableware | none | 0 | PATCHWORK, SOLD | |
| 10140 | The Orange "Drunkard Path" Wall Hanging Quilt | -1133218 | AUTUMN | -1184423 | PATCHWORK, SOLD |