Fold 3 - Understanding why coefficient 399675 was selected
Tag: PILLOW
Selected Coefficient: 399675
Taxonomy Path: 14.3.64
Taxonomy Name: Home & Garden > Decor > Throw Pillows
Products with this tag: 5
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? |
|---|---|---|---|---|---|
| 399675 | 0.025316 | 14.3.64 | 64.3.14 (64*79^2 + 3*79 + 14) | Home & Garden > Decor > Throw Pillows | Yes |
| 804 | 0.050633 | 14.10 | 10.14 (10*79 + 14) | Home & Garden > Household Supplies | No |
| 4444791 | 0.050633 | 14.15.1.9 | 9.1.15.14 (9*79^3 + 6241 + 15*79 + 14) | Home & Garden > Linens & Bedding > Bedding > Pillows | No |
These are the training products that have the "PILLOW" tag (processing sequence 2705). 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 |
|---|---|---|---|---|---|---|---|
| 18212 | Bolster Pillow | 4444791 | Home & Garden > Linens & Bedding > Bedding > Pillows | none | 4045116 | HOME, MOM | |
| 18177 | Lavender Vibrant Butterfly Small Pillow | 399675 | Home & Garden > Decor > Throw Pillows | none | 0 | HOME | |
| 18178 | Fur Decorative Pillow | 399675 | Home & Garden > Decor > Throw Pillows | none | 0 | HOME | |
| 18211 | Medium Lavender Pillow | 399675 | Home & Garden > Decor > Throw Pillows | none | 0 | HOME | |
| 18186 | Large Square Lavender Sachet | 804 | Home & Garden > Household Supplies | none | -398871 | HOME |