Fold 3 - Understanding why coefficient 2497441 was selected
Tag: TABLE LAMP
Selected Coefficient: 2497441
Taxonomy Path: 14.13.5.5
Taxonomy Name: Home & Garden > Lighting > Lamps > Table Lamps
Products with this tag: 8
Unique residual values tried: 1
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? |
|---|---|---|---|---|---|
| 2497441 | 0.000000 | 14.13.5.5 | 5.5.13.14 (5*79^3 + 5*79^2 + 13*79 + 14) | Home & Garden > Lighting > Lamps > Table Lamps | Yes |
These are the training products that have the "TABLE LAMP" tag (processing sequence 385). 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 |
|---|---|---|---|---|---|---|---|
| 12403 | Pair of Outstanding Antique Cloissenae Lamps | 2497441 | Home & Garden > Lighting > Lamps > Table Lamps | none | 0 | none | |
| 12425 | Vintage Mini Shoeshine Horse in Iron | 2497441 | Home & Garden > Lighting > Lamps > Table Lamps | none | 0 | none | |
| 12426 | Vintage 40's Ceramic Cream Lamp with Flowers | 2497441 | Home & Garden > Lighting > Lamps > Table Lamps | none | 0 | none | |
| 19044 | Orlando Marble Based Lamp | 2497441 | Home & Garden > Lighting > Lamps > Table Lamps | none | 0 | none | |
| 19215 | Weave Table Lamp | 2497441 | Home & Garden > Lighting > Lamps > Table Lamps | none | 0 | none | |
| 19263 | Bella Ball Lamp | 2497441 | Home & Garden > Lighting > Lamps > Table Lamps | none | 0 | none | |
| 19283 | Mushroom Table Lamp | 2497441 | Home & Garden > Lighting > Lamps > Table Lamps | none | 0 | none | |
| 19382 | Kasbah Woven Lamp | 2497441 | Home & Garden > Lighting > Lamps > Table Lamps | none | 0 | none |