Fold 0 - Understanding why coefficient 6115457 was selected
Tag: SPONGES AND HAND PADS
Selected Coefficient: 6115457
Taxonomy Path: 14.10.6.17
Taxonomy Name: Home & Garden > Household Supplies > Household Cleaning Supplies > Sponges & Scouring Pads
Products with this tag: 5
Unique residual values tried: 2
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? |
|---|---|---|---|---|---|
| 6115457 | 1.000000 | 14.10.6.17 | 17.6.10.14 (17*71^3 + 6*71^2 + 10*71 + 14) | Home & Garden > Household Supplies > Household Cleaning Supplies > Sponges & Scouring Pads | Yes |
| 26152805 | 4.000000 | 26.1.5.2.1 | 1.2.5.1.26 (25411681 + 2*71^3 + 5*71^2 + 71 + 26) | Vehicles & Parts > Vehicle Parts & Accessories > Vehicle Maintenance, Care & Decor > Vehicle Cleaning > Car Wash Brushes | No |
These are the training products that have the "SPONGES AND HAND PADS" tag (processing sequence 2135). 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 |
|---|---|---|---|---|---|---|---|
| 3394 | SPONGE/ Honey Comb Do-All Scrubber, Small | 26152805 | Vehicles & Parts > Vehicle Parts & Accessories > Vehicle Maintenance, Care & Decor > Vehicle Cleaning > Car Wash Brushes | none | 20037348 | none | |
| 3377 | SPONGE/ Aquazone WD Double Cell Foam Sponge, each | 6115457 | Home & Garden > Household Supplies > Household Cleaning Supplies > Sponges & Scouring Pads | none | 0 | none | |
| 3383 | SPONGE/ Cellulose Sponge with White Scrubber Pad, 6" X 3.5", 6 per pack | 6115457 | Home & Garden > Household Supplies > Household Cleaning Supplies > Sponges & Scouring Pads | none | 0 | none | |
| 3389 | SPONGE/ Honey Comb Do-All Scrubber, Large | 6115457 | Home & Garden > Household Supplies > Household Cleaning Supplies > Sponges & Scouring Pads | none | 0 | none | |
| 3411 | SPONGE/ Scrubex Blue Ripple Scrub Sponge, each | 6115457 | Home & Garden > Household Supplies > Household Cleaning Supplies > Sponges & Scouring Pads | none | 0 | none |