Fold 1 - Understanding why coefficient 1253894 was selected
Tag: ANTISEPTIC
Selected Coefficient: 1253894
Taxonomy Path: 13.1.16.2
Taxonomy Name:
Products with this tag: 6
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? |
|---|---|---|---|---|---|
| 1253894 | 4.000002 | 13.1.16.2 | 2.16.1.13 (2*83^3 + 16*83^2 + 83 + 13) | Yes | |
| 1825681 | 4.000002 | 13.1.16.3 | 3.16.1.13 (3*83^3 + 16*83^2 + 83 + 13) | No | |
| -2363189 | 4.000145 | -13.3.11.4 | -4.11.3.13 (-(4*83^3 + 11*83^2 + 3*83 + 13)) | No | |
| -668495 | 4.000145 | -13.3.14.1 | -1.14.3.13 (-(571787 + 14*83^2 + 3*83 + 13)) | No | |
| 0 | 5.000000 | 0 | 0 (0) | No | |
| 4637141 | 5.000000 | 14.10.9.8 | 8.9.10.14 (8*83^3 + 9*83^2 + 10*83 + 14) | Home & Garden > Household Supplies > Laundry Supplies > Fabric Stain Removers | No |
These are the training products that have the "ANTISEPTIC" tag (processing sequence 4550). 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 |
|---|---|---|---|---|---|---|---|
| 3104 | Global Soap Stain Remover Soap | 4637141 | Home & Garden > Household Supplies > Laundry Supplies > Fabric Stain Removers | none | 3383247 | SCRUB, LAUNDRY, CLEANING | |
| 19870 | Juniper Berry Extract | 1825681 | none | 571787 | SIMPLE EXTRACTS | ||
| 19853 | Herbal Throat Spray - Orange | 1253894 | none | 0 | none | ||
| 2969 | Barrier Gold Kānuka Essential Oil (Organic) | 0 | WOUND CARE | -1253894 | FIRST AID, JOINT FUNCTION, JOINT PAIN | ||
| 3138 | Natural Solutions East Cape 4% Mānuka Oil Blend- Mild | -668495 | FEET, SKIN CARE INGREDIENTS | -1922389 | MANUKA, SKIN INFECTION | ||
| 3080 | Absolute Essential Bergamot Essential Oil (Organic) | -2363189 | DIFFUSION, WOUND CARE | -3617083 | FOCUS, FIRST AID |