Fold 1 - Understanding why coefficient 262 was selected
Tag: HEALTH
Selected Coefficient: 262
Taxonomy Path: 13.3
Taxonomy Name:
Products with this tag: 7
Unique residual values tried: 7
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? |
|---|---|---|---|---|---|
| 262 | 5.012048 | 13.3 | 3.13 (3*83 + 13) | Yes | |
| 2452580 | 5.012048 | 13.1.24.4 | 4.24.1.13 (4*83^3 + 24*83^2 + 83 + 13) | Health & Beauty > Health Care > Supports & Braces > Knee Braces | No |
| -56014 | 6.000000 | -72.10.8 | -8.10.72 (-(8*83^2 + 10*83 + 72)) | No | |
| -2342088 | 6.000000 | -77.80.7.4 | -4.7.80.77 (-(4*83^3 + 7*83^2 + 80*83 + 77)) | No | |
| 186170 | 6.000000 | 1.2.27 | 27.2.1 (27*83^2 + 2*83 + 1) | No | |
| 137793612 | 6.000000 | 0.81.81.74.2 | 2.74.81.81.0 (2*83^4 + 74*83^3 + 81*83^2 + 81*83) | No | |
| -606565 | 6.000000 | -1.4.5.1 | -1.5.4.1 (-(571787 + 5*83^2 + 4*83 + 1)) | No |
These are the training products that have the "HEALTH" tag (processing sequence 7105). 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 |
|---|---|---|---|---|---|---|---|
| 27053 | Milk Thistle | 137793612 | IMMUNE, DETOX | 137793350 | none | ||
| 5076 | Knee booster Joint Support Knee Pads | 2452580 | Health & Beauty > Health Care > Supports & Braces > Knee Braces | none | 2452318 | none | |
| 5063 | Anti Blue ray Glasses | 186170 | none | 185908 | none | ||
| 15176 | "Signature Scent" Snap Applicator | 262 | none | 0 | none | ||
| 228 | St Christopher Medal Rose Quartz Necklace | -56014 | NECKLACE, SAFETY | -56276 | none | ||
| 9990 | Homemade Natural Mala Necklace | -606565 | MEDITATION | -606827 | none | ||
| 5077 | MOSQUITO DESTROYER LAMP | -2342088 | GADGET | -2342350 | none |