Fold 3 - Understanding why coefficient 250 was selected
Tag: CLEANSE
Selected Coefficient: 250
Taxonomy Path: 13.3
Taxonomy Name: Health & Beauty > Personal Care
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? |
|---|---|---|---|---|---|
| 250 | 4.000320 | 13.3 | 3.13 (3*79 + 13) | Health & Beauty > Personal Care | Yes |
| 125070 | 4.000320 | 13.3.20 | 20.3.13 (20*79^2 + 3*79 + 13) | Health & Beauty > Personal Care > Personal Care Gift Sets & Kits | No |
| 123322410 | 4.000320 | 13.3.10.13.3 | 3.13.10.3.13 (3*79^4 + 13*79^3 + 10*79^2 + 3*79 + 13) | Health & Beauty > Personal Care > Hair Care > Shampoo & Conditioner > Shampoo | No |
| 10441193 | 4.012818 | 0.0.14.21 | 21.14.0.0 (21*79^3 + 14*79^2) | No | |
| 0 | 4.012818 | 0 | 0 (0) | No | |
| -176882264 | 4.025316 | -0.77.59.42.4 | -4.42.59.77.0 (-(4*79^4 + 42*79^3 + 59*79^2 + 77*79)) | No | |
| -187323707 | 6.000000 | -13.1.74.63.4 | -4.63.74.1.13 (-(4*79^4 + 63*79^3 + 74*79^2 + 79 + 13)) | No |
These are the training products that have the "CLEANSE" tag (processing sequence 3545). 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 |
|---|---|---|---|---|---|---|---|
| 3101 | Global Soap Shampoo Bars | 123322410 | Health & Beauty > Personal Care > Hair Care > Shampoo & Conditioner > Shampoo | none | 123322160 | HAIR CARE | |
| 3096 | Global Soap Beer Soap for Shower, Shampoo & Shave! | 10441193 | SCRUB, ANTIOXIDANT, NOURISHING | 10440943 | COFFEE | ||
| 5707 | BATH SALTS TRIO<br>SALT POUCHES | 125070 | Health & Beauty > Personal Care > Personal Care Gift Sets & Kits | none | 124820 | none | |
| 3098 | Global Soap Detox Skin Bar | 250 | Health & Beauty > Personal Care | none | 0 | none | |
| 3103 | Global Soap Coffee Scrub Soap | 0 | SCRUB, ANTIOXIDANT, NOURISHING | -250 | COFFEE | ||
| 3024 | Simple Naked Goat's Milk Shaving Bar with Bentonite Clay | -176882264 | NOURISHING | -176882514 | BODY | ||
| 3102 | Global Soap Shaving Soap with Tin | -187323707 | SCRUB, NOURISHING | -187323957 | none |