Fold 3 - Understanding why coefficient 1253894 was selected
Tag: KIDS PAGE
Selected Coefficient: 1253894
Taxonomy Path: 13.1.16.2
Taxonomy Name:
Products with this tag: 10
Unique residual values tried: 9
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? |
|---|---|---|---|---|---|
| 237925489 | 7.012193 | 13.1.9.1.5 | 5.1.9.1.13 (5*83^4 + 571787 + 9*83^2 + 83 + 13) | No | |
| 1253894 | 7.012193 | 13.1.16.2 | 2.16.1.13 (2*83^3 + 16*83^2 + 83 + 13) | Yes | |
| 262 | 7.024096 | 13.3 | 3.13 (3*83 + 13) | No | |
| -2969255 | 8.000000 | -13.1.16.5 | -5.16.1.13 (-(5*83^3 + 16*83^2 + 83 + 13)) | No | |
| -241817678 | 8.000145 | -0.0.76.7.5 | -5.7.76.0.0 (-(5*83^4 + 7*83^3 + 76*83^2)) | No | |
| 236671595 | 8.000145 | 0.0.76.81.4 | 4.81.76.0.0 (4*83^4 + 81*83^3 + 76*83^2) | No | |
| 9134207943 | 9.000000 | 9.2.70.38.26.2 | 2.26.38.70.2.9 (2*83^5 + 26*83^4 + 38*83^3 + 70*83^2 + 2*83 + 9) | No | |
| 159425151 | 9.000000 | 79.81.67.29.3 | 3.29.67.81.79 (3*83^4 + 29*83^3 + 67*83^2 + 81*83 + 79) | No | |
| 773084454 | 9.000000 | 44.10.4.24.16 | 16.24.4.10.44 (16*83^4 + 24*83^3 + 4*83^2 + 10*83 + 44) | No |
These are the training products that have the "KIDS PAGE" tag (processing sequence 6396). 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 |
|---|---|---|---|---|---|---|---|
| 19845 | Golden Flower Salve | 9134207943 | CALENDULA | 9132954049 | SALVES | ||
| 19765 | Deep Breath Salve | 773084454 | ROSEMARY, TREE | 771830560 | SALVES | ||
| 19871 | Kids Immune Boost GLYCERITE | 237925489 | KIDS GLYCERITES | 236671595 | none | ||
| 19822 | Elderberry Elixir | 236671595 | COLD, KIDS GLYCERITES | 235417701 | none | ||
| 19725 | Sinus Clear Formula GLYCERITE | 159425151 | CONGESTION, KIDS GLYCERITES, ALLERGY, CALENDULA | 158171257 | none | ||
| 19853 | Herbal Throat Spray - Orange | 1253894 | none | 0 | none | ||
| 19863 | Itch Re-Leaf | 262 | none | -1253632 | none | ||
| 19752 | Buhner Pan-Kit GLYCERITE SINGLES | -2969255 | ELEUTHERO, ISATIS, KIDS GLYCERITES, RED SAGE | -4223149 | none | ||
| 19891 | Neurocore Formula GLYCERITE | -2969255 | ELEUTHERO, BRAIN, KIDS GLYCERITES | -4223149 | none | ||
| 19972 | Tummy Comfort GLYCERITE | -241817678 | KIDS GLYCERITES, DIGESTION | -243071572 | none |