Fold 3 - Understanding why coefficient 15804764467 was selected
Tag: WATER
Selected Coefficient: 15804764467
Taxonomy Path: 0.0.0.2.1.4
Taxonomy Name:
Products with this tag: 5
Unique residual values tried: 5
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? |
|---|---|---|---|---|---|
| 15804764467 | 2.000002 | 0.0.0.2.1.4 | 4.1.2.0.0.0 (4*83^5 + 47458321 + 2*83^3) | Yes | |
| 657868389276 | 2.000002 | 0.0.0.2.1.1.2 | 2.1.1.2.0.0.0 (2*83^6 + 3939040643 + 47458321 + 2*83^3) | No | |
| 0 | 2.000003 | 0 | 0 (0) | No | |
| -2500708 | 4.000000 | -1.0.31.4 | -4.31.0.1 (-(4*83^3 + 31*83^2 + 1)) | No | |
| -1094 | 4.000000 | -15.13 | -13.15 (-(13*83 + 15)) | No |
These are the training products that have the "WATER" tag (processing sequence 6978). 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 |
|---|---|---|---|---|---|---|---|
| 27437 | Ocean Wave #1 | 657868389276 | LANDSCAPE | 642063624809 | none | ||
| 27501 | Adrift | 15804764467 | LANDSCAPE | 0 | none | ||
| 27432 | Ocean Wave #3 | 0 | LANDSCAPE | -15804764467 | none | ||
| 17635 | Later Alligator Dog Bandana | -1094 | DOG BANDANA, CROCODILE | -15804765561 | none | ||
| 11269 | Lucy's In The Sky | -2500708 | ATHLETIC, TIE DYE | -15807265175 | none |