Fold 3 - Understanding why coefficient 552377 was selected
Tag: TOOLS
Selected Coefficient: 552377
Taxonomy Path: 12.15.80
Taxonomy Name:
Products with this tag: 15
Unique residual values tried: 12
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? |
|---|---|---|---|---|---|
| 552377 | 11.000145 | 12.15.80 | 80.15.12 (80*83^2 + 15*83 + 12) | Yes | |
| 1257 | 11.000435 | 12.15 | 15.12 (15*83 + 12) | No | |
| 4037063 | 12.000002 | 26.1.5.7 | 7.5.1.26 (7*83^3 + 5*83^2 + 83 + 26) | No | |
| 48636449 | 12.000003 | 26.1.5.2.1 | 1.2.5.1.26 (47458321 + 2*83^3 + 5*83^2 + 83 + 26) | No | |
| 15901982297 | 13.000145 | 13.3.2.6.3.4 | 4.3.6.2.3.13 (4*83^5 + 3*83^4 + 6*83^3 + 2*83^2 + 3*83 + 13) | No | |
| 138042 | 13.000145 | 13.3.20 | 20.3.13 (20*83^2 + 3*83 + 13) | No | |
| 189 | 13.012048 | 23.2 | 2.23 (2*83 + 23) | No | |
| 89663 | 13.012048 | 23.1.13 | 13.1.23 (13*83^2 + 83 + 23) | No | |
| 2839177 | 14.000000 | 79.10.80.4 | 4.80.10.79 (4*83^3 + 80*83^2 + 10*83 + 79) | No | |
| 1770912 | 14.000000 | 24.5.8.3 | 3.8.5.24 (3*83^3 + 8*83^2 + 5*83 + 24) | No | |
| 431073022 | 14.000000 | 72.8.75.6.9 | 9.6.75.8.72 (9*83^4 + 6*83^3 + 75*83^2 + 8*83 + 72) | No | |
| 55874 | 14.000000 | 15.9.8 | 8.9.15 (8*83^2 + 9*83 + 15) | No |
These are the training products that have the "TOOLS" tag (processing sequence 6902). 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 |
|---|---|---|---|---|---|---|---|
| 28493 | Lash Assistant Eyeliner Adhesive | 15901982297 | none | 15901429920 | none | ||
| 28238 | TopGraft - The Gardener's Grafter | 431073022 | GARDENING, RR_TRACK_HOUSEHOLD | 430520645 | none | ||
| 8619 | Waterless Wash Wax Mop Kits | 48636449 | none | 48084072 | none | ||
| 21172 | Silca Italian Army Knife Bicycle Tool - Venti | 4037063 | none | 3484686 | none | ||
| 21173 | Silca Italian Army Knife Bicycle Tool - Nove | 4037063 | none | 3484686 | none | ||
| 29458 | Urban Insect Nester | 2839177 | GARDENING | 2286800 | none | ||
| 25453 | Minifig Olive Green Jerry Can | 1770912 | none | 1218535 | none | ||
| 21178 | Silca HX-TWO Travel Kit Hex & Torx Wrench Set | 552377 | none | 0 | none | ||
| 21177 | Silca Ypsilon Y-Wrench and Bit Driver Tool | 552377 | none | 0 | none | ||
| 24718 | Feedback Sports Fixed 3-Way Hex Tool | 552377 | none | 0 | 4THOFJULY | ||
| 28480 | Klepki Lash Kit | 138042 | none | -414335 | none | ||
| 21174 | Silca Italian Army Knife Bicycle Tool - Tredici | 89663 | none | -462714 | none | ||
| 21170 | Revelate Designs + Wolf Tooth ToolCash Wallet | 55874 | none | -496503 | none | ||
| 8604 | Waterless Wash Wax Mop 15" with Deluxe Pole - Extends 3' 9" to 9' | 1257 | none | -551120 | none | ||
| 24717 | Feedback Sports Alpine Digital Scale | 189 | none | -552188 | 4THOFJULY |