Fold 0 - Understanding why coefficient 4037063 was selected
Tag: TOOLS
Selected Coefficient: 4037063
Taxonomy Path: 26.1.5.7
Taxonomy Name:
Products with this tag: 14
Unique residual values tried: 10
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? |
|---|---|---|---|---|---|
| 4037063 | 10.000002 | 26.1.5.7 | 7.5.1.26 (7*83^3 + 5*83^2 + 83 + 26) | Yes | |
| 4370202595 | 10.000002 | 26.1.5.7.9.1 | 1.9.7.5.1.26 (3939040643 + 9*83^4 + 7*83^3 + 5*83^2 + 83 + 26) | No | |
| 48636449 | 10.000005 | 26.1.5.2.1 | 1.2.5.1.26 (47458321 + 2*83^3 + 5*83^2 + 83 + 26) | No | |
| 552377 | 10.000145 | 12.15.80 | 80.15.12 (80*83^2 + 15*83 + 12) | No | |
| 1257 | 10.000435 | 12.15 | 15.12 (15*83 + 12) | No | |
| 89663 | 12.000000 | 23.1.13 | 13.1.23 (13*83^2 + 83 + 23) | No | |
| 2839177 | 13.000000 | 79.10.80.4 | 4.80.10.79 (4*83^3 + 80*83^2 + 10*83 + 79) | No | |
| 138042 | 13.000000 | 13.3.20 | 20.3.13 (20*83^2 + 3*83 + 13) | No | |
| 431073022 | 13.000000 | 72.8.75.6.9 | 9.6.75.8.72 (9*83^4 + 6*83^3 + 75*83^2 + 8*83 + 72) | No | |
| 55874 | 13.000000 | 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 6847). 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 |
|---|---|---|---|---|---|---|---|
| 21052 | Stan's NoTubes Tire Sealant Injector | 4370202595 | none | 4366165532 | none | ||
| 28238 | TopGraft - The Gardener's Grafter | 431073022 | GARDENING, RR_TRACK_HOUSEHOLD | 427035959 | none | ||
| 8619 | Waterless Wash Wax Mop Kits | 48636449 | none | 44599386 | none | ||
| 21173 | Silca Italian Army Knife Bicycle Tool - Nove | 4037063 | none | 0 | none | ||
| 21172 | Silca Italian Army Knife Bicycle Tool - Venti | 4037063 | none | 0 | none | ||
| 29458 | Urban Insect Nester | 2839177 | GARDENING | -1197886 | none | ||
| 21178 | Silca HX-TWO Travel Kit Hex & Torx Wrench Set | 552377 | none | -3484686 | none | ||
| 24718 | Feedback Sports Fixed 3-Way Hex Tool | 552377 | none | -3484686 | none | ||
| 21177 | Silca Ypsilon Y-Wrench and Bit Driver Tool | 552377 | none | -3484686 | none | ||
| 28480 | Klepki Lash Kit | 138042 | none | -3899021 | none | ||
| 21174 | Silca Italian Army Knife Bicycle Tool - Tredici | 89663 | none | -3947400 | none | ||
| 20956 | Feedback Sports Ride Prep Portable Tool Kit | 89663 | none | -3947400 | none | ||
| 21170 | Revelate Designs + Wolf Tooth ToolCash Wallet | 55874 | none | -3981189 | none | ||
| 8604 | Waterless Wash Wax Mop 15" with Deluxe Pole - Extends 3' 9" to 9' | 1257 | none | -4035806 | none |