Fold 0 - Understanding why coefficient 589 was selected
Tag: MISC
Selected Coefficient: 589
Taxonomy Path: 8.7
Taxonomy Name:
Products with this tag: 11
Unique residual values tried: 11
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? |
|---|---|---|---|---|---|
| 193360619 | 9.000145 | 1.2.14.6.4 | 4.6.14.2.1 (4*83^4 + 6*83^3 + 14*83^2 + 2*83 + 1) | No | |
| 220615 | 9.000145 | 1.2.32 | 32.2.1 (32*83^2 + 2*83 + 1) | No | |
| 589 | 9.000145 | 8.7 | 7.8 (7*83 + 8) | Yes | |
| 2342849 | 9.000145 | 8.7.8.4 | 4.8.7.8 (4*83^3 + 8*83^2 + 7*83 + 8) | No | |
| 240220354 | 9.012048 | 11.11.10.5.5 | 5.5.10.11.11 (5*83^4 + 5*83^3 + 10*83^2 + 11*83 + 11) | No | |
| 11 | 9.012048 | 11 | 11 (11) | No | |
| 7484 | 9.012048 | 14.7.1 | 1.7.14 (6889 + 7*83 + 14) | No | |
| 441159 | 9.012048 | 14.3.64 | 64.3.14 (64*83^2 + 3*83 + 14) | No | |
| 190983916 | 10.000000 | 3.2.1.2.4 | 4.2.1.2.3 (4*83^4 + 2*83^3 + 6889 + 2*83 + 3) | No | |
| 164 | 10.000000 | 81.1 | 1.81 (83 + 81) | No | |
| 0 | 10.000000 | 0 | 0 (0) | No |
These are the training products that have the "MISC" tag (processing sequence 7151). 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 |
|---|---|---|---|---|---|---|---|
| 18249 | Trekkie Sketch Mug with Colored Interior | 240220354 | UNDER $15 | 240219765 | none | ||
| 32220 | Hair Bow Felt Blanks | 193360619 | none | 193360030 | none | ||
| 32221 | I LOVE YOU Rectangle Felt Blanks | 190983916 | none | 190983327 | none | ||
| 18233 | Trekkie Sketch iPhone Case | 2342849 | none | 2342260 | none | ||
| 18258 | Peace Love LLAP Throw Pillow | 441159 | none | 440570 | none | ||
| 18248 | Sketch Style Mask | 220615 | none | 220026 | none | ||
| 18241 | Remembering Leonard Nimoy - Blu-ray Edition | 7484 | UNDER $15 | 6895 | none | ||
| 18232 | Trekkie Sketch Samsung Case | 589 | none | 0 | none | ||
| 18277 | Live Long and Prosper Metal Keychain | 164 | UNDER $15 | -425 | none | ||
| 18276 | Shop LLAP Gift Card | 11 | none | -578 | none | ||
| 18282 | Mr. Spock in Star Trek: The Animated Series Enamel Keychain | 0 | UNDER $15 | -589 | none |