Fold 0 - Understanding why coefficient 7816 was selected
Tag: PARTY FAVOR
Selected Coefficient: 7816
Taxonomy Path: 14.11.1
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? |
|---|---|---|---|---|---|
| 7816 | 11.012048 | 14.11.1 | 1.11.14 (6889 + 11*83 + 14) | Yes | |
| 399825 | 11.036145 | 14.3.58 | 58.3.14 (58*83^2 + 3*83 + 14) | No | |
| 0 | 12.012048 | 0 | 0 (0) | No | |
| -239758531 | 12.024096 | -0.8.26.4.5 | -5.4.26.8.0 (-(5*83^4 + 4*83^3 + 26*83^2 + 8*83)) | No | |
| 7222 | 13.012048 | 1.4.1 | 1.4.1 (6889 + 4*83 + 1) | No | |
| 1094 | 13.012048 | 15.13 | 13.15 (13*83 + 15) | No | |
| 165503 | 13.012048 | 1.2.24 | 24.2.1 (24*83^2 + 2*83 + 1) | No | |
| 244884294 | 13.012048 | 15.12.23.13.5 | 5.13.23.12.15 (5*83^4 + 13*83^3 + 23*83^2 + 12*83 + 15) | No | |
| 285356333 | 14.000000 | 9.2.5.1.6 | 6.1.5.2.9 (6*83^4 + 571787 + 5*83^2 + 2*83 + 9) | No | |
| 234322 | 14.000000 | 13.1.34 | 34.1.13 (34*83^2 + 83 + 13) | No | |
| 2879778 | 14.000000 | 10.2.3.5 | 5.3.2.10 (5*83^3 + 3*83^2 + 2*83 + 10) | No | |
| -240220357 | 14.000000 | -14.11.10.5.5 | -5.5.10.11.14 (-(5*83^4 + 5*83^3 + 10*83^2 + 11*83 + 14)) | No |
These are the training products that have the "PARTY FAVOR" tag (processing sequence 6888). 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 |
|---|---|---|---|---|---|---|---|
| 24555 | White Chocolate Dipped Red Licorice | 285356333 | ARTISAN | 285348517 | none | ||
| 6397 | BAB - Custom Father Dad Essential - T-Shirt | 244884294 | GIRLS GIFT | 244876478 | none | ||
| 13067 | Pawsome Party Adoption Box Party Favor | 3 ct | 2879778 | BOX | 2871962 | none | ||
| 6265 | Zeta Phi Beta Sorority, Inc. (Archonette) Balloons | 399825 | SORORITY, GIRLS GIFT | 392009 | none | ||
| 6145 | Zeta Phi Beta Sorority, Inc. (Amicae) Balloons | 234322 | AMICAE, SORORITY, GIRLS GIFT | 226506 | none | ||
| 6336 | Zeta Phi Beta Sorority, Inc, Button Pin | 165503 | none | 157687 | none | ||
| 6459 | Insulated Wine Glass Tumbler - Zeta Doctor | 7816 | none | 0 | none | ||
| 6484 | Insulated Wine Glass Tumbler - Birthday Drip | 7816 | none | 0 | none | ||
| 6412 | Insulated Wine Glass Tumbler - Stay out of my quarantine “Bubble” | 7816 | none | 0 | none | ||
| 6186 | Zeta Phi Beta Key Chain Tag | 7222 | SORORITY, GIRLS GIFT | -594 | none | ||
| 6255 | Tote 5 - Zeta Phi Beta Sorority, Incorporated | 1094 | none | -6722 | none | ||
| 6335 | BAB - "Besties" Coffee/Tea Mug | 0 | SORORITY | -7816 | none | ||
| 6133 | Zeta Button Pin (Seal) | 0 | AMICAE | -7816 | none | ||
| 6175 | Zeta Phi Beta 10" Ceramic White Vase | -239758531 | SORORITY | -239766347 | none | ||
| 6112 | Alpha Omega Phi (Classic) Button Pin | -240220357 | AMICAE, SORORITY | -240228173 | none |