Fold 1 - Understanding why coefficient 20931 was selected
Tag: BAG
Selected Coefficient: 20931
Taxonomy Path: 15.3.3
Taxonomy Name:
Products with this tag: 23
Unique residual values tried: 9
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? |
|---|---|---|---|---|---|
| 20931 | 11.096386 | 15.3.3 | 3.3.15 (3*83^2 + 3*83 + 15) | Yes | |
| 98 | 11.108579 | 15.1 | 1.15 (83 + 15) | No | |
| 110322 | 11.108724 | 15.1.16 | 16.1.15 (16*83^2 + 83 + 15) | No | |
| 1094 | 11.120482 | 15.13 | 13.15 (13*83 + 15) | No | |
| 845 | 11.120482 | 15.10 | 10.15 (10*83 + 15) | No | |
| 55874 | 11.132530 | 15.9.8 | 8.9.15 (8*83^2 + 9*83 + 15) | No | |
| 0 | 14.000000 | 0 | 0 (0) | No | |
| -4037355 | 22.000000 | -69.4.5.7 | -7.5.4.69 (-(7*83^3 + 5*83^2 + 4*83 + 69)) | No | |
| 19741 | 22.000000 | 70.71.2 | 2.71.70 (2*83^2 + 71*83 + 70) | No |
These are the training products that have the "BAG" tag (processing sequence 4354). 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 |
|---|---|---|---|---|---|---|---|
| 10490 | Men Backpack Casual Fashion Laptop Anti-theft Notebook School Bag with USB Port | 110322 | none | 89391 | BACKPACK, SCHOOL | ||
| 11600 | 10" x 4" Bottle Holder - Khaki | 55874 | none | 34943 | WATER BOTTLE | ||
| 10683 | Wild Chervil, Villandry Blue on Stone Zipper Pouch | 20931 | none | 0 | none | ||
| 10686 | Wild Chervil, Dusky Blue on White Zipper Pouch | 20931 | none | 0 | none | ||
| 7939 | Luxe Lash Pouch | 20931 | none | 0 | none | ||
| 10700 | Stripe, Aqua on White Zipper Pouch | 20931 | none | 0 | none | ||
| 12341 | Custom Order | 19741 | TOTE | -1190 | BACKPACK, BOWL | ||
| 31200 | PALMA MINI BAG, RESIN YELLOW CELLULOSE RAFFIA | 1094 | none | -19837 | none | ||
| 10256 | HOBO International Explorer Bag | 1094 | none | -19837 | none | ||
| 19300 | Nobu Bag - Purple Passion | 845 | none | -20086 | none | ||
| 19197 | Nobu Bag - William | 845 | none | -20086 | none | ||
| 32029 | Myra Must Have Backpack | 98 | none | -20833 | HAIRON | ||
| 17811 | Evolve Backpack | 98 | none | -20833 | PLACCDLR | ||
| 10724 | Seagull Oatmeal on Stone Blue Zipper Pouch | 0 | PEONY&SAGE | -20931 | none | ||
| 10726 | Seagull Old Blue on Stone Zipper Pouch | 0 | PEONY&SAGE | -20931 | none | ||
| 10717 | Pez Fish Weathered Blue on Cream Zipper Pouch | 0 | PEONY&SAGE | -20931 | none | ||
| 10716 | Fidra, Mussel Blotch on Dune Zipper Pouch | 0 | PEONY&SAGE | -20931 | none | ||
| 10725 | Seagull Navy on Stone Zipper Pouch | 0 | PEONY&SAGE | -20931 | none | ||
| 10702 | Fidra, Heath Blotch on Dune Zipper Pouch | 0 | PEONY&SAGE | -20931 | none | ||
| 10688 | Veja, Squid Ink Blue on Cream Zipper Pouch | 0 | PEONY&SAGE | -20931 | none | ||
| 20921 | Go Vegan Revolution Logo With Text Tote Bag - Assorted Colors | 0 | TOTE | -20931 | HEALTHY | ||
| 10687 | Veja, Gustavian Blue on Cream Zipper Pouch | 0 | PEONY&SAGE | -20931 | none | ||
| 10255 | MICHAEL KORS Wallet on chain crossbody bag | -4037355 | WALLET | -4058286 | none |