Fold 1 - Understanding why coefficient 18975 was selected
Tag: BAG
Selected Coefficient: 18975
Taxonomy Path: 15.3.3
Taxonomy Name: Luggage & Bags > Cosmetic & Toiletry Bags > Makeup Bags
Products with this tag: 19
Unique residual values tried: 8
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? |
|---|---|---|---|---|---|
| 18975 | 10.063291 | 15.3.3 | 3.3.15 (3*79^2 + 3*79 + 15) | Luggage & Bags > Cosmetic & Toiletry Bags > Makeup Bags | Yes |
| 805 | 10.088608 | 15.10 | 10.15 (10*79 + 15) | Luggage & Bags > Messenger Bags | No |
| 99950 | 10.088768 | 15.1.16 | 16.1.15 (16*79^2 + 79 + 15) | Luggage & Bags > Backpacks > Laptop Backpacks | No |
| 94 | 10.088768 | 15.1 | 1.15 (79 + 15) | Luggage & Bags > Backpacks | No |
| 50654 | 10.101266 | 15.9.8 | 8.9.15 (8*79^2 + 9*79 + 15) | Luggage & Bags > Luggage Accessories > Travel Pouches | No |
| 0 | 11.000000 | 0 | 0 (0) | No | |
| 18883 | 18.000000 | 2.2.3 | 3.2.2 (3*79^2 + 2*79 + 2) | Animals & Pet Supplies > Pet Supplies > Dog Supplies | No |
| -3482859 | 18.000000 | -65.4.5.7 | -7.5.4.65 (-(7*79^3 + 5*79^2 + 4*79 + 65)) | No |
These are the training products that have the "BAG" tag (processing sequence 2467). 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 | 99950 | Luggage & Bags > Backpacks > Laptop Backpacks | none | 80975 | BACKPACK | |
| 11600 | 10" x 4" Bottle Holder - Khaki | 50654 | Luggage & Bags > Luggage Accessories > Travel Pouches | none | 31679 | none | |
| 10700 | Stripe, Aqua on White Zipper Pouch | 18975 | Luggage & Bags > Cosmetic & Toiletry Bags > Makeup Bags | none | 0 | none | |
| 10686 | Wild Chervil, Dusky Blue on White Zipper Pouch | 18975 | Luggage & Bags > Cosmetic & Toiletry Bags > Makeup Bags | none | 0 | none | |
| 10683 | Wild Chervil, Villandry Blue on Stone Zipper Pouch | 18975 | Luggage & Bags > Cosmetic & Toiletry Bags > Makeup Bags | none | 0 | none | |
| 7939 | Luxe Lash Pouch | 18975 | Luggage & Bags > Cosmetic & Toiletry Bags > Makeup Bags | none | 0 | none | |
| 12341 | Custom Order | 18883 | Animals & Pet Supplies > Pet Supplies > Dog Supplies | none | -92 | BACKPACK, BOWL | |
| 19300 | Nobu Bag - Purple Passion | 805 | Luggage & Bags > Messenger Bags | none | -18170 | none | |
| 19198 | Nobu Bag - Neon Vibes | 805 | Luggage & Bags > Messenger Bags | none | -18170 | none | |
| 17811 | Evolve Backpack | 94 | Luggage & Bags > Backpacks | none | -18881 | PLACCDLR | |
| 10716 | Fidra, Mussel Blotch on Dune Zipper Pouch | 0 | PEONY&SAGE | -18975 | none | ||
| 10717 | Pez Fish Weathered Blue on Cream Zipper Pouch | 0 | PEONY&SAGE | -18975 | none | ||
| 10725 | Seagull Navy on Stone Zipper Pouch | 0 | PEONY&SAGE | -18975 | none | ||
| 10726 | Seagull Old Blue on Stone Zipper Pouch | 0 | PEONY&SAGE | -18975 | none | ||
| 10688 | Veja, Squid Ink Blue on Cream Zipper Pouch | 0 | PEONY&SAGE | -18975 | none | ||
| 10687 | Veja, Gustavian Blue on Cream Zipper Pouch | 0 | PEONY&SAGE | -18975 | none | ||
| 10701 | Stripe, Durlston Blue on Stone Zipper Pouch | 0 | PEONY&SAGE | -18975 | none | ||
| 10702 | Fidra, Heath Blotch on Dune Zipper Pouch | 0 | PEONY&SAGE | -18975 | none | ||
| 10255 | MICHAEL KORS Wallet on chain crossbody bag | -3482859 | WALLET | -3501834 | none |