Fold 0 - Understanding why coefficient 45441 was selected
Tag: DENIM
Selected Coefficient: 45441
Taxonomy Path: 1.1.9
Taxonomy Name: Apparel & Accessories > Clothing > One-Pieces
Products with this tag: 9
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? |
|---|---|---|---|---|---|
| 45441 | 5.000397 | 1.1.9 | 9.1.1 (9*71^2 + 71 + 1) | Apparel & Accessories > Clothing > One-Pieces | Yes |
| 4360537 | 5.000595 | 1.1.13.12 | 12.13.1.1 (12*71^3 + 13*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | No |
| 1860201 | 5.000595 | 1.1.14.5 | 5.14.1.1 (5*71^3 + 14*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Shorts > Denim Shorts | No |
| 0 | 6.000397 | 0 | 0 (0) | No | |
| -3190953 | 6.000397 | -0.0.65.8 | -8.65.0.0 (-(8*71^3 + 65*71^2)) | No | |
| -756150 | 6.000397 | -0.0.8.2 | -2.8.0.0 (-(2*71^3 + 8*71^2)) | No | |
| -5484752 | 8.000000 | -2.2.23.15 | -15.23.2.2 (-(15*71^3 + 23*71^2 + 2*71 + 2)) | No | |
| -4360537 | 8.000000 | -1.1.13.12 | -12.13.1.1 (-(12*71^3 + 13*71^2 + 71 + 1)) | No |
These are the training products that have the "DENIM" tag (processing sequence 204). 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 |
|---|---|---|---|---|---|---|---|
| 10387 | Teddy Sweater - Denim | 4360537 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | none | 4315096 | TEDDY | |
| 9704 | Chanel Medium Wash Denim Raw Hem Shorts | 1860201 | Apparel & Accessories > Clothing > Shorts > Denim Shorts | none | 1814760 | 2023LAUNCH, BOTTOMS | |
| 923 | Fit For Success Jumpsuit | 45441 | Apparel & Accessories > Clothing > One-Pieces | none | 0 | JUMPSUITS | |
| 1086 | Ziggy Shortall | 45441 | Apparel & Accessories > Clothing > One-Pieces | none | 0 | FREE PEOPLEWE THE FREE, RETRO | |
| 10413 | Saturday Sweater - Denim | 0 | SATURDAY SWEATER | -45441 | none | ||
| 6132 | LEVIS: Women's Iconic Paneled Denim Maxi Skirt | -756150 | SKIRT | -801591 | none | ||
| 956 | Good 90'S Jeans | -3190953 | ROSE | -3236394 | RETRO | ||
| 957 | Good Legs Crop Mini Boot | -4360537 | JEANS, CASUAL | -4405978 | GOOD AMERICAN | ||
| 7955 | CD D C Womens Daisy Duke Motorcycle Denim Sleeveless Cropped Tied Button Front Top | -5484752 | BLACK, WHITE, SLEEVELESS SHIRT | -5530193 | 2XL, XS |