Fold 1 - Understanding why coefficient 149877346 was selected
Tag: HAIR
Selected Coefficient: 149877346
Taxonomy Path: 13.3.10.13.3
Taxonomy Name:
Products with this tag: 14
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? |
|---|---|---|---|---|---|
| 149877346 | 6.000005 | 13.3.10.13.3 | 3.13.10.3.13 (3*83^4 + 13*83^3 + 10*83^2 + 3*83 + 13) | Yes | |
| 54960704 | 6.000005 | 13.3.10.13.1 | 1.13.10.3.13 (47458321 + 13*83^3 + 10*83^2 + 3*83 + 13) | No | |
| 102990812 | 6.000010 | 13.3.10.14.2 | 2.14.10.3.13 (2*83^4 + 14*83^3 + 10*83^2 + 3*83 + 13) | No | |
| 290536948 | 6.000012 | 13.3.10.10.6 | 6.10.10.3.13 (6*83^4 + 10*83^3 + 10*83^2 + 3*83 + 13) | No | |
| 0 | 11.000000 | 0 | 0 (0) | No | |
| 85698898 | 13.000000 | 70.79.72.66.1 | 1.66.72.79.70 (47458321 + 66*83^3 + 72*83^2 + 79*83 + 70) | No | |
| 8122283 | 13.000000 | 69.1.17.14 | 14.17.1.69 (14*83^3 + 17*83^2 + 83 + 69) | No | |
| -15 | 13.000000 | -15 | -15 (-(15)) | No |
These are the training products that have the "HAIR" tag (processing sequence 5323). 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 |
|---|---|---|---|---|---|---|---|
| 1728 | Hair Fixing Spray for Hair Fiber | 290536948 | none | 140659602 | none | ||
| 25713 | White Orchid Ginseng Organic Shampoo Bar | 149877346 | none | 0 | none | ||
| 25653 | Agave Nectar Organic Shampoo Bar | 149877346 | none | 0 | none | ||
| 25830 | Coconut Milk Thai Lime Organic Shampoo Bar | 149877346 | none | 0 | none | ||
| 25826 | Castor Oil Nourishing Shampoo Bar | 149877346 | none | 0 | none | ||
| 1014 | Jamaican Black Castor Oil | 102990812 | none | -46886534 | none | ||
| 3136 | Native Neem Organic Neem Oil | 102990812 | none | -46886534 | REUSABLE, PETS | ||
| 21023 | KEVIN.MURPHY Bedroom Hair 250ml | 85698898 | SHAMPOO, CONDITIONER | -64178448 | none | ||
| 25755 | Shea Butter Nourishing Conditioner Bar | 54960704 | none | -94916642 | none | ||
| 7205 | I LOVE MY DOG TRUCKER MESH CAP | 8122283 | EMBROIDERED | -141755063 | DISTRESSED | ||
| 16493 | GrandeHAIR Full Boost Shampoo Retail | 0 | SHAMPOO | -149877346 | none | ||
| 23096 | Mojo Hair Men’s Luxury Shampoo (200ml / 6.76fl.oz) | 0 | SHAMPOO | -149877346 | none | ||
| 23089 | Mojo Hair Defining Paste Strong Hold & Natural Matte Finish Luxury Fragrance Washes Out Easily (75ml / 64g / 2.53fl.oz) | 0 | 75ML | -149877346 | none | ||
| 7108 | BARN HAIR DON'T CARE TRUCKER MESH | -15 | FARM, EMBROIDERED | -149877361 | DISTRESSED |