Fold 4 - Understanding why coefficient 149877346 was selected
Tag: HAIR
Selected Coefficient: 149877346
Taxonomy Path: 13.3.10.13.3
Taxonomy Name:
Products with this tag: 20
Unique residual values tried: 10
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 | 8.000007 | 13.3.10.13.3 | 3.13.10.3.13 (3*83^4 + 13*83^3 + 10*83^2 + 3*83 + 13) | Yes | |
| 54960704 | 8.000007 | 13.3.10.13.1 | 1.13.10.3.13 (47458321 + 13*83^3 + 10*83^2 + 3*83 + 13) | No | |
| 102990812 | 8.000017 | 13.3.10.14.2 | 2.14.10.3.13 (2*83^4 + 14*83^3 + 10*83^2 + 3*83 + 13) | No | |
| 195620306 | 8.000019 | 13.3.10.10.4 | 4.10.10.3.13 (4*83^4 + 10*83^3 + 10*83^2 + 3*83 + 13) | No | |
| 3499874 | 8.000019 | 13.3.10.6 | 6.10.3.13 (6*83^3 + 10*83^2 + 3*83 + 13) | No | |
| 0 | 16.000000 | 0 | 0 (0) | No | |
| 85698898 | 18.000002 | 70.79.72.66.1 | 1.66.72.79.70 (47458321 + 66*83^3 + 72*83^2 + 79*83 + 70) | No | |
| -195620306 | 18.000002 | -13.3.10.10.4 | -4.10.10.3.13 (-(4*83^4 + 10*83^3 + 10*83^2 + 3*83 + 13)) | No | |
| 27820 | 19.000000 | 15.3.4 | 4.3.15 (4*83^2 + 3*83 + 15) | No | |
| -8122298 | 19.000000 | -1.2.17.14 | -14.17.2.1 (-(14*83^3 + 17*83^2 + 2*83 + 1)) | No |
These are the training products that have the "HAIR" tag (processing sequence 5938). 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 |
|---|---|---|---|---|---|---|---|
| 30621 | O'Douds - All Natural Standard Pomade (Firm Hold, Cedar Citrus Scent) | 195620306 | none | 45742960 | none | ||
| 25653 | Agave Nectar Organic Shampoo Bar | 149877346 | none | 0 | none | ||
| 25670 | Apple Cider Hibiscus Organic Shampoo Bar | 149877346 | none | 0 | none | ||
| 25707 | Ultra Sensitive Shampoo & Body Wash Bar Fragrance-Free | 149877346 | none | 0 | none | ||
| 25713 | White Orchid Ginseng Organic Shampoo Bar | 149877346 | none | 0 | none | ||
| 25826 | Castor Oil Nourishing Shampoo Bar | 149877346 | none | 0 | none | ||
| 25830 | Coconut Milk Thai Lime Organic Shampoo Bar | 149877346 | none | 0 | none | ||
| 1014 | Jamaican Black Castor Oil | 102990812 | none | -46886534 | none | ||
| 3136 | Native Neem Organic Neem Oil | 102990812 | none | -46886534 | PETS, REUSABLE | ||
| 21023 | KEVIN.MURPHY Bedroom Hair 250ml | 85698898 | SHAMPOO, CONDITIONER | -64178448 | none | ||
| 25755 | Shea Butter Nourishing Conditioner Bar | 54960704 | none | -94916642 | none | ||
| 25708 | UNIVERSAL SOLID CONDITIONER BAR | 54960704 | none | -94916642 | none | ||
| 16490 | GrandeHAIR Retail | 3499874 | none | -146377472 | none | ||
| 25701 | Transport Bag For Solid Shampoo | 27820 | none | -149849526 | none | ||
| 23096 | Mojo Hair Men’s Luxury Shampoo (200ml / 6.76fl.oz) | 0 | SHAMPOO | -149877346 | none | ||
| 7205 | I LOVE MY DOG TRUCKER MESH CAP | 0 | EMBROIDERED, DISTRESSED | -149877346 | none | ||
| 3107 | Green Trading Organic Amla Capsules - 500mg | 0 | VITAMIN | -149877346 | none | ||
| 23090 | Mojo Hair Men’s Luxury Conditioner (200ml / 6.76fl.oz) | 0 | CONDITIONER | -149877346 | none | ||
| 7108 | BARN HAIR DON'T CARE TRUCKER MESH | -8122298 | FARM, EMBROIDERED, DISTRESSED | -157999644 | none | ||
| 23089 | Mojo Hair Defining Paste Strong Hold & Natural Matte Finish Luxury Fragrance Washes Out Easily (75ml / 64g / 2.53fl.oz) | -195620306 | STYLING, 75ML | -345497652 | none |