Fold 0 - Understanding why coefficient 783451703 was selected
Tag: DRY MATURE SKIN
Selected Coefficient: 783451703
Taxonomy Path: 13.3.2.9.20
Taxonomy Name: Health & Beauty > Personal Care > Cosmetics > Skin Care > Face Moisturizers
Products with this tag: 9
Unique residual values tried: 6
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? |
|---|---|---|---|---|---|
| 783451703 | 5.000000 | 13.3.2.9.20 | 20.9.2.3.13 (20*79^4 + 9*79^3 + 2*79^2 + 3*79 + 13) | Health & Beauty > Personal Care > Cosmetics > Skin Care > Face Moisturizers | Yes |
| 744501622 | 5.000000 | 13.3.2.9.19 | 19.9.2.3.13 (19*79^4 + 9*79^3 + 2*79^2 + 3*79 + 13) | Health & Beauty > Personal Care > Cosmetics > Skin Care > Eye Creams | No |
| 3432057211 | 5.000000 | 13.3.2.9.9.1 | 1.9.9.2.3.13 (3077056399 + 9*79^4 + 9*79^3 + 2*79^2 + 3*79 + 13) | Health & Beauty > Personal Care > Cosmetics > Skin Care > Lip Balms & Treatments > Lip Balms | No |
| 0 | 5.000160 | 0 | 0 (0) | No | |
| -1915987 | 5.000481 | -0.0.70.3 | -3.70.0.0 (-(3*79^3 + 70*79^2)) | No | |
| -125065 | 8.000000 | -8.3.20 | -20.3.8 (-(20*79^2 + 3*79 + 8)) | No |
These are the training products that have the "DRY MATURE SKIN" tag (processing sequence 3455). 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 |
|---|---|---|---|---|---|---|---|
| 13756 | Tahiti Tiare Cocoa Lip Butter | 3432057211 | Health & Beauty > Personal Care > Cosmetics > Skin Care > Lip Balms & Treatments > Lip Balms | none | 2648605508 | PROBLEM SKIN | |
| 13692 | Intensive Balm with Marshmallow & Frangipani | 783451703 | Health & Beauty > Personal Care > Cosmetics > Skin Care > Face Moisturizers | none | 0 | PROBLEM SKIN | |
| 13701 | Radiance Cream with Rose & Frankincense | 783451703 | Health & Beauty > Personal Care > Cosmetics > Skin Care > Face Moisturizers | none | 0 | AROMATHERAPY | |
| 13699 | Eye Serum with Rose & Starflower | 744501622 | Health & Beauty > Personal Care > Cosmetics > Skin Care > Eye Creams | none | -38950081 | none | |
| 13671 | Radiance Restore Collection | 0 | SKINCARE SET | -783451703 | AROMATHERAPY | ||
| 13652 | Radiance Restore Essentials Collection | 0 | SKINCARE SET | -783451703 | AROMATHERAPY | ||
| 13670 | The Ultimate Collection - Radiance Restore | 0 | SKINCARE SET | -783451703 | AROMATHERAPY | ||
| 13653 | Radiance Restore Complete Collection | -125065 | SKINCARE SET | -783576768 | AROMATHERAPY | ||
| 13719 | Carrot & Mango Cleansing Butter, Organic Muslin Set | -1915987 | SKINCARE SET, ORGANIC CLEANSER | -785367690 | PROBLEM SKIN, ROSEMARY |