Fold 3 - Understanding why coefficient -333583360 was selected
Tag: BEAUTY
Selected Coefficient: -333583360
Taxonomy Path: -13.3.2.9.13
Taxonomy Name:
Products with this tag: 7
Unique residual values tried: 7
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? |
|---|---|---|---|---|---|
| -333583360 | 4.014283 | -13.3.2.9.13 | -13.9.2.3.13 (-(13*71^4 + 9*71^3 + 2*71^2 + 3*71 + 13)) | Yes | |
| 4040714144 | 4.014283 | 58.67.50.0.17.2 | 2.17.0.50.67.58 (2*71^5 + 17*71^4 + 50*71^2 + 67*71 + 58) | No | |
| 536427849 | 4.028169 | 58.69.54.7.21 | 21.7.54.69.58 (21*71^4 + 7*71^3 + 54*71^2 + 69*71 + 58) | No | |
| 2035349273 | 6.000000 | 12.2.53.6.9.1 | 1.9.6.53.2.12 (1804229351 + 9*71^4 + 6*71^3 + 53*71^2 + 2*71 + 12) | No | |
| 52950371 | 6.000000 | 62.66.66.5.2 | 2.5.66.66.62 (2*71^4 + 5*71^3 + 66*71^2 + 66*71 + 62) | No | |
| -1935816 | 6.000000 | -1.1.29.5 | -5.29.1.1 (-(5*71^3 + 29*71^2 + 71 + 1)) | No | |
| 7289435 | 6.000000 | 7.2.26.20 | 20.26.2.7 (20*71^3 + 26*71^2 + 2*71 + 7) | No |
These are the training products that have the "BEAUTY" tag (processing sequence 728). 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 |
|---|---|---|---|---|---|---|---|
| 3090 | Eco By Sonya Super Fruit Toner - ON SALE! | 4040714144 | ORGANIC, FACIAL | 4374297504 | none | ||
| 2968 | Aotearoad All-Natural & Plastic Waste-Free Lip Balms - ON SALE! | 2035349273 | BEACH | 2368932633 | BIO-DEGRADABLE, BIODEGRADABLE, COMPOSTABLE, DRY SKIN | ||
| 3152 | Eco By Sonya Face Compost Purple Power Face Mask - ON SALE! | 536427849 | FACIAL, SCRUB, ANTIOXIDANT | 870011209 | DRY SKIN, ECZEMA, EXFOLIATION, ENZYME | ||
| 3181 | Ultimate Life Natural Vitamin E Cream | 52950371 | ALL AGES, ANTI-AGEING, BABIES | 386533731 | DRY SKIN, ECZEMA, HORMONE BALANCE, INFANTS | ||
| 8831 | Valentines Day Bundle Love Day Celebration Valentines 20 Designs Bundle Love Cupid Jesus Cute Valentines SVG Retro True Love Valentine Shirts SVG PNG Cutting Designs Print Sublimation | 7289435 | PORTRAIT | 340872795 | none | ||
| 3091 | Eco Tan Invisible Tan Self Tan & Bronzer - Organic! | -1935816 | ORGANIC, BEACH | 331647544 | BODY OIL, SUN | ||
| 3074 | Absolute Essential Avocado Oil (Organic) - ON SALE! | -333583360 | FACIAL, ANTI-AGEING | 0 | BODY OIL, CARRIER OIL, SKIN CARE INGREDIENTS, STRETCH MARKS |