Fold 3 - Understanding why coefficient 1178518 was selected
Tag: SOLID 9K GOLD
Selected Coefficient: 1178518
Taxonomy Path: 1.6.5.2
Taxonomy Name:
Products with this tag: 29
Unique residual values tried: 14
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? |
|---|---|---|---|---|---|
| 1178518 | 18.001018 | 1.6.5.2 | 2.5.6.1 (2*83^3 + 5*83^2 + 6*83 + 1) | Yes | |
| 606731 | 18.001021 | 1.6.5.1 | 1.5.6.1 (571787 + 5*83^2 + 6*83 + 1) | No | |
| 21166 | 18.001161 | 1.6.3 | 3.6.1 (3*83^2 + 6*83 + 1) | No | |
| 41833 | 18.001306 | 1.6.6 | 6.6.1 (6*83^2 + 6*83 + 1) | No | |
| 62500 | 18.001452 | 1.6.9 | 9.6.1 (9*83^2 + 6*83 + 1) | No | |
| 55611 | 18.001452 | 1.6.8 | 8.6.1 (8*83^2 + 6*83 + 1) | No | |
| 0 | 19.000290 | 0 | 0 (0) | No | |
| 20667 | 19.001306 | 0.0.3 | 3.0.0 (3*83^2) | No | |
| -27556 | 19.001306 | -0.0.4 | -4.0.0 (-(4*83^2)) | No | |
| -41833 | 24.000290 | -1.6.6 | -6.6.1 (-(6*83^2 + 6*83 + 1)) | No | |
| -499 | 24.000581 | -1.6 | -6.1 (-(6*83 + 1)) | No | |
| -7388 | 24.000581 | -1.6.1 | -1.6.1 (-(6889 + 6*83 + 1)) | No | |
| 186 | 27.000000 | 20.2 | 2.20 (2*83 + 20) | No | |
| -28554 | 28.000000 | -2.12.4 | -4.12.2 (-(4*83^2 + 12*83 + 2)) | No |
These are the training products that have the "SOLID 9K GOLD" tag (processing sequence 5978). 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 |
|---|---|---|---|---|---|---|---|
| 26083 | Heart Chakra Earring Charm 9k Gold | 1178518 | none | 0 | none | ||
| 26184 | Pearl & Turquoise Earring Charm 9k Gold | 1178518 | none | 0 | none | ||
| 26169 | Mini Pearl Moon Earring Charm 9k Gold | 1178518 | none | 0 | none | ||
| 26088 | Initial Letter Pendant 9k Gold | 606731 | none | -571787 | none | ||
| 26182 | Mystic Topaz & Grey Diamond Star Ring 9k Gold | 62500 | none | -1116018 | __LABEL:50% OFF | ||
| 26268 | Mini Coin Necklace 9k Gold | 55611 | none | -1122907 | none | ||
| 26175 | Moonstone Boho Huggie Hoop Earring 9k Gold | 41833 | none | -1136685 | none | ||
| 26277 | Turquoise & Diamond Flat Back Earring 9k Gold | 41833 | none | -1136685 | none | ||
| 26081 | Heart Chakra Bracelet 9k Gold | 21166 | none | -1157352 | __LABEL:50% OFF | ||
| 26278 | Turquoise Enamel Bracelet 9k Gold | 21166 | none | -1157352 | none | ||
| 26082 | Crown Chakra Bracelet 9k Gold | 21166 | none | -1157352 | __LABEL:50% OFF | ||
| 26271 | Semi-Precious Stone Hugging Ring 9k Gold | 20667 | FULL PRICE | -1157851 | none | ||
| 26077 | Hand of Fatima Amethyst Pendant 9k Gold | 186 | none | -1178332 | none | ||
| 26084 | Heart Chakra Pendant 9k Gold | 186 | none | -1178332 | none | ||
| 26174 | Mini Turquoise Trilogy Huggie Hoop Earring Pair 9k Gold | 0 | FULL PRICE | -1178518 | none | ||
| 26171 | Mini Tanzanite Solitaire Flat Back Earring 9k Gold | 0 | FULL PRICE | -1178518 | none | ||
| 26167 | Mini Huggie Hoop Earring Pair 9k Gold | 0 | FULL PRICE | -1178518 | none | ||
| 26270 | Scattered Diamond Huggie Hoop Earring 9k Gold | 0 | FULL PRICE | -1178518 | none | ||
| 26092 | Labradorite & Diamond Huggie Hoop Earring Pair 9k Gold | 0 | FULL PRICE | -1178518 | none | ||
| 26091 | Labradorite & Diamond Huggie Hoop Earring 9k Gold | 0 | FULL PRICE | -1178518 | none | ||
| 26086 | Huggie Hoop Earring Pair 9k Gold | 0 | FULL PRICE | -1178518 | none | ||
| 26281 | Twisted Huggie Hoop Earring Pair 9k Gold | 0 | FULL PRICE | -1178518 | none | ||
| 26194 | Personalised Starburst Ring 9k Gold | -499 | __LABEL:MADE TO ORDER, FULL PRICE | -1179017 | none | ||
| 26190 | Personalised Birthstone Necklace 9k Gold | -7388 | __LABEL:MADE TO ORDER, FULL PRICE | -1185906 | none | ||
| 26274 | Trilogy Nose Stud 9k Gold | -27556 | FULL PRICE | -1206074 | none | ||
| 26263 | Personalised Beaded Necklace 9k Gold | -28554 | __LABEL:MADE TO ORDER, BEADED, FULL PRICE | -1207072 | none | ||
| 26188 | Personalised Birthstone Bracelet 9k Gold | -41833 | __LABEL:MADE TO ORDER, FULL PRICE | -1220351 | none | ||
| 26192 | Personalised Charm Bracelet 9k Gold | -41833 | __LABEL:MADE TO ORDER, FULL PRICE | -1220351 | none | ||
| 26187 | Personalised Beaded Bracelet 9k Gold | -41833 | __LABEL:MADE TO ORDER, FULL PRICE | -1220351 | none |