Fold 3 - Understanding why coefficient -625121806 was selected
Tag: LONDON DESIGNER
Selected Coefficient: -625121806
Taxonomy Path: -2.2.23.14.13
Taxonomy Name:
Products with this tag: 7
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? |
|---|---|---|---|---|---|
| -625121806 | 4.000147 | -2.2.23.14.13 | -13.14.23.2.2 (-(13*83^4 + 14*83^3 + 23*83^2 + 2*83 + 2)) | Yes | |
| -618832149 | 4.000147 | -2.2.23.3.13 | -13.3.23.2.2 (-(13*83^4 + 3*83^3 + 23*83^2 + 2*83 + 2)) | No | |
| -6978725 | 4.000290 | -2.2.17.12 | -12.17.2.2 (-(12*83^3 + 17*83^2 + 2*83 + 2)) | No | |
| 0 | 5.000000 | 0 | 0 (0) | No | |
| -526113014 | 6.000000 | -1.1.10.7.11 | -11.7.10.1.1 (-(11*83^4 + 7*83^3 + 10*83^2 + 83 + 1)) | No | |
| 855462326 | 6.000000 | 1.1.10.2.18 | 18.2.10.1.1 (18*83^4 + 2*83^3 + 10*83^2 + 83 + 1) | No |
These are the training products that have the "LONDON DESIGNER" tag (processing sequence 6484). 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 |
|---|---|---|---|---|---|---|---|
| 23258 | SQUARE TAILORED LINEN JACKET | 855462326 | none | 1480584132 | none | ||
| 23261 | FRENCH TRENCH COAT | 0 | MADE IN LONDON | 625121806 | none | ||
| 23260 | FRENCH TRENCH COAT | 0 | MADE IN LONDON | 625121806 | OUTERWEAR | ||
| 23254 | Silky Slip Dress | -6978725 | SLIP DRESS, MAXI DRESS, SLOW FASHION | 618143081 | SPRING SUMMER | ||
| 23252 | Silk Prince Shirt I | -526113014 | SLOW FASHION, MADE IN LONDON | 99008792 | none | ||
| 23248 | Rosas Tulle Jumper | -618832149 | SLOW FASHION, MADE IN LONDON, TOP | 6289657 | none | ||
| 23250 | Sergio Max Jumper Dress | -625121806 | MAXI DRESS, SLOW FASHION, MADE IN LONDON | 0 | none |