Fold 3 - Understanding why coefficient 4092150 was selected
Tag: CHANEL
Selected Coefficient: 4092150
Taxonomy Path: 1.1.13.7
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? |
|---|---|---|---|---|---|
| 6951085 | 4.000003 | 1.1.13.12 | 12.13.1.1 (12*83^3 + 13*83^2 + 83 + 1) | No | |
| 8094659 | 4.000003 | 1.1.13.14 | 14.13.1.1 (14*83^3 + 13*83^2 + 83 + 1) | No | |
| 4092150 | 4.000003 | 1.1.13.7 | 7.13.1.1 (7*83^3 + 13*83^2 + 83 + 1) | Yes | |
| 0 | 5.012048 | 0 | 0 (0) | No | |
| -996 | 5.012048 | -0.12 | -12.0 (-(12*83)) | No | |
| 596 | 6.000000 | 15.7 | 7.15 (7*83 + 15) | No | |
| -185914 | 6.000000 | -77.81.26 | -26.81.77 (-(26*83^2 + 81*83 + 77)) | No |
These are the training products that have the "CHANEL" tag (processing sequence 7102). 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 |
|---|---|---|---|---|---|---|---|
| 17900 | CHANEL 2001 Fall Mademoiselle-print sweatshirt #40 | 8094659 | none | 4002509 | none | ||
| 17902 | CHANEL 2006 cable knit V-neck jumper #38 | 6951085 | none | 2858935 | none | ||
| 17907 | CHANEL 1998 Beige Striped Top #38 | 4092150 | none | 0 | none | ||
| 17908 | CHANEL 2005 Premiere Edition Hip Bag Tweed | 596 | none | -4091554 | none | ||
| 9612 | Chanel No. 5 Card by Janet Karp | 0 | CARD | -4092150 | none | ||
| 24431 | Chanel duma brown leather backpacks | -996 | HANDBAGS | -4093146 | none | ||
| 27707 | Naomi | -185914 | SHADES | -4278064 | none |