Fold 3 - Understanding why coefficient -4126428 was selected
Tag: MAN
Selected Coefficient: -4126428
Taxonomy Path: -0.82.17.7
Taxonomy Name:
Products with this tag: 5
Unique residual values tried: 5
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? |
|---|---|---|---|---|---|
| -4126428 | 3.012048 | -0.82.17.7 | -7.17.82.0 (-(7*83^3 + 17*83^2 + 82*83)) | Yes | |
| 0 | 3.012048 | 0 | 0 (0) | No | |
| -8591377 | 4.000000 | -47.9.2.15 | -15.2.9.47 (-(15*83^3 + 2*83^2 + 9*83 + 47)) | No | |
| -1350411 | 4.000000 | -1.2.30.2 | -2.30.2.1 (-(2*83^3 + 30*83^2 + 2*83 + 1)) | No | |
| -41239 | 4.000000 | -71.81.5 | -5.81.71 (-(5*83^2 + 81*83 + 71)) | No |
These are the training products that have the "MAN" tag (processing sequence 6959). 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 |
|---|---|---|---|---|---|---|---|
| 1108 | Natural Man Tonic Extra Strong | 0 | LIBIDO | 4126428 | none | ||
| 18203 | Spa Set | -41239 | BFF | 4085189 | none | ||
| 18201 | Lavender Soft Biscotti Trio | -1350411 | BFF, CULINARY | 2776017 | none | ||
| 29890 | Jersey Man Socks Alpaca | -4126428 | SOCKS | 0 | none | ||
| 27093 | Essential Garment Dye Knit T-shirt - Army Green | Regular Fit | -8591377 | 50-75, XXL | -4464949 | none |