Fold 0 - Understanding why coefficient 149943 was selected
Tag: BUTTON
Selected Coefficient: 149943
Taxonomy Path: 1.2.24
Taxonomy Name: Apparel & Accessories > Clothing Accessories > Pinback Buttons
Products with this tag: 6
Unique residual values tried: 3
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? |
|---|---|---|---|---|---|
| 149943 | 3.000000 | 1.2.24 | 24.2.1 (24*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Pinback Buttons | Yes |
| 0 | 4.000000 | 0 | 0 (0) | No | |
| -5997681 | 5.000000 | -1.1.13.12 | -12.13.1.1 (-(12*79^3 + 13*79^2 + 79 + 1)) | No |
These are the training products that have the "BUTTON" tag (processing sequence 895). 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 |
|---|---|---|---|---|---|---|---|
| 11035 | Unity Pride | 149943 | Apparel & Accessories > Clothing Accessories > Pinback Buttons | none | 0 | none | |
| 11045 | Raven's Call | 149943 | Apparel & Accessories > Clothing Accessories > Pinback Buttons | none | 0 | none | |
| 11079 | Soar Above | 149943 | Apparel & Accessories > Clothing Accessories > Pinback Buttons | none | 0 | none | |
| 1719 | Siena Poncho Impuntura - 10% Cashmere / 40 % Merino Blend Knit | 0 | BLEND | -149943 | TUNGSTEN | ||
| 1720 | Siena Poncho - SettantaTrenta 30% Cashmere / 70 % Merino Blend Knit | 0 | BLEND | -149943 | CLOUD GREY | ||
| 1725 | Siena Poncho - SettantaTrenta 30% Cashmere / 70 % Merino Blend Knit | -5997681 | BLEND, IVORY | -6147624 | none |