Fold 1 - Understanding why coefficient 25044 was selected
Tag: PARTY DRESS
Selected Coefficient: 25044
Taxonomy Path: 1.1.4
Taxonomy Name: Apparel & Accessories > Clothing > Dresses
Products with this tag: 9
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? |
|---|---|---|---|---|---|
| 25044 | 4.000160 | 1.1.4 | 4.1.1 (4*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Dresses | Yes |
| 4518564 | 4.000641 | 1.1.13.9 | 9.13.1.1 (9*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Tank Tops | No |
| 0 | 6.000160 | 0 | 0 (0) | No | |
| 118579 | 6.000320 | 0.0.19 | 19.0.0 (19*79^2) | No | |
| -4568652 | 8.000000 | -3.3.21.9 | -9.21.3.3 (-(9*79^3 + 21*79^2 + 3*79 + 3)) | No |
These are the training products that have the "PARTY DRESS" tag (processing sequence 2274). 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 |
|---|---|---|---|---|---|---|---|
| 930 | Frontier Blouse | 4518564 | Apparel & Accessories > Clothing > Clothing Tops > Tank Tops | FLORAL PATTERNS | 4493520 | none | |
| 13255 | Asymmetric Neck Sleek Boubou | 118579 | MAXI DRESS | 93535 | none | ||
| 439 | Sexy Sequin Party Dress | 25044 | Apparel & Accessories > Clothing > Dresses | none | 0 | none | |
| 427 | Ruched Strapless Bodycon Dress | 25044 | Apparel & Accessories > Clothing > Dresses | none | 0 | none | |
| 437 | Sequin Strapless Ruched Back Slit Bodycon Dress | 25044 | Apparel & Accessories > Clothing > Dresses | none | 0 | none | |
| 12104 | "Teresa" Casual Summer Cocktail Dress by Band of Tailors | 25044 | Apparel & Accessories > Clothing > Dresses | none | 0 | none | |
| 875 | Delfina | 0 | BEST DRESS, CAMI NYC, COLORFUL DRESSES, FEMININE DRESS | -25044 | SLIP DRESS | ||
| 13243 | Duchess Soft Satin Boubou | 0 | MAXI DRESS | -25044 | none | ||
| 907 | Dua | -4568652 | BEST DRESS, CAMI NYC, COLORFUL DRESSES, FLORAL DRESSES | -4593696 | none |