Fold 0 - Understanding why coefficient 362229 was selected
Tag: MODERN PARTY
Selected Coefficient: 362229
Taxonomy Path: 14.3.58
Taxonomy Name: Home & Garden > Decor > Seasonal & Holiday Decorations
Products with this tag: 12
Unique residual values tried: 9
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? |
|---|---|---|---|---|---|
| 362229 | 7.025477 | 14.3.58 | 58.3.14 (58*79^2 + 3*79 + 14) | Home & Garden > Decor > Seasonal & Holiday Decorations | Yes |
| 967606 | 7.025637 | 14.3.76.1 | 1.76.3.14 (493039 + 76*79^2 + 3*79 + 14) | Home & Garden > Decor > Wreaths & Garlands > Garlands | No |
| 118885692 | 7.037977 | 14.11.10.4.3 | 3.4.10.11.14 (3*79^4 + 4*79^3 + 10*79^2 + 11*79 + 14) | Home & Garden > Kitchen & Dining > Tableware > Dinnerware > Plates | No |
| 63293 | 7.037977 | 14.11.10 | 10.11.14 (10*79^2 + 11*79 + 14) | Home & Garden > Kitchen & Dining > Tableware | No |
| 0 | 8.000160 | 0 | 0 (0) | No | |
| -873740 | 8.000481 | -0.0.61.1 | -1.61.0.0 (-(493039 + 61*79^2)) | No | |
| 156184 | 9.012818 | 1.2.25 | 25.2.1 (25*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Sashes | No |
| 106256 | 9.012818 | 1.2.17 | 17.2.1 (17*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Hats | No |
| 6479 | 9.025316 | 1.3.1 | 1.3.1 (6241 + 3*79 + 1) | Apparel & Accessories > Costumes & Accessories > Costume Accessories | No |
These are the training products that have the "MODERN PARTY" tag (processing sequence 2082). 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 |
|---|---|---|---|---|---|---|---|
| 12924 | Modern Birthday Plates 10.5" | 8ct | 118885692 | Home & Garden > Kitchen & Dining > Tableware > Dinnerware > Plates | none | 118523463 | none | |
| 13040 | Modern Birthday Letter Banner, 12' | 1 ct | 967606 | Home & Garden > Decor > Wreaths & Garlands > Garlands | none | 605377 | none | |
| 13046 | Modern Birthday Room Decorating Kit | 12 pcs | 362229 | Home & Garden > Decor > Seasonal & Holiday Decorations | none | 0 | none | |
| 13035 | Modern Birthday Fringe Banners | 4 pcs | 362229 | Home & Garden > Decor > Seasonal & Holiday Decorations | none | 0 | none | |
| 12928 | Modern Birthday Deluxe Sash | 1 ct | 156184 | Apparel & Accessories > Clothing Accessories > Sashes | none | -206045 | none | |
| 13037 | Modern Birthday Large Cone Hat, 10.5" | 1 ct | 106256 | Apparel & Accessories > Clothing Accessories > Hats | none | -255973 | none | |
| 13045 | Modern Birthday Plastic Table Cover, 54" x 102" | 1 ct | 63293 | Home & Garden > Kitchen & Dining > Tableware | none | -298936 | none | |
| 13042 | Modern Birthday Mini Foil Cone Hats, Assortment 4" | 12 ct | 6479 | Apparel & Accessories > Costumes & Accessories > Costume Accessories | none | -355750 | none | |
| 12926 | Modern Birthday Beverage Napkins | 16 ct | 0 | BEVERAGE NAPKINS | -362229 | none | ||
| 12927 | Modern Birthday Crown Headband | 1ct | 0 | HEADBAND | -362229 | none | ||
| 13036 | Modern Birthday Happy Birthday Assorted Plates, 7" | 8ct | 0 | 7" | -362229 | none | ||
| 13043 | Modern Birthday Picks And Candles Set | 9 pcs | -873740 | CANDLES | -1235969 | none |