Fold 1 - Understanding why coefficient -362229 was selected
Tag: MODERN BIRTHDAY
Selected Coefficient: -362229
Taxonomy Path: -14.3.58
Taxonomy Name:
Products with this tag: 12
Unique residual values tried: 8
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 | 6.025477 | -14.3.58 | -58.3.14 (-(58*79^2 + 3*79 + 14)) | Yes | |
| -1235969 | 6.025797 | -14.3.40.2 | -2.40.3.14 (-(2*79^3 + 40*79^2 + 3*79 + 14)) | No | |
| -212524 | 6.050793 | -14.4.34 | -34.4.14 (-(34*79^2 + 4*79 + 14)) | No | |
| -262452 | 6.050793 | -14.4.42 | -42.4.14 (-(42*79^2 + 4*79 + 14)) | No | |
| 0 | 7.025316 | 0 | 0 (0) | No | |
| -298936 | 7.050633 | -0.71.47 | -47.71.0 (-(47*79^2 + 71*79)) | No | |
| 668340 | 7.050633 | 0.7.28.1 | 1.28.7.0 (493039 + 28*79^2 + 7*79) | No | |
| 3525676 | 11.000000 | 64.72.11.7 | 7.11.72.64 (7*79^3 + 11*79^2 + 72*79 + 64) | No |
These are the training products that have the "MODERN BIRTHDAY" tag (processing sequence 3333). 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 |
|---|---|---|---|---|---|---|---|
| 12927 | Modern Birthday Crown Headband | 1ct | 3525676 | HEADBAND, MODERN PARTY, WEARABLES | 3887905 | none | ||
| 13041 | Modern Birthday Luncheon Napkins | 16ct | 668340 | MODERN PARTY | 1030569 | Home & Garden > Household Supplies > Household Paper Products > Paper Napkins | none | |
| 13047 | Modern Birthday Spray Centerpiece, 18" | 1 ct | 0 | MODERN PARTY | 362229 | Home & Garden > Decor > Seasonal & Holiday Decorations | none | |
| 13035 | Modern Birthday Fringe Banners | 4 pcs | 0 | MODERN PARTY | 362229 | Home & Garden > Decor > Seasonal & Holiday Decorations | none | |
| 13046 | Modern Birthday Room Decorating Kit | 12 pcs | 0 | MODERN PARTY | 362229 | Home & Garden > Decor > Seasonal & Holiday Decorations | none | |
| 12928 | Modern Birthday Deluxe Sash | 1 ct | -212524 | MODERN PARTY, WEARABLES | 149705 | none | ||
| 13037 | Modern Birthday Large Cone Hat, 10.5" | 1 ct | -262452 | MODERN PARTY, WEARABLES | 99777 | none | ||
| 13045 | Modern Birthday Plastic Table Cover, 54" x 102" | 1 ct | -298936 | MODERN PARTY | 63293 | Home & Garden > Kitchen & Dining > Tableware | none | |
| 13042 | Modern Birthday Mini Foil Cone Hats, Assortment 4" | 12 ct | -362229 | MODERN PARTY, WEARABLES | 0 | none | ||
| 13039 | Modern Birthday Let's Eat Cake Assorted Plates, 7" | 8 ct | -362229 | 7", MODERN PARTY | 0 | none | ||
| 12926 | Modern Birthday Beverage Napkins | 16 ct | -362229 | BEVERAGE NAPKINS, MODERN PARTY | 0 | none | ||
| 13043 | Modern Birthday Picks And Candles Set | 9 pcs | -1235969 | CANDLES, MODERN PARTY | -873740 | none |