Fold 0 - Understanding why coefficient 7124 was selected
Tag: PARTY FAVOR
Selected Coefficient: 7124
Taxonomy Path: 14.11.1
Taxonomy Name: Home & Garden > Kitchen & Dining > Barware
Products with this tag: 18
Unique residual values tried: 13
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? |
|---|---|---|---|---|---|
| 7124 | 8.038135 | 14.11.1 | 1.11.14 (6241 + 11*79 + 14) | Home & Garden > Kitchen & Dining > Barware | Yes |
| 197278893 | 8.038936 | 14.11.10.5.5 | 5.5.10.11.14 (5*79^4 + 5*79^3 + 10*79^2 + 11*79 + 14) | Home & Garden > Kitchen & Dining > Tableware > Drinkware > Mugs | No |
| 362229 | 8.088928 | 14.3.58 | 58.3.14 (58*79^2 + 3*79 + 14) | Home & Garden > Decor > Seasonal & Holiday Decorations | No |
| 418398 | 8.088928 | 14.3.67 | 67.3.14 (67*79^2 + 3*79 + 14) | Home & Garden > Decor > Vases | No |
| 505772 | 8.088928 | 14.3.2.1 | 1.2.3.14 (493039 + 2*79^2 + 3*79 + 14) | Home & Garden > Decor > Artificial Flora > Artificial Flowering Plants | No |
| 9849010 | 14.037975 | 1.9.77.19 | 19.77.9.1 (19*79^3 + 77*79^2 + 9*79 + 1) | No | |
| 4025525 | 14.037975 | 1.1.13.8 | 8.13.1.1 (8*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | No |
| 6558 | 14.037975 | 1.4.1 | 1.4.1 (6241 + 4*79 + 1) | Apparel & Accessories > Handbag & Wallet Accessories > Keychains | No |
| 149943 | 14.037975 | 1.2.24 | 24.2.1 (24*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Pinback Buttons | No |
| 2565470 | 17.000000 | 24.5.16.5 | 5.16.5.24 (5*79^3 + 16*79^2 + 5*79 + 24) | Toys & Games > Toys > Pretend Play > Pretend Professions & Role Playing | No |
| 0 | 17.000000 | 0 | 0 (0) | No | |
| 1042 | 17.000000 | 15.13 | 13.15 (13*79 + 15) | Luggage & Bags > Tote Bags | No |
| 212286 | 17.000000 | 13.1.34 | 34.1.13 (34*79^2 + 79 + 13) | No |
These are the training products that have the "PARTY FAVOR" tag (processing sequence 111). 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 |
|---|---|---|---|---|---|---|---|
| 6335 | BAB - "Besties" Coffee/Tea Mug | 197278893 | Home & Garden > Kitchen & Dining > Tableware > Drinkware > Mugs | none | 197271769 | SORORITY, SMALL, AFFORDABLE | |
| 6201 | Zeta Phi Beta Sorority, Incorporated - Amicae Coaster | 9849010 | COASTERS | 9841886 | none | ||
| 6397 | BAB - Custom Father Dad Essential - T-Shirt | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 4018401 | GIRLS GIFT | |
| 13067 | Pawsome Party Adoption Box Party Favor | 3 ct | 2565470 | Toys & Games > Toys > Pretend Play > Pretend Professions & Role Playing | none | 2558346 | PAWSOME | |
| 6334 | BAB - Royal Blue w/Pearls Artificial Flower Animal | 505772 | Home & Garden > Decor > Artificial Flora > Artificial Flowering Plants | none | 498648 | none | |
| 6175 | Zeta Phi Beta 10" Ceramic White Vase | 418398 | Home & Garden > Decor > Vases | none | 411274 | SORORITY, AFFORDABLE, ZETA | |
| 6265 | Zeta Phi Beta Sorority, Inc. (Archonette) Balloons | 362229 | Home & Garden > Decor > Seasonal & Holiday Decorations | none | 355105 | SORORITY, AFFORDABLE, BRIDAL PARTY, GIRLS GIFT, ZETA | |
| 6145 | Zeta Phi Beta Sorority, Inc. (Amicae) Balloons | 212286 | AMICAE | 205162 | SORORITY, AFFORDABLE, BRIDAL PARTY, GIRLS GIFT, ZETA | ||
| 6278 | Zeta Phi Beta Sorority, Incorporated 1 - Button Pin/Coaster | 149943 | Apparel & Accessories > Clothing Accessories > Pinback Buttons | none | 142819 | none | |
| 6484 | Insulated Wine Glass Tumbler - Birthday Drip | 7124 | Home & Garden > Kitchen & Dining > Barware | none | 0 | SMALL, AFFORDABLE | |
| 6471 | Insulated Wine Glass Tumbler - The Educator | 7124 | Home & Garden > Kitchen & Dining > Barware | none | 0 | SMALL, AFFORDABLE | |
| 6496 | Insulated Wine Glass Tumbler - 1920 | 7124 | Home & Garden > Kitchen & Dining > Barware | none | 0 | SMALL, AFFORDABLE | |
| 6412 | Insulated Wine Glass Tumbler - Stay out of my quarantine “Bubble” | 7124 | Home & Garden > Kitchen & Dining > Barware | none | 0 | SMALL, AFFORDABLE | |
| 6459 | Insulated Wine Glass Tumbler - Zeta Doctor | 7124 | Home & Garden > Kitchen & Dining > Barware | none | 0 | SMALL, AFFORDABLE | |
| 6470 | Insulated Wine Glass Tumbler - The Educator | 7124 | Home & Garden > Kitchen & Dining > Barware | none | 0 | SMALL, AFFORDABLE | |
| 6186 | Zeta Phi Beta Key Chain Tag | 6558 | Apparel & Accessories > Handbag & Wallet Accessories > Keychains | none | -566 | SORORITY, SMALL, AFFORDABLE, GIRLS GIFT, ZETA | |
| 6255 | Tote 5 - Zeta Phi Beta Sorority, Incorporated | 1042 | Luggage & Bags > Tote Bags | none | -6082 | AFFORDABLE, ZETA | |
| 6112 | Alpha Omega Phi (Classic) Button Pin | 0 | AMICAE | -7124 | SORORITY |