Fold 0 - Understanding why coefficient -5173639 was selected
Tag: ALL TOPS
Selected Coefficient: -5173639
Taxonomy Path: -0.0.4.9
Taxonomy Name:
Products with this tag: 10
Unique residual values tried: 10
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? |
|---|---|---|---|---|---|
| -571787 | 7.000290 | -0.0.0.1 | -1.0.0.0 (-(571787)) | No | |
| 2294037 | 7.000290 | 0.0.1.4 | 4.1.0.0 (4*83^3 + 6889) | No | |
| -5173639 | 7.000290 | -0.0.4.9 | -9.4.0.0 (-(9*83^3 + 4*83^2)) | Yes | |
| 523254079 | 8.000145 | 1.1.10.2.11 | 11.2.10.1.1 (11*83^4 + 2*83^3 + 10*83^2 + 83 + 1) | No | |
| 5235724 | 8.000145 | 1.1.13.9 | 9.13.1.1 (9*83^3 + 13*83^2 + 83 + 1) | No | |
| -8094743 | 9.000000 | -2.2.13.14 | -14.13.2.2 (-(14*83^3 + 13*83^2 + 2*83 + 2)) | No | |
| -49208386 | 9.000000 | -10.3.5.3.1 | -1.3.5.3.10 (-(47458321 + 3*83^3 + 5*83^2 + 3*83 + 10)) | No | |
| 7074998 | 9.000000 | 78.82.30.12 | 12.30.82.78 (12*83^3 + 30*83^2 + 82*83 + 78) | No | |
| 10547311 | 9.000000 | 3.3.37.18 | 18.37.3.3 (18*83^3 + 37*83^2 + 3*83 + 3) | No | |
| -4663937 | 9.000000 | -1.1.13.8 | -8.13.1.1 (-(8*83^3 + 13*83^2 + 83 + 1)) | No |
These are the training products that have the "ALL TOPS" tag (processing sequence 6344). 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 |
|---|---|---|---|---|---|---|---|
| 26754 | Hound tooth long shacket | 523254079 | none | 528427718 | none | ||
| 26857 | Hunt Faux Leather Crop Top | 10547311 | CROP TOPS | 15720950 | FINAL SALE, CLEARANCE | ||
| 18108 | Savannah Button Down Shirt Ivory | 7074998 | SHOP ALL, NEWSLETTER2019, SPRINGVIBE, BACK TO SCHOOL | 12248637 | COASTAL | ||
| 26869 | Kenzie Tie Top | 5235724 | none | 10409363 | CLEARANCE | ||
| 18115 | Angel Tee Bunny | 2294037 | SHOP ALL, NEWSLETTER2019, SHORT SLEEVES, SPRINGVIBE | 7467676 | none | ||
| 18112 | Light Blue Plaid Long Sleeve | -571787 | SHOP ALL | 4601852 | none | ||
| 26829 | Do Not Disturb My Peace T-Shirt | -4663937 | GRAPHIC TEE, SHORT SLEEVE | 509702 | BLACK FRIDAY DAY | ||
| 26750 | Nobody Else Tank Bodysuit | -5173639 | TANK TOP | 0 | none | ||
| 18110 | Pajama Party Robe Gold Combo | -8094743 | KIMONOS, ROBE, SHOP ALL | -2921104 | none | ||
| 26787 | Oversized Sleeveless Top | -49208386 | SHORT SLEEVE, SLEEVELESS, VANILLA | -44034747 | none |