Fold 4 - Understanding why coefficient 44807 was selected
Tag: ACCESSORY
Selected Coefficient: 44807
Taxonomy Path: 14.14.7
Taxonomy Name: Home & Garden > Lighting Accessories > Lamp Finials
Products with this tag: 13
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? |
|---|---|---|---|---|---|
| 44807 | 5.025316 | 14.14.7 | 7.14.14 (7*79^2 + 14*79 + 14) | Home & Garden > Lighting Accessories > Lamp Finials | Yes |
| -598253 | 5.088608 | -65.67.16.1 | -1.16.67.65 (-(493039 + 16*79^2 + 67*79 + 65)) | No | |
| -598727 | 5.088608 | -65.73.16.1 | -1.16.73.65 (-(493039 + 16*79^2 + 73*79 + 65)) | No | |
| 12968 | 11.000160 | 12.6.2 | 2.6.12 (2*79^2 + 6*79 + 12) | Hardware > Hardware Accessories > Cabinet Hardware | No |
| 486 | 11.000160 | 12.6 | 6.12 (6*79 + 12) | Hardware > Hardware Accessories | No |
| 0 | 12.000000 | 0 | 0 (0) | No | |
| 6730 | 12.000000 | 15.6.1 | 1.6.15 (6241 + 6*79 + 15) | Luggage & Bags > Duffel Bags > Gym Duffel Bags | No |
| -574252 | 12.000000 | -1.1.13.1 | -1.13.1.1 (-(493039 + 13*79^2 + 79 + 1)) | No |
These are the training products that have the "ACCESSORY" tag (processing sequence 377). 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 |
|---|---|---|---|---|---|---|---|
| 12347 | White Round Marble Finial with Brass Base | 44807 | Home & Garden > Lighting Accessories > Lamp Finials | none | 0 | none | |
| 11309 | Polished Nickel Bullet Finial | 44807 | Home & Garden > Lighting Accessories > Lamp Finials | none | 0 | none | |
| 12220 | Urn Nickel Plated Finial | 44807 | Home & Garden > Lighting Accessories > Lamp Finials | none | 0 | none | |
| 12243 | Urn Brass Finial | 44807 | Home & Garden > Lighting Accessories > Lamp Finials | none | 0 | none | |
| 12332 | Antique Brass Bullet Finial | 44807 | Home & Garden > Lighting Accessories > Lamp Finials | none | 0 | none | |
| 10568 | Crystal Pear Drop Finial | 44807 | Home & Garden > Lighting Accessories > Lamp Finials | none | 0 | none | |
| 12271 | Solid Brass Polished Vine Finial | 12968 | Hardware > Hardware Accessories > Cabinet Hardware | none | -31839 | none | |
| 12390 | SAVANNAH CLASSIC 20" SPORTS BAG SP362 | 6730 | Luggage & Bags > Duffel Bags > Gym Duffel Bags | none | -38077 | BLANK | |
| 11241 | Large Oriental Polished and Laquered Brass Finial | 486 | Hardware > Hardware Accessories | none | -44321 | none | |
| 12567 | Tough Duck® Reversible Safety Beanie SA2831 | 0 | BEANIE | -44807 | WORKWEAR | ||
| 13583 | Women's Crop Tank Top | -574252 | CROP TOP, TANK TOP | -619059 | APPAREL | ||
| 1470 | Bass Coast x Gazzy Canvas Tote | -598253 | ACCESSORIES | -643060 | GAZZY BY GAZZO | ||
| 1472 | Bass Coast x Gazzy Fanny Pack | -598727 | ACCESSORIES | -643534 | GAZZY BY GAZZO |