Fold 3 - Understanding why coefficient -37921 was selected
Tag: COMMUNICATION
Selected Coefficient: -37921
Taxonomy Path: -1.6.6
Taxonomy Name:
Products with this tag: 6
Unique residual values tried: 4
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? |
|---|---|---|---|---|---|
| -37921 | 2.000160 | -1.6.6 | -6.6.1 (-(6*79^2 + 6*79 + 1)) | Yes | |
| -31680 | 2.000481 | -1.6.5 | -5.6.1 (-(5*79^2 + 6*79 + 1)) | No | |
| 0 | 5.000000 | 0 | 0 (0) | No | |
| 6419 | 5.000000 | 20.2.1 | 1.2.20 (6241 + 2*79 + 20) | Religious & Ceremonial > Religious Items > Prayer Beads | No |
These are the training products that have the "COMMUNICATION" tag (processing sequence 3078). 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 |
|---|---|---|---|---|---|---|---|
| 14090 | St Gabriel Clip - Patron Saint of Messengers, Communication | 6419 | Religious & Ceremonial > Religious Items > Prayer Beads | none | 44340 | none | |
| 4118 | Item044: Smartcard Chip Antenna Pendant - Bronze and Gold | 0 | PENDANT | 37921 | Apparel & Accessories > Jewelry > Earrings | none | |
| 4085 | Item033: Pool Circuit Board Pendant - Silver, Blue, Gold, Summer | -31680 | ECB, PENDANT | 6241 | none | ||
| 4088 | Item037: Fiber Optic Communication Board Earrings - Red, Gold, & Silver | -37921 | AMI, EARRINGS | 0 | none | ||
| 4129 | Item047: Silicon Wafer Cell Phone Chip Earrings - Bronze & Rainbow Colors, Broadcom | -37921 | AMI, EARRINGS | 0 | none | ||
| 4249 | Item025: Silicon Wafer Communication Chip Earrings - Bronze & Rainbow Colors, AMI | -37921 | AMI, EARRINGS | 0 | none |