Fold 0 - Understanding why coefficient 69983 was selected
Tag: LIGHTING
Selected Coefficient: 69983
Taxonomy Path: 14.13.10
Taxonomy Name:
Products with this tag: 16
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? |
|---|---|---|---|---|---|
| 69983 | 3.012339 | 14.13.10 | 10.13.14 (10*83^2 + 13*83 + 14) | Yes | |
| 1206668 | 3.013500 | 14.13.9.2 | 2.9.13.14 (2*83^3 + 9*83^2 + 13*83 + 14) | No | |
| 844 | 3.144578 | 14.10 | 10.14 (10*83 + 14) | No | |
| 0 | 13.000000 | 0 | 0 (0) | No |
These are the training products that have the "LIGHTING" tag (processing sequence 3766). 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 |
|---|---|---|---|---|---|---|---|
| 2661 | LARGE Tube Pendant Light - ROSE GOLD | 1206668 | none | 1136685 | HOME | ||
| 2678 | LARGE Tube Pendant Light - BRONZE GOLD | 1206668 | none | 1136685 | HOME | ||
| 25414 | Montana Meadowgrass Flameless Candle (Large) | 69983 | none | 0 | none | ||
| 25410 | Pansy Flameless Candle | 69983 | none | 0 | none | ||
| 25411 | Mountain Goat Flameless Candle by Nancy Cawdrey | 69983 | none | 0 | none | ||
| 25412 | Montana Wildweed Flameless Candle | 69983 | none | 0 | none | ||
| 25413 | Montana Wildflower Flameless Candles with Timer | 69983 | none | 0 | none | ||
| 25204 | Huckleberry Flameless Candles | 69983 | none | 0 | none | ||
| 25206 | Glacier Grizzly Flameless Candle by Nancy Cawdrey | 69983 | none | 0 | none | ||
| 25207 | Elk Flameless Candle with Timer | 69983 | none | 0 | none | ||
| 25208 | Crabapple Flameless Candle | 69983 | none | 0 | none | ||
| 25209 | Bison Flameless Candle | 69983 | none | 0 | none | ||
| 25395 | Cozy Winter Montana Pine & Sage Candle Set | 844 | none | -69139 | none | ||
| 10677 | Peony & Sage Fidra Linen Lampshade | 0 | COASTAL INTERIOR | -69983 | BIRDS | ||
| 10678 | Peony & Sage Pez Fish Linen Lampshade | 0 | COASTAL INTERIOR | -69983 | BIRDS | ||
| 2679 | LED Modern Double Wall Sconce Indoor Lights - Up/Down | 0 | LIGHTS | -69983 | WALL, HOME |