Fold 3 - Understanding why coefficient 1800075 was selected
Tag: SMALL PULLS
Selected Coefficient: 1800075
Taxonomy Path: 12.6.2.5
Taxonomy Name: Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles
Products with this tag: 26
Unique residual values tried: 1
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? |
|---|---|---|---|---|---|
| 1800075 | 0.000000 | 12.6.2.5 | 5.2.6.12 (5*71^3 + 2*71^2 + 6*71 + 12) | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | Yes |
These are the training products that have the "SMALL PULLS" tag (processing sequence 1256). 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 |
|---|---|---|---|---|---|---|---|
| 4747 | Chinese Medicine Cabinet Pulls 1.2" - Set of 2 | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4748 | Chinese Medicine Cabinet Pulls 1.6" - Set of 2 | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4749 | Chinese Medicine Cabinet Pulls 2.4" - Set of 2 | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4782 | Brass Ring Plate Pulls 1.25" - Set of 2 | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4789 | Peg and Ring Pulls 2" - Set of 2 | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4790 | Peg and Ring Pulls 1.8" - Set of 2 | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4791 | Oval Pulls with Engraved Round Backplate 2.6" - Set of 2 | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4792 | Golden Egg Pulls 3" - Set of 2 | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4795 | Golden Furnace Pulls 3" - Set of 2 | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4796 | Golden Furnace and Flower Pulls 2.1" - Set of 2 | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4797 | Plum Flower Pulls - 1.9" - Set of 2 | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4798 | Valentine Pulls 2.4" - Set of 2 | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4800 | Sparrow Tail Pulls 2.4" - Set of 2 | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4801 | Ru Yi Pulls 2" - Set of 2 | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4802 | Monk's Washing Bowl Pulls 2.6" - Set of 2 | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4803 | Flower Box Pulls 1.5" - Set of 2 | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4804 | Abundant Happiness Pulls 1.7" - Set of 2 | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4809 | Symmetrical Pulls 2.5" - Set of 2 | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4810 | Golden Stripe Pulls 2.8" - Set of 2 | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4811 | Songbird Pulls 2.3" - Set of 2 | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4812 | Long and Wealthy Life Pulls 2" - Set of 2 | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4813 | Carp Pulls 2" - Set of 2 | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4844 | Double Wineglass Pulls 2.4" - Set of 2 | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4845 | Ring Pulls 1-3/16" - Set of 2 | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4846 | Ring Pulls 1.7" - Set of 2 | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 4847 | Ring Pulls 2.4" - Set of 2 | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none |