Fold 1 - Understanding why coefficient 1800075 was selected
Tag: DOOR PULL
Selected Coefficient: 1800075
Taxonomy Path: 12.6.2.5
Taxonomy Name: Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles
Products with this tag: 28
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? |
|---|---|---|---|---|---|
| 1800075 | 8.029572 | 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 |
| 10520 | 8.029574 | 12.6.2 | 2.6.12 (2*71^2 + 6*71 + 12) | Hardware > Hardware Accessories > Cabinet Hardware | No |
| 438 | 8.030351 | 12.6 | 6.12 (6*71 + 12) | Hardware > Hardware Accessories | No |
| 651 | 8.253521 | 12.9 | 9.12 (9*71 + 12) | Hardware > Locks & Keys | No |
| -2918373 | 20.028373 | -60.65.10.8 | -8.10.65.60 (-(8*71^3 + 10*71^2 + 65*71 + 60)) | No | |
| -1128818 | 20.028376 | -60.65.10.3 | -3.10.65.60 (-(3*71^3 + 10*71^2 + 65*71 + 60)) | No | |
| -2928455 | 20.029161 | -60.65.12.8 | -8.12.65.60 (-(8*71^3 + 12*71^2 + 65*71 + 60)) | No | |
| -2928242 | 20.084507 | -60.62.12.8 | -8.12.62.60 (-(8*71^3 + 12*71^2 + 62*71 + 60)) | No |
These are the training products that have the "DOOR PULL" tag (processing sequence 8). 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 |
|---|---|---|---|---|---|---|---|
| 2642 | BLACK STAINLESS STEEL 600mm ROUND OFFSET - Entry Door Pull Handles - Pair | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 2669 | STAINLESS STEEL 600mm Entry Door Pull Handle Set - Back to Back | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 2664 | COPPER TINTED STAINLESS STEEL POLISHED - 1800mm Entry Door Pull Handles - Pair | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 2683 | BRUSHED GOLD FINISH BACK TO BACK 400mm Entry Door Pull Handles | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 2666 | Sliding Door Edge Pull | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | SLIDING DOOR | |
| 2712 | Brushed Brass Sliding Door Finger Pull Handle | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 0 | none | |
| 2663 | COPPER TINTED STAINLESS STEEL POLISHED - 900mm Entry Door Pull Handles - Pair | 10520 | Hardware > Hardware Accessories > Cabinet Hardware | none | -1789555 | none | |
| 2715 | Stainless Steel 1800mm Entry Door Pull Handle Set - Back to Back | 10520 | Hardware > Hardware Accessories > Cabinet Hardware | none | -1789555 | ENTRY DOOR, DOUBLE DOORS | |
| 2698 | Stainless Steel 400mm Door Pull Handles | 10520 | Hardware > Hardware Accessories > Cabinet Hardware | none | -1789555 | DOUBLE DOORS | |
| 2693 | Stainless Steel 1200mm Entry Door Pull Handles - Pair | 10520 | Hardware > Hardware Accessories > Cabinet Hardware | none | -1789555 | DOUBLE DOORS | |
| 2641 | STAINLESS STEEL 400mm Door Pull Handles | 10520 | Hardware > Hardware Accessories > Cabinet Hardware | none | -1789555 | none | |
| 2709 | Brushed Brass Flush Pull Handle - 170 x 170mm | 651 | Hardware > Locks & Keys | none | -1799424 | SLIDING DOOR | |
| 2646 | BLACK FINISH BACK TO BACK 400mm Entry Door Pull Handles | 651 | Hardware > Locks & Keys | none | -1799424 | none | |
| 2717 | Copper Tinted - 1200mm Entry Door Pull Handles - Pair | 438 | Hardware > Hardware Accessories | none | -1799637 | DOUBLE DOORS, SLIDING DOOR | |
| 2659 | STAINLESS STEEL 1200mm Entry Door Pull Handle Set - Back to Back | 438 | Hardware > Hardware Accessories | none | -1799637 | none | |
| 2660 | STAINLESS STEEL 1800mm Entry Door Pull Handle Set - Back to Back | 438 | Hardware > Hardware Accessories | none | -1799637 | none | |
| 2694 | Stainless Steel 1800mm Entry Door Pull Handles - Pair | 438 | Hardware > Hardware Accessories | none | -1799637 | ROUND, DOUBLE DOORS | |
| 2697 | Black 400mm Entry Door Pull Handles - Pair | 438 | Hardware > Hardware Accessories | none | -1799637 | SLIDING DOOR | |
| 2701 | Stainless Steel 600mm Entry Door Pull Handles - Pair | 438 | Hardware > Hardware Accessories | none | -1799637 | ENTRY DOOR, DOUBLE DOORS | |
| 2636 | STAINLESS STEEL 1200mm Entry Door Pull Handles - Pair | 438 | Hardware > Hardware Accessories | none | -1799637 | none | |
| 2654 | BLACK STAINLESS STEEL 1800mm SQUARE OFFSET - Entry Door Pull Handles - Pair | -1128818 | BLACK | -2928893 | none | ||
| 2655 | BLACK STAINLESS STEEL 600mm SQUARE OFFSET - Entry Door Pull Handles - Pair | -1128818 | BLACK | -2928893 | none | ||
| 2652 | BLACK STAINLESS STEEL 600mm Entry Door Pull Handles - Pair | -2918373 | BLACK | -4718448 | none | ||
| 2688 | STAINLESS STEEL BLACK MIRROR GLAZE 1800mm Entry Door Pull Handle Set - Back to Back | -2918373 | BLACK | -4718448 | none | ||
| 2651 | BLACK STAINLESS STEEL 1200mm - Entry Door Pull Handles - Pair | -2918373 | BLACK | -4718448 | none | ||
| 2653 | BLACK STAINLESS STEEL 1800mm Entry Door Pull Handle - Pair | -2928242 | BLACK | -4728317 | none | ||
| 2687 | BLACK MIRROR GLAZE STAINLESS STEEL 1200mm Entry Door Pull Handle Set - Back to Back | -2928242 | BLACK | -4728317 | none | ||
| 2656 | BLACK STAINLESS STEEL 1200mm Entry Door Pull Handle Set - Back to Back | -2928455 | BLACK | -4728530 | none |