Fold 4 - Understanding why coefficient 5443035 was selected
Tag: GIFT IDEAS
Selected Coefficient: 5443035
Taxonomy Path: 14.11.3.11
Taxonomy Name: Home & Garden > Kitchen & Dining > Food & Beverage Carriers > Water Bottles
Products with this tag: 7
Unique residual values tried: 6
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? |
|---|---|---|---|---|---|
| 5443035 | 4.012818 | 14.11.3.11 | 11.3.11.14 (11*79^3 + 3*79^2 + 11*79 + 14) | Home & Garden > Kitchen & Dining > Food & Beverage Carriers > Water Bottles | Yes |
| 197278893 | 4.012818 | 14.11.10.5.5 | 5.5.10.11.14 (5*79^4 + 5*79^3 + 10*79^2 + 11*79 + 14) | Home & Garden > Kitchen & Dining > Tableware > Drinkware > Mugs | No |
| 399675 | 4.025316 | 14.3.64 | 64.3.14 (64*79^2 + 3*79 + 14) | Home & Garden > Decor > Throw Pillows | No |
| 11 | 5.000000 | 11 | 11 (11) | Gift Cards | No |
| 1042 | 5.012658 | 15.13 | 13.15 (13*79 + 15) | Luggage & Bags > Tote Bags | No |
| 99950 | 5.012658 | 15.1.16 | 16.1.15 (16*79^2 + 79 + 15) | Luggage & Bags > Backpacks > Laptop Backpacks | No |
These are the training products that have the "GIFT IDEAS" tag (processing sequence 4243). 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 |
|---|---|---|---|---|---|---|---|
| 18249 | Trekkie Sketch Mug with Colored Interior | 197278893 | Home & Garden > Kitchen & Dining > Tableware > Drinkware > Mugs | none | 191835858 | UNDER $15 | |
| 18240 | Trekkie Sketch Stainless Steel Water Bottle | 5443035 | Home & Garden > Kitchen & Dining > Food & Beverage Carriers > Water Bottles | none | 0 | none | |
| 18258 | Peace Love LLAP Throw Pillow | 399675 | Home & Garden > Decor > Throw Pillows | none | -5043360 | none | |
| 18264 | Trekkie Sketched Backpack | 99950 | Luggage & Bags > Backpacks > Laptop Backpacks | none | -5343085 | BAGS | |
| 18259 | Fascinating Sketch Printed Tote Bag | 1042 | Luggage & Bags > Tote Bags | none | -5441993 | BAGS | |
| 13649 | Gift Card - The Rose Tree | 11 | Gift Cards | none | -5443024 | none | |
| 18276 | Shop LLAP Gift Card | 11 | Gift Cards | none | -5443024 | none |