Fold 0 - Understanding why coefficient 12643 was selected
Tag: CPU
Selected Coefficient: 12643
Taxonomy Path: 3.2.2
Taxonomy Name: Arts & Entertainment > Hobbies & Creative Arts > Collectibles
Products with this tag: 9
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? |
|---|---|---|---|---|---|
| 12643 | 4.000162 | 3.2.2 | 2.2.3 (2*79^2 + 2*79 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | Yes |
| 505682 | 4.000166 | 3.2.2.1 | 1.2.2.3 (493039 + 2*79^2 + 2*79 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Collectibles > Autographs | No |
| 6402 | 4.000641 | 3.2.1 | 1.2.3 (6241 + 2*79 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | No |
| 0 | 6.000160 | 0 | 0 (0) | No | |
| -24964 | 6.000320 | -0.0.4 | -4.0.0 (-(4*79^2)) | No | |
| -6402 | 8.000000 | -3.2.1 | -1.2.3 (-(6241 + 2*79 + 3)) | No |
These are the training products that have the "CPU" tag (processing sequence 3454). 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 |
|---|---|---|---|---|---|---|---|
| 3846 | The Intel 186 - The Lost Generation, The Lost Microprocessor | 505682 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles > Autographs | none | 493039 | none | |
| 3843 | The Intel 8080 - General Purpose Microcomputing | 12643 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | none | |
| 3844 | The Intel 8085 - The Chip That Built a Family | 12643 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | none | |
| 3845 | The Intel 8086/8 - The x86 Dynasty Begins | 12643 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | 0 | none | |
| 3879 | Texas Instruments TMS9900 - First True 16-bit Microprocessor | 6402 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | none | -6241 | none | |
| 4196 | Item060: IBM CPU Chip Pendant - IBM 4300 CPU FPGA Logic Chips | 0 | PENDANT | -12643 | none | ||
| 4152 | ChipScapes Set #12: Art with Chips, Series 2 (3 Ornaments) | 0 | ORNAMENT | -12643 | SAMSUNG | ||
| 3814 | The IBM PowerPC - IBM's Microprocessor Revolution | -6402 | FIRST OF A KIND, GAMING | -19045 | none | ||
| 4173 | Item057: Apple CPU Cuff Links - Motorola, PowerPC, Canada | -24964 | CUFF LINKS | -37607 | none |