Fold 3 - Understanding why coefficient 2787755 was selected
Tag: ORNAMENT
Selected Coefficient: 2787755
Taxonomy Path: 11.1.56.7
Taxonomy Name:
Products with this tag: 10
Unique residual values tried: 2
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? |
|---|---|---|---|---|---|
| 2787755 | 4.000000 | 11.1.56.7 | 7.56.1.11 (7*71^3 + 56*71^2 + 71 + 11) | Yes | |
| 2797982 | 6.000000 | 14.3.58.7 | 7.58.3.14 (7*71^3 + 58*71^2 + 3*71 + 14) | Home & Garden > Decor > Seasonal & Holiday Decorations > Holiday Ornaments | No |
These are the training products that have the "ORNAMENT" tag (processing sequence 15). 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 |
|---|---|---|---|---|---|---|---|
| 4155 | ChipScapes Set #3: Computer Logic Chips (3 Ornaments) | 2797982 | Home & Garden > Decor > Seasonal & Holiday Decorations > Holiday Ornaments | none | 10227 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | 6502, MEMORY, CHRISTMAS, MOTOROLA, LOGIC CHIP |
| 4157 | ChipScapes Set #5: Computer Circuit Boards with Chips (3 Ornaments) | 2797982 | Home & Garden > Decor > Seasonal & Holiday Decorations > Holiday Ornaments | none | 10227 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | 6502, MEMORY, CHRISTMAS |
| 4161 | ChipScapes Set #9: Mixed Types - Art with Chip, Circuit Board, Computer Logic Chip (3 Ornaments) | 2797982 | Home & Garden > Decor > Seasonal & Holiday Decorations > Holiday Ornaments | none | 10227 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | 6502, MEMORY, CHRISTMAS |
| 6187 | Christmas "Squad" Holiday Ornament | 2797982 | Home & Garden > Decor > Seasonal & Holiday Decorations > Holiday Ornaments | none | 10227 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | CHRISTMAS |
| 4153 | ChipScapes Set #1: Art with Computer Chips (3 Ornaments) | 2787755 | MICROPROCESSOR | 0 | 6502, MEMORY, CHRISTMAS, LOGIC CHIP | ||
| 4154 | ChipScapes Set #2: Flip Chips - AMD, IBM, and S3 (3 Ornaments) | 2787755 | MICROPROCESSOR | 0 | CHRISTMAS | ||
| 4159 | ChipScapes Set #7: Mixed Types - Silicon Wafer Computer Chips (3 Ornaments) | 2787755 | MICROPROCESSOR | 0 | SECURITY, CRYPTO, CHRISTMAS | ||
| 4150 | ChipScapes Set #10: Mixed Types - Silicon Wafer, Computer Circuit Board, Chip Traces (3 Ornaments) | 2787755 | MICROPROCESSOR | 0 | SILICON WAFER, CHRISTMAS, MOTOROLA | ||
| 4151 | ChipScapes Set #11: Mixed Types - Intel Flip Chip, IBM System/370 Assembly, Art with Chip, (3 Ornaments) | 2787755 | MICROPROCESSOR | 0 | CHRISTMAS, MOTOROLA | ||
| 4152 | ChipScapes Set #12: Art with Chips, Series 2 (3 Ornaments) | 2787755 | MICROPROCESSOR | 0 | MICROCOMPUTER, TELEPHONE, CHRISTMAS |