Fold 3 - Understanding why coefficient -10227 was selected
Tag: CHRISTMAS
Selected Coefficient: -10227
Taxonomy Path: -3.2.2
Taxonomy Name:
Products with this tag: 16
Unique residual values tried: 9
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? |
|---|---|---|---|---|---|
| -10227 | 11.014283 | -3.2.2 | -2.2.3 (-(2*71^2 + 2*71 + 3)) | Yes | |
| -5186 | 11.014680 | -3.2.1 | -1.2.3 (-(5041 + 2*71 + 3)) | No | |
| -86978 | 11.056338 | -3.18.17 | -17.18.3 (-(17*71^2 + 18*71 + 3)) | No | |
| 0 | 12.000000 | 0 | 0 (0) | No | |
| 373185 | 13.014085 | 9.2.3.1 | 1.3.2.9 (357911 + 3*71^2 + 2*71 + 9) | Food, Beverages & Tobacco > Food Items > Candy & Chocolate > Candy | No |
| 25640 | 13.028169 | 9.6.5 | 5.6.9 (5*71^2 + 6*71 + 9) | No | |
| 292605 | 14.000000 | 14.3.58 | 58.3.14 (58*71^2 + 3*71 + 14) | Home & Garden > Decor > Seasonal & Holiday Decorations | No |
| -20454 | 15.000000 | -6.4.4 | -4.4.6 (-(4*71^2 + 4*71 + 6)) | No | |
| 10227 | 15.000000 | 3.2.2 | 2.2.3 (2*71^2 + 2*71 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | No |
These are the training products that have the "CHRISTMAS" tag (processing sequence 1449). 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 |
|---|---|---|---|---|---|---|---|
| 2719 | Nougat - Raspberry & Roast Almond | 373185 | Food, Beverages & Tobacco > Food Items > Candy & Chocolate > Candy | none | 383412 | none | |
| 2515 | Nougat - Rose Petal, Pistachio and Turkish Delight | 373185 | Food, Beverages & Tobacco > Food Items > Candy & Chocolate > Candy | none | 383412 | none | |
| 506 | Out of this world Alien gather Wrapping Paper | 292605 | Home & Garden > Decor > Seasonal & Holiday Decorations | none | 302832 | none | |
| 510 | Cute ghost Wrapping Paper | 292605 | Home & Garden > Decor > Seasonal & Holiday Decorations | none | 302832 | none | |
| 4152 | ChipScapes Set #12: Art with Chips, Series 2 (3 Ornaments) | 25640 | MICROPROCESSOR, ORNAMENT, MICROCOMPUTER, TELEPHONE | 35867 | none | ||
| 6187 | Christmas "Squad" Holiday Ornament | 10227 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | ORNAMENT | 20454 | none | |
| 4154 | ChipScapes Set #2: Flip Chips - AMD, IBM, and S3 (3 Ornaments) | 0 | MICROPROCESSOR, ORNAMENT | 10227 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | |
| 4151 | ChipScapes Set #11: Mixed Types - Intel Flip Chip, IBM System/370 Assembly, Art with Chip, (3 Ornaments) | 0 | MICROPROCESSOR, ORNAMENT | 10227 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | MOTOROLA | |
| 259 | Golden Wreath Earrings | 0 | EARRINGS | 10227 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | |
| 4159 | ChipScapes Set #7: Mixed Types - Silicon Wafer Computer Chips (3 Ornaments) | 0 | MICROPROCESSOR, ORNAMENT, SECURITY, CRYPTO | 10227 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | none | |
| 4150 | ChipScapes Set #10: Mixed Types - Silicon Wafer, Computer Circuit Board, Chip Traces (3 Ornaments) | -5186 | MICROPROCESSOR, ORNAMENT, SILICON WAFER | 5041 | MOTOROLA | ||
| 4155 | ChipScapes Set #3: Computer Logic Chips (3 Ornaments) | -10227 | ORNAMENT, 6502, MEMORY | 0 | MOTOROLA, LOGIC CHIP | ||
| 4157 | ChipScapes Set #5: Computer Circuit Boards with Chips (3 Ornaments) | -10227 | ORNAMENT, 6502, MEMORY | 0 | none | ||
| 4161 | ChipScapes Set #9: Mixed Types - Art with Chip, Circuit Board, Computer Logic Chip (3 Ornaments) | -10227 | ORNAMENT, 6502, MEMORY | 0 | none | ||
| 4153 | ChipScapes Set #1: Art with Computer Chips (3 Ornaments) | -20454 | MICROPROCESSOR, ORNAMENT, 6502, MEMORY | -10227 | LOGIC CHIP | ||
| 2310 | Mini Micro Pave Disc Pendant Necklace | -86978 | PENDANT NECKLACE, ADJUSTABLE NECKLACE, CUBIC ZIRCONIA, SUMMER JEWELRY | -76751 | none |