Fold 2 - Understanding why coefficient -4299206 was selected
Tag: LOGIC CHIP
Selected Coefficient: -4299206
Taxonomy Path: -14.60.0.12
Taxonomy Name:
Products with this tag: 6
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? |
|---|---|---|---|---|---|
| -4299206 | 4.014085 | -14.60.0.12 | -12.0.60.14 (-(12*71^3 + 60*71 + 14)) | Yes | |
| -363179 | 4.014085 | -14.3.1.1 | -1.1.3.14 (-(357911 + 5041 + 3*71 + 14)) | No | |
| -378447 | 5.000000 | -17.5.4.1 | -1.4.5.17 (-(357911 + 4*71^2 + 5*71 + 17)) | No | |
| -5186 | 5.000000 | -3.2.1 | -1.2.3 (-(5041 + 2*71 + 3)) | No | |
| 5041 | 5.000000 | 0.0.1 | 1.0.0 (5041) | No | |
| 10227 | 5.000000 | 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 "LOGIC CHIP" tag (processing sequence 2549). 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 |
|---|---|---|---|---|---|---|---|
| 4182 | Decades of Technology - Relays to Microcomputers | 10227 | Arts & Entertainment > Hobbies & Creative Arts > Collectibles | MICROPROCESSOR, GIFT, MICROCOMPUTER, TRANSISTOR | 4309433 | none | |
| 4244 | Rare 1960s 1.6" Silicon Wafer - Mullard FCH211 NAND/NOR Sextuple Inverter - 39mm | 5041 | SILICON WAFER, PROCESSOR WAFER | 4304247 | none | ||
| 4155 | ChipScapes Set #3: Computer Logic Chips (3 Ornaments) | -5186 | ORNAMENT, MOTOROLA | 4294020 | none | ||
| 3813 | Early Computer Chips - The Firsts - Logic Chips, SIlicon Wafer, Chip Dies, RTL, ECL, DTL, TTL, CMOS | -363179 | SILICON WAFER, GIFT, PROCESSOR WAFER | 3936027 | none | ||
| 4153 | ChipScapes Set #1: Art with Computer Chips (3 Ornaments) | -378447 | ORNAMENT, MICROPROCESSOR, GIFT | 3920759 | none | ||
| 3891 | Item004: Computer Chip Earrings - Logic Chip, Dangles, Round, Blue, Silver, TRW | -4299206 | EARRINGS, BLUE, SILVER, ROUND, DANGLES | 0 | none |