Fold 1 - Understanding why coefficient 514758180 was selected
Tag: GIFT UNDER £30
Selected Coefficient: 514758180
Taxonomy Path: 26.6.4.17.13
Taxonomy Name:
Products with this tag: 13
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? |
|---|---|---|---|---|---|
| 514758180 | 9.000002 | 26.6.4.17.13 | 13.17.4.6.26 (13*79^4 + 17*79^3 + 4*79^2 + 6*79 + 26) | Yes | |
| 518209453 | 9.000006 | 26.6.4.24.13 | 13.24.4.6.26 (13*79^4 + 24*79^3 + 4*79^2 + 6*79 + 26) | No | |
| 0 | 10.000160 | 0 | 0 (0) | No | |
| 2041057 | 10.000160 | 13.3.11.4 | 4.11.3.13 (4*79^3 + 11*79^2 + 3*79 + 13) | Health & Beauty > Personal Care > Massage & Relaxation > Massage Oil | No |
| -510676066 | 10.000320 | -0.0.61.8.13 | -13.8.61.0.0 (-(13*79^4 + 8*79^3 + 61*79^2)) | No | |
| 514633110 | 10.000320 | 13.3.63.16.13 | 13.16.63.3.13 (13*79^4 + 16*79^3 + 63*79^2 + 3*79 + 13) | No | |
| -2041057 | 12.000000 | -13.3.11.4 | -4.11.3.13 (-(4*79^3 + 11*79^2 + 3*79 + 13)) | No | |
| 942561 | 12.000000 | 12.2.72.1 | 1.72.2.12 (493039 + 72*79^2 + 2*79 + 12) | No | |
| 1110899 | 12.000000 | 1.0.20.2 | 2.20.0.1 (2*79^3 + 20*79^2 + 1) | No |
These are the training products that have the "GIFT UNDER £30" tag (processing sequence 1515). 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 |
|---|---|---|---|---|---|---|---|
| 12767 | De-Stress Aromatherapy Hand Balm with Juniper & Grapefruit | 518209453 | ANTI-AGEING | 3451273 | HAND CREAM | ||
| 13718 | Aromatherapy Bath Oil with De-Stressing Juniper & Grapefruit - Heart Bottle | 514758180 | ANTI-AGEING | 0 | none | ||
| 13658 | Calming Aromatherapy Roller Ball with Rose & Ylang Ylang | 514758180 | ANTI-AGEING | 0 | none | ||
| 13696 | Aromatherapy Bath Oil with Soothing Geranium, Cypress & Lavender - Heart Bottle | 514758180 | ANTI-AGEING | 0 | ORGANIC CLEANSER | ||
| 13683 | Aromatherapy Bath Oil with Calming Rose & Ylang Ylang - Heart Bottle | 514633110 | ANTI-AGEING, AWARD WINNING | -125070 | none | ||
| 13659 | Soothing Aromatherapy Roller Ball with Geranium, Cypress & Lavender | 2041057 | Health & Beauty > Personal Care > Massage & Relaxation > Massage Oil | none | -512717123 | none | |
| 13597 | De-Stress Aromatherapy Roller Ball with Juniper & Grapefruit | 2041057 | Health & Beauty > Personal Care > Massage & Relaxation > Massage Oil | none | -512717123 | none | |
| 13712 | Luxury Aromatherapy Candle - Rose Tree No. 1 - De-Stress - Travel Size | 1110899 | AWARD WINNING | -513647281 | LUXURY ORGANIC CANDLE WICK TRIMMER, ORGANIC GIFT, TRAVEL SIZE | ||
| 13710 | Luxury Aromatherapy Candle - Rose Tree No. 12, Travel Size - Restore | 942561 | ORANGE, AWARD WINNING, CALM | -513815619 | LUXURY ORGANIC CANDLE WICK TRIMMER, ORGANIC GIFT | ||
| 13656 | De-Stress Aromatherapy Little Treats Gift Set | 0 | AWARD WINNING | -514758180 | HAND CREAM | ||
| 13713 | Luxury Aromatherapy Candle - Rose Tree No. 7, Travel Size - Calm | 0 | AROMATHERAPY, AWARD WINNING, CALM | -514758180 | LUXURY ORGANIC CANDLE WICK TRIMMER, TRAVEL SIZE | ||
| 13655 | Soothing Aromatherapy Little Treats Gift Set | -2041057 | AROMATHERAPY, AWARD WINNING | -516799237 | HAND CREAM | ||
| 13714 | Best Sellers Capsule Set | -510676066 | ACNE | -1025434246 | ORGANIC CLEANSER |