Fold 3 - Understanding why coefficient 172392 was selected
Tag: WEARABLES
Selected Coefficient: 172392
Taxonomy Path: 1.2.25
Taxonomy Name:
Products with this tag: 20
Unique residual values tried: 13
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? |
|---|---|---|---|---|---|
| 172392 | 10.048483 | 1.2.25 | 25.2.1 (25*83^2 + 2*83 + 1) | Yes | |
| 117280 | 10.048919 | 1.2.17 | 17.2.1 (17*83^2 + 2*83 + 1) | No | |
| 227504 | 10.048919 | 1.2.33 | 33.2.1 (33*83^2 + 2*83 + 1) | No | |
| 7139 | 10.084337 | 1.3.1 | 1.3.1 (6889 + 3*83 + 1) | Apparel & Accessories > Costumes & Accessories > Costume Accessories | No |
| 68974 | 10.108434 | 1.1.10 | 10.1.1 (10*83^2 + 83 + 1) | No | |
| 0 | 14.012052 | 0 | 0 (0) | No | |
| -4574296 | 14.012055 | -0.0.0.8 | -8.0.0.0 (-(8*83^3)) | No | |
| -571787 | 14.012055 | -0.0.0.1 | -1.0.0.0 (-(571787)) | No | |
| -4663770 | 14.060241 | -0.82.12.8 | -8.12.82.0 (-(8*83^3 + 12*83^2 + 82*83)) | No | |
| 170 | 18.012048 | 4.2 | 2.4 (2*83 + 4) | No | |
| -563898 | 18.012048 | -79.70.81 | -81.70.79 (-(81*83^2 + 70*83 + 79)) | No | |
| -138037 | 19.000000 | -8.3.20 | -20.3.8 (-(20*83^2 + 3*83 + 8)) | No | |
| 1536507 | 19.000000 | 11.3.57.2 | 2.57.3.11 (2*83^3 + 57*83^2 + 3*83 + 11) | No |
These are the training products that have the "WEARABLES" tag (processing sequence 6891). 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 |
|---|---|---|---|---|---|---|---|
| 13416 | Little Miss One-derful First Birthday Lace Crown | 1 ct | 1536507 | LITTLE MISS ONE-DERFUL | 1364115 | none | ||
| 13425 | Little Mister One-derful First Birthday Bowtie, 2.85" x 11.75" | 1 ct | 227504 | none | 55112 | none | ||
| 12928 | Modern Birthday Deluxe Sash | 1 ct | 172392 | none | 0 | none | ||
| 13246 | Sparkling Celebration Fabric Sash, 60 | 1 ct | 172392 | none | 0 | none | ||
| 13245 | Sparkling Celebration Fabric Sash, 50 | 1 ct | 172392 | none | 0 | none | ||
| 13233 | Sparkling Celebration Fabric Sash, 30 | 1 ct | 172392 | none | 0 | none | ||
| 13037 | Modern Birthday Large Cone Hat, 10.5" | 1 ct | 117280 | none | -55112 | none | ||
| 1437 | FINE KNIT CASHMERE FEEL PONCHO | 68974 | none | -103418 | none | ||
| 13058 | Oui Party Birthday Party Hats | 8 ct | 7139 | Apparel & Accessories > Costumes & Accessories > Costume Accessories | none | -165253 | none | |
| 13042 | Modern Birthday Mini Foil Cone Hats, Assortment 4" | 12 ct | 7139 | Apparel & Accessories > Costumes & Accessories > Costume Accessories | none | -165253 | none | |
| 13095 | Princess Party Hats | 8 ct | 7139 | Apparel & Accessories > Costumes & Accessories > Costume Accessories | none | -165253 | none | |
| 13428 | Little Mister One-derful First Birthday Cone Hat, 7" x 5" | 1 ct | 170 | none | -172222 | none | ||
| 1448 | Lightweight Tie Dyed Print Kimono | 0 | KIMONOS | -172392 | none | ||
| 13118 | Spa Party Head Bands | 6pcs | 0 | HEADBAND | -172392 | none | ||
| 12927 | Modern Birthday Crown Headband | 1ct | 0 | HEADBAND | -172392 | none | ||
| 11326 | Crafting wearables + Fabtronic Sewing Set | -138037 | GIFT SET | -310429 | none | ||
| 12892 | Adventure Birthday Bear Hats 6.5" | 8 ct | -563898 | BEAR, HATS | -736290 | none | ||
| 13006 | Hip Hip Hooray Party Hats, Assorted, 7" | 9 ct | -571787 | HATS | -744179 | none | ||
| 1447 | Lightweight Solid Duster Kimono with Long Stripe Print | -4574296 | KIMONOS | -4746688 | none | ||
| 13079 | Pawsome Party Headbands, Assorted | 4 ct | -4663770 | HEADBANDS | -4836162 | none |