Fold 2 - Understanding why coefficient -8721074 was selected
Tag: PURPLE
Selected Coefficient: -8721074
Taxonomy Path: -2.2.26.24
Taxonomy Name:
Products with this tag: 23
Unique residual values tried: 18
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? |
|---|---|---|---|---|---|
| -5857786 | 17.014487 | -2.2.26.16 | -16.26.2.2 (-(16*71^3 + 26*71^2 + 2*71 + 2)) | No | |
| -8721074 | 17.014487 | -2.2.26.24 | -24.26.2.2 (-(24*71^3 + 26*71^2 + 2*71 + 2)) | Yes | |
| -7289430 | 17.014487 | -2.2.26.20 | -20.26.2.2 (-(20*71^3 + 26*71^2 + 2*71 + 2)) | No | |
| -9799848 | 17.014680 | -2.2.27.27 | -27.27.2.2 (-(27*71^3 + 27*71^2 + 2*71 + 2)) | No | |
| -9774572 | 17.070423 | -2.1.22.27 | -27.22.1.2 (-(27*71^3 + 22*71^2 + 71 + 2)) | No | |
| -2928893 | 20.000000 | -1.1.13.8 | -8.13.1.1 (-(8*71^3 + 13*71^2 + 71 + 1)) | No | |
| -11649967 | 20.014085 | -3.3.39.32 | -32.39.3.3 (-(32*71^3 + 39*71^2 + 3*71 + 3)) | No | |
| -10213137 | 20.014085 | -0.1.38.28 | -28.38.1.0 (-(28*71^3 + 38*71^2 + 71)) | No | |
| -10227 | 20.028169 | -3.2.2 | -2.2.3 (-(2*71^2 + 2*71 + 3)) | No | |
| 0 | 20.028169 | 0 | 0 (0) | No | |
| 3997585 | 22.000000 | 1.1.12.11 | 11.12.1.1 (11*71^3 + 12*71^2 + 71 + 1) | Apparel & Accessories > Clothing > Pants > Trousers | No |
| -8715871 | 22.000000 | -53.70.24.24 | -24.24.70.53 (-(24*71^3 + 24*71^2 + 70*71 + 53)) | No | |
| -7278486 | 22.000000 | -63.60.23.20 | -20.23.60.63 (-(20*71^3 + 23*71^2 + 60*71 + 63)) | No | |
| -4324693 | 22.000000 | -12.64.5.12 | -12.5.64.12 (-(12*71^3 + 5*71^2 + 64*71 + 12)) | No | |
| -4314661 | 22.000000 | -62.64.3.12 | -12.3.64.62 (-(12*71^3 + 3*71^2 + 64*71 + 62)) | No | |
| 23 | 22.000000 | 23 | 23 (23) | Sporting Goods | No |
| 1800075 | 22.000000 | 12.6.2.5 | 5.2.6.12 (5*71^3 + 2*71^2 + 6*71 + 12) | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | No |
| -17064002 | 22.000000 | -4.3.48.47 | -47.48.3.4 (-(47*71^3 + 48*71^2 + 3*71 + 4)) | No |
These are the training products that have the "PURPLE" tag (processing sequence 49). 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 |
|---|---|---|---|---|---|---|---|
| 1567 | LYNX Organic Cotton Trouser - Purple | 3997585 | Apparel & Accessories > Clothing > Pants > Trousers | none | 12718659 | TROUSERS, 50-100, SS23, ORGANIC COTTON | |
| 10242 | Purple Arrow Print Drawer Knobs/Grey Ceramic Cabinet Pulls Woodland Forest Nursery Decor for Baby Girls (Set of Two) | 1800075 | Hardware > Hardware Accessories > Cabinet Hardware > Cabinet Knobs & Handles | none | 10521149 | GREY | |
| 8640 | Mercedes AMG Petronas F1 Lewis Hamilton Flag | 23 | Sporting Goods | none | 8721097 | LEWIS HAMILTON, KIDS, WOMEN, ADULT | |
| 5521 | Airbrush Pet Portrait With Purple Design | 0 | DESIGN | 8721074 | CAT | ||
| 4116 | Item042: Silicon Wafer Computer Chip Earrings - Purple & Fire | -10227 | EARRINGS, SILICON WAFER | 8710847 | none | ||
| 9364 | Airbrush Pet Portrait with Purple Design | -2928893 | DESIGN, BLACK | 5792181 | DOG, PUPPY | ||
| 5502 | Airbrush Pet Portrait With Purple Design | -2928893 | DESIGN, BLACK | 5792181 | CAT, PUPPY | ||
| 9363 | Airbrush Purple Pet Portrait Design | -2928893 | DESIGN, BLACK | 5792181 | DOG, PUPPY | ||
| 6302 | Ellie Stylish Lightweight Fabric Chair with Solid Beech Legs and Contemporary Panel Stitching ET | -4314661 | BLUE | 4406413 | GREY, YELLOW | ||
| 7914 | Violet Storm | -4324693 | BLUE, SILVER | 4396381 | YELLOW, ABSTRACT, INSTALLATION | ||
| 5522 | Airbrush Pet Portrait Design | -5857786 | DESIGN, BLACK, WHITE | 2863288 | CAT | ||
| 6301 | Crypto Designer Mesh Armchair with White Frame and Detailed Back Panelling ET | -7278486 | BLACK, BLUE | 1442588 | FIXED ARMS | ||
| 5342 | Airbrush ZOA Shirt Design | -7289430 | DESIGN, BLACK, BLUE | 1431644 | T-SHIRT, 80S, ORANGE, COLORFUL | ||
| 9990 | Homemade Natural Mala Necklace | -8715871 | BLUE, PINK | 5203 | Religious & Ceremonial > Religious Items > Prayer Beads | GREY, YELLOW, BROWN, BEADS | |
| 5428 | Airbrush Millennium Tour Design | -8721074 | DESIGN, BLUE, PINK | 0 | 2021, 80S, MILLENNIUM TOUR | ||
| 6718 | Mercedes AMG Petronas F1 2023 Lewis Hamilton Baseball Hat | -9774572 | BLACK, BLUE, WHITE | -1053498 | GREY, LEWIS HAMILTON, PEACH, WOMEN, ADULT | ||
| 9478 | Airbrush Crop Top And Jogger Set | -9799848 | WHITE, PINK, JOGGERS | -1078774 | 2000S | ||
| 9489 | Airbrush Crop Top And Jogger Set With Name | -9799848 | WHITE, PINK, JOGGERS | -1078774 | 2000S | ||
| 7880 | She Escaped: Among Frilly Feathered Top Hats | -10213137 | BLACK, BLUE, WHITE | -1492063 | BROWN, ORANGE, TAN, BEIGE, ABSTRACT, ACRYLIC, BRIGHT COLORS, SQUARE | ||
| 7871 | Roebling Suspension Bridge, Early Morning | -10213137 | BLACK, BLUE, WHITE | -1492063 | OIL, YELLOW, ORANGE, CANVAS, HORIZONTAL | ||
| 9488 | Airbrush Beyonce Renaissance Tour Shirt | -11649967 | DESIGN, BLACK, BLUE, PINK | -2928893 | T-SHIRT, 80S, COLORFUL | ||
| 5510 | Airbrush Pet Portrait With Rainbow Design | -11649967 | DESIGN, BLACK, BLUE, PINK | -2928893 | RAINBOW, ORANGE, DOG, PUPPY | ||
| 6680 | Mercedes AMG Petronas F1 2023 Kids Lewis Hamilton Baseball Hat - Youth | -17064002 | BLACK, BLUE, WHITE, PINK, GREEN | -8342928 | GREY, LEWIS HAMILTON, YELLOW, KIDS, PEACH, WOMEN |