Fold 0 - Understanding why coefficient 25411681 was selected
Tag: SMALL
Selected Coefficient: 25411681
Taxonomy Path: 0.0.0.0.1
Taxonomy Name:
Products with this tag: 18
Unique residual values tried: 11
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? |
|---|---|---|---|---|---|
| 25411681 | 7.014087 | 0.0.0.0.1 | 1.0.0.0.0 (25411681) | Yes | |
| 0 | 7.014087 | 0 | 0 (0) | No | |
| -25411681 | 7.014088 | -0.0.0.0.1 | -1.0.0.0.0 (-(25411681)) | No | |
| -77308776 | 7.014110 | -0.0.0.3.3 | -3.3.0.0.0 (-(3*71^4 + 3*71^3)) | No | |
| 362384 | 7.140845 | 0.63.0.1 | 1.0.63.0 (357911 + 63*71) | No | |
| -103799375 | 15.000000 | -2.2.1.6.4 | -4.6.1.2.2 (-(4*71^4 + 6*71^3 + 5041 + 2*71 + 2)) | No | |
| -52976013 | 15.000000 | -2.2.1.6.2 | -2.6.1.2.2 (-(2*71^4 + 6*71^3 + 5041 + 2*71 + 2)) | No | |
| 356106176 | 17.000000 | 67.68.67.0.14 | 14.0.67.68.67 (14*71^4 + 67*71^2 + 68*71 + 67) | No | |
| -122038288 | 17.000000 | -9.10.69.56.4 | -4.56.69.10.9 (-(4*71^4 + 56*71^3 + 69*71^2 + 10*71 + 9)) | No | |
| 78387694 | 17.000000 | 2.2.1.6.3 | 3.6.1.2.2 (3*71^4 + 6*71^3 + 5041 + 2*71 + 2) | Animals & Pet Supplies > Pet Supplies > Bird Supplies > Bird Toys > Chew Toys | No |
| -128163235 | 17.000000 | -70.11.6.3.5 | -5.3.6.11.70 (-(5*71^4 + 3*71^3 + 6*71^2 + 11*71 + 70)) | No |
These are the training products that have the "SMALL" tag (processing sequence 2106). 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 |
|---|---|---|---|---|---|---|---|
| 1514 | CHECKER QUILT JACKET BY SAJ | 356106176 | TOP, KIDS | 330694495 | none | ||
| 5930 | Lenese Front-Wrap Midi Dress | 78387694 | Animals & Pet Supplies > Pet Supplies > Bird Supplies > Bird Toys > Chew Toys | 50-100, DPA-CLOTHING, PRIVATELABEL | 52976013 | Animals & Pet Supplies > Pet Supplies > Bird Supplies > Bird Toys > Bells & Beads | none |
| 3894 | Wood Toss Rings | 25411681 | MEDIUM, SHOP: BULK TOY PARTS, SHOP: WOOD | 0 | none | ||
| 3873 | Vine Sticks | 25411681 | MEDIUM, SHOP: BULK TOY PARTS | 0 | none | ||
| 3876 | Vine Twist Log | 25411681 | MEDIUM, SHOP: BULK TOY PARTS, SHOP: NEW PRODUCTS | 0 | none | ||
| 3885 | Wood Handle | 25411681 | MEDIUM, SHOP: WOOD | 0 | none | ||
| 6335 | BAB - "Besties" Coffee/Tea Mug | 362384 | GIFT, SORORITY, AFFORDABLE | -25049297 | none | ||
| 6412 | Insulated Wine Glass Tumbler - Stay out of my quarantine “Bubble” | 0 | GIFT, AFFORDABLE | -25411681 | BIRTHDAY | ||
| 6484 | Insulated Wine Glass Tumbler - Birthday Drip | 0 | GIFT, AFFORDABLE | -25411681 | BIRTHDAY | ||
| 6496 | Insulated Wine Glass Tumbler - 1920 | 0 | GIFT, AFFORDABLE | -25411681 | BIRTHDAY | ||
| 6471 | Insulated Wine Glass Tumbler - The Educator | 0 | GIFT, AFFORDABLE | -25411681 | BIRTHDAY | ||
| 3835 | Star Treats | -25411681 | MEDIUM | -50823362 | none | ||
| 3822 | Square Woven Foot Toy | -52976013 | LARGE, MEDIUM | -78387694 | none | ||
| 3909 | ZuPreem - Natural - Medium Birds | -77308776 | MEDIUM | -102720457 | none | ||
| 3912 | ZuPreem - NutBlend Flavor | -103799375 | MEDIUM, SHOP: NEW PRODUCTS, SHOP: PARROT FOOD | -129211056 | none | ||
| 3836 | Sunflower Pot | -103799375 | MEDIUM, SHOP: HANGING TOYS | -129211056 | none | ||
| 8156 | ADAPT Seamless Sports Bra / Black | -122038288 | COLOR_BLACK, LARGE, MEDIUM | -147449969 | XS | ||
| 6186 | Zeta Phi Beta Key Chain Tag | -128163235 | SORORITY, AFFORDABLE | -153574916 | BIRTHDAY, ZETA |