Fold 4 - Understanding why coefficient -4899185 was selected
Tag: ATHLETIC
Selected Coefficient: -4899185
Taxonomy Path: -0.0.74.9
Taxonomy Name:
Products with this tag: 25
Unique residual values tried: 12
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? |
|---|---|---|---|---|---|
| -4899185 | 13.013305 | -0.0.74.9 | -9.74.0.0 (-(9*79^3 + 74*79^2)) | Yes | |
| -2927029 | 13.013309 | -0.0.74.5 | -5.74.0.0 (-(5*79^3 + 74*79^2)) | No | |
| -4406146 | 13.013311 | -0.0.74.8 | -8.74.0.0 (-(8*79^3 + 74*79^2)) | No | |
| 0 | 13.013784 | 0 | 0 (0) | No | |
| -493039 | 13.013784 | -0.0.0.1 | -1.0.0.0 (-(493039)) | No | |
| -5997522 | 13.139241 | -0.78.12.12 | -12.12.78.0 (-(12*79^3 + 12*79^2 + 78*79)) | No | |
| 1098496 | 16.012818 | 1.1.18.2 | 2.18.1.1 (2*79^3 + 18*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Socks > Athletic Socks | No |
| 2964555 | 16.013780 | 1.1.1.6 | 6.1.1.1 (6*79^3 + 6241 + 79 + 1) | Apparel & Accessories > Clothing > Activewear > Sports Bras | No |
| 5073460 | 16.101266 | 1.73.22.10 | 10.22.73.1 (10*79^3 + 22*79^2 + 73*79 + 1) | No | |
| -8924710 | 21.000320 | -1.1.8.18 | -18.8.1.1 (-(18*79^3 + 8*79^2 + 79 + 1)) | No | |
| -5997681 | 21.000481 | -1.1.13.12 | -12.13.1.1 (-(12*79^3 + 13*79^2 + 79 + 1)) | No | |
| -8412948 | 21.000481 | -1.1.5.17 | -17.5.1.1 (-(17*79^3 + 5*79^2 + 79 + 1)) | No |
These are the training products that have the "ATHLETIC" tag (processing sequence 502). 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 |
|---|---|---|---|---|---|---|---|
| 11248 | Mellow Yellow | 5073460 | GREY | 9972645 | none | ||
| 1479 | Black Gumball Star Bra | 2964555 | Apparel & Accessories > Clothing > Activewear > Sports Bras | none | 7863740 | GAZZY BY GAZZO, LIFE | |
| 11331 | Coachillin' | 1098496 | Apparel & Accessories > Clothing > Socks > Athletic Socks | none | 5997681 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | PATTERN |
| 11296 | Kaleidoscope Eyes | 1098496 | Apparel & Accessories > Clothing > Socks > Athletic Socks | none | 5997681 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | none |
| 11314 | Heaven Cent | 1098496 | Apparel & Accessories > Clothing > Socks > Athletic Socks | none | 5997681 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | none |
| 11345 | Berry Go Round | 1098496 | Apparel & Accessories > Clothing > Socks > Athletic Socks | none | 5997681 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | none |
| 11247 | Pretty Liar | 1098496 | Apparel & Accessories > Clothing > Socks > Athletic Socks | none | 5997681 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | FLORAL |
| 11267 | Mary-Jane Austen | 1098496 | Apparel & Accessories > Clothing > Socks > Athletic Socks | none | 5997681 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | CREAM, FLORAL |
| 11279 | Lily Vanilli | 1098496 | Apparel & Accessories > Clothing > Socks > Athletic Socks | none | 5997681 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | FLORAL |
| 11357 | 4th Ave Tag | 0 | ORANGE | 4899185 | none | ||
| 11333 | C.r.e.a.m. | 0 | ORANGE | 4899185 | CREAM, FLORAL | ||
| 11234 | Who Dat? | -493039 | ORANGE | 4406146 | none | ||
| 11281 | Ladybird | -493039 | ORANGE | 4406146 | FRUIT | ||
| 11280 | Let Me See Your Peacock | -2927029 | GREEN | 1972156 | none | ||
| 11332 | Cali Me Maybe | -2927029 | GREEN | 1972156 | none | ||
| 11295 | Kryptonite | -4406146 | BLUE | 493039 | none | ||
| 11358 | 'Merica! | -4899185 | BLUE | 0 | none | ||
| 11233 | Yo! | -4899185 | BLUE | 0 | none | ||
| 11239 | Tupac | -4899185 | BLUE | 0 | FLORAL | ||
| 11306 | Ikatching | -4899185 | BLUE | 0 | none | ||
| 11269 | Lucy's In The Sky | -5997522 | BLUE | -1098337 | none | ||
| 11240 | Tapestry | -5997681 | ORANGE, BLUE | -1098496 | FLORAL | ||
| 1478 | Black Gumball Board Shorts | -8412948 | PANTS, APPAREL | -3513763 | BOTTOMS, GAZZY BY GAZZO, LIFE, SWIM | ||
| 11344 | Block Party | -8924710 | WHITE, BLUE | -4025525 | CREAM | ||
| 11235 | Uncle Sam | -8924710 | WHITE, BLUE | -4025525 | none |