Fold 3 - Understanding why coefficient -4899185 was selected
Tag: ATHLETIC
Selected Coefficient: -4899185
Taxonomy Path: -0.0.74.9
Taxonomy Name:
Products with this tag: 20
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? |
|---|---|---|---|---|---|
| -4899185 | 7.025801 | -0.0.74.9 | -9.74.0.0 (-(9*79^3 + 74*79^2)) | Yes | |
| -2927029 | 7.025811 | -0.0.74.5 | -5.74.0.0 (-(5*79^3 + 74*79^2)) | No | |
| -4406146 | 7.025811 | -0.0.74.8 | -8.74.0.0 (-(8*79^3 + 74*79^2)) | No | |
| -493039 | 7.026761 | -0.0.0.1 | -1.0.0.0 (-(493039)) | No | |
| 0 | 7.026761 | 0 | 0 (0) | No | |
| -4387423 | 7.026919 | -0.0.71.8 | -8.71.0.0 (-(8*79^3 + 71*79^2)) | No | |
| -5997522 | 7.139241 | -0.78.12.12 | -12.12.78.0 (-(12*79^3 + 12*79^2 + 78*79)) | No | |
| 1098496 | 15.000002 | 1.1.18.2 | 2.18.1.1 (2*79^3 + 18*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Socks > Athletic Socks | No |
| 3070652 | 15.000008 | 1.1.18.6 | 6.18.1.1 (6*79^3 + 18*79^2 + 79 + 1) | No | |
| -5997681 | 18.000160 | -1.1.13.12 | -12.13.1.1 (-(12*79^3 + 13*79^2 + 79 + 1)) | No | |
| -6952554 | 18.000160 | -1.1.8.14 | -14.8.1.1 (-(14*79^3 + 8*79^2 + 79 + 1)) | No |
These are the training products that have the "ATHLETIC" tag (processing sequence 495). 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 |
|---|---|---|---|---|---|---|---|
| 11314 | Heaven Cent | 3070652 | PINK, CLOUDS | 7969837 | none | ||
| 11345 | Berry Go Round | 1098496 | Apparel & Accessories > Clothing > Socks > Athletic Socks | none | 5997681 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | none |
| 11253 | Namaste Bitches | 1098496 | Apparel & Accessories > Clothing > Socks > Athletic Socks | none | 5997681 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | none |
| 11267 | Mary-Jane Austen | 1098496 | Apparel & Accessories > Clothing > Socks > Athletic Socks | none | 5997681 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | CREAM |
| 11315 | Fleeky Friday | 1098496 | Apparel & Accessories > Clothing > Socks > Athletic Socks | none | 5997681 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | CREAM |
| 11333 | C.r.e.a.m. | 0 | ORANGE | 4899185 | CREAM | ||
| 11234 | Who Dat? | -493039 | ORANGE | 4406146 | none | ||
| 11296 | Kaleidoscope Eyes | -2927029 | PINK | 1972156 | none | ||
| 1478 | Black Gumball Board Shorts | -4387423 | PANTS | 511762 | BOTTOMS, GAZZY BY GAZZO, LIFE | ||
| 11295 | Kryptonite | -4406146 | BLUE | 493039 | none | ||
| 11239 | Tupac | -4899185 | BLUE | 0 | none | ||
| 11268 | Marble.O Country | -4899185 | BLUE | 0 | none | ||
| 11306 | Ikatching | -4899185 | BLUE | 0 | none | ||
| 11248 | Mellow Yellow | -4899185 | GREY | 0 | none | ||
| 11358 | 'Merica! | -4899185 | BLUE | 0 | USA | ||
| 11233 | Yo! | -4899185 | BLUE | 0 | none | ||
| 11269 | Lucy's In The Sky | -5997522 | BLUE | -1098337 | none | ||
| 11346 | Baliwood | -5997522 | BLUE | -1098337 | none | ||
| 11240 | Tapestry | -5997681 | ORANGE, BLUE | -1098496 | FLOWER | ||
| 11332 | Cali Me Maybe | -6952554 | PINK, GREEN | -2053369 | none |