Tag Coefficient Debug: COOL

Fold 2 - Understanding why coefficient -4025525 was selected

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Summary

Tag: COOL

Selected Coefficient: -4025525

Taxonomy Path: -1.1.13.8

Taxonomy Name:

Products with this tag: 5

Unique residual values tried: 3

Candidate Coefficients Tried

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?
-40255252.000000-1.1.13.8-8.13.1.1 (-(8*79^3 + 13*79^2 + 79 + 1))Yes
-80510504.000000-2.2.26.16-16.26.2.2 (-(16*79^3 + 26*79^2 + 2*79 + 2))No
04.00000000 (0)No

Products with this Tag

These are the training products that have the "COOL" tag (processing sequence 1909). 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
984Kamika 20SANDAL4025525Apparel & Accessories > Clothing > Clothing Tops > T-Shirtsnone
5342Airbrush ZOA Shirt Design-4025525LETTERS, T-SHIRT0none
5382Airbrush Born in the 80s Shirt Design-4025525LETTERS, T-SHIRT0BABY
5501Airbrush Est. 1998 Shirt Design-4025525LETTERS, T-SHIRT0none
9488Airbrush Beyonce Renaissance Tour Shirt-8051050LETTERS, CONCERT, T-SHIRT-4025525HEARTS