Tag Coefficient Debug: SAGE

Fold 4 - Understanding why coefficient -4025525 was selected

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Summary

Tag: SAGE

Selected Coefficient: -4025525

Taxonomy Path: -1.1.13.8

Taxonomy Name:

Products with this tag: 3

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
02.00000000 (0)No
5463495242.00000060.77.9.2.1414.2.9.77.60 (14*79^4 + 2*79^3 + 9*79^2 + 77*79 + 60)No

Products with this Tag

These are the training products that have the "SAGE" tag (processing sequence 2523). 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
205White Sage Smudge Stick546349524INCENSE, RITUAL550375049none
915Cast Iron Burner Cauldron with wooden handle0CHARCOAL, INCENSE4025525Apparel & Accessories > Clothing > Clothing Tops > T-Shirtsnone
9515Dalia Sage Sandal-4025525GREEN, SANDALS0none