Tag Coefficient Debug: PILLOW

Fold 1 - Understanding why coefficient 399675 was selected

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Summary

Tag: PILLOW

Selected Coefficient: 399675

Taxonomy Path: 14.3.64

Taxonomy Name: Home & Garden > Decor > Throw Pillows

Products with this tag: 5

Unique residual values tried: 2

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?
3996750.01265814.3.6464.3.14 (64*79^2 + 3*79 + 14)Home & Garden > Decor > Throw PillowsYes
8040.05063314.1010.14 (10*79 + 14)Home & Garden > Household SuppliesNo

Products with this Tag

These are the training products that have the "PILLOW" tag (processing sequence 1955). 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
18177Lavender Vibrant Butterfly Small Pillow399675Home & Garden > Decor > Throw Pillowsnone0HOME
18178Fur Decorative Pillow399675Home & Garden > Decor > Throw Pillowsnone0HOME
18198Small Bolster Pillow399675Home & Garden > Decor > Throw Pillowsnone0MOM, HOME
18211Medium Lavender Pillow399675Home & Garden > Decor > Throw Pillowsnone0HOME
18186Large Square Lavender Sachet804Home & Garden > Household Suppliesnone-398871HOME