Tag Coefficient Debug: RAINBOW

Fold 3 - Understanding why coefficient 40755 was selected

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Summary

Tag: RAINBOW

Selected Coefficient: 40755

Taxonomy Path: 1.6.8

Taxonomy Name: Apparel & Accessories > Jewelry > Necklaces

Products with this tag: 4

Unique residual values tried: 4

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?
407552.0001981.6.88.6.1 (8*71^2 + 6*71 + 1)Apparel & Accessories > Jewelry > NecklacesYes
457962.0001981.6.99.6.1 (9*71^2 + 6*71 + 1)Apparel & Accessories > Jewelry > RingsNo
-7107102.014085-0.70.69.1-1.69.70.0 (-(357911 + 69*71^2 + 70*71))No
02.01408500 (0)No

Products with this Tag

These are the training products that have the "RAINBOW" tag (processing sequence 157). 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
9229Rounded Band Rainbow Triangles Pride Ring 925 Sterling Silver45796Apparel & Accessories > Jewelry > Ringsnone5041NOAH JEWELRIES
9499DANCING QUEEN: RAINBOW METALLIC BLOCK HEEL SANDALS40755Apparel & Accessories > Jewelry > NecklacesMETALLIC0SS23, _BADGE_NEW_IN_
9379Airbrush #LongLive Portrait With Butterflies Shirt Design0DESIGN, BLUE, T-SHIRT, PORTRAIT, ORANGE, YELLOW-40755none
1529Checkered Hair Clip // Black + White-710710BLACK-751465HAIR ACCESSORIES