Tag Coefficient Debug: PUPPY

Fold 3 - Understanding why coefficient 4360537 was selected

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Summary

Tag: PUPPY

Selected Coefficient: 4360537

Taxonomy Path: 1.1.13.12

Taxonomy Name: Apparel & Accessories > Clothing > Clothing Tops > Sweaters

Products with this tag: 8

Unique residual values tried: 6

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?
43605374.0000031.1.13.1212.13.1.1 (12*71^3 + 13*71^2 + 71 + 1)Apparel & Accessories > Clothing > Clothing Tops > SweatersYes
29288934.0000081.1.13.88.13.1.1 (8*71^3 + 13*71^2 + 71 + 1)Apparel & Accessories > Clothing > Clothing Tops > T-ShirtsNo
-6537.000000-14.9-9.14 (-(9*71 + 14))No
3273037.00000064.65.6464.65.64 (64*71^2 + 65*71 + 64)No
14316447.0000000.0.0.44.0.0.0 (4*71^3)No
103692047.0000009.69.68.2828.68.69.9 (28*71^3 + 68*71^2 + 69*71 + 9)No

Products with this Tag

These are the training products that have the "PUPPY" tag (processing sequence 1915). 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
75061.5" 'Fetch' Bone10369204COLOR_BLACK, DOG TAG6008667none
9362Airbrush Dog Portrait w/ Name Design4360537Apparel & Accessories > Clothing > Clothing Tops > SweatersDESIGN, BLACK, PET, DOG0none
9364Airbrush Pet Portrait with Purple Design4360537Apparel & Accessories > Clothing > Clothing Tops > SweatersDESIGN, BLACK, PET, DOG0none
9363Airbrush Purple Pet Portrait Design4360537Apparel & Accessories > Clothing > Clothing Tops > SweatersDESIGN, BLACK, PET, DOG0none
5502Airbrush Pet Portrait With Purple Design2928893Apparel & Accessories > Clothing > Clothing Tops > T-ShirtsDESIGN, BLACK, PET, CAT-1431644none
9361Airbrush Pet Portrait Shirt Design1431644DESIGN, BLACK, PET, WHITE, DOG-2928893none
75051" Puppy - Assorted327303COLORFUL, COLOR_ASSORTED, DOG TAG-4033234none
5509Airbrush Pet Portrait With Blue Design-653DESIGN, BLACK, BLUE, PET, DOG, GRAY-4361190none