Importance-Optimised p-adic Linear Regression fold 1

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P-adic loss (mean): 0.38147304 · Test samples: 1,808 · Accuracy: 37.67% · F1: 0.4151 · Prime base: 79 · Max digit: 76

P-adic loss breakdown

Strict Refinement Analysis

Strict refinement: all non-zero coefficient tags have distinct p-adic valuations.

All Products (including degenerate cases)

Degenerate cases (0 or 1 non-zero coefficients) count as strict refinement.

Chi-squared test: χ² = 28.1470, p = 1.124e-07

P-adic Loss Comparison (Mann-Whitney U-test): Strict: n=1225, mean=0.299932, median=0.000160 · Non-strict: n=583, mean=0.552807, median=1.000000 · U = 272425.0, p = 5.113e-18

Non-Degenerate Only (2+ non-zero coefficients)

Excludes products with fewer than 2 tags with non-zero coefficients.

Chi-squared test: χ² = 2.1349, p = 0.144

P-adic Loss Comparison (Mann-Whitney U-test): Strict: n=80, mean=0.213792, median=0.000002 · Non-strict: n=583, mean=0.552807, median=1.000000 · U = 16601.5, p = 4.961e-06

P-adic Leading Zeros by Tag Rank

Log Proportion of Non-Zero Coefficients

Rolling Average of Non-Zero Coefficients

Tag coefficients