Module numerical 

Numerical utilities for numerically stable computation

Provides compensated summation (Kahan) and other numerical primitives used in training loops and loss computation.

Functions

kahan_mean

Numerically stable mean computation using Kahan summation

kahan_sum

Kahan compensated summation — reduces floating-point accumulation error from O(n * eps) to O(eps) for n addends.

kahan_sum_f64

Kahan compensated summation for f64 values

kahan_variance

Numerically stable variance computation (two-pass with Kahan)