# Approximate conditioning

April 3, 2024 — April 3, 2024

algebra

approximation

functional analysis

graphical models

measure

metrics

networks

optimization

probability

statistics

### Assumed audience:

Data scientists who must pretend they can remember statistics

A placeholder for something I don’t have time to explain right now, sorry.

## 1 Gaussian

Via arithmetic-harmonic mean.

## 2 Annealed

Maybe. See annealing in inference.

## 3 References

Liao, and Wu. 2015. “Reverse Arithmetic-Harmonic Mean and Mixed Mean Operator Inequalities.”

*Journal of Inequalities and Applications*.
Mond, and Pec̆arić. 1996. “A Mixed Arithmetic-Mean-Harmonic-Mean Matrix Inequality.”

*Linear Algebra and Its Applications*, Linear Algebra and Statistics: In Celebration of C. R. Rao’s 75th Birthday (September 10, 1995),.
Sharma. 2008. “Some More Inequalities for Arithmetic Mean, Harmonic Mean and Variance.”

*Journal of Mathematical Inequalities*.