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# Some variations on variation independence.

*Proceedings of the Eighth International Workshop on Artificial Intelligence and Statistics*, PMLR R3:83-86, 2001.

#### Abstract

Variation independence of functions is a simple natural ’irrelevance’ property arising in a number of applications in Artificial Intelligence and Statistics. We show how it can be alternatively expressed in terms of two other representations of the same underlying structure: equivalence relations and $\tau$ -fields.