Some variations on variation independence.

A. Philip Dawid
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.

Cite this Paper

BibTeX
@InProceedings{pmlr-vR3-dawid01a, title = {Some variations on variation independence.}, author = {Dawid, A. Philip}, booktitle = {Proceedings of the Eighth International Workshop on Artificial Intelligence and Statistics}, pages = {83--86}, year = {2001}, editor = {Richardson, Thomas S. and Jaakkola, Tommi S.}, volume = {R3}, series = {Proceedings of Machine Learning Research}, month = {04--07 Jan}, publisher = {PMLR}, pdf = {http://proceedings.mlr.press/r3/dawid01a/dawid01a.pdf}, url = {https://proceedings.mlr.press/r3/dawid01a.html}, 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.}, note = {Reissued by PMLR on 31 March 2021.} }
Endnote
%0 Conference Paper %T Some variations on variation independence. %A A. Philip Dawid %B Proceedings of the Eighth International Workshop on Artificial Intelligence and Statistics %C Proceedings of Machine Learning Research %D 2001 %E Thomas S. Richardson %E Tommi S. Jaakkola %F pmlr-vR3-dawid01a %I PMLR %P 83--86 %U https://proceedings.mlr.press/r3/dawid01a.html %V R3 %X 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. %Z Reissued by PMLR on 31 March 2021.
APA
Dawid, A.P.. (2001). Some variations on variation independence.. Proceedings of the Eighth International Workshop on Artificial Intelligence and Statistics, in Proceedings of Machine Learning Research R3:83-86 Available from https://proceedings.mlr.press/r3/dawid01a.html. Reissued by PMLR on 31 March 2021.

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