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Most information dynamics and statistical causal analysis frameworks rely on the common intuition that causal interactions are intrinsically pairwise -- every 'cause' variable has an associated 'effect' variable, so that a 'causal arrow' can be drawn between them.
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We use Y 1 Y 2 Y_{1}Y_{2} as a shorthand notation for the random vector ( Y 1 , Y 2 ) (Y_{1},Y_{2})
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