Kernel tests xdHSIC, xLI, xSI detect high-order joint independence and factorisation without permutations, with a claimed standard normal null.
The physics of higher-order interactions in complex systems
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Permutation-Free High-Order Interaction Tests
Kernel tests xdHSIC, xLI, xSI detect high-order joint independence and factorisation without permutations, with a claimed standard normal null.