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- W3133714099 abstract "In a joint work with D. Bennequin, we suggested that the (negative) minima of the 3-way multivariate mutual information correspond to Borromean links, paving the way for providing probabilistic analogs of linking numbers. This short note generalizes the correspondence of the minima of k-multivariate interaction information with k Brunnian links in the binary variable case. Following Jakulin and Bratko, the negativity of the associated K-L divergence of the joint probability law with its Kirkwood approximation implies an obstruction to local decomposition into lower order interactions than k, defining a local decomposition inconsistency that reverses Abramsky's contextuality local-global relation. Those negative k-links provide a straightforward definition of collective emergence in complex k-body interacting systems or dataset." @default.
- W3133714099 created "2021-03-15" @default.
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- W3133714099 date "2021-01-01" @default.
- W3133714099 modified "2023-10-16" @default.
- W3133714099 title "On Information Links" @default.
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- W3133714099 doi "https://doi.org/10.1007/978-3-030-80209-7_68" @default.
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