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- W179483555 abstract "In this paper ideal undirected independence tests are defined and it is investigated whether optimal ones exist in the arithmetical hierarchy of functions. It is shown that there are no non-constant universal independence tests in the classes of recursive and co-enumerable functions. However, there exists one in the classes Σn, n ≥ 2 which equals algorithmic mutual information up to a small term. Mutual information can be decomposed as a sum of three parts: information transfer from x to y, information transfer from y to x and common simultaneous information. We investigate the objectivity of both tests. A small amount of prior information can only result in a decrease of the test strength, but it can change its decomposition in algorithmic information transfer arbitrarily." @default.
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- W179483555 date "2007-01-01" @default.
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- W179483555 title "Mutual information and algorithmic information transfer as ideal undirected and directed independence tests." @default.
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