N
Nihat Ay
Researcher at Max Planck Society
Publications - 167
Citations - 3777
Nihat Ay is an academic researcher from Max Planck Society. The author has contributed to research in topics: Divergence (statistics) & Mutual information. The author has an hindex of 32, co-authored 162 publications receiving 3364 citations. Previous affiliations of Nihat Ay include Hamburg University of Technology & National Institute of Standards and Technology.
Papers
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Information flows in causal networks
Nihat Ay,Nihat Ay,Daniel Polani +2 more
TL;DR: A notion of causal independence based on intervention is used to define a measure for the strength of a causal effect, called "information flow", which is compared with known information flow measures such as transfer entropy.
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Quantifying unique information
TL;DR: In this paper, the authors proposed new measures of shared information, unique information and synergistic information that can be used to decompose the mutual information of a pair of random variables (Y, Z) with a third random variable X.
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Predictive information and explorative behavior of autonomous robots
TL;DR: P predictive information in sensor space is considered as a measure for the behavioral complexity of a two-wheel embodied robot moving in a rectangular arena with several obstacles and can be generalized and may help to derive explicit learning rules from complexity theoretic measures.
Journal ArticleDOI
Quantifying unique information
TL;DR: New measures of shared information, unique information and synergistic information that can be used to decompose the mutual information of a pair of random variables with a third random variable X are proposed.
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Refinements of universal approximation results for deep belief networks and restricted boltzmann machines
Guido Montúfar,Nihat Ay +1 more
TL;DR: It is shown that any distribution on the set of binary vectors of length can be arbitrarily well approximated by an RBM with hidden units, and this confirms a conjecture presented in Le Roux and Bengio (2010).