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- Nils Bertschinger, Johannes Rauh, Eckehard Olbrich, JÃ¼rgen Jost, Nihat Ay
- Entropy
- 2014

We propose 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 thirdâ€¦ (More)

Measures of complexity are of immediate interest for the field of autonomous robots both as a means to classify the behavior and as an objective function for the autonomous development of robotâ€¦ (More)

- Nihat Ay, Daniel Polani
- Advances in Complex Systems
- 2008

SFI WORKING PAPER: 2006-05-014 SFI Working Papers contain accounts of scientific work of the author(s) and do not necessarily represent the views of the Santa Fe Institute. We accept papers intendedâ€¦ (More)

- Nihat Ay
- Entropy
- 2015

Interdependencies of stochastically interacting units are usually quantified by the Kullback-Leibler divergence of a stationary joint probability distribution on the set of all configurations fromâ€¦ (More)

- Nihat Ay, David C. Krakauer
- Theory in Biosciences
- 2007

We provide a geometric framework for investigating the robustness of information flows over biological networks. We use information measures to quantify the impact of knockout perturbations on simpleâ€¦ (More)

- Nils Bertschinger, Eckehard Olbrich, Nihat Ay, JÃ¼rgen Jost
- Biosystems
- 2008

We present a tentative proposal for a quantitative measure of autonomy. This is something that, surprisingly, is rarely found in the literature, even though autonomy is considered to be a basicâ€¦ (More)

We develop a unifying approach for complexity measures, based on the principle that complexity requires interactions at different scales of description. Complex systems are more than the sum of theirâ€¦ (More)

- Thomas Kahle, Eckehard Olbrich, J. Jost, Nihat Ay
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2009

We evaluate information-theoretic quantities that quantify complexity in terms of kth-order statistical dependences that cannot be reduced to interactions among k-1 random variables. Using symbolicâ€¦ (More)

- Nihat Ay, Jessica C. Flack, David C. Krakauer
- Philosophical transactions of the Royal Societyâ€¦
- 2007

In animal communication, signals are frequently emitted using different channels (e.g. frequencies in a vocalization) and different modalities (e.g. gestures can accompany vocalizations). We exploreâ€¦ (More)

- Keyan Zahedi, Nihat Ay, Ralf Der
- Adaptive Behaviour
- 2010

This work presents a novel learning method in the context of embodied artificial intelligence and self-organization, which has as few assumptions and restrictions as possible about the world and theâ€¦ (More)