Nihat Ay

Publication Activity (10 Years)

Years Active: 2000-2024
Publications (10 Years): 44

Top Topics

Boltzmann Machines

Information Flows

Invariance Properties

Information Geometry

Top Venues

Publications

Jesse van Oostrum, Peter van Hintum, Nihat Ay
Inversion of Bayesian networks. Int. J. Approx. Reason. 164 (2024)
Jesse van Oostrum, Carlotta Langer, Nihat Ay
A Concise Mathematical Description of Active Inference in Discrete Time. CoRR (2024)
Nihat Ay, Jesse van Oostrum
On the Fisher-Rao Gradient of the Evidence Lower Bound. CoRR (2023)
Csongor Várady, Riccardo Volpi, Luigi Malagò, Nihat Ay
Natural Reweighted Wake-Sleep. Neural Networks 155 (2022)
Jesse van Oostrum, Johannes Müller, Nihat Ay
Invariance Properties of the Natural Gradient in Overparametrised Systems. CoRR (2022)
Carlotta Langer, Nihat Ay
Learning to Predict Requires Integrated Information. CoRR (2022)
Jesse van Oostrum, Peter van Hintum, Nihat Ay
Inversion of Bayesian Networks. CoRR (2022)
Carlotta Langer, Nihat Ay
How Morphological Computation shapes Integrated Information in Embodied Agents. CoRR (2021)
Jesse van Oostrum, Nihat Ay
Parametrisation Independence of the Natural Gradient in Overparametrised Systems. GSI (2021)
Carlotta Langer, Nihat Ay
Complexity as Causal Information Integration. Entropy 22 (10) (2020)
Nihat Ay
Ingredients for robustness. Theory Biosci. 139 (4) (2020)
Nihat Ay, Milan Studený
Special issue in memory of František Matúš. Kybernetika 56 (6) (2020)
Nihat Ay
Confounding Ghost Channels and Causality: A New Approach to Causal Information Flows. CoRR (2020)
David C. Krakauer, Nils Bertschinger, Eckehard Olbrich, Jessica C. Flack, Nihat Ay
The information theory of individuality. Theory Biosci. 139 (2) (2020)
Nihat Ay, Daniel Polani, Nathaniel Virgo
Information decomposition based on cooperative game theory. Kybernetika 56 (5) (2020)
Csongor Várady, Riccardo Volpi, Luigi Malagò, Nihat Ay
Natural Wake-Sleep Algorithm. CoRR (2020)
Carlotta Langer, Nihat Ay
Complexity as Causal Information Integration. CoRR (2020)
Nihat Ay
On the Locality of the Natural Gradient for Deep Learning. CoRR (2020)
Luca Carlini, Nihat Ay, Christiane Görgen
A Numerical Efficiency Analysis of a Common Ancestor Condition. MACIS (2019)
Nihat Ay, Daniel Polani, Nathaniel Virgo
Information Decomposition based on Cooperative Game Theory. CoRR (2019)
Domenico Felice, Nihat Ay
Canonical Divergence for Flat α-Connections: Classical and Quantum. Entropy 21 (9) (2019)
Domenico Felice, Stefano Mancini, Nihat Ay
Canonical Divergence for Measuring Classical and Quantum Complexity. Entropy 21 (4) (2019)
Domenico Felice, Nihat Ay
Divergence Functions in Information Geometry. GSI (2019)
Keyan Ghazi-Zahedi, Carlotta Langer, Nihat Ay
Morphological Computation: Synergy of Body and Brain. Entropy 19 (9) (2017)
Maxinder S. Kanwal, Joshua A. Grochow, Nihat Ay
Comparing Information-Theoretic Measures of Complexity in Boltzmann Machines. Entropy 19 (7) (2017)
Maxinder S. Kanwal, Joshua A. Grochow, Nihat Ay
Comparing Information-Theoretic Measures of Complexity in Boltzmann Machines. CoRR (2017)
Nihat Ay, Wolfgang Löhr
The Umwelt of an Embodied Agent - A Measure-Theoretic Definition. CoRR (2016)
Paolo Perrone, Nihat Ay
Iterative Scaling Algorithm for Channels. CoRR (2016)
Guido Montúfar, Keyan Ghazi-Zahedi, Nihat Ay
Information Theoretically Aided Reinforcement Learning for Embodied Agents. CoRR (2016)
Keyan Ghazi-Zahedi, Daniel F. B. Haeufle, Guido Montúfar, Syn Schmitt, Nihat Ay
Evaluating Morphological Computation in Muscle and DC-Motor Driven Models of Hopping Movements. Frontiers Robotics AI 3 (2016)
Guido Montúfar, Keyan Ghazi-Zahedi, Nihat Ay
Geometry and Determinism of Optimal Stationary Control in Partially Observable Markov Decision Processes. CoRR (2015)
Nihat Ay
Information Geometry on Complexity and Stochastic Interaction. Entropy 17 (4) (2015)
Nihat Ay, Shun-ichi Amari
A Novel Approach to Canonical Divergences within Information Geometry. Entropy 17 (12) (2015)
Keyan Ghazi-Zahedi, Daniel F. B. Haeufle, Guido Montúfar, Syn Schmitt, Nihat Ay
Evaluating Morphological Computation in Muscle and DC-motor Driven Models of Human Hopping. CoRR (2015)
Stephan Weis, Andreas Knauf, Nihat Ay, Ming-Jing Zhao
Maximizing the Divergence from a Hierarchical Model of Quantum States. Open Syst. Inf. Dyn. 22 (1) (2015)
Guido Montúfar, Nihat Ay, Keyan Ghazi-Zahedi
Geometry and expressive power of conditional restricted Boltzmann machines. J. Mach. Learn. Res. 16 (2015)
Shun-ichi Amari, Nihat Ay
Standard Divergence in Manifold of Dual Affine Connections. GSI (2015)
Nihat Ay
Geometric Design Principles for Brains of Embodied Agents. Künstliche Intell. 29 (4) (2015)
Nihat Ay, Wolfgang Löhr
of an embodied agent - a measure-theoretic definition. Theory Biosci. 134 (3-4) (2015)
Paolo Perrone, Nihat Ay
Hierarchical Quantification of Synergy in Channels. Frontiers Robotics AI 2 (2015)
Paolo Perrone, Nihat Ay
Hierarchical Quantification of Synergy in Channels. CoRR (2015)
Lorenz Schwachhöfer, Nihat Ay, Jürgen Jost, Hông Vân Lê
Invariant Geometric Structures on Statistical Models. GSI (2015)
Guido Montúfar, Keyan Ghazi-Zahedi, Nihat Ay
A Theory of Cheap Control in Embodied Systems. PLoS Comput. Biol. 11 (9) (2015)
Bastian Steudel, Nihat Ay
Information-Theoretic Inference of Common Ancestors. Entropy 17 (4) (2015)
Oliver Pfante, Nils Bertschinger, Eckehard Olbrich, Nihat Ay, Jürgen Jost
Comparison between Different Methods of Level Identification. Adv. Complex Syst. 17 (2) (2014)
Guido Montúfar, Nihat Ay, Keyan Zahedi
Expressive Power of Conditional Restricted Boltzmann Machines for Sensorimotor Control. CoRR (2014)
Philipp Moritz, Jörg Reichardt, Nihat Ay
Discriminating between causal structures in Bayesian Networks given partial observations. Kybernetika 50 (2) (2014)
Guido F. Montúfar, Johannes Rauh, Nihat Ay
On the Fisher Metric of Conditional Probability Polytopes. Entropy 16 (6) (2014)
Johannes Rauh, Nihat Ay
Robustness, canalyzing functions and systems design. Theory Biosci. 133 (2) (2014)
Guido Montúfar, Nihat Ay, Keyan Ghazi-Zahedi
A Framework for Cheap Universal Approximation in Embodied Systems. CoRR (2014)
Nils Bertschinger, Johannes Rauh, Eckehard Olbrich, Jürgen Jost, Nihat Ay
Quantifying Unique Information. Entropy 16 (4) (2014)
Keyan Zahedi, Nihat Ay
Quantifying Morphological Computation CoRR (2013)
Guido Montúfar, Johannes Rauh, Nihat Ay
Maximal Information Divergence from Statistical Models Defined by Neural Networks. GSI (2013)
Keyan Zahedi, Georg Martius, Nihat Ay
Linear combination of one-step predictive information with an external reward in an episodic policy gradient setting: a critical analysis. CoRR (2013)
Nils Bertschinger, Johannes Rauh, Eckehard Olbrich, Jürgen Jost, Nihat Ay
Quantifying unique information. CoRR (2013)
Georg Martius, Ralf Der, Nihat Ay
Information driven self-organization of complex robotic behaviors CoRR (2013)
Keyan Zahedi, Nihat Ay
Quantifying Morphological Computation. Entropy 15 (5) (2013)
Gabriele Lohmann, Johannes Stelzer, Jane Neumann, Nihat Ay, Robert Turner
"More Is Different" in Functional Magnetic Resonance Imaging: A Review of Recent Data Analysis Techniques. Brain Connect. 3 (3) (2013)
Wolfgang Löhr, Arleta Szkola, Nihat Ay
Process Dimension of Classical and Non-Commutative Processes. Open Syst. Inf. Dyn. 19 (1) (2012)
Nihat Ay, Ralf Der, Mikhail Prokopenko
Guided self-organization: perception-action loops of embodied systems. Theory Biosci. 131 (3) (2012)
Nihat Ay, Walter Wenzel
On solution sets of information inequalities. Kybernetika 48 (5) (2012)
Johannes Rauh, Nihat Ay
Robustness, Canalyzing Functions and Systems Design CoRR (2012)
Nihat Ay, Holger Bernigau, Ralf Der, Mikhail Prokopenko
Information-driven self-organization: the dynamical system approach to autonomous robot behavior. Theory Biosci. 131 (3) (2012)
Guido Montúfar, Nihat Ay
Refinements of Universal Approximation Results for Deep Belief Networks and Restricted Boltzmann Machines. Neural Comput. 23 (5) (2011)
Guido Montúfar, Johannes Rauh, Nihat Ay
Expressive Power and Approximation Errors of Restricted Boltzmann Machines. NIPS (2011)
Nihat Ay, Markus Müller, Arleta Szkola
Effective Complexity of Stationary Process Realizations. Entropy 13 (6) (2011)
Johannes Rauh, Thomas Kahle, Nihat Ay
Support sets in exponential families and oriented matroid theory. Int. J. Approx. Reason. 52 (5) (2011)
Keyan Zahedi, Nihat Ay, Ralf Der
Higher Coordination With Less Control - A Result of Information Maximization in the Sensorimotor Loop. Adapt. Behav. 18 (3-4) (2010)
Nihat Ay, Markus Müller, Arleta Szkola
Effective complexity and its relation to logical depth. IEEE Trans. Inf. Theory 56 (9) (2010)
Bastian Steudel, Nihat Ay
Information-theoretic inference of common ancestors CoRR (2010)
Nihat Ay, Markus Müller, Arleta Szkola
Effective complexity of stationary process realizations CoRR (2010)
Nihat Ay
A refinement of the common cause principle. Discret. Appl. Math. 157 (10) (2009)
Thomas Kahle, Walter Wenzel, Nihat Ay
Hierarchical Models, Marginal Polytopes, and Linear Codes. Kybernetika 45 (2) (2009)
Wolfgang Löhr, Nihat Ay
Non-sufficient Memories That Are Sufficient for Prediction. Complex (1) (2009)
Keyan Zahedi, Nihat Ay, Ralf Der
Higher coordination with less control - A result of information maximisation in the sensori-motor loop CoRR (2009)
Wolfgang Löhr, Nihat Ay
On the Generative Nature of Prediction. Adv. Complex Syst. 12 (2) (2009)
Nihat Ay, Daniel Polani
Information Flows in Causal Networks. Adv. Complex Syst. 11 (1) (2008)
Ralf Der, Frank Güttler, Nihat Ay
Predictive information and emergent cooperativity in a chain of mobile robots. ALIFE (2008)
Nils Bertschinger, Eckehard Olbrich, Nihat Ay, Jürgen Jost
Autonomy: An information theoretic perspective. Biosyst. 91 (2) (2008)
Nihat Ay, Markus Müller, Arleta Szkola
Effective Complexity and its Relation to Logical Depth CoRR (2008)
Thomas Wennekers, Nihat Ay, Péter András
High-resolution multiple-unit EEG in cat auditory cortex reveals large spatio-temporal stochastic interactions. Biosyst. 89 (1-3) (2007)
Nihat Ay, David C. Krakauer
Geometric robustness theory and biological networks. Theory Biosci. 125 (2) (2007)
Thomas Wennekers, Nihat Ay
A temporal learning rule in recurrent systems supports high spatio-temporal stochastic interactions. Neurocomputing 69 (10-12) (2006)
Nihat Ay, Andreas Knauf
Maximizing multi-information. Kybernetika 42 (5) (2006)
Thomas Wennekers, Nihat Ay
Finite State Automata Resulting from Temporal Information Maximization and a Temporal Learning Rule. Neural Comput. 17 (10) (2005)
Thomas Wennekers, Nihat Ay
Stochastic interaction in associative nets. Neurocomputing (2005)
Nihat Ay, Thomas Wennekers
Dynamical properties of strongly interacting Markov chains. Neural Networks 16 (10) (2003)
Thomas Wennekers, Nihat Ay
Spatial and temporal stochastic interaction in neuronal assemblies. Theory Biosci. 122 (1) (2003)
Nihat Ay, Thomas Wennekers
Temporal infomax leads to almost deterministic dynamical systems. Neurocomputing (2003)
Thomas Wennekers, Nihat Ay
Temporal Infomax on Markov chains with input leads to finite state automata. Neurocomputing (2003)
Nihat Ay, Wilderich Tuschmann
Dually Flat Manifolds and Global Information Geometry. Open Syst. Inf. Dyn. 9 (2) (2002)
Nihat Ay
Locality of Global Stochastic Interaction in Directed Acyclic Networks. Neural Comput. 14 (12) (2002)
Walter Wenzel, Nihat Ay, Frank Pasemann
-Cubes. Adv. Appl. Math. 25 (3) (2000)