Nihat Ay

According to our database, Nihat Ay authored at least 81 papers between 2000 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of three.

2024

Inversion of Bayesian networks.

Jesse van Oostrum, Peter van Hintum, Nihat Ay

Int. J. Approx. Reason., January, 2024

2023

On the Fisher-Rao Gradient of the Evidence Lower Bound.

Nihat Ay, Jesse van Oostrum

CoRR, 2023

2022

Natural Reweighted Wake-Sleep.

Csongor Várady, Riccardo Volpi, Luigi Malagò, Nihat Ay

Neural Networks, 2022

Learning to Predict Requires Integrated Information.

Carlotta Langer, Nihat Ay

CoRR, 2022

Invariance Properties of the Natural Gradient in Overparametrised Systems.

Jesse van Oostrum, Johannes Müller, Nihat Ay

CoRR, 2022

2021

How Morphological Computation shapes Integrated Information in Embodied Agents.

Carlotta Langer, Nihat Ay

CoRR, 2021

Parametrisation Independence of the Natural Gradient in Overparametrised Systems.

Jesse van Oostrum, Nihat Ay

Proceedings of the Geometric Science of Information - 5th International Conference, 2021

2020

The information theory of individuality.

David C. Krakauer, Nils Bertschinger, Eckehard Olbrich, Jessica C. Flack, Nihat Ay

Theory Biosci., 2020

Ingredients for robustness.

Nihat Ay

Theory Biosci., 2020

Special issue in memory of František Matúš.

Nihat Ay, Milan Studený

Kybernetika, 2020

Information decomposition based on cooperative game theory.

Nihat Ay, Daniel Polani, Nathaniel Virgo

Kybernetika, 2020

Complexity as Causal Information Integration.

Carlotta Langer, Nihat Ay

Entropy, 2020

Natural Wake-Sleep Algorithm.

Csongor Várady, Riccardo Volpi, Luigi Malagò, Nihat Ay

CoRR, 2020

Confounding Ghost Channels and Causality: A New Approach to Causal Information Flows.

Nihat Ay

CoRR, 2020

On the Locality of the Natural Gradient for Deep Learning.

Nihat Ay

CoRR, 2020

2019

Canonical Divergence for Measuring Classical and Quantum Complexity.

Domenico Felice, Stefano Mancini, Nihat Ay

Entropy, 2019

Canonical Divergence for Flat α-Connections: Classical and Quantum.

Domenico Felice, Nihat Ay

Entropy, 2019

A Numerical Efficiency Analysis of a Common Ancestor Condition.

Luca Carlini, Nihat Ay, Christiane Görgen

Proceedings of the Mathematical Aspects of Computer and Information Sciences, 2019

Divergence Functions in Information Geometry.

Domenico Felice, Nihat Ay

Proceedings of the Geometric Science of Information - 4th International Conference, 2019

2017

Comparing Information-Theoretic Measures of Complexity in Boltzmann Machines.

Maxinder S. Kanwal, Joshua A. Grochow, Nihat Ay

Entropy, 2017

Morphological Computation: Synergy of Body and Brain.

Keyan Ghazi-Zahedi, Carlotta Langer, Nihat Ay

Entropy, 2017

2016

Evaluating Morphological Computation in Muscle and DC-Motor Driven Models of Hopping Movements.

Keyan Ghazi-Zahedi, Daniel F. B. Haeufle, Guido Montúfar, Syn Schmitt, Nihat Ay

Frontiers Robotics AI, 2016

Iterative Scaling Algorithm for Channels.

Paolo Perrone, Nihat Ay

CoRR, 2016

Information Theoretically Aided Reinforcement Learning for Embodied Agents.

Guido Montúfar, Keyan Ghazi-Zahedi, Nihat Ay

CoRR, 2016

The Umwelt of an Embodied Agent - A Measure-Theoretic Definition.

Nihat Ay, Wolfgang Löhr

CoRR, 2016

2015

The <i>Umwelt</i> of an embodied agent - a measure-theoretic definition.

Nihat Ay, Wolfgang Löhr

Theory Biosci., 2015

A Theory of Cheap Control in Embodied Systems.

Guido Montúfar, Keyan Ghazi-Zahedi, Nihat Ay

PLoS Comput. Biol., 2015

Maximizing the Divergence from a Hierarchical Model of Quantum States.

Stephan Weis, Andreas Knauf, Nihat Ay, Ming-Jing Zhao

Open Syst. Inf. Dyn., 2015

Geometric Design Principles for Brains of Embodied Agents.

Nihat Ay

Künstliche Intell., 2015

Geometry and expressive power of conditional restricted Boltzmann machines.

Guido Montúfar, Nihat Ay, Keyan Ghazi-Zahedi

J. Mach. Learn. Res., 2015

Hierarchical Quantification of Synergy in Channels.

Paolo Perrone, Nihat Ay

Frontiers Robotics AI, 2015

Information-Theoretic Inference of Common Ancestors.

Bastian Steudel, Nihat Ay

Entropy, 2015

A Novel Approach to Canonical Divergences within Information Geometry.

Nihat Ay, Shun-ichi Amari

Entropy, 2015

Information Geometry on Complexity and Stochastic Interaction.

Nihat Ay

Entropy, 2015

Geometry and Determinism of Optimal Stationary Control in Partially Observable Markov Decision Processes.

Guido Montúfar, Keyan Ghazi-Zahedi, Nihat Ay

CoRR, 2015

Evaluating Morphological Computation in Muscle and DC-motor Driven Models of Human Hopping.

Keyan Ghazi-Zahedi, Daniel F. B. Haeufle, Guido Montúfar, Syn Schmitt, Nihat Ay

CoRR, 2015

Invariant Geometric Structures on Statistical Models.

Lorenz Schwachhöfer, Nihat Ay, Jürgen Jost, Hông Vân Lê

Proceedings of the Geometric Science of Information - Second International Conference, 2015

Standard Divergence in Manifold of Dual Affine Connections.

Shun-ichi Amari, Nihat Ay

Proceedings of the Geometric Science of Information - Second International Conference, 2015

2014

Robustness, canalyzing functions and systems design.

Johannes Rauh, Nihat Ay

Theory Biosci., 2014

Discriminating between causal structures in Bayesian Networks given partial observations.

Philipp Moritz, Jörg Reichardt, Nihat Ay

Kybernetika, 2014

On the Fisher Metric of Conditional Probability Polytopes.

Guido Montúfar, Johannes Rauh, Nihat Ay

Entropy, 2014

Quantifying Unique Information.

Nils Bertschinger, Johannes Rauh, Eckehard Olbrich, Jürgen Jost, Nihat Ay

Entropy, 2014

Expressive Power of Conditional Restricted Boltzmann Machines for Sensorimotor Control.

Guido Montúfar, Nihat Ay, Keyan Zahedi

CoRR, 2014

A Framework for Cheap Universal Approximation in Embodied Systems.

Guido Montúfar, Nihat Ay, Keyan Ghazi-Zahedi

CoRR, 2014

Comparison between Different Methods of Level Identification.

Oliver Pfante, Nils Bertschinger, Eckehard Olbrich, Nihat Ay, Jürgen Jost

Adv. Complex Syst., 2014

2013

Quantifying Morphological Computation.

Keyan Zahedi, Nihat Ay

Entropy, 2013

Information driven self-organization of complex robotic behaviors

Georg Martius, Ralf Der, Nihat Ay

CoRR, 2013

Linear combination of one-step predictive information with an external reward in an episodic policy gradient setting: a critical analysis.

Keyan Zahedi, Georg Martius, Nihat Ay

CoRR, 2013

"More Is Different" in Functional Magnetic Resonance Imaging: A Review of Recent Data Analysis Techniques.

Gabriele Lohmann, Johannes Stelzer, Jane Neumann, Nihat Ay, Robert Turner

Brain Connect., 2013

Maximal Information Divergence from Statistical Models Defined by Neural Networks.

Guido Montúfar, Johannes Rauh, Nihat Ay

Proceedings of the Geometric Science of Information - First International Conference, 2013

2012

Guided self-organization: perception-action loops of embodied systems.

Nihat Ay, Ralf Der, Mikhail Prokopenko

Theory Biosci., 2012

Information-driven self-organization: the dynamical system approach to autonomous robot behavior.

Nihat Ay, Holger Bernigau, Ralf Der, Mikhail Prokopenko

Theory Biosci., 2012

Process Dimension of Classical and Non-Commutative Processes.

Wolfgang Löhr, Arleta Szkola, Nihat Ay

Open Syst. Inf. Dyn., 2012

On solution sets of information inequalities.

Nihat Ay, Walter Wenzel

Kybernetika, 2012

2011

Refinements of Universal Approximation Results for Deep Belief Networks and Restricted Boltzmann Machines.

Guido Montúfar, Nihat Ay

Neural Comput., 2011

Support sets in exponential families and oriented matroid theory.

Johannes Rauh, Thomas Kahle, Nihat Ay

Int. J. Approx. Reason., 2011

Effective Complexity of Stationary Process Realizations.

Nihat Ay, Markus Müller, Arleta Szkola

Entropy, 2011

Expressive Power and Approximation Errors of Restricted Boltzmann Machines.

Guido Montúfar, Johannes Rauh, Nihat Ay

Proceedings of the Advances in Neural Information Processing Systems 24: 25th Annual Conference on Neural Information Processing Systems 2011. Proceedings of a meeting held 12-14 December 2011, 2011

2010

Effective complexity and its relation to logical depth.

Nihat Ay, Markus Müller, Arleta Szkola

IEEE Trans. Inf. Theory, 2010

Higher Coordination With Less Control - A Result of Information Maximization in the Sensorimotor Loop.

Keyan Zahedi, Nihat Ay, Ralf Der

Adapt. Behav., 2010

2009

Hierarchical Models, Marginal Polytopes, and Linear Codes.

Thomas Kahle, Walter Wenzel, Nihat Ay

Kybernetika, 2009

A refinement of the common cause principle.

Nihat Ay

Discret. Appl. Math., 2009

Higher coordination with less control - A result of information maximisation in the sensori-motor loop

Keyan Zahedi, Nihat Ay, Ralf Der

CoRR, 2009

On the Generative Nature of Prediction.

Wolfgang Löhr, Nihat Ay

Adv. Complex Syst., 2009

Non-sufficient Memories That Are Sufficient for Prediction.

Wolfgang Löhr, Nihat Ay

Proceedings of the Complex Sciences, 2009

2008

Autonomy: An information theoretic perspective.

Nils Bertschinger, Eckehard Olbrich, Nihat Ay, Jürgen Jost

Biosyst., 2008

Information Flows in Causal Networks.

Nihat Ay, Daniel Polani

Adv. Complex Syst., 2008

Predictive information and emergent cooperativity in a chain of mobile robots.

Ralf Der, Frank Güttler, Nihat Ay

Proceedings of the Eleventh International Conference on the Synthesis and Simulation of Living Systems, 2008

2007

Geometric robustness theory and biological networks.

Nihat Ay, David C. Krakauer

Theory Biosci., 2007

High-resolution multiple-unit EEG in cat auditory cortex reveals large spatio-temporal stochastic interactions.

Thomas Wennekers, Nihat Ay, Péter András

Biosyst., 2007

2006

Maximizing multi-information.

Nihat Ay, Andreas Knauf

Kybernetika, 2006

A temporal learning rule in recurrent systems supports high spatio-temporal stochastic interactions.

Thomas Wennekers, Nihat Ay

Neurocomputing, 2006

2005

Finite State Automata Resulting from Temporal Information Maximization and a Temporal Learning Rule.

Thomas Wennekers, Nihat Ay

Neural Comput., 2005

Stochastic interaction in associative nets.

Thomas Wennekers, Nihat Ay

Neurocomputing, 2005

2003

Spatial and temporal stochastic interaction in neuronal assemblies.

Thomas Wennekers, Nihat Ay

Theory Biosci., 2003

Dynamical properties of strongly interacting Markov chains.

Nihat Ay, Thomas Wennekers

Neural Networks, 2003

Temporal Infomax on Markov chains with input leads to finite state automata.

Thomas Wennekers, Nihat Ay

Neurocomputing, 2003

Temporal infomax leads to almost deterministic dynamical systems.

Nihat Ay, Thomas Wennekers

Neurocomputing, 2003

2002

Dually Flat Manifolds and Global Information Geometry.

Nihat Ay, Wilderich Tuschmann

Open Syst. Inf. Dyn., 2002

Locality of Global Stochastic Interaction in Directed Acyclic Networks.

Nihat Ay

Neural Comput., 2002

2000

Hyperplane Arrangements Separating Arbitrary Vertex Classes in <i>n</i>-Cubes.

Walter Wenzel, Nihat Ay, Frank Pasemann

Adv. Appl. Math., 2000