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Nihat Ay
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Journal Articles
- 2024
- [j55]Jesse van Oostrum, Peter van Hintum, Nihat Ay:
Inversion of Bayesian networks. Int. J. Approx. Reason. 164: 109042 (2024) - 2022
- [j54]Csongor Várady, Riccardo Volpi, Luigi Malagò, Nihat Ay:
Natural Reweighted Wake-Sleep. Neural Networks 155: 574-591 (2022) - 2020
- [j53]Carlotta Langer, Nihat Ay:
Complexity as Causal Information Integration. Entropy 22(10): 1107 (2020) - [j52]Nihat Ay, Daniel Polani, Nathaniel Virgo:
Information decomposition based on cooperative game theory. Kybernetika 56(5): 979-1014 (2020) - [j51]Nihat Ay, Milan Studený:
Special issue in memory of František Matúš. Kybernetika 56(6): 1015-1021 (2020) - [j50]David C. Krakauer, Nils Bertschinger, Eckehard Olbrich, Jessica C. Flack, Nihat Ay:
The information theory of individuality. Theory Biosci. 139(2): 209-223 (2020) - [j49]Nihat Ay:
Ingredients for robustness. Theory Biosci. 139(4): 309-318 (2020) - 2019
- [j48]Domenico Felice, Stefano Mancini, Nihat Ay:
Canonical Divergence for Measuring Classical and Quantum Complexity. Entropy 21(4): 435 (2019) - [j47]Domenico Felice, Nihat Ay:
Canonical Divergence for Flat α-Connections: Classical and Quantum. Entropy 21(9): 831 (2019) - 2017
- [j46]Maxinder S. Kanwal, Joshua A. Grochow, Nihat Ay:
Comparing Information-Theoretic Measures of Complexity in Boltzmann Machines. Entropy 19(7): 310 (2017) - [j45]Keyan Ghazi-Zahedi, Carlotta Langer, Nihat Ay:
Morphological Computation: Synergy of Body and Brain. Entropy 19(9): 456 (2017) - 2016
- [j44]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: 42 (2016) - 2015
- [j43]Bastian Steudel, Nihat Ay:
Information-Theoretic Inference of Common Ancestors. Entropy 17(4): 2304-2327 (2015) - [j42]Nihat Ay:
Information Geometry on Complexity and Stochastic Interaction. Entropy 17(4): 2432-2458 (2015) - [j41]Nihat Ay, Shun-ichi Amari:
A Novel Approach to Canonical Divergences within Information Geometry. Entropy 17(12): 8111-8129 (2015) - [j40]Paolo Perrone, Nihat Ay:
Hierarchical Quantification of Synergy in Channels. Frontiers Robotics AI 2: 35 (2015) - [j39]Guido Montúfar, Nihat Ay, Keyan Ghazi-Zahedi:
Geometry and expressive power of conditional restricted Boltzmann machines. J. Mach. Learn. Res. 16: 2405-2436 (2015) - [j38]Nihat Ay:
Geometric Design Principles for Brains of Embodied Agents. Künstliche Intell. 29(4): 389-399 (2015) - [j37]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): 1550006:1-1550006:22 (2015) - [j36]Guido Montúfar, Keyan Ghazi-Zahedi, Nihat Ay:
A Theory of Cheap Control in Embodied Systems. PLoS Comput. Biol. 11(9) (2015) - [j35]Nihat Ay, Wolfgang Löhr:
The Umwelt of an embodied agent - a measure-theoretic definition. Theory Biosci. 134(3-4): 105-116 (2015) - 2014
- [j34]Oliver Pfante, Nils Bertschinger, Eckehard Olbrich, Nihat Ay, Jürgen Jost:
Comparison between Different Methods of Level Identification. Adv. Complex Syst. 17(2) (2014) - [j33]Nils Bertschinger, Johannes Rauh, Eckehard Olbrich, Jürgen Jost, Nihat Ay:
Quantifying Unique Information. Entropy 16(4): 2161-2183 (2014) - [j32]Guido Montúfar, Johannes Rauh, Nihat Ay:
On the Fisher Metric of Conditional Probability Polytopes. Entropy 16(6): 3207-3233 (2014) - [j31]Philipp Moritz, Jörg Reichardt, Nihat Ay:
Discriminating between causal structures in Bayesian Networks given partial observations. Kybernetika 50(2): 284-295 (2014) - [j30]Johannes Rauh, Nihat Ay:
Robustness, canalyzing functions and systems design. Theory Biosci. 133(2): 63-78 (2014) - 2013
- [j29]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): 223-239 (2013) - [j28]Keyan Zahedi, Nihat Ay:
Quantifying Morphological Computation. Entropy 15(5): 1887-1915 (2013) - 2012
- [j27]Nihat Ay, Walter Wenzel:
On solution sets of information inequalities. Kybernetika 48(5): 845-864 (2012) - [j26]Wolfgang Löhr, Arleta Szkola, Nihat Ay:
Process Dimension of Classical and Non-Commutative Processes. Open Syst. Inf. Dyn. 19(1) (2012) - [j25]Nihat Ay, Ralf Der, Mikhail Prokopenko:
Guided self-organization: perception-action loops of embodied systems. Theory Biosci. 131(3): 125-127 (2012) - [j24]Nihat Ay, Holger Bernigau, Ralf Der, Mikhail Prokopenko:
Information-driven self-organization: the dynamical system approach to autonomous robot behavior. Theory Biosci. 131(3): 161-179 (2012) - 2011
- [j23]Nihat Ay, Markus Müller, Arleta Szkola:
Effective Complexity of Stationary Process Realizations. Entropy 13(6): 1200-1211 (2011) - [j22]Johannes Rauh, Thomas Kahle, Nihat Ay:
Support sets in exponential families and oriented matroid theory. Int. J. Approx. Reason. 52(5): 613-626 (2011) - [j21]Guido Montúfar, Nihat Ay:
Refinements of Universal Approximation Results for Deep Belief Networks and Restricted Boltzmann Machines. Neural Comput. 23(5): 1306-1319 (2011) - 2010
- [j20]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): 338-355 (2010) - [j19]Nihat Ay, Markus Müller, Arleta Szkola:
Effective complexity and its relation to logical depth. IEEE Trans. Inf. Theory 56(9): 4593-4607 (2010) - 2009
- [j18]Wolfgang Löhr, Nihat Ay:
On the Generative Nature of Prediction. Adv. Complex Syst. 12(2): 169-194 (2009) - [j17]Nihat Ay:
A refinement of the common cause principle. Discret. Appl. Math. 157(10): 2439-2457 (2009) - [j16]Thomas Kahle, Walter Wenzel, Nihat Ay:
Hierarchical Models, Marginal Polytopes, and Linear Codes. Kybernetika 45(2): 189-207 (2009) - 2008
- [j15]Nihat Ay, Daniel Polani:
Information Flows in Causal Networks. Adv. Complex Syst. 11(1): 17-41 (2008) - [j14]Nils Bertschinger, Eckehard Olbrich, Nihat Ay, Jürgen Jost:
Autonomy: An information theoretic perspective. Biosyst. 91(2): 331-345 (2008) - 2007
- [j13]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): 190-197 (2007) - [j12]Nihat Ay, David C. Krakauer:
Geometric robustness theory and biological networks. Theory Biosci. 125(2): 93-121 (2007) - 2006
- [j11]Thomas Wennekers, Nihat Ay:
A temporal learning rule in recurrent systems supports high spatio-temporal stochastic interactions. Neurocomputing 69(10-12): 1199-1202 (2006) - [j10]Nihat Ay, Andreas Knauf:
Maximizing multi-information. Kybernetika 42(5): 517-538 (2006) - 2005
- [j9]Thomas Wennekers, Nihat Ay:
Stochastic interaction in associative nets. Neurocomputing 65-66: 387-392 (2005) - [j8]Thomas Wennekers, Nihat Ay:
Finite State Automata Resulting from Temporal Information Maximization and a Temporal Learning Rule. Neural Comput. 17(10): 2258-2290 (2005) - 2003
- [j7]Thomas Wennekers, Nihat Ay:
Temporal Infomax on Markov chains with input leads to finite state automata. Neurocomputing 52-54: 431-436 (2003) - [j6]Nihat Ay, Thomas Wennekers:
Temporal infomax leads to almost deterministic dynamical systems. Neurocomputing 52-54: 461-466 (2003) - [j5]Nihat Ay, Thomas Wennekers:
Dynamical properties of strongly interacting Markov chains. Neural Networks 16(10): 1483-1497 (2003) - [j4]Thomas Wennekers, Nihat Ay:
Spatial and temporal stochastic interaction in neuronal assemblies. Theory Biosci. 122(1): 5-18 (2003) - 2002
- [j3]Nihat Ay:
Locality of Global Stochastic Interaction in Directed Acyclic Networks. Neural Comput. 14(12): 2959-2980 (2002) - [j2]Nihat Ay, Wilderich Tuschmann:
Dually Flat Manifolds and Global Information Geometry. Open Syst. Inf. Dyn. 9(2): 195-200 (2002) - 2000
- [j1]Walter Wenzel, Nihat Ay, Frank Pasemann:
Hyperplane Arrangements Separating Arbitrary Vertex Classes in n-Cubes. Adv. Appl. Math. 25(3): 284-306 (2000)
Conference and Workshop Papers
- 2021
- [c9]Jesse van Oostrum, Nihat Ay:
Parametrisation Independence of the Natural Gradient in Overparametrised Systems. GSI 2021: 726-735 - 2019
- [c8]Domenico Felice, Nihat Ay:
Divergence Functions in Information Geometry. GSI 2019: 433-442 - [c7]Luca Carlini, Nihat Ay, Christiane Görgen:
A Numerical Efficiency Analysis of a Common Ancestor Condition. MACIS 2019: 357-363 - 2015
- [c6]Lorenz Schwachhöfer, Nihat Ay, Jürgen Jost, Hông Vân Lê:
Invariant Geometric Structures on Statistical Models. GSI 2015: 150-158 - [c5]Shun-ichi Amari, Nihat Ay:
Standard Divergence in Manifold of Dual Affine Connections. GSI 2015: 320-325 - 2013
- [c4]Guido Montúfar, Johannes Rauh, Nihat Ay:
Maximal Information Divergence from Statistical Models Defined by Neural Networks. GSI 2013: 759-766 - 2011
- [c3]Guido Montúfar, Johannes Rauh, Nihat Ay:
Expressive Power and Approximation Errors of Restricted Boltzmann Machines. NIPS 2011: 415-423 - 2009
- [c2]Wolfgang Löhr, Nihat Ay:
Non-sufficient Memories That Are Sufficient for Prediction. Complex (1) 2009: 265-276 - 2008
- [c1]Ralf Der, Frank Güttler, Nihat Ay:
Predictive information and emergent cooperativity in a chain of mobile robots. ALIFE 2008: 166-172
Informal and Other Publications
- 2024
- [i29]Jesse van Oostrum, Carlotta Langer, Nihat Ay:
A Concise Mathematical Description of Active Inference in Discrete Time. CoRR abs/2406.07726 (2024) - 2023
- [i28]Nihat Ay, Jesse van Oostrum:
On the Fisher-Rao Gradient of the Evidence Lower Bound. CoRR abs/2307.11249 (2023) - 2022
- [i27]Jesse van Oostrum, Johannes Müller, Nihat Ay:
Invariance Properties of the Natural Gradient in Overparametrised Systems. CoRR abs/2206.15273 (2022) - [i26]Carlotta Langer, Nihat Ay:
Learning to Predict Requires Integrated Information. CoRR abs/2209.01418 (2022) - [i25]Jesse van Oostrum, Peter van Hintum, Nihat Ay:
Inversion of Bayesian Networks. CoRR abs/2212.10649 (2022) - 2021
- [i24]Carlotta Langer, Nihat Ay:
How Morphological Computation shapes Integrated Information in Embodied Agents. CoRR abs/2108.00904 (2021) - 2020
- [i23]Nihat Ay:
On the Locality of the Natural Gradient for Deep Learning. CoRR abs/2005.10791 (2020) - [i22]Nihat Ay:
Confounding Ghost Channels and Causality: A New Approach to Causal Information Flows. CoRR abs/2007.03129 (2020) - [i21]Csongor Várady, Riccardo Volpi, Luigi Malagò, Nihat Ay:
Natural Wake-Sleep Algorithm. CoRR abs/2008.06687 (2020) - [i20]Carlotta Langer, Nihat Ay:
Complexity as Causal Information Integration. CoRR abs/2008.11430 (2020) - 2019
- [i19]Nihat Ay, Daniel Polani, Nathaniel Virgo:
Information Decomposition based on Cooperative Game Theory. CoRR abs/1910.05979 (2019) - 2017
- [i18]Maxinder S. Kanwal, Joshua A. Grochow, Nihat Ay:
Comparing Information-Theoretic Measures of Complexity in Boltzmann Machines. CoRR abs/1706.09667 (2017) - 2016
- [i17]Paolo Perrone, Nihat Ay:
Iterative Scaling Algorithm for Channels. CoRR abs/1603.07181 (2016) - [i16]Nihat Ay, Wolfgang Löhr:
The Umwelt of an Embodied Agent - A Measure-Theoretic Definition. CoRR abs/1603.08389 (2016) - [i15]Guido Montúfar, Keyan Ghazi-Zahedi, Nihat Ay:
Information Theoretically Aided Reinforcement Learning for Embodied Agents. CoRR abs/1605.09735 (2016) - 2015
- [i14]Guido Montúfar, Keyan Ghazi-Zahedi, Nihat Ay:
Geometry and Determinism of Optimal Stationary Control in Partially Observable Markov Decision Processes. CoRR abs/1503.07206 (2015) - [i13]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 abs/1512.00250 (2015) - [i12]Paolo Perrone, Nihat Ay:
Hierarchical Quantification of Synergy in Channels. CoRR abs/1512.03614 (2015) - 2014
- [i11]Guido Montúfar, Nihat Ay, Keyan Zahedi:
Expressive Power of Conditional Restricted Boltzmann Machines for Sensorimotor Control. CoRR abs/1402.3346 (2014) - [i10]Guido Montúfar, Nihat Ay, Keyan Ghazi-Zahedi:
A Framework for Cheap Universal Approximation in Embodied Systems. CoRR abs/1407.6836 (2014) - 2013
- [i9]Keyan Zahedi, Nihat Ay:
Quantifying Morphological Computation. CoRR abs/1301.6975 (2013) - [i8]Georg Martius, Ralf Der, Nihat Ay:
Information driven self-organization of complex robotic behaviors. CoRR abs/1301.7473 (2013) - [i7]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 abs/1309.6989 (2013) - [i6]Nils Bertschinger, Johannes Rauh, Eckehard Olbrich, Jürgen Jost, Nihat Ay:
Quantifying unique information. CoRR abs/1311.2852 (2013) - 2012
- [i5]Johannes Rauh, Nihat Ay:
Robustness, Canalyzing Functions and Systems Design. CoRR abs/1210.7719 (2012) - 2010
- [i4]Nihat Ay, Markus Müller, Arleta Szkola:
Effective complexity of stationary process realizations. CoRR abs/1001.2686 (2010) - [i3]Bastian Steudel, Nihat Ay:
Information-theoretic inference of common ancestors. CoRR abs/1010.5720 (2010) - 2009
- [i2]Keyan Zahedi, Nihat Ay, Ralf Der:
Higher coordination with less control - A result of information maximisation in the sensori-motor loop. CoRR abs/0910.2039 (2009) - 2008
- [i1]Nihat Ay, Markus Müller, Arleta Szkola:
Effective Complexity and its Relation to Logical Depth. CoRR abs/0810.5663 (2008)
Coauthor Index
aka: Keyan Ghazi-Zahedi
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