Publications

2017

Campbell-Borges, Y. C. : Large deviation results for likelihood ratios and hypothesis testing on quantum spin chains. Dissertation, Universität Leipzig, 2017Bibtex

Czabarka, E. ; Rauh, J. ; Sadeghi, K. ; Short, T. and L. Székely: On the number of non-zero elements of joint degree vectors. The electronic journal of combinatorics, 24 (2017) 1, P1.55Bibtex[ARXIV] [FREELINK]

Ghazi-Zahedi, K. : NMODE - Neuro-MODule evolution. Bibtex[ARXIV]

Ghazi-Zahedi, K. ; Langer, C. and N. Ay: Morphological computation : synergy of body and brain. Entropy, 19 (2017) 9, 456Bibtex [DOI]

Jeronymo, D. C. ; Campbell-Borges, Y. C. and L. d. Coelho: Image forgery detection by semi-automatic wavelet soft-thresholding with error level analysis. Expert systems with applications, 85 (2017), p. 348-356Bibtex [DOI]

Kanwal, M. S. ; Grochow, J. A. and N. Ay: Comparing information-theoretic measures of complexity in Boltzmann machines. Entropy, 19 (2017) 7, 310Bibtex [DOI] [ARXIV]

Montúfar, G. and J. Morton: Dimension of marginals of Kronecker product models. SIAM journal on applied algebra and geometry, 1 (2017) 1, p. 126-151Bibtex MIS-Preprint: 75/2015 [DOI] [ARXIV]

Montúfar, G. and J. Rauh: Geometry of policy improvement. Bibtex[ARXIV]

Montúfar, G. and J. Rauh: Hierarchical models as marginals of hierarchical models. International journal of approximate reasoning, 88 (2017), p. 531-546Bibtex MIS-Preprint: 27/2016 [DOI] [ARXIV]

Rauh, J. : The polytope of \(k\)-star densities. The electronic journal of combinatorics, 24 (2017) 1, P1.4Bibtex[FREELINK]

Seigal, A. and G. Montúfar: Mixtures and products in two graphical models. Bibtex[ARXIV]

Sokoloski, S. : Implementing a Bayes filter in a neural circuit : the case of unknown stimulus dynamics. Neural computation, 29 (2017) 9, p. 2450-2490Bibtex MIS-Preprint: 30/2017 [DOI] [ARXIV]

2016

Der, R. and G. Martius: The world as its own best controller : a case study with anthropomimetic robots. Bibtex[ARXIV]

Ghazi-Zahedi, K. ; Haeufle, D. F. B. ; Montúfar, G. ; Schmitt, S. and N. Ay: Evaluating morphological computation in muscle and DC-motor driven models of hopping movements. Frontiers in robotics and AI, 3 (2016), 42Bibtex [DOI] [ARXIV]

Martius, G. ; Hostettler, R. ; Knoll, A. and R. Der: Compliant control for soft robots : emergent behavior of a tendon driven anthropomorphic arm. 2016 IEEE/RSJ international conference on intelligent robots and systems (IROS) : October 9-14 2016 ; Daejeon, Korea IEEE, 2016. - P. 767-773Bibtex [DOI]

Montúfar, G. ; Ghazi-Zahedi, K. and N. Ay: Information theoretically aided reinforcement learning for embodied agents. Bibtex[ARXIV]

Montúfar, G. and J. Rauh: Mode poset probability polytopes. Journal of algebraic statistics, 7 (2016) 1, p. 1-13Bibtex MIS-Preprint: 22/2015 [DOI] [ARXIV]

Perrone, P. and N. Ay: Hierarchical quantification of synergy in channels. Frontiers in robotics and AI, 2 (2016), 35Bibtex MIS-Preprint: 86/2015 [DOI] [ARXIV]

Perrone, P. and N. Ay: Iterative scaling algorithm for channels. Bibtex[ARXIV]

Rauh, J. and S. Sullivant: Lifting Markov bases and higher codimension toric fiber products. Journal of symbolic computation, 74 (2016), p. 276-307Bibtex [DOI] [ARXIV]

Rodman, L. ; Spitkovsky, I. M. ; Szkoła, A. and S. Weis: Continuity of the maximum-entropy inference : convex geometry and numerical ranges approach. Journal of mathematical physics, 57 (2016), 1Bibtex MIS-Preprint: 18/2015 [DOI] [ARXIV]

Sokoloski, S. : Nonlinear filtering with population codes. Bibtex[ARXIV]

2015

Amari, S. and N. Ay: Standard divergence in manifold of dual affine connections. Geometric science of information : Second International Conference, GSI 2015, Palaiseau, France, October 28-30, 2015, Proceedings / F. Nielsen... (eds.). Springer, 2015. - P. 320-325 (Lecture notes in computer science ; 9389) Bibtex [DOI]

Ay, N. : Information geometry on complexity and stochastic interaction. Entropy, 17 (2015) 4, p. 2432-2458Bibtex MIS-Preprint: 95/2001 [DOI]

Ay, N. : Geometric design principles for brains of embodied agents. Künstliche Intelligenz : KI, 29 (2015) 4, p. 389-399Bibtex [DOI] [FREELINK]

Ay, N. and S. Amari: A novel approach to canonical divergences within information geometry. Entropy, 17 (2015) 12, p. 8111-8129Bibtex MIS-Preprint: 73/2015 [DOI]

Ay, N. ; Jost, J. ; , H. V. and L. J. Schwachhöfer: Information geometry and sufficient statistics. Probability theory and related fields, 162 (2015) 1-2, p. 327-364Bibtex MIS-Preprint: 65/2012 [DOI] [ARXIV]

Ay, N. ; Jost, J. ; , H. V. and L. J. Schwachhöfer: Parametrized measure models. Bibtex MIS-Preprint: 69/2015 [ARXIV]

Ay, N. and W. Löhr: The Umwelt of an embodied agent : a measure-theoretic definition. Theory in biosciences, 134 (2015) 3, p. 105-116Bibtex MIS-Preprint: 74/2015 [DOI] [ARXIV]

Bernigau, H. : Causal models over infinite graphs and their application to the sensorimotor loop : general stochastic aspects and gradient methods for optimal control. Dissertation, Universität Leipzig, 2015Bibtex[FREELINK]

Bernigau, H. ; Kastoryano, M. J. and J. Eisert: Mutual information area laws for thermal free fermions. Journal of statistical mechanics, 2015 (2015), P02008Bibtex [DOI] [ARXIV]

Der, R. : In search for the neural mechanisms of individual development : behavior-driven differential Hebbian learning. Frontiers in robotics and AI, 2 (2015), 37Bibtex [DOI]

Der, R. and G. Martius: Novel plasticity rule can explain the development of sensorimotor intelligence. Proceedings of the National Academy of Sciences of the United States of America, 112 (2015) 45, p. E6224-E6232Bibtex [DOI] [ARXIV]

Ghazi-Zahedi, K. and J. Rauh: Quantifying morphological computation based on an information decomposition of the sensorimotor loop. Bibtex MIS-Preprint: 21/2015 [ARXIV] [FREELINK]

Krakauer, D. C. ; Bertschinger, N. ; Olbrich, E. ; Ay, N. and J. C. Flack: The information theory of individuality. The philosophy of individuality / L. Nyhart... (eds.). University of Chicago Press, 2015Bibtex[ARXIV]

Martius, G. and E. Olbrich: Quantifying emergent behavior of autonomous robots. Entropy, 17 (2015) 10, p. 7266-7297Bibtex [DOI] [ARXIV]

Montúfar, G. : Deep narrow Boltzmann machines are universal approximators. International conference on learning representations - ICLR 2015 : 7-9 May 2015, San Diego, CA. USA ICLR, 2015Bibtex MIS-Preprint: 113/2014 [ARXIV]

Montúfar, G. : Universal approximation of Markov kernels by shallow stochastic feedforward networks. Bibtex MIS-Preprint: 23/2015 [ARXIV]

Montúfar, G. : A comparison of neural network architectures. Deep learning Workshop, ICML '15, Vauban Hall at Lille Grande Palais, France, July 10 and 11, 2015Bibtex

Montúfar, G. ; Ay, N. and K. Ghazi-Zahedi: Geometry and expressive power of conditional restricted Boltzmann machines. Journal of machine learning research, 16 (2015), p. 2405-2436Bibtex MIS-Preprint: 16/2014 [ARXIV] [FREELINK]

Montúfar, G. ; Ghazi-Zahedi, K. and N. Ay: A theory of cheap control in embodied systems. PLoS computational biology, 11 (2015) 9, e1004427Bibtex MIS-Preprint: 70/2014 [DOI] [ARXIV]

Montúfar, G. ; Ghazi-Zahedi, K. and N. Ay: Geometry and determinism of optimal stationary control in partially observable markov decision processes. Bibtex MIS-Preprint: 22/2016 [ARXIV]

Montúfar, G. and J. Morton: Discrete restricted Boltzmann machines. Journal of machine learning research, 16 (2015), p. 653-672Bibtex MIS-Preprint: 106/2014 [ARXIV] [FREELINK]

Montúfar, G. and J. Morton: When does a mixture of products contain a product of mixtures?. SIAM journal on discrete mathematics, 29 (2015) 1, p. 321-347Bibtex MIS-Preprint: 98/2014 [DOI] [ARXIV]

Montúfar, G. and J. Rauh: Mode poset probability polytopes. Bibtex MIS-Preprint: 22/2015 [ARXIV]

Montúfar, G. and J. Rauh: Hierarchical models as marginals of hierarchical models. Proceedings of the 10th Workshop on Uncertainty Processing WUPES '15, Moninec, Czech Republic, September 16-19th, 2015 / V. Kratochvíl (ed.). Oeconomica, 2015. - P. 131-145Bibtex MIS-Preprint: 27/2016 [ARXIV] [FREELINK]

Olbrich, E. ; Bertschinger, N. and J. Rauh: Information decomposition and synergy. Entropy, 17 (2015) 5, p. 3501-3517Bibtex [DOI]

Pfante, O. and N. Ay: Operator-theoretic identification of closed sub-systems of dynamical systems. An interdisciplinary journal of discontinuity, nonlinearity, and complexity, 4 (2015) 1, p. 91-109Bibtex MIS-Preprint: 4/2015 [DOI]

Salge, C. ; Ay, N. ; Polani, D. and M. Prokopenko: Zipf's law : balancing signal usage cost and communication efficiency. PLoS one, 10 (2015) 10, e0139475Bibtex [DOI] [FREELINK]

Schwachhöfer, L. J. ; Ay, N. ; Jost, J. and H. V. : Invariant geometric structures on statistical models. Geometric science of information : Second International Conference, GSI 2015, Palaiseau, France, October 28-30, 2015, Proceedings / F. Nielsen... (eds.). Springer, 2015. - P. 150-158 (Lecture notes in computer science ; 9389) Bibtex [DOI]

Steudel, B. and N. Ay: Information-theoretic inference of common ancestors. Entropy, 17 (2015) 4, p. 2304-2327Bibtex [DOI] [ARXIV] [FREELINK]

Weis, S. : The MaxEnt extension of a quantum Gibbs family, convex geometry and geodesics. Bayesian inference and maximum entropy methods in science and engineering : (MaxEnt 2014) : Clos Lucé, Amboise, France, 21-26 September 2014 / A. Mohammad-Djafari (ed.). AIP Publising, 2015. - P. 173-180 (AIP conference proceedings ; 1641) Bibtex [DOI] [ARXIV]

Weis, S. ; Knauf, A. ; Ay, N. and M. Zhao: Maximizing the divergence from a hierarchical model of quantum states. Open systems and information dynamics, 22 (2015) 1, 1550006Bibtex MIS-Preprint: 58/2014 [DOI] [ARXIV]

2014

Ay, N. and K. Ghazi-Zahedi: On the causal structure of the sensorimotor loop. Guided self-organization : inception / M. Prokopenko (ed.). Springer, 2014. - P. 261-294 (Emergence, complexity, and computation) Bibtex [DOI]

Bertschinger, N. and J. Rauh: The Blackwell relation defines no lattice. IEEE international symposium on information theory proceedings (ISIT) 2014 : June 29-July 4, 2014 in Honolulu, USA IEEE, 2014. - P. 2479-2483Bibtex [DOI] [ARXIV]

Bertschinger, N. ; Rauh, J. ; Olbrich, E. ; Jost, J. and N. Ay: Quantifying unique information. Entropy, 16 (2014) 4, p. 2161-2183Bibtex MIS-Preprint: 102/2013 [DOI] [ARXIV]

Der, R. : On the role of embodiment for self-organizing robots : behavior as broken symmetry. Guided self-organization : inception / M. Prokopenko (ed.). Springer, 2014. - P. 193-221 (Emergence, complexity, and computation) Bibtex [DOI]

Kahle, T. and J. Rauh: Toric fiber products versus Segre products. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 84 (2014) 2, p. 187-201Bibtex [DOI] [ARXIV]

Kahle, T. ; Rauh, J. and S. Sullivant: Positive margins and primary decomposition. Journal of commutative algebra, 6 (2014) 2, p. 173-208Bibtex [DOI] [ARXIV]

Krakauer, D. C. ; Bertschinger, N. ; Olbrich, E. ; Ay, N. and J. C. Flack: The information theory of individuality. The philosophy of individuality / L. Nyhart... (eds.). University of Chicago Press, 2015Bibtex[ARXIV]

Krüger, T. ; Montúfar, G. ; Seiler, R. and R. Siegmund-Schultze: Sequential recurrence-based multidimensional universal source coding of Lempel-Ziv type. Bibtex MIS-Preprint: 86/2014 [ARXIV]

Martius, G. ; Der, R. and J. M. Herrmann: Robot learning by guided self-organization. Guided self-organization : inception / M. Prokopenko (ed.). Springer, 2014. - P. 223-260 (Emergence, complexity, and computation) Bibtex [DOI]

Martius, G. ; Jahn, L. ; Hauser, H. and V. V. Hafner: Self-exploration of the Stumpy robot with predictive information maximization. From Animals to Animats 13 : 13th International Conference on Simulation of Adaptive Behavior, SAB 2014, Castellón, Spain, July 22-25, 2014 ; proceedings / A. P. Del Pobil... (eds.). Springer, 2014. - P. 32-42 (Lecture notes in computer science ; 8575) Bibtex [DOI] [FREELINK]

Montúfar, G. : Universal approximation depth and errors of narrow belief networks with discrete units. Neural computation, 26 (2014) 7, p. 1386-1407Bibtex MIS-Preprint: 74/2014 [DOI] [ARXIV]

Montúfar, G. and J. Morton: Geometry of hidden-visible products of statistical models. Algebraic Statistics 2014 : May 19-22 Illinois Institute of Technology, 2014Bibtex[FREELINK]

Montúfar, G. ; Pascanu, R. ; Cho, K. and Y. Bengio: On the number of linear regions of deep neural networks. Annual Conference on Neural Information Processing Systems : NIPS 2014, Montreal, Quebec, Canada, December 8th - 13th Neural Information Processing Systems, 2014Bibtex MIS-Preprint: 73/2014 [ARXIV]

Montúfar, G. and J. Rauh: Scaling of model approximation errors and expected entropy distances. Kybernetika, 50 (2014) 2, p. 234-245Bibtex [DOI] [ARXIV]

Montúfar, G. ; Rauh, J. and N. Ay: On the Fisher metric of conditional probability polytopes. Entropy, 16 (2014) 6, p. 3207-3233Bibtex MIS-Preprint: 87/2014 [DOI] [ARXIV]

Moritz, P. ; Reichardt, J. and N. Ay: Discriminating between causal structures in Bayesian Networks given partial observations. Kybernetika, 50 (2014) 2, p. 284-295Bibtex [DOI]

Pascanu, R. ; Montúfar, G. and Y. Bengio: On the number of response regions of deep feedforward networks with piecewise linear activations. International conference on learning representations - ICLR 2014 : 14-16 April 2014, Banff, Canada ICLR, 2014Bibtex MIS-Preprint: 72/2014 [ARXIV]

Pfante, O. ; Bertschinger, N. ; Olbrich, E. ; Ay, N. and J. Jost: Comparison between different methods of level identification. Advances in complex systems, 17 (2014) 2, 1450007Bibtex [DOI] [FREELINK]

Pfante, O. ; Olbrich, E. ; Bertschinger, N. ; Ay, N. and J. Jost: Closure measures for coarse-graining of the tent map. Chaos, 24 (2014), 013136Bibtex MIS-Preprint: 108/2013 [DOI]

Prokopenko, M. ; Polani, D. and N. Ay: On the cross-disciplinary nature of guided self-organisation. Guided self-organization : inception / M. Prokopenko (ed.). Springer, 2014. - P. 3-15 (Emergence, complexity, and computation) Bibtex [DOI]

Rauh, J. and N. Ay: Robustness, canalyzing functions and systems design. Theory in biosciences, 133 (2014) 2, p. 63-78Bibtex MIS-Preprint: 66/2012 [DOI] [ARXIV]

Rauh, J. ; Bertschinger, N. ; Olbrich, E. and J. Jost: Reconsidering unique information : towards a multivariate information decomposition. IEEE international symposium on information theory proceedings (ISIT) 2014 : June 29-July 4, 2014 in Honolulu, USA IEEE, 2014. - P. 2232-2236Bibtex [DOI] [ARXIV]

Weis, S. : Information topologies on non-commutative state spaces. Journal of convex analysis, 21 (2014) 2, p. 339-399Bibtex MIS-Preprint: 75/2011 [ARXIV] [FREELINK]

Weis, S. : Continuity of the maximum-entropy inference. Communications in mathematical physics, 330 (2014) 3, p. 1263-1292Bibtex MIS-Preprint: 6/2012 [DOI] [ARXIV]

Weis, S. : Erratum to: Continuity of the maximum-entropy inference. Communications in mathematical physics, 331 (2014) 3, p. 1301-1301Bibtex MIS-Preprint: 6/2012 [DOI]

2013

Ay, N. and K. Ghazi-Zahedi: Causal effects for prediction and deliberative decision making of embodied systems. Advances in cognitive neurodynamics III : proceedings of the 3rd International Conference on Cognitive Neurodynamics 2011 ; [June 9-13, 2011, Hilton Niseko Village, Hokkaido, Japan] / Y. Yamaguchi (ed.). Springer, 2013. - P. 499-506 (Advances in cognitive neurodynamics) Bibtex MIS-Preprint: 22/2011 [DOI]

Ay, N. and W. Löhr: A measure-theoretic description of the intrinsic view of embodied agents. Bibtex[FREELINK]

Ay, N. ; Montúfar, G. and J. Rauh: Selection criteria for neuromanifolds of stochastic dynamics. Advances in cognitive neurodynamics III : proceedings of the 3rd International Conference on Cognitive Neurodynamics 2011 ; [June 9-13, 2011, Hilton Niseko Village, Hokkaido, Japan] / Y. Yamaguchi (ed.). Springer, 2013. - P. 147-154 (Advances in cognitive neurodynamics) Bibtex MIS-Preprint: 15/2011 [DOI]

Bengtsson, I. ; Weis, S. and K. Zyczkowski: Geometry of the set of mixed quantum states : an apophatic approach. Geometric methods in physics : XXX Workshop, Bialowieza, Poland, June 26 to July 2, 2011 / P. Kielanowski (ed.). Springer, 2013. - P. 175-197 (Trends in mathematics) Bibtex MIS-Preprint: 83/2011 [DOI] [ARXIV]

Bertschinger, N. ; Rauh, J. ; Olbrich, E. and J. Jost: Shared information : new insights and problems in decomposing information in complex systems. Proceedings of the European Conference on Complex Systems 2012 / T. Gilbert... (eds.). Springer, 2013. - P. 251-269 (Springer proceedings in complexity) Bibtex [DOI] [ARXIV]

Der, R. and G. Martius: Behavior as broken symmetry in embodied self-organizing robots. Advances in Artificial Life, ECAL 2013 : Proceedings of the Twelfth European Conference on the Synthesis and Simulation of Living Systems / P. Lio... (eds.). MIT Press, 2013. - P. 601-608Bibtex [DOI]

Ghazi-Zahedi, K. and N. Ay: Quantifying morphological computation. Entropy, 15 (2013) 5, p. 1887-1915Bibtex MIS-Preprint: 11/2013 [DOI] [ARXIV]

Ghazi-Zahedi, K. ; Martius, G. and N. Ay: Linear combination of one-step predictive information with an external reward in an episodic policy gradient setting : a critical analysis. Frontiers in psychology / Frontiers in cognitive science, 4 (2013), 801Bibtex MIS-Preprint: 60/2013 [DOI] [ARXIV]

Krüger, T. ; Montúfar, G. ; Seiler, R. and R. Siegmund-Schultze: Universally typical sets for ergodic sources of multidimensional data. Kybernetika, 49 (2013) 6, p. 868-882Bibtex MIS-Preprint: 20/2011 [ARXIV]

Lohmann, G. ; Stelzer, J. ; Neumann, J. ; Ay, N. and R. Turner: 'More is different' in functional magnetic resonance imaging : a review of recent data analysis techniques. Brain Connectivity, 3 (2013) 3, p. 223-239Bibtex [DOI]

Martius, G. : Robustness of guided self-organization against sensorimotor disruptions. Advances in complex systems, 16 (2013) 2/3, 1350001Bibtex [DOI]

Martius, G. ; Der, R. and N. Ay: Information driven self-organization of complex robotic behaviors. PLoS one, 8 (2013) 5, e63400Bibtex MIS-Preprint: 15/2013 [DOI] [ARXIV]

Montúfar, G. : Mixture decompositions of exponential families - using a decomposition of their sample spaces. Kybernetika, 49 (2013) 1, p. 23-39Bibtex MIS-Preprint: 39/2010 [ARXIV] [FREELINK]

Montúfar, G. ; Rauh, J. and N. Ay: Maximal information divergence from statistical models defined by neural networks. Geometric science of information : first international conference, GSI 2013, Paris, France, August 28-30, 2013. Proceedings / F. Nielsen... (eds.). Springer, 2013. - P. 759-766 (Lecture notes in computer science ; 8085) Bibtex MIS-Preprint: 31/2013 [DOI] [ARXIV]

Piqueira, J. Roberto C. and Y. C. Campbell-Borges: Extending SDL and LMC complexity measures to quantum states. Physica / A, 392 (2013) 20, p. 5255-5259Bibtex [DOI]

Rauh, J. : Optimally approximating exponential families. Kybernetika, 49 (2013) 2, p. 199-215Bibtex MIS-Preprint: 73/2011 [ARXIV] [FREELINK]

Rauh, J. : Generalized binomial edge ideals. Advances in applied mathematics, 50 (2013) 3, p. 409-414Bibtex [DOI] [ARXIV]

Weis, S. : Discontinuities in the maximum-entropy inference. Bayesian inference and maximum entropy methods in science and engineering / U. v. Toussaint (ed.). AIP Publising, 2013. - P. 192-199 (AIP conference proceedings ; 1553) Bibtex [DOI]

2012

Ay, N. ; Bernigau, H. ; Der, R. and M. Prokopenko: Information-driven self-organization : the dynamical system approach to autonomous robot behavior. Theory in biosciences, 131 (2012) 3, p. 161-179Bibtex [DOI]

Ay, N. ; Der, R. and M. Prokopenko: Guided self-organization : perception-action loops of embodied systems. Theory in biosciences, 131 (2012) 3, p. 125-127Bibtex [DOI]

Ay, N. and W. Wenzel: On solution sets of information inequalities. Kybernetika, 48 (2012) 5, p. 845-864Bibtex MIS-Preprint: 16/2011 [FREELINK]

Janzing, D. ; Mooij, J. ; Zhang, K. ; Lemeire, J. ; Zscheischler, J. ; Daniusis, P. ; Steudel, B. and B. Schölkopf: Information-geometric approach to inferring causal directions. Artificial intelligence, 182/183 (2012), p. 1-31Bibtex [DOI]

Kahle, T. : Erratum to 'Neighborliness of marginal polytopes'. Beiträge zur Algebra und Geometrie, 53 (2012) 1, p. 295-295Bibtex [DOI]

Löhr, W. : Predictive models and generative complexity. Journal of systems science and complexity, 25 (2012) 1, p. 30-45Bibtex [DOI]

Löhr, W. ; Szkoła, A. and N. Ay: Process dimension of classical and non-commutative processes. Open systems and information dynamics, 19 (2012) 1, 1250007Bibtex MIS-Preprint: 52/2011 [DOI] [ARXIV]

Martius, G. and J. M. Herrmann: Variants of guided self-organization for robot control. Theory in biosciences, 131 (2012) 3, p. 129-137Bibtex [DOI]

Montúfar, G. : On the expressive power of discrete mixture models, restricted Boltzmann machines, and deep belief networks - a unified mathematical treatment. Dissertation, Universität Leipzig, 2012Bibtex[FREELINK]

Moritz, P. ; Reichardt, J. and N. Ay: A new common cause principle for bayesian networks. 9th Workshop on Uncertainty Processing : WUPES'12 ; Marianske Lazne, Czech Republik ; 12-15th September 2012 Academy of Sciences of the Czech Republik / Institute of Information Theory and Automation, 2012. - P. 149-162Bibtex[FREELINK]

Rauh, J. : The convex support of the k-star model. Bibtex MIS-Preprint: 58/2012

Weis, S. : Duality of non-exposed faces. Journal of convex analysis, 19 (2012) 3, p. 815-835Bibtex MIS-Preprint: 76/2011 [ARXIV] [FREELINK]

Weis, S. and A. Knauf: Entropy distance : new quantum phenomena. Journal of mathematical physics, 53 (2012) 10, 102206Bibtex MIS-Preprint: 72/2011 [DOI]

2011

Ay, N. ; Müller, M. and A. Szkoła: Effective complexity of stationary process realizations. Entropy, 13 (2011) 6, p. 1200-1211Bibtex MIS-Preprint: 2/2010 [DOI] [ARXIV]

Ay, N. ; Olbrich, E. ; Bertschinger, N. and J. Jost: A geometric approach to complexity. Chaos, 21 (2011) 3, 037103Bibtex MIS-Preprint: 53/2011 [DOI]

Campbell-Borges, Y. C. and J. Roberto C. Piqueira: Classical hierarchical correlation quantification on tripartite qubit mixed state families. Bibtex[ARXIV]

Der, R. and G. Martius: The playful machine : theoretical foundation and practical realization of self-organizing robots. Springer, 2011. - XIII, 333 p. (Cognitive systems monographs ; 15) ISBN 978-3-642-20253-7 Bibtex [DOI]

Martius, G. and J. M. Herrmann: Tipping the scales : guidance and intrinsically motivated behavior. Advances in Artificial Life, ECAL 2011 : Proceedings of the Eleventh European Conference on the Synthesis and Simulation of Living Systems / T. Lenarts (ed.). MIT Press, 2011. - P. 506-513Bibtex

Matus, F. and J. Rauh: Maximization of the information divergence from an exponential family and criticality. IEEE international symposium on information theory proceedings (ISIT) 2011 : July 31-August 5, 2011 in St. Petersburg, Russia IEEE, 2011. - P. 903-907Bibtex [DOI]

Montúfar, G. and N. Ay: Refinements of universal approximation results for deep belief networks and restricted Boltzmann machines. Neural computation, 23 (2011) 5, p. 1306-1319Bibtex MIS-Preprint: 23/2010 [DOI]

Montúfar, G. ; Rauh, J. and N. Ay: Expressive power and approximation errors of restricted Boltzmann machines. Advances in neural information processing systems 24 : 25th Annual Conference on Neural Information Processing Systems 2011, Granada, Spain December 12th - 15th / J. Shawe-Taylor (ed.). Neural Information Processing Systems, 2011. - P. 1-9Bibtex MIS-Preprint: 27/2011 [FREELINK]

Nussbaum, M. and A. Szkoła: Asymptotically optimal discrimination between pure quantum states. Theory of quantum computation, communication, and cryptography : 5th conference, TQC 2010, Leeds, UK, April 13 - 15, 2010, revised selected papers / W. v. Dam... (eds.). Springer, 2011. - P. 1-8 (Lecture notes in computer science ; 6519) Bibtex MIS-Preprint: 1/2010 [DOI] [FREELINK]

Nussbaum, M. and A. Szkoła: An asymptotic error bound for testing multiple quantum hypotheses. The annals of statistics, 39 (2011) 6, p. 3211-3233Bibtex MIS-Preprint: 54/2011 [DOI] [ARXIV]

Rauh, J. : Finding the maximizers of the information divergence from an exponential family. IEEE transactions on information theory, 57 (2011) 6, p. 3236-3247Bibtex MIS-Preprint: 82/2009 [DOI] [ARXIV]

Rauh, J. : Finding the maximizers of the information divergence from an exponential family. Dissertation, Universität Leipzig, 2011Bibtex[FREELINK]

Rauh, J. and N. Ay: Robustness and conditional independence ideals. Bibtex MIS-Preprint: 63/2011 [ARXIV]

Rauh, J. ; Kahle, T. and N. Ay: Support sets in exponential families and oriented matroid theory. International journal of approximate reasoning, 52 (2011) 5, p. 613-626Bibtex MIS-Preprint: 28/2009 [DOI] [ARXIV]

2010

Ay, N. ; Müller, M. and A. Szkoła: Effective complexity and its relation to logical depth. IEEE transactions on information theory, 56 (2010) 9, p. 4593-4607Bibtex [DOI] [ARXIV]

Boldhaus, G. ; Bertschinger, N. ; Rauh, J. ; Olbrich, E. and K. Klemm: Robustness of boolean dynamics under knockouts. Physical review / E, 82 (2010) 2, 021916Bibtex [DOI] [ARXIV]

Daniusis, P. ; Janzing, D. ; Mooij, J. ; Zscheischler, J. ; Steudel, B. ; Zhang, K. and B. Schoelkopf: Inferring deterministic causal relations. Proceedings of the 26th Conference on Uncertainty in Artificial Intelligence : UAI 2010, June 8-11, 2010, Avalon, CA / P. Grünwald... (eds.). AUAI Press, 2010. - P. 143-150Bibtex[ARXIV]

Ghazi-Zahedi, K. ; Ay, N. and R. Der: Higher coordination with less control : a result of information maximization in the sensorimotor loop. Adaptive behavior, 18 (2010) 3/4, p. 338-355Bibtex [DOI] [ARXIV]

Güttler, F. ; Rabe, W. ; Hoffmann, J. ; Bogdan, M. and R. Der: Transposing simulated self-organizing robots into reality using the plug & learn architecture. Proceedings of the International Conference on Fuzzy Computation and International Conference on Neural Computation : Valencia, Spain, October 24 - 26, 2010 SciTePress - Science and Techn. Publ., 2010. - P. 350-357Bibtex [DOI]

Herzog, J. ; Hibi, T. ; Hreinsdottir, F. ; Kahle, T. and J. Rauh: Binomial edge ideals and conditional independence statements. Advances in applied mathematics, 45 (2010) 3, p. 317-333Bibtex [DOI] [ARXIV]

Janzing, D. and B. Steudel: Justifying additive noise model-based causal discovery via algorithmic information theory. Open systems and information dynamics, 17 (2010) 2, p. 189-212Bibtex [DOI] [ARXIV]

Kahle, T. : Neighborliness of marginal polytopes. Beiträge zur Algebra und Geometrie, 51 (2010) 1, p. 45-56Bibtex MIS-Preprint: 57/2008 [ARXIV] [FREELINK]

Kahle, T. : Decompositions of binomial ideals. Annals of the institute of statistical mathematics, 62 (2010) 4, p. 727-745Bibtex [DOI]

Kahle, T. : On boundaries of statistical models. Dissertation, Universität Leipzig, 2010Bibtex[FREELINK]

Krakauer, D. C. ; Flack, J. C. and N. Ay: Probabilistic design principles for robust multimodal communication networks. Modelling perception with artificial neural networks / C. R. Tosh... (eds.). Cambridge University Press, 2010. - P. 255-268Bibtex [DOI]

Löhr, W. : Models of discrete-time stochastic processes and associated complexity measures. Dissertation, Universität Leipzig, 2010Bibtex[FREELINK]

Montúfar, G. : Mixture models and representational power of RBM's, DBN's, and DBM's. Deep Learning and Unsupervised Feature Learning Workshop : NIPS 2010 ; December 19, 2010, Hilton, Vancouver, CanadaBibtex[FREELINK]

Nussbaum, M. and A. Szkoła: Exponential error rates in multiple state discrimination on a quantum spin chain. Journal of mathematical physics, 51 (2010) 7, 072203Bibtex MIS-Preprint: 3/2010 [DOI] [ARXIV]

Olbrich, E. ; Kahle, T. ; Bertschinger, N. ; Ay, N. and J. Jost: Quantifying structure in networks. The European physical journal / B, 77 (2010) 2, p. 239-247Bibtex MIS-Preprint: 81/2009 [DOI] [ARXIV]

Prokopenko, M. ; Ay, N. ; Obst, O. and D. Polani: Phase transitions in least-effort communications. Journal of statistical mechanics, 2010 (2010) 11, P11025Bibtex [DOI]

Steudel, B. ; Janzing, D. and B. Schoelkopf: Causal Markov condition for submodular information measures. COLT 2010 : Proceedings of the 23rd Annual Conference on Learning Theory, Haifa, Israel June 27-29, 2010 / A. T. Kalai... (eds.). Association for Computing Machinery, 2010. - P. 464-476Bibtex[ARXIV]

2009

Ay, N. : A refinement of the common cause principle. Discrete applied mathematics, 157 (2009) 10, p. 2439-2457Bibtex [DOI]

Der, R. : Artificial life from the principle of homeokinesis. Proceedings of the 8th German Workshop on Artificial Life, July 30 - August 1, 2008, Leipzig, Germany / K. Klemm... (eds.). Akademische Verlagsgesellschaft, 2009. - P. 125-136Bibtex

Ghazi-Zahedi, K. : Self-regulating neurons : a model for synaptic plasticity in artificial recurrent neural networks. Dissertation, Universität Osnabrück, 2009Bibtex[FREELINK]

Hesse, F. ; Der, R. and J. M. Herrmann: Modulated exploratory dynamics can shape self-organized behavior. Advances in complex systems, 12 (2009) 3, p. 273-291Bibtex [DOI]

Kahle, T. ; Olbrich, E. ; Jost, J. and N. Ay: Complexity measures from interaction structures. Physical review / E, 79 (2009) 2, pt. 2, 026201Bibtex MIS-Preprint: 44/2008 [DOI] [ARXIV]

Kahle, T. ; Wenzel, W. and N. Ay: Hierarchical models, marginal polytopes, and linear codes. Kybernetika, 45 (2009) 2, p. 189-207Bibtex MIS-Preprint: 30/2008 [ARXIV] [FREELINK]

Löhr, W. : Properties of the statistical complexity functional and partially deterministic HMMs. Entropy, 11 (2009) 3, p. 385-401Bibtex MIS-Preprint: 24/2009 [DOI]

Löhr, W. and N. Ay: On the generative nature of prediction. Advances in complex systems, 12 (2009) 2, p. 169-194Bibtex MIS-Preprint: 8/2008 [DOI]

Löhr, W. and N. Ay: Non-sufficient memories that are sufficient for prediction. Complex sciences : first international conference, Complex 2009, Shanghai, China, February 23 - 25, 2009, revised papers. Pt. 1 / J. Zhou (ed.). Springer, 2009. - P. 265-276 (Lecture notes of the Institute for Computer Science, Social Informatics and Telecommunications Engineering ; 4) Bibtex [DOI]

Müller, M. : Convex trace functions on quantum channels and the additivity conjecture. Physical review / A, 79 (2009) 5, 052332Bibtex [DOI] [ARXIV]

Müller, M. : Does probability become fuzzy in small regions of spacetime?. Physics Letters / B, 673 (2009) 2, p. 166-167Bibtex [DOI]

Müller, M. : On the quantum Kolmogorov complexity of classical strings. International journal of quantum information, 7 (2009) 4, p. 701-711Bibtex [DOI]

Müller, M. ; Rogers, C. and R. Nagarajan: Lossless quantum prefix compression for communication channels that are always open. Physical review / A, 79 (2009) 1, 012302Bibtex [DOI] [ARXIV]

Nussbaum, M. and A. Szkoła: The Chernoff lower bound for symmetric quantum hypothesis testing. The annals of statistics, 37 (2009) 2, p. 1040-1057Bibtex MIS-Preprint: 69/2006 [DOI] [ARXIV]

2008

Audenaert, K. M. R. ; Nussbaum, M. ; Szkoła, A. and F. Verstraete: Asymptotic error rates in quantum hypothesis testing. Communications in mathematical physics, 279 (2008) 1, p. 251-283Bibtex MIS-Preprint: 84/2007 [DOI] [ARXIV]

Ay, N. ; Bertschinger, N. ; Der, R. ; Güttler, F. and E. Olbrich: Predictive information and explorative behavior of autonomous robots. The European physical journal / B, 63 (2008) 3, p. 329-339Bibtex [DOI]

Ay, N. and D. Polani: Information flows in causal networks. Advances in complex systems, 11 (2008) 1, p. 17-41Bibtex MIS-Preprint: 47/2006 [DOI]

Bertschinger, N. ; Olbrich, E. ; Ay, N. and J. Jost: Autonomy : an information-theoretic perspective. Biosystems, 91 (2008) 2, p. 331-345Bibtex [DOI]

Bjelakovic, I. ; Deuschel, J. ; Krüger, T. ; Seiler, R. ; Siegmund-Schultze, R. and A. Szkoła: Typical support and Sanov large deviations of correlated states. Communications in mathematical physics, 279 (2008) 2, p. 559-584Bibtex MIS-Preprint: 33/2007 [DOI] [ARXIV]

Der, R. ; Güttler, F. and N. Ay: Predictive information and emergent cooperativity in a chain of mobile robots. Artificial Life XI : Proceedings of the Eleventh International Conference on the Simulation and Synthesis of Living Systems MIT Press, 2008. - P. 166-172Bibtex

Ghazi-Zahedi, K. ; Twickel, A. v. and F. Pasemann: YARS : A physical 3D simulator for evolving controllers for real robots. Simulation, modeling, and programming for autonomous robots : first international conference, SIMPSR 2008 Venice, Italy, November 3-7, 2008 proceedings / S. Carpin... (eds.). Springer, 2008. - P. 75-86 (Lecture notes in artificial intelligence ; 5325) Bibtex [DOI]

Müller, M. and C. Rogers: Quantum bit strings and prefix-free Hilbert spaces. Proceedings of the 2008 International Conference on Information Theory and Statistical Learning : ITSL 2008, Las Vegas, Nevada, USA, July 14 - 17, 2008 / M. Dehmer... (eds.). CSREA Press, 2008. - P. 106-111Bibtex[ARXIV]

Olbrich, E. ; Bertschinger, N. ; Ay, N. and J. Jost: How should complexity scale with system size?. The European physical journal / B, 63 (2008) 3, p. 407-415Bibtex [DOI]

2007

Atay, F. M. and D. J. Albers: Entropy, dimension, and state mixing in a class of time-delayed dynamical systems. Bibtex MIS-Preprint: 83/2007 [ARXIV]

Ay, N. ; Flack, J. C. and D. C. Krakauer: Robustness and complexity co-constructed in multimodal signalling networks. Philosophical transactions of the Royal Society of London / B, 362 (2007) 1479, p. 441-447Bibtex [DOI]

Ay, N. and D. C. Krakauer: Geometric robustness theory and biological networks. Theory in biosciences, 125 (2007) 2, p. 93-121Bibtex MIS-Preprint: 14/2006 [DOI]

Ghazi-Zahedi, K. and F. Pasemann: Adaptive behavior control by self-regulating neurons. 50 years of artificial intelligence : essays dedicated to the 50th aniversary of artificial intelligence / M. Lungarella... (eds.). Springer, 2007. - P. 196-205 (Lecture notes in computer science ; 4850 : Lecture notes in artificial intelligence) Bibtex [DOI]

Jost, J. ; Bertschinger, N. ; Olbrich, E. ; Ay, N. and S. Frankel: An information theoretic approach to system differentiation on the basis of statisitical dependencies between subsystems. Physica / A, 378 (2007) 1, p. 1-10Bibtex [DOI]

Wennekers, T. ; Ay, N. and P. Andras: High-resolution multiple-unit EEG in cat auditory cortex reveals large spatio-temporal stochastic interactions. Biosystems, 89 (2007) 1/3, p. 190-197Bibtex [DOI]

2006

Albers, D. J. and J. C. Sprott: Probability of local bifurcation type from a fixed point: a random matrix perspective. Journal of statistical physics, 125 (2006) 4, p. 889-925Bibtex MIS-Preprint: 94/2005 [DOI]

Albers, D. J. and J. C. Sprott: Routes to chaos in high-dimensional dynamical systems : a qualitative numerical study. Physica / D, 223 (2006) 2, p. 194-207Bibtex MIS-Preprint: 92/2005 [DOI]

Albers, D. J. and J. C. Sprott: Structural stability and hyperbolicity violation in high-dimensional dynamical systems. Nonlinearity, 19 (2006) 8, p. 1801-1847Bibtex MIS-Preprint: 93/2005 [DOI]

Albers, D. J. ; Sprott, J. C. and J. P. Crutchfield: Persistent chaos in high dimensions. Physical review / E, 74 (2006) 5, 057201Bibtex MIS-Preprint: 95/2005 [DOI]

Ay, N. and A. Knauf: Maximizing multi-information. Kybernetika, 42 (2006) 5, p. 517-538Bibtex MIS-Preprint: 42/2003 [ARXIV]

Ay, N. ; Olbrich, E. ; Bertschinger, N. and J. Jost: A unifying framework for complexity measures of finite systems. ECCS'06 : proceedings of the European Conference on Complex Systems 2006 ; towards a science of complex systems / J. Jost... (eds.). European Complex Systems Society, 2006. - P. 80-80Bibtex[FREELINK]

Ay, N. and G. Struck: Stochastic independence of crosstalk variables in the hopfield model. Bibtex MIS-Preprint: 65/2006

Bertschinger, N. ; Olbrich, E. ; Ay, N. and J. Jost: Information and closure in systems theory. Explorations in the complexity of possible life : abstracting and synthesizing the principles of living systems ; proceedings of the 7th German Workshop on Artificial Life, July 26 - 28, 2006, Jena, Germany / S. Artmann... (eds.). Aka, 2006. - P. 9-19Bibtex

Kahle, T. and N. Ay: Support sets of distributions with given interaction structure. 7th Workshop on Uncertainty Processing : WUPES'06 ; Mikulov, Czech Republik ; 16-20th September 2006 Academy of Sciences of the Czech Republik / Institute of Information Theory and Automation, 2006. - P. 52-61Bibtex MIS-Preprint: 94/2006 [FREELINK]

Sato, Y. and N. Ay: Adaptive dynamics for interacting Markovian processes. Bibtex[ARXIV]

Wennekers, T. and N. Ay: A temporal learning rule in recurrent systems supports high spatio-temporal stochastic interactions. Neurocomputing, 69 (2006) 10/12, p. 1199-1202Bibtex [DOI]