Publications
2022
Natural Reweighted Wake–Sleep Journal Article
In: Neural Networks, vol. 155, 2022.
Language-Conditioned Reinforcement Learning to Solve Misunderstandings with Action Corrections Inproceedings
In: Second Workshop on Language and Reinforcement Learning, LaReL, 2022.
Bures–Wasserstein geometry for positive-definite Hermitian matrices and their trace-one subset Journal Article
In: Information Geometry, vol. 5, 2022.
Learning to Predict Requires Integrated Information Miscellaneous
2022.
Invariance properties of the natural gradient in overparametrised systems Journal Article
In: Information Geometry, 2022.
Rational partition models under iterative proportional scaling Miscellaneous
2022.
Intelligent problem-solving as integrated hierarchical reinforcement learning Journal Article
In: Nature machine intelligence, vol. 4, pp. 10, 2022, ISSN: 2522-5839.
2021
How Morphological Computation Shapes Integrated Information in Embodied Agents Journal Article
In: frontiers in Psychology | Cognition, 2021.
Approaching a large deviation theory for complex systems Journal Article
In: Nonlinear Dyn, 2021.
Parametrisation Independence of the Natural Gradient in Overparametrised Systems Inproceedings
In: 5th conference on Geometric Science of Information in PARIS, Sorbonne University, 21 July - 23 July 2021 , 2021.
Confounding Ghost Channels and Causality: A New Approach to Causal Information Flows Journal Article
In: Vietnam Journal of Mathematics, pp. 30, 2021, ISSN: 2305-2228.
Towards a canonical divergence within information geometry Journal Article
In: Information Geometry, vol. 4, pp. 65–130 (2021), 2021.
The Information-Geometric Perspective of Compositional Data Analysis Book Chapter
In: Advances in Compositional Data Analysis, pp. Pages 21-43, Springer, Cham, 2021, ISBN: 978-3-030-71175-7.
Task-agnostic constraining in average reward POMDPs Miscellaneous
2021.
A continuity result for optimal memoryless planning in POMDPs Miscellaneous
2021.
Uncertainty and Stochasticity of Optimal Policies Miscellaneous
2021.
Apportionment of work among environment, body and brain of an agent Miscellaneous
2021.
2020
Natural reweighted wake-sleep Miscellaneous
2020.
Approaching a large deviation theory for complex systems Miscellaneous
2020.
Natural wake-sleep algorithm Miscellaneous
2020.
The information-geometric perspective of compositional data analysis Miscellaneous
2020.
On the locality of the natural gradient for learning in deep Bayesian networks Journal Article
In: Information geometry, 2020, ISSN: 2511-2481.
Ingredients for robustness Journal Article
In: Theory in biosciences, vol. 139, no. 4, pp. 309–318, 2020, ISSN: 1431-7613.
Information decomposition based on cooperative game theory Journal Article
In: Kybernetika, vol. 56, no. 5, pp. 979–1014, 2020, ISSN: 0023-5954.
Special issue in memory of František Matúš,:,editorial Journal Article
In: Kybernetika, vol. 56, no. 5, pp. 843–849, 2020, ISSN: 0023-5954.
The information theory of individuality Journal Article
In: Theory in biosciences, vol. 139, no. 2, pp. 209–223, 2020, ISSN: 1431-7613.
Complexity as causal information integration Journal Article
In: Entropy, vol. 22, no. 10, pp. 1107, 2020, ISSN: 1099-4300.
A numerical effciency analysis of a common ancestor condition Incollection
In: Slamanig, Daniel; Tsigaridas, Elias; Zafeirakopoulos, Zafeirakis (Ed.): Mathematical aspects of computer and information sciences,:,8th international conference, MACIS 2019, Gebze-Istanbul, Turkey, November 13-15, 2019,;,revised selected papers, vol. 11989, pp. 357–363, Springer, Cham, 2020, ISBN: 978-3-030-43119-8.
Information and complexity, or: Where is the information? Miscellaneous
2020.
2019
Implementing Bayesian inference with neural networks PhD Thesis
Univeristät Leipzig, 2019.
Topology of statistical systems : a cohomological approach to information theory PhD Thesis
Universität Paris, 2019.
Canonical divergence for flat $alpha$-connections,:,classical and quantum Journal Article
In: Entropy, vol. 21, no. 9, pp. 831, 2019, ISSN: 1099-4300.
Canonical divergence for measuring classical and quantum complexity Journal Article
In: Entropy, vol. 21, no. 4, pp. 435, 2019, ISSN: 1099-4300.
A continuity result for optimal memoryless planning in POMDPs Incollection
In: RLDM 2019,:,4th multidisciplinary conference on reinforcement learning and decision making,;,July 7-10, 2019,;,Montréal, Canada, pp. 362–365, University, Montréal, Canada, 2019.
Divergence functions in information geometry Incollection
In: Nielsen, Frank; Barbaresco, Frédéric (Ed.): Geometric science of information,:,4th international conference, GSI 2019, Toulouse, France, August 27-29, 2019, proceedings, vol. 11712, pp. 433–442, Springer, Cham, 2019, ISBN: 978-3-030-26979-1.
Task-agnostic constraining in average reward POMDPs Incollection
In: Task-agnostic reinforcement learning,:,workshop at ICLR, 06 May 2019, New Orleans, ICLR, [S. L.], 2019.
2018
Dynamical systems induced by canonical divergence in dually flat manifolds Miscellaneous
2018, ISSN: 2511-2481.
Towards a canonical divergence within information geometry Miscellaneous
2018, ISSN: 2511-2481.
Parametrized measure models Journal Article
In: Bernoulli, vol. 24, no. 3, pp. 1692–1725, 2018, ISSN: 1350-7265.
Morphological computation,:,synergy of body and brain [Entropy, 19 (2017) 9, 456] Incollection
In: Lizier, Joseph T; Bertschinger, Nils; Jost, Jürgen; Wibral, Michael (Ed.): Information decomposition of target effects from multi-source interactions,:,[collected articles from the special issue published in Entropy], pp. 267–281, MDPI, Basel, 2018, ISBN: 978-3-03897-015-6.
Comparison and connection between the joint and the conditional generalized iterative scaling algorithm Incollection
In: Kratochvíl, Václav (Ed.): Proceedings of the 11th workshop on uncertainty processing WUPES '18, June 6-9, 2018, pp. 105–116, MatfyzPress, Praha, 2018, ISBN: 978-80-7378-361-7.
Uncertainty and stochasticity of optimal policies Incollection
In: Kratochvíl, Václav (Ed.): Proceedings of the 11th workshop on uncertainty processing WUPES '18, June 6-9, 2018, pp. 133–140, MatfyzPress, Praha, 2018, ISBN: 978-80-7378-361-7.
Congruent families and invariant tensors Incollection
In: Ay, Nihat; Gibilisco, Paolo; Matúš, František (Ed.): Information geometry and its applications,:,on the occasion of Shun-ichi Amari's 80th Birthday, IGAIA IV Liblice, Czech Republic, June 2016, vol. 252, pp. 157–187, Springer, Cham, 2018, ISBN: 978-3-319-97797-3.
Robustness, causal networks, and experimental design Book
Princeton University Press, Princeton, 2018.
Information geometry and its applications Book
Springer, Cham, 2018, ISBN: 978-3-319-97797-3, (on the occasion of Shun-ichi Amari's 80th Birthday, IGAIA IV Liblice, Czech Republic, June 2016).
Univeristät Leipzig, 2018.
2017
Morphological computation,:,synergy of body and brain Journal Article
In: Entropy, vol. 19, no. 9, pp. 456, 2017, ISSN: 1099-4300.
Comparing information-theoretic measures of complexity in Boltzmann machines Journal Article
In: Entropy, vol. 19, no. 7, pp. 310, 2017, ISSN: 1099-4300.
Parametrized measure models Incollection
In: Information geometry, vol. 64, pp. 121–184, Springer, Cham, 2017, ISBN: 978-3-319-56477-7.
Stochasticity of optimal policies for POMDPs Incollection
In: RLDM 2017,:,3rd multidisciplinary conference on reinforcement learning and decision making,;,June 11-14, 2017,;,Ann Arbor, Michigan, USA, pp. T97, University, Michigan, 2017.
Information geometry Book
Springer, Cham, 2017, ISBN: 978-3-319-56477-7.
Large deviation results for likelihood ratios and hypothesis testing on quantum spin chains PhD Thesis
Universität Leipzig, 2017.
2016
Evaluating morphological computation in muscle and DC-motor driven models of hopping movements Journal Article
In: Frontiers in robotics and AI, vol. 3, pp. 42, 2016, ISSN: 2296-9144.
Hierarchical quantification of synergy in channels Journal Article
In: Frontiers in robotics and AI, vol. 2, pp. 35, 2016, ISSN: 2296-9144.
Information flow in learning a coin-tossing game Journal Article
In: Nonlinear theory and its applications, vol. 7, no. 2, pp. 118–125, 2016, ISSN: 2185-4106.
Parametrized measure models and a generalization of Chentsov's theorem Incollection
In: Ay, Nihat; Gibilisco, Paolo; Matúš, František (Ed.): International conference on information geometry and its applications IV,:,Liblice, June 12-17, 2016,;,in honor of Shun-ichi Amari, pp. 17–17, Matfyzpress, Praha, 2016, ISBN: 978-80-7378-316-7.
Iterative scaling algorithm for channels Miscellaneous
2016.
Information theoretically aided reinforcement learning for embodied agents Miscellaneous
2016.
2015
Universität Leipzig, 2015.
Information geometry on complexity and stochastic interaction Journal Article
In: Entropy, vol. 17, no. 4, pp. 2432–2458, 2015, ISSN: 1099-4300.
Geometric design principles for brains of embodied agents Journal Article
In: Künstliche Intelligenz,:,KI, vol. 29, no. 4, pp. 389–399, 2015, ISSN: 0933-1875.
A novel approach to canonical divergences within information geometry Journal Article
In: Entropy, vol. 17, no. 12, pp. 8111–8129, 2015, ISSN: 1099-4300.
Information geometry and sufficient statistics Journal Article
In: Probability theory and related fields, vol. 162, no. 1-2, pp. 327–364, 2015, ISSN: 0178-8051.
The Umwelt of an embodied agent,:,a measure-theoretic definition Journal Article
In: Theory in biosciences, vol. 134, no. 3-4, pp. 105–116, 2015, ISSN: 1431-7613.
Geometry and expressive power of conditional restricted Boltzmann machines Journal Article
In: Journal of machine learning research, vol. 16, pp. 2405–2436, 2015, ISSN: 1533-7928.
A theory of cheap control in embodied systems Journal Article
In: PLoS computational biology, vol. 11, no. 9, pp. e1004427, 2015, ISSN: 1553-7358.
Operator-theoretic identification of closed sub-systems of dynamical systems Journal Article
In: An interdisciplinary journal of discontinuity, nonlinearity, and complexity, vol. 4, no. 1, pp. 91–109, 2015, ISSN: 2164-6376.
Zipf's law,:,balancing signal usage cost and communication efficiency Journal Article
In: PLOS ONE, vol. 10, no. 10, pp. e0139475, 2015, ISSN: 1932-6203.
Information-theoretic inference of common ancestors Journal Article
In: Entropy, vol. 17, no. 4, pp. 2304–2327, 2015, ISSN: 1099-4300.
Maximizing the divergence from a hierarchical model of quantum states Journal Article
In: Open systems and information dynamics, vol. 22, no. 1, pp. 1550006, 2015, ISSN: 1230-1612.
Standard divergence in manifold of dual affine connections Incollection
In: Nielsen, Frank; Barbaresco, Frédéric (Ed.): Geometric science of information,:,second international conference, GSI 2015, Palaiseau, France, October 28-30, 2015, proceedings, vol. 9389, pp. 320–325, Springer, Cham, 2015, ISBN: 978-3-319-25039-7.
Decomposition of Markov kernels Incollection
In: Kratochvíl, Václav (Ed.): Proceedings of the 10th workshop on uncertainty processing WUPES '15, Moninec, Czech Republic, September 16-19, 2015, pp. 167–178, Oeconomica, Praha, 2015, ISBN: 978-80-245-2102-2.
Invariant geometric structures on statistical models Incollection
In: Nielsen, Frank; Barbaresco, Frédéric (Ed.): Geometric science of information,:,second international conference, GSI 2015, Palaiseau, France, October 28-30, 2015, proceedings, vol. 9389, pp. 150–158, Springer, Cham, 2015, ISBN: 978-3-319-25039-7.
2014
Quantifying unique information Journal Article
In: Entropy, vol. 16, no. 4, pp. 2161–2183, 2014, ISSN: 1099-4300.
On the Fisher metric of conditional probability polytopes Journal Article
In: Entropy, vol. 16, no. 6, pp. 3207–3233, 2014, ISSN: 1099-4300.
Discriminating between causal structures in Bayesian networks given partial observations Journal Article
In: Kybernetika, vol. 50, no. 2, pp. 284–295, 2014, ISSN: 0023-5954.
Comparison between different methods of level identification Journal Article
In: Advances in complex systems, vol. 17, no. 2, pp. 1450007, 2014, ISSN: 0219-5259.
Closure measures for coarse-graining of the tent map Journal Article
In: Chaos, vol. 24, pp. 013136, 2014, ISSN: 1054-1500.
Robustness, canalyzing functions and systems design Journal Article
In: Theory in biosciences, vol. 133, no. 2, pp. 63–78, 2014, ISSN: 1431-7613.
On the causal structure of the sensorimotor loop Incollection
In: Prokopenko, Mikhail (Ed.): Guided self-organization,:,inception, pp. 261–294, Springer, Berlin [u. a.], 2014, ISBN: 978-3-642-53733-2.
On the cross-disciplinary nature of guided self-organisation Incollection
In: Prokopenko, Mikhail (Ed.): Guided self-organization,:,inception, pp. 3–15, Springer, Berlin [u. a.], 2014, ISBN: 978-3-642-53733-2.
2013
Quantifying morphological computation Journal Article
In: Entropy, vol. 15, no. 5, pp. 1887–1915, 2013, ISSN: 1099-4300.
Linear combination of one-step predictive information with an external reward in an episodic policy gradient setting,:,a critical analysis Journal Article
In: Frontiers in psychology / Frontiers in cognitive science, vol. 4, pp. 801, 2013, ISSN: 1664-1078.
'More is different' in functional magnetic resonance imaging,:,a review of recent data analysis techniques Journal Article
In: Brain Connectivity, vol. 3, no. 3, pp. 223–239, 2013, ISSN: 2158-0014.
Information driven self-organization of complex robotic behaviors Journal Article
In: PLOS ONE, vol. 8, no. 5, pp. e63400, 2013, ISSN: 1932-6203.
Causal effects for prediction and deliberative decision making of embodied systems Inproceedings
In: Yamaguchi, Yoko (Ed.): Advances in cognitive neurodynamics III,:,proceedings of the 3rd International Conference on Cognitive Neurodynamics 2011,;,[June 9-13, 2011, Hilton Niseko Village, Hokkaido, Japan], pp. 499–506, Springer, Dordrecht, 2013, ISBN: 978-94-007-4791-3.
Selection criteria for neuromanifolds of stochastic dynamics Inproceedings
In: Yamaguchi, Yoko (Ed.): Advances in cognitive neurodynamics III,:,proceedings of the 3rd International Conference on Cognitive Neurodynamics 2011,;,[June 9-13, 2011, Hilton Niseko Village, Hokkaido, Japan], pp. 147–154, Springer, Dordrecht, 2013, ISBN: 978-94-007-4791-3.
Maximal information divergence from statistical models defined by neural networks Incollection
In: Nielsen, Frank; Barbaresco, Frédéric (Ed.): Geometric science of information,:,first international conference, GSI 2013, Paris, France, August 28-30, 2013. Proceedings, vol. 8085, pp. 759–766, Springer, Berlin [u. a.], 2013, ISBN: 978-3-642-40019-3.
A measure-theoretic description of the intrinsic view of embodied agents Miscellaneous
2013.
2012
Univeristät Leipzig, 2012.
Information-driven self-organization,:,the dynamical system approach to autonomous robot behavior Journal Article
In: Theory in biosciences, vol. 131, no. 3, pp. 161–179, 2012, ISSN: 1431-7613.
Guided self-organization,:,perception-action loops of embodied systems Journal Article
In: Theory in biosciences, vol. 131, no. 3, pp. 125–127, 2012, ISSN: 1431-7613.
On solution sets of information inequalities Journal Article
In: Kybernetika, vol. 48, no. 5, pp. 845–864, 2012, ISSN: 0023-5954.
Process dimension of classical and non-commutative processes Journal Article
In: Open systems and information dynamics, vol. 19, no. 1, pp. 1250007, 2012, ISSN: 1230-1612.
A new common cause principle for bayesian networks Incollection
In: Proceedings of the 9th workshop on uncertainty processing WUPES '12,:,Marianske Lazne, Czech Republik,;,12-15th September 2012, pp. 149–162, Academy of Sciences of the Czech Republik / Institute of Information Theory and Automation, Praha, 2012, ISBN: 978-80-245-1885-5.
2011
Finding the maximizers of the information divergence from an exponential family PhD Thesis
Univeristät Leipzig, 2011.
Effective complexity of stationary process realizations Journal Article
In: Entropy, vol. 13, no. 6, pp. 1200–1211, 2011, ISSN: 1099-4300.
A geometric approach to complexity Journal Article
In: Chaos, vol. 21, no. 3, pp. 037103, 2011, ISSN: 1054-1500.
Refinements of universal approximation results for deep belief networks and restricted Boltzmann machines Journal Article
In: Neural computation, vol. 23, no. 5, pp. 1306–1319, 2011, ISSN: 0899-7667.
Support sets in exponential families and oriented matroid theory Journal Article
In: International journal of approximate reasoning, vol. 52, no. 5, pp. 613–626, 2011, ISSN: 0888-613x.
Expressive power and approximation errors of restricted Boltzmann machines Incollection
In: Shawe-Taylor, J (Ed.): Advances in neural information processing systems 24,:,25th annual conference on neural information processing systems 2011, Granada, Spain December 12th - 15th,;,NIPS 2011, pp. 415–423, Neural Information Processing Systems, La Jolla, CA, 2011.
Robustness and conditional independence ideals Miscellaneous
2011.
2010
On boundaries of statistical models PhD Thesis
Univeristät Leipzig, 2010.
Models of discrete-time stochastic processes and associated complexity measures PhD Thesis
Univeristät Leipzig, 2010.
Effective complexity and its relation to logical depth Journal Article
In: IEEE transactions on information theory, vol. 56, no. 9, pp. 4593–4607, 2010, ISSN: 0018-9448.
Higher coordination with less control,:,a result of information maximization in the sensorimotor loop Journal Article
In: Adaptive behavior, vol. 18, no. 3/4, pp. 338–355, 2010, ISSN: 1059-7123.
Quantifying structure in networks Journal Article
In: The European physical journal / B, vol. 77, no. 2, pp. 239–247, 2010, ISSN: 1434-6028.
Phase transitions in least-effort communications Journal Article
In: Journal of statistical mechanics, vol. 2010, no. 11, pp. P11025, 2010, ISSN: 1742-5468.
Probabilistic design principles for robust multimodal communication networks Incollection
In: Tosh, Colin R; Ruxton, Graeme D (Ed.): Modelling perception with artificial neural networks, pp. 255–268, Cambridge University Press, Cambridge, 2010, ISBN: 978-0-511-77914-5.
2009
Self-regulating neurons : a model for synaptic plasticity in artificial recurrent neural networks PhD Thesis
Universität Osnabrück, 2009.
A refinement of the common cause principle Journal Article
In: Discrete applied mathematics, vol. 157, no. 10, pp. 2439–2457, 2009, ISSN: 0166-218x.
Complexity measures from interaction structures Journal Article
In: Physical review / E, vol. 79, no. 2, pt. 2, pp. 026201, 2009, ISSN: 1063-651x.
Hierarchical models, marginal polytopes, and linear codes Journal Article
In: Kybernetika, vol. 45, no. 2, pp. 189–207, 2009, ISSN: 0023-5954.
On the generative nature of prediction Journal Article
In: Advances in complex systems, vol. 12, no. 2, pp. 169–194, 2009, ISSN: 0219-5259.
Non-sufficient memories that are sufficient for prediction Incollection
In: Zhou, Jie (Ed.): Complex sciences,:,first international conference, Complex 2009, Shanghai, China, February 23 - 25, 2009, revised papers. Pt. 1, vol. 4, pp. 265–276, Springer, Berlin [u. a.], 2009, ISBN: 978-3-642-02465-8.
Multi-information as guiding scheme for complexity theory PhD Thesis
Friedrich-Alexander-Universität Erlangen-Nürnberg, 2009.
2008
Predictive information and explorative behavior of autonomous robots Journal Article
In: The European physical journal / B, vol. 63, no. 3, pp. 329–339, 2008, ISSN: 1434-6028.
Information flows in causal networks Journal Article
In: Advances in complex systems, vol. 11, no. 1, pp. 17–41, 2008, ISSN: 0219-5259.
Autonomy,:,an information-theoretic perspective Journal Article
In: Biosystems, vol. 91, no. 2, pp. 331–345, 2008, ISSN: 0303-2647.
How should complexity scale with system size? Journal Article
In: The European physical journal / B, vol. 63, no. 3, pp. 407–415, 2008, ISSN: 1434-6028.
Predictive information and emergent cooperativity in a chain of mobile robots Inproceedings
In: Artificial Life XI,:,Proceedings of the Eleventh International Conference on the Simulation and Synthesis of Living Systems, pp. 166–172, MIT Press, Cambridge, MA, 2008, ISBN: 978-0-262-75017-2.
2007
Robustness and complexity co-constructed in multimodal signalling networks Journal Article
In: Philosophical transactions of the Royal Society of London / B, vol. 362, no. 1479, pp. 441–447, 2007, ISSN: 0962-8436.
Geometric robustness theory and biological networks Journal Article
In: Theory in biosciences, vol. 125, no. 2, pp. 93–121, 2007, ISSN: 1431-7613.
An information theoretic approach to system differentiation on the basis of statistical dependencies between subsystems Journal Article
In: Physica / A, vol. 378, no. 1, pp. 1–10, 2007, ISSN: 0378-4371.
High-resolution multiple-unit EEG in cat auditory cortex reveals large spatio-temporal stochastic interactions Journal Article
In: Biosystems, vol. 89, no. 1/3, pp. 190–197, 2007, ISSN: 0303-2647.
2006
Maximizing multi-information Journal Article
In: Kybernetika, vol. 42, no. 5, pp. 517–538, 2006, ISSN: 0023-5954.
A temporal learning rule in recurrent systems supports high spatio-temporal stochastic interactions Journal Article
In: Neurocomputing, vol. 69, no. 10/12, pp. 1199–1202, 2006, ISSN: 0925-2312.
A unifying framework for complexity measures of finite systems Inproceedings
In: Jost, Jürgen; Reed-Tsochas, Felix; Schuster, Peter (Ed.): ECCS'06,:,proceedings of the European Conference on Complex Systems 2006,;,towards a science of complex systems, pp. 80–80, European Complex Systems Society, Paris, 2006, ISBN: 0-9554123-0-7.
Information and closure in systems theory Incollection
In: Artmann, S; Dittrich, P (Ed.): 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, pp. 9–19, IOS Press, Amsterdam, 2006, ISBN: 978-3-89838-076-8.
Autonomy,:,an information theoretic perspective Incollection
In: Rocha, Luis Mateus; Yaeger, Larry S; Bedau, Mark A; Floreano, Dario; Goldstone, Robert L; Vespignani, Alessando (Ed.): Artificial life X,:,proceedings of the tenth international conference on the synthesis and simulation of living systems, pp. 7–12, MIT Press, Cambridge, Mass., 2006, ISBN: 978-0-262-68162-9.
Support sets of distributions with given interaction structure Incollection
In: 7th Workshop on Uncertainty Processing,:,WUPES'06,;,Mikulov, Czech Republik,;,16-20th September 2006, pp. 52–61, Academy of Sciences of the Czech Republik / Institute of Information Theory and Automation, Praha, 2006.
Adaptive dynamics for interacting Markovian processes Miscellaneous
2006.
Stochastic independence of crosstalk variables in the hopfield model Miscellaneous
2006.
2005
Reductions of hidden information sources Journal Article
In: Journal of statistical physics, vol. 120, no. 3-4, pp. 659–684, 2005, ISSN: 0022-4715.
On a notion of linear replicator equations Journal Article
In: Journal of dynamics and differential equations, vol. 17, no. 2, pp. 427–451, 2005, ISSN: 1040-7294.
Finite state automata resulting from temporal information maximization and a temporal learning rule Journal Article
In: Neural computation, vol. 17, no. 10, pp. 2258–2290, 2005, ISSN: 0899-7667.
Stochastic interaction in associative nets Journal Article
In: Neurocomputing, vol. 65, pp. 387–392, 2005, ISSN: 0925-2312.
2004
Multi-information in the thermodynamic limit Journal Article
In: Journal of statistical physics, vol. 115, no. 3-4, pp. 949–976, 2004, ISSN: 0022-4715.
2003
Duality versus dual flatness in quantum information geometry Journal Article
In: Journal of mathematical physics, vol. 44, no. 4, pp. 1512–1518, 2003, ISSN: 0022-2488.
Dynamical properties of strongly interacting Markov chains Journal Article
In: Neural networks, vol. 16, no. 10, pp. 1483–1497, 2003, ISSN: 0893-6080.
Temporal infomax leads to almost deterministic dynamical systems Journal Article
In: Neurocomputing, vol. 52, no. 4, pp. 461–466, 2003, ISSN: 0925-2312.
Temporal Infomax on Markov chains with input leads to finite state automata Journal Article
In: Neurocomputing, vol. 52, no. 4, pp. 431–436, 2003, ISSN: 0925-2312.
Spatial and temporal stochastic interaction in neuronal assemblies Journal Article
In: Theory in biosciences, vol. 122, no. 1, pp. 5–18, 2003, ISSN: 1431-7613.
On maximization of the information divergence from an exponential family Incollection
In: Proceedings of 6th workshop on uncertainty processing,:,Hejnice, September 24-27, 2003, pp. 199–204, Oeconomica, [Praha], 2003, ISBN: 978-80-245-0546-6.
2002
An information-geometric approach to a theory of pragmatic structuring Journal Article
In: The annals of probability, vol. 30, no. 1, pp. 416–436, 2002, ISSN: 0091-1798.
Locality of global stochastic interaction in directed acyclic networks Journal Article
In: Neural computation, vol. 14, no. 12, pp. 2959–2980, 2002, ISSN: 0899-7667.
Dually flat manifolds and global information geometry Journal Article
In: Open systems and information dynamics, vol. 9, no. 2, pp. 195–200, 2002, ISSN: 1230-1612.
Information-theoretic grounding of finite automata in neural systems Miscellaneous
2002.
2001
Aspekte einer Theorie pragmatischer Informationsstrukturierung PhD Thesis
Universität Leipzig, 2001.
2000
Hyperplane arrangements separating arbitrary vertex classes in $mathscr n$-cubes Journal Article
In: Advances in applied mathematics, vol. 25, no. 3, pp. 284–306, 2000, ISSN: 0196-8858.