Selected publications

Belavkin, R. V., Channon, A., Aston, E., Aston, J., Krasovec, R., Knight, C. G. (2016). Monotonicity of Fitness Landscapes and Mutation Rate Control. Journal of Mathematical Biology, Springer. [DOI: 10.1007/s00285-016-0995-3]

Belavkin, R. V. (2015). Asymmetric Topologies on Statistical Manifolds. In Nielsen, F., Barbaresco, F., eds.: Geometric Science of Information. Lecture Notes in Computer Science, Vol. 9389, pp 203--210, Springer. [DOI: 10.1007/978-3-319-25040-3_23] (Preprint arXiv:1507.08229)

Belavkin, R.V. (2015). On variational definition of quantum entropy. In Ali Mohammad-Djafari and Frederic Barbaresco (Eds.) Bayesian Inference and Maximum Entropy Methods in Science and Engineering (MAXENT 2014). AIP Conference Proceedings, Vol. 1641. [DOI: 10.1063/1.4905979]

Belavkin, R.V. (2014). Asymmetry of Risk and Value of Information. In Vogiatzis, C; Walteros, J.L.; Pardalos, P.M. (Eds.) Dynamics of Information Systems: Computational and Mathematical Challenges. Springer Proceedings in Mathematics & Statistics, Vol. 105, pp 1--20. Springer. [DOI: 10.1007/978-3-319-10046-3_1] (Preprint arXiv:1405.5860)

Krasovec, R., Belavkin, R., Aston, J., Channon, A., Aston, E., Rash, B., Kadirvel, M., Forbes, S., Knight, C. (2014). Mutation-rate-plasticity in rifampicin resistance depends on Escherichia coli cell-cell interactions. Nature Communications, Vol. 5, No. 3742. [DOI: 10.1038/ncomms4742]

Belavkin, R. V. (2013). Law of Cosines and Shannon-Pythagorean Theorem for Quantum Information. In Nielsen, F., Barbaresco, F., eds.: Geometric Science of Information. Lecture Notes in Computer Science, Vol. 8085, pp 369--376, Springer. [DOI: 10.1007/978-3-642-40020-9_40](PDF, 150K)

Belavkin, R. V. (2013). Minimum of information distance criterion for optimal control of mutation rate in evolutionary systems. In L. Accardi, W. Freudenberg & M. Ohya (Eds.) Quantum Bio-Informatics V, Vol. 30, pp 95--115. World Scientific.[DOI: 10.1142/9789814460026_0009]

Belavkin, R. V. (2013). Optimal measures and Markov transition kernels. Journal of Global Optimization. Vol. 55, No. 2, pp 387--416. Springer. [DOI: 0.1007/s10898-012-9851-1], (PDF, 318K)

Belavkin, R. V. (2012). Dynamics of Information and Optimal Control of Mutation in Evolutionary Systems. In Sorokin, A.; Murphey, R.; Thai, M.T.; Pardalos, P.M. (Eds.) Dynamics of Information Systems: Mathematical Foundations. Springer Proceedings in Mathematics & Statistics, Vol. 20, pp 3--21. Springer. [DOI: 10.1007/978-1-4614-3906-6_1]

Belavkin, R. V. (2012). Maximal Connectivity and Constraints in the Human Brain. In Workshop on Optimization and Data Analysis in Biomedical Informatics, Fields Institute Communications, Vol. 63, pp 191--198.[DOI: 10.1007/978-1-4614-4133-5_10]

Belavkin, R. V. (2012). On Evolution of an Information Dynamic System and its Generating Operator. Optimization Letters. Vol. 6, No. 5, pp 827--840. Springer. [DOI: 10.1007/s11590-011-0325-z], (PDF, 183K)

Belavkin, R. V. (2011). Mutation and Optimal Search of Sequences in Nested Hamming Spaces. In IEEE Information Theory Workshop [DOI: 10.1109/ITW.2011.6089592], (PDF, 192K)

Belavkin, R. V., Channon, A., Aston, E., Aston, J., Knight, C. G. (2011). Theory and Practice of Optimal Mutation Rate Control in Hamming Spaces of DNA Sequences. In T. Lenaerts, M. Giacobini, H. Bersini, P. Bourgine, M. Dorigo and R. Doursat, eds. Advances in Artificial Life, ECAL 2011: Proceedings of the Eleventh European Conference on the Synthesis and Simulation of Living Systems, pp 85--92, MIT Press (PDF, 167K)

Channon, A., Aston, E., Day, C., Belavkin, R. V., Knight, C. G. (2011). Critical Mutation Rate Has an Exponential Dependence on Population Size. In T. Lenaerts, M. Giacobini, H. Bersini, P. Bourgine, M. Dorigo and R. Doursat, eds. Advances in Artificial Life, ECAL 2011: Proceedings of the Eleventh European Conference on the Synthesis and Simulation of Living Systems, pp 117--124, MIT Press (PDF, 172K)

Belavkin, R. V. & Huyck, C. R. (2011). Conflict Resolution and Learning Probability Matching in a Neural Cell-Assembly Architecture. Cognitive Systems Research. Vol. 12, No. 2, pp 93--101. Elsevier. [DOI: 10.1016/j.cogsys.2010.08.003].

Belavkin, R. V. (2010). Utility and value of information in cognitive science, biology and quantum theory. In L. Accardi, W. Freudenberg & M. Ohya (Eds.) Quantum Bio-Informatics III (Vol. 26). World Scientific. (link)

Belavkin, R. V. (2010). Information trajectory of optimal learning. In M. J. Hirsch P. M. Pardalos & R. Murphey (Eds.) Dynamics of Information Systems: Theory and Applications. Springer Optimization and Its Applications, Vol. 40, pp 29--44. Springer. [DOI: 10.1007/978-1-4419-5689-7_2] (link)

Belavkin, R. V. & Huyck, C. R. (2009). A Model of Probability Matching in a Two-Choice Task Based on Stochastic Control of Learning in Neural Cell-Assemblies. In Proceedings of the 9th International Conference on Cognitive Modelling. (PDF, 88Kb)

Belavkin, R. V. (2009). Bounds of optimal learning. In IEEE International Symposium on Adaptive Dynamic Programming and Reinforcement Learning (pp. 199--204). Nashville, TN, USA, IEEE (2009). [DOI: 10.1109/ADPRL.2009.4927545], (PDF, 167K)

Belavkin, R. V. (2008). The Duality of Utility and Information in Optimally Learning Systems. In 7th IEEE International Conference on `Cybernetic Intelligent Systems'. Middlesex University, London, UK. [DOI: 10.1109/UKRICIS.2008.4798960], (PDF, 251K)

Belavkin, R. V. (2008). Information Evolution of Optimal Learning. In PASCAL 2008 Workshop on `Approximate Inference in Stochastic Processes and Dynamical Systems'. Cumberland Lodge, UK.

Belavkin, R. V. & Huyck, C. R. (2008). Emergence of Rules in Cell Assemblies of fLIF Neurons. In Proceedings of The 18th European Conference on Artificial Intelligence (ECAI08). (PDF, 54Kb)

Belavkin, R. V. (2007). Do Neural Models Scale up to a Human Brain?. In Proceedings of The International Joint Conference on Neural Networks. IEEE. (PDF, 124Kb)

Belavkin, R. V. (2006). Towards a Theory of Decision-Making without Paradoxes. In D. Fum, F. D. Missier & A. Stocco (Eds.) Proceedings of the Seventh International Conference on Cognitive Modelling (pp. 38-43). Trieste, Italy: Edizioni Goliardiche (ISBN 88-7873-031-9) (PDF, 97Kb)

Belavkin, R. V. (2005c). Acting irrationally to improve performance in stochastic worlds. In M. Bramer, F. Coenen, & T. Allen (Eds.) Proceedings of AI-2005, the 25th SGAI International Conference on Innovative Techniques and Applications of Artificial Intelligence. (Vol. XXII, pp. 305--316). Cambridge: Springer [DOI: 10.1007/978-1-84628-226-3_23]

Belavkin, R. V. & Ritter, F. E. (2004). OPTIMIST: A New Conflict Resolution Algorithm for ACT-R. In Proceedings of the Sixth International Conference on Cognitive Modelling (pp. 40--45). Mahwah, NJ, London: Lawrence Erlbaum. ISBN 0-8058-5426-6

Belavkin, R. V. (2004). On Relation between Emotion and Entropy. In C.Johnson (Ed.), Proceedings of the AISB'04 Symposium on Emotion, Cognition and Affective Computing (pp. 1--8). Leeds, UK. ISBN 1-902956-36-6 (PDF, 104Kb)

Belavkin, R. V. (2003). Conflict Resolution by Random Estimated Costs. In D. Al-Dabass (Ed.), Proceedings of 17th European Simulation Multiconference (pp. 105--110). Nottingham, England. ISBN 3-936150-25-7 (PDF, 465Kb)

Belavkin, R. V. & Ritter, F. E. (2003). The Use of Entropy for Analysis and Control of Cognitive Models. In F. Detje, D. Dorner, & H. Schaub (Eds.), Proceedings of the Fifth International Conference on Cognitive Modelling (pp. 21--26). Bamberg, Germany: Universitats-Verlag Bamberg. ISBN 3-933463-15-7 (PDF, 197Kb)

Belavkin, R. V. (2001). Modelling the Inverted-U Effect in ACT-R. In E. M. Altmann, A. Cleeremans, C. D. Schunn, & W. D. Gray (Eds.), Proceedings of the 2001 Fourth International Conference on Cognitive Modelling (pp. 275--276). Mahwah, NJ, London: Lawrence Erlbaum. ISBN 0-8058-4042-7 (PDF, 74Kb)

Belavkin, R. V. (2001). The role of emotion in problem solving. In C.Johnson (Ed.), Proceedings of the AISB'01 Symposium on Emotion, Cognition and Affective Computing (pp. 49--57). Heslington, York, England. ISBN 1-902956-19-7 (PDF, 715Kb)

Belavkin, R. V. (2003). On Emotion, Learning and Uncertainty: A Cognitive Modelling Approach. PhD Thesis (PDF, 2.17Mb).

Recent and upcoming talks

Belavkin, R. V. (2016, June 14). Kantorovich optimal transport problem and Shannon's optimal channel problem. Talk at Information Geometry and its Applications IV. Liblice, Czech Republic.

Belavkin, R. V. (2015, May 17--22). Talk at the Dagstuhl Seminar on Theory of Evolutionary Algorithms.

Belavkin, R. V. (2015, May 15). Talks at the School-Seminar on Operational Research and Applications. Nizhny Novgorod, Russia.

Belavkin, R. V. (2014, Nov 19). On variational problems in quantum information theory. The University of Nottingham, UK.

Belavkin, R. V. (2014, Oct 23). Variational problems in quantum information theory. In The QBIC Workshop 2014. Tokyo, Japan.

Belavkin, R. V. (2014, Sept 24). On Variational Definition of Quantum Entropy. In MaxEnt 2014. Amboise, France.

Belavkin, R. V. (2014, June 19). Distance to Optimum in Stochastic Landscapes. In Conference on Optimization Control and Applications in the Information Age. Chalkidiki, Greece.

Belavkin, R. V. (2014, April 30). Fitness-Distance Information in Stochastic Landscapes. Dynamics Games and Optimisation. Warwick Mathematics Institute, UK.

Belavkin, R. V. (2014, February 16--21). Information-Geometric Optimisation of Parameters in Randomised Algorithms. Plenary talk at LION 8: Learning and Intelligent OptimizatioN Conference. Florida, USA

Belavkin, R. V. (2013, December 19). Information-Theoretic View of Mutation. Bio-Informatics School. Tokyo University of Science, Tokyo, Japan.

Belavkin, R. V. (2013, Sept 19). Pythagorean theorem for Shannon capacity of a quantum channel. In 34th International Conference on Quantum Probability and Related Topics. Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia.

Belavkin, R. V. (2013, Aug 29). Law of Cosines and Shannon-Pythagorean Theorem for Quantum Information. In Geometric Science of Information (GSI2013). Mines ParisTech, Paris, France.

Belavkin, R. V. (2013, Feb 12). On Optimality of Deterministic and Non-Deterministic Transformations. In DIMAP Seminar. Centre for Discrete Mathematics and its Applications (DIMAP), The University of Warwick, UK.

Belavkin, R. V. (2012, Nov 26). On optimal length of hypotenuse of Markov morphisms. In Infinite-dimensional analysis and mathematical physics seminar. Faculty of Mechanics and Mathematics, Moscow State University, Moscow, Russia.

Belavkin, R. V. (2012, Feb 20--22). Variational Problems of Information Theory and Optimal Markov Evolution. In 4th International Conference on the Dynamics of Information Systems. Gainesville, Florida, USA.

Belavkin, R. V. (2011, December 21). Evolutionary dynamics and Fisher's geometric theory of adaptation. Bio-Informatics School. Tokyo, Japan.

Belavkin, R. V. (2011, October 17). Mutation and Optimal Search of Sequences in Nested Hamming Spaces. IEEE Information Theory Workshop, Paraty, Brazil. (PDF, 603K)

Belavkin, R. V., Channon, A., Aston, E., Aston, J., Knight, C. G. (2011, August 11). Theory and Practice of Optimal Mutation Rate Control in Hamming Spaces of DNA Sequences. In The 20th European Conference on Artificial Life (ECAL), Paris. (PDF, 580K)

Belavkin, R. V. (2011, July 4). On Global Optimality of Deterministic and Non-Deterministic Transformations. In Second World Congress on Global Optimization in Engineering & Science (WCGO-2011). Crete, Greece. (PDF, 338K)

Belavkin, R. V. (2011, March 7--14). Minimum of Information Distance Criterion for Optimal Control of Mutation Rate in Evolutionary Systems. In The 5th International Conference of Quantum Bio-informatics Center. Tokyo, Japan.

Belavkin, R. V. (2011, Feb 23). The effect of information constraints on decision-making and economic behaviour. At the Cognitive Sciences Seminar. Birkbeck College, London, UK.

Belavkin, R. V. (2011, Feb 16). Dynamics of Information and Optimal Control of Reproduction in Evolutionary Systems. In 3rd International Conference on the Dynamics of Information Systems. Gainesville, Florida, USA. (PDF, 1.4M)

Belavkin, R. V. (2011, Feb 11). Optimal measures and transition kernels. At Analysis and Geometry Seminar. Northeastern University, Boston, USA. (PDF, 604K)

Belavkin, R. V. (2010, April 14--17). The effect of information constraints on decision-making and economic behaviour. In EPSRC Symposium Workshop on Game theory for finance, social and biological sciences (GAM). Mathematics Research Centre, University of Warwick, UK. (PDF, 464K)

Belavkin, R. V. (2010, March 16). Geometry and Optimisation of Learning. In Seminar on Dynamical Systems and Statistical Physics. Queen Mary, University of London, UK.

Belavkin, R. V. (2010, February 17). The effect of information constraints on decision-making and economic behaviour. School of Computing and Mathematics, University of Keele, UK.

Belavkin, R. V. (2009, October 22). The effect of information constraints on decision-making and economic behaviour. CRiSM seminar, Department of Statistics, University of Warwick, UK.

Belavkin, R. V. (2009). Bounds of optimal learning. In IEEE International Symposium on Adaptive Dynamic Programming and Reinforcement Learning (pp. 199--204). Nashville, TN, USA, IEEE (2009).

Belavkin, R. V. (2008). Information Evolution of Optimal Learning. In PASCAL 2008 Workshop on `Approximate Inference in Stochastic Processes and Dynamical Systems'. Cumberland Lodge, UK. (video of the talk and PDF)

Belavkin, R. V. (2007). Do Neural Models Scale up to a Human Brain?. In Proceedings of The International Joint Conference on Neural Networks. IEEE. Orlando, USA (PDF, 108Kb)

Belavkin, R. V. (2006). Towards a Theory of Decision-Making without Paradoxes. In The Seventh International Conference on Cognitive Modelling. Trieste, Italy (PDF, 503b)

Belavkin, R. V. (2005g). Acting irrationally to improve performance in stochastic worlds. In AI-2005, the 25th SGAI International Conference on Innovative Techniques and Applications of Artificial Intelligence. Cambridge, UK. (PDF, 540Kb)

Belavkin, R. V. (2005f). Towards an Agent-Based Independent Component Analysis. In Workshop on Applied BSS/ICA. Southampton, UK. (PDF, 459Kb)

Belavkin, R. V. (2005e). Modelling the Paradoxes of Decision Making. In the 12th Annual ACT-R Workshop. Trieste, Italy. (PDF, 422Kb)

Belavkin, R. V. (2005d). Common Lisp Implementation of the FastICA Algorithm. In The EPSRC ICA Research Network Launch Day. London, UK. (PDF, 473Kb)

The ICCM03 talk is here (PDF, 507Kb)

The OPTIMIST talk is here (PDF, 594Kb)