Publications

Peer-reviewed journal papers

[31] I.Tyukin, A.N. Gorban, K. Sofeikov, I. Romanenko. Knowledge Transfer Between Artificial Intelligence Systems (submitted). https://arxiv.org/abs/1709.01547

[30] A.N. Gorban, R. Burton, I. Romanenko, I.Y. Tyukin. One-trial Correction of Legacy AI Systems and Stochastic Separation Theorems (submitted). https://arxiv.org/abs/1610.00494

[29] I. Tyukin, A.N. Gorban, C. Calvo, J. Makarova, V.A. Makarov. High-dimensional Brain. A Tool for Encoding and Rapid Learning of Memories by Single Neurons. Bulletin of Mathematical Biology, doi: 10.1007/s11538-018-0415-5, 2018. https://arxiv.org/abs/1710.11227

[28] A.N. Gorban, I. Tyukin. Blessing of dimensionality: mathematical foundations of the statistical physics of data. Philosophical Transactions of the Royal Society A 376: 20170237, 2018. doi:10.1098/rsta.2017.0237.  Preprint available at http://arxiv.org/abs/1801.03421.

[27] N. Jarman, C. Trengove, E. Steur, I. Tyukin, Cees van Leeuwen. Self-organisation of small-world networks by adaptive rewiring in response to graph diffusion. Scientific Reports, 7: 13158, 2017. www.nature.com/articles/s41598-017-12589-9. doi:10.1038/s41598-017-12589-9.

[26] A.N. Gorban, I.Y. Tyukin. Stochastic Separation Theorems. Neural Networks, 94, 255-259, 2017. doi:10.1016/j.neunet.2017.07.014 . Preprint available at https://arxiv.org/abs/1703.01203

[25] I.Y. Tyukin, A.N. Gorban, T.A. Tyukina, J.M. Al-Ameri, Y.A. Korablev. Fast Sampling of Evolving Systems with Periodic Trajectories, Mathematical Modelling of Natural Phenomena, 11 (4), 74-89, 2016. Preprint available at http://arxiv.org/abs/1511.03054

[24] A.N. Gorban, I. Tyukin, D. Prokhorov, K. Sofeikov. Approximation with random bases: Pro et contra. Information Sciences, 324-325, 129-145, 2016.  Preprint available at http://arxiv.org/abs/1506.04631

[23] I. Prokin, I. Tyukin, V. Kazantsev. Phase selective oscillations in two noise driven synaptically coupled spiking neurons. International Journal of Bifurcation and Chaos, 25 (7), 2015, 1540005.

[22] A.N. Gorban, N. Jarman, E. Steur, C. van Leeuwen, I. Tyukin. Leaders do not look back, or do they? Mathematical Modelling of Natural Phenomena, 10 (3), 212-231, 2015. doi: 10.1051/mmnp/201510316. preprint available at http://arxiv.org/abs/1505.01440

[21] N. Jarman, C. Trengove, E. Steur, I. Tyukin, and Cees van Leeuwen. Spatially Constrained Adaptive Rewiring in Cortical Networks Creates Spatially Modular Small World Architectures. Cognitive Neurodynamics, 2014. doi: 10.1007/s11571-014-9288-y

[20]  P. Jurica, S. Gepshtein, I. Tyukin, and Cees van Leeuwen. Sensory Optimization by Stochastic Tuning. Psych Review, 120(4),  798-816, 2013. doi: 10.1037/a0034192

[19]  I.Yu. Tyukin, E. Steur, H. Nijmeijer, and Cees van Leeuwen. Adaptive Observers and Parameter Estimation for a Class of Systems Nonlinear in Parameters.  Automatica, 49(8), 2409-2423, 2013, preprint available at http://arxiv.org/abs/0903.2361

[18] A. Gorban, I. Tyukin, E. Steur, and H. Nijmeijer. Lyapunov-like Conditions of Forward Invariance and Boundedness for a Class of Unstable Systems. SIAM Journal on Control and Optimization, 51(3), 2306–2334, 2013. (full text pdf, preprint available at http://arxiv.org/abs/0901.3577)

[17] I.Yu. Tyukin, V.B. Kazantsev. Precise Self-tuning of Spiking  Patterns in Coupled Neuronal Oscillators. Mathematical Modelling of Natural Phenomena. 7(6): 67-94, 2012. doi: http://dx.doi.org/10.1051/mmnp/20127604 (full text pdf)

[16] V.B. Kazantsev, I.Yu. Tyukin. Adaptive and Phase Selective Spike Timing Dependent Plasticity in Synaptically Coupled Neuronal Oscillators. PLOS One, 7(3): e30411. doi:10.1371/journal.pone.0030411, 2012 (full text pdf, supplement)

[15] I.Yu. Tyukin, E. Steur, H. Nijmeijer, D.  Fairhurst, I. Song,  A. Semyanov,  and C. van Leeuwen. State and Parameter estimation for Canonic Models of Neural Oscillators . International Journal of Neural Systems, 20(3): 193-207, 2010  (full text pdf)

[14] D. Fairhurst, I.Yu. Tyukin, H. Nijmeijer, and C. van Leeuwen. Observers for canonic models of neural oscillators. Mathematical Modelling of Natural Phenomena, 5(2): 146-184,  2010 (preprint available at http://arxiv.org/abs/0905.0149)

[13]  E. Steur, I. Tyukin, and  H. Nijmeijer. Semipassivity and synchronization of diffusively coupled neural oscillators. Physica D: Nonlinear Phenomena, 2009. doi:10.1016/j.physd.2009.08.007. (preprint available at http://arxiv.org/abs/0903.3535)

[12]  I.Yu. Tyukin, T. Tyukina, and C. van Leeuwen. Invariant template matching in systems with spatiotemporal coding: a matter for instability.  Neural Networks, 22(4): 425-449, 2009 (full text pdf, preprint available at http://arxiv.org/abs/cs.CV/0702082).

[11]  I.Yu. Tyukin, D. V. Prokhorov, and C. van Leeuwen. Adaptive classification of temporal signals in fixed-weights recurrent neural networks: an existence proof. Neural Computation, 20(10):2564-2596, 2008 (full text pdf, preprint available at http://arxiv.org/abs/0705.3370v1).

[10] I.Yu. Tyukin, E. Steur, H. Nijmeijer, and C. van Leeuwen. Non-uniform small-gain theorems for systems with unstable invariant sets. SIAM Journal on Control and Optimization, 47(2): 849-882, 2008 (full text pdf, preprint).

[9] I.Yu. Tyukin, D. V. Prokhorov, and C. van Leeuwen. Adaptation and parameter estimation in systems with unstable target dynamics and nonlinear parametrization. IEEE Transactions on Automatic Control, 52(9):1543-1559, 2007 (full text pdf, preprint available at http://arxiv.org/abs/math.OC/0506419).

[8] S. Gepshtein, I. Tyukin, and M. Kubovy. The economics of motion perception and invariants of visual sensitivity. Journal of Vision, 7(8):8, 1-18, 2007. doi:10.1167/7.8.8.

[7]  I. Yu. Tyukin and C. van Leeuwen. Decentralized adaptation in interconnected uncertain systems with nonlinear parametrization.  Lecture Notes in Control and Information Sciences, 336:251-270, 2006 (preprint available at http://arxiv.org/abs/math/0606206).

[6]  I.Yu. Tyukin, C. van Leeuwen, and D.V. Prokhorov. Parameter estimation of sigmoid superpositions: Dynamical system approach. Neural Computation, 15(10):2419-2455, 2003 (full text pdf, preprint available at http://arxiv.org/abs/math/0207075).

[5]  I.Yu. Tyukin. Adaptation algorithms in Fnite form for nonlinear dynamic objects. Automation and Remote Control, 64(6):951-974, 2003 (full text pdf).

[4]  I.Yu. Tyukin, D.V. Prokhorov, and V.A. Terekhov. Adaptive control with nonconvex parameterization. IEEE Transactions on Automatic Control, 48(4):554-567, 2003 (full text pdf).

[3]  D.V. Prokhorov, V.A. Terekhov, and Tyukin I.Yu. On the applicability conditions of the adaptive algorithms for the nonconvex problems.  Automation and Remote Control, 63(2):262-279, 2002 (full text pdf).

[2]  V.A. Terekhov and I.Yu. Tyukin. Investigation of the neural networks training processes stability. Part I.  Automation and Remote Control, (10), 1999.

[1]  V.A. Terekhov and I.Yu. Tyukin. Investigation of the neural networks training processes stability. Part II.  Automation and Remote Control, (11), 1999.

 

Books, research monographs, and book chapters

 

[1] I. Tyukin. Adaptation in Dynamical Systems, Cambridge University Press, 2011

(ISBN-10: 0521198194 | ISBN-13: 9780521198196) Published February 2011

 Adaptation book cover

 Front matter, Errata

[2] S. Gepshtein, I. Tyukin. Optimal measurement of visual motion across spatial and temporal scales. In Favorskaya MN and Jain LC (Eds), Computer vision in control systems - 1.  Mathematical theory, Springer-Verlag, Berlin, 2015, pages 211-238. ISBN 978-3-319-10653-3

 Cover image for our chapter with Sergei

  

Selected peer-reviewed international conference papers

[1] A.N. Gorban, I. Tyukin, I. Romanenko. The blessing of dimensionality: Separation theorems in thermodynamic limit. In Proceedings of the 2nd IFAC Workshop on Thermodynamic Foundations of Mathematical Systems Theory, Spain, 28 – 30 September, 2016, Volume 49, issue 24, pages 64-69.DOI: http://dx.doi.org/10.1016/j.ifacol.2016.10.755

[2] E. Steur, I. Tyukin, A.N. Gorban, N. Jarman, C. van Leeuwen. Coupling-modulated multi-stability and coherent dynamics in directed networks of heterogeneous nonlinear oscillators with modular topology. In Proceedings of the 6th IFAC Workshop on Periodic Control Systems PSYCO 2016, Endhoven, The Netherlands, 29 June – 1 July, 2016, Volume 49, issue 14, pages 62 – 67. DOI: http://dx.doi.org/10.1016/j.ifacol.2016.07.981

[3] D. Iudin, I. Tyukin, A.N. Gorban, F. Iudin, V. Kazantsev, I. Mukhina, T. Tyukina. Simple model of complex bursting dynamics in developing networks of neuronal cultures. In Proceedings of the 6th IFAC Workshop on Periodic Control Systems PSYCO 2016, Endhoven, The Netherlands, 29 June – 1 July, 2016, Volume 49, issue 14, pages 68 – 73.  DOI: http://dx.doi.org/10.1016/j.ifacol.2016.07.983

[4] A.N. Gorban, N. Jarman, E. Steur, H. Nijmeijer, C. van Leeuwen, I. Tyukin. Directed cycles and multi-stability of coherent dynamics in systems of coupled nonlinear oscillators. In Proceedings of the 4th IFAC Conference on Analysis and Control of Chaotic Systems, Tokyo, 26-28 August, Japan, 2015.

[5] A.N. Gorban, I.Yu. Tyukin, H. Nijmeijer. Further Results on Lyapunov-like Conditions of Forward Invariance and Boundedness for a Class of Nonlinear Systems. In Proceedings of the 53d IEEE Conference on Decision and Control, Los-Angeles, 15-17 December, USA, 2014 http://arxiv.org/abs/1412.0524

[6] I. Tyukin, P. Rogachev, H. Nijmeijer. Adaptive Observers for Nonlinearly Parameterized Systems Subjected to Parametric Constraints. In Proceedings of the 19th IFAC World Congress on Automatic Control, 10869-10874, South Africa, Cape Town, 24th-29th August, 2014. doi: 10.3182/20140824-6-ZA-1003.00807. http://arxiv.org/abs/1412.5379

[7] K.I. Sofeikov, I. Tyukin, A.N. Gorban, E.M. Mirkes , D.V. Prokhorov, I. Romanenko. Learning optimization for decision tree classification of non-categorical data with information gain impurity criterion. In Proceedings of IEEE International Joint Conference on Neural Networks, 3548 - 3555, Bejing, China, 2014. doi: 10.1109/IJCNN.2014.6889842

[8] K.I. Sofeikov, I. Romanenko, I. Tyukin, A.N. Gorban. Scene Analysis Assisting for AWB Using Binary Decision Trees and Average Image Metrics. In Proceedings of IEEE Conference on Consumer Electronics, 488-491, 10-13 January, Las-Vegas, USA, 2014 (full text pdf).

[9] I. Tyukin, A.N. Gorban. Explicit Reduced-Order Integral Formulations of State and Parameter Estimation Problems for a Class of Nonlinear Systems. In Proceedings of the 52-th IEEE International Conference on Decision and Control, 4284-4289,10-13 December, 2013, Florence, Italy (final version, pdf, http://arxiv.org/abs/1304.1648).

[10] I. Tyukin, D. Fairurst. Making Sense of Unstable Convergence in the Problem of Adaptive Observer Design: Case Study. In Proceedings of the 18-th IFAC World Congress on Automation Control. Milano, Italy, August 28 - September 2, 2011 (final version, pdf).

[11] I. Tyukin, D. Kazantsev. Natural Frequency Adaptation as a Mechanism for Phase Synchronization in Neural Systems. In Proceedings of the 18-th IFAC World Congress on Automation Control. Milano, Italy, August 28 - September 2, 2011.

[12] I.Yu. Tyukin, D.V. Prokhorov. Feasibility of Random Basis Function Approximators for Modeling and Control. In Proceedings of the IEEE International Symposium on Intelligent Control ISIC'2009, St-Petersburg, Russia, 8-10 July, 2009. Preprint available at http://arxiv.org/abs/0905.0677

[13] E. Steur, I.Yu. Tyukin, and H. Nijmeijer. Semi-passivity and Synchronization of Neuronal Oscillators. In Proceedings of the 2-d IFAC Symposium CHAOS'2009. London, UK, 22-24 June, 2009.

[14]  I.Yu. Tyukin, E. Steur, H.Nijmeijer, and C. van Leeuwen. Non-uniform Small Gain Theorems for Systems with Unstable Invariant Sets. In Proceedings of the 47-th IEEE Conference on Decision and Control,  5080-5085, Cancun, Mexico, 9-11 December, 2008.

[15]  I.Yu. Tyukin, E. Steur, H. Nijmeijer, and C. van Leeuwen.  State and Parameter Estimation for Systems in Non-canonical Adaptive Observer Form. In Proceedings of the 17-th IFAC World Congress on Automation Control. Seoul, Korea, 6 - 1 July, 2008 (full text pdf)

[16]  I.Yu. Tyukin, H. Nijmeijer, and C. van Leeuwen.  Non-uniform Small-gain Theorems for Systems with Critical and Slow Relaxations. In Proceedings of the 17-th IFAC World Congress on Automation Control. Seoul, Korea, 6 - 1 July, 2008 (full text pdf)

[17]  E. Steur, I.Yu. Tyukin, H. Nijmeijer, and C. van Leeuwen.  Reconstructing Dynamics of Spiking Neurons from Input-Output Measurements in Vitro. In Proceedings of the 3-d IEEE Conference on Physics and Control. Potsdam, Germany, 3 - 7 September, 2007 (full text pdflink to the IPACS open access library)

[18]  D. Rijlaarsdam, I.Yu. Tyukin, H. Nijmeijer, A. Semyanov, and C. van Leeuwen.  Synchronization of Neural Oscillators with Diffuse Coupling: Does the Leakage of Neurotransmitter Matter? In Proceedings of the 3-d IEEE Conference on Physics and Control. Potsdam, Germany, 3 - 7 September, 2007 (full text pdf, link to the IPACS open access library)

[19]  I.Yu. Tyukin, D.V. Prokhorov, and C. van Leeuwen. A new method for adaptive brake control. In Proceedings of American Control Conference, pages 2194-2199. Portland, Oregon, 8 - 10 June 2005. (Best Session Paper Award, Session ThA14, Automotive Applications IV).

[20]  I.Yu. Tyukin, D.V. Efimov, and C. van Leeuwen. Adaptive regulation to invariant sets. In Proceedings of the 16-th IFAC World Congress. Prague, Czech Republic, 4 - 8  July, 2005

[21] I.Yu. Tyukin and C. van Leeuwen. Adaptation and nonlinear parameterization: Nonlinear dynamics prospective. In Proceedings of the 16-th IFAC World Congress. Prague, Czech Republic, 4 - 8 July, 2005 (full text pdf)

[22]  D. V. Efimov and I.Yu. Tyukin. Direct robust adaptive nonlinear control with derivatives estimation. In Proceedings of the 16-th IFAC World Congress. Prague, Czech Republic, 4 - 8 July, 2005

[23] W. Oud and I.Yu. Tyukin. Sufficient conditions for synchronization in an ensemble of Hindmarsh and Rose neurons: passivity-based approach. In Proceedings of the 6-th. Shtutgart, Germany, 1 - 3 September, 2004 (full text pdf)

[24]  I.Yu. Tyukin and C. van Leeuwen. Adaptive algorithms in finite form for nonconvex parameterized systems with low-triangular structure. In Proceedings of IFAC Workshop on Adaptation and Learning in Control and Signal Processing (ALCOSP 2004), 261-266. Yokohama, Japan, 29 - 31 August 2004.

[25]  I.Yu. Tyukin and C. van Leeuwen. Pattern-dependent synchronization in a system of coupled maps. In Proceedings of Symposium on Nonlinear Science and Apllications (SNSA 2003), Shanghai, China, 9 - 13 November 2003 (full text pdf).

[26]  I.Yu. Tyukin, D.V. Prokhorov, and C. van Leeuwen. Finite-form realization of the adaptive algorithms. In Proceedings of European Control Conference (ECC 2003). University of Cambridge, UK, 1 - 4 September 2003.

[27]  I. Yu. Tyukin and C. van Leeuwen. On the choice of coupling in a system of coupled maps: Structure implies features. In Proceedings of Physics and Control Conference (PhysCon 2003), pages 555-562. Saint-Petersburg, Russia, 20-22 August 2003. IEEE Catalog Number: 03EX708C, ISBN: 0-7803-7940-3.

[28]  V. A. Terekhov and I. Yu. Tyukin. Adaptive control systems: Problems and trends. In Proceedings of Control and Information Technologies Conference, volume 1, pages 145-154. ISPO-Service, Saint-Petersburg, Russia, 3-4 April 2003.

[29]  I. Yu. Tyukin. Parameter estimation of sigmoid superposition by use of equivalent system of dufferential equations. In Proceedings of Control and Information Technologies Conference, volume 1, pages 274-278. ISPO-Service, Saint-Petersburg, Russia, 3-4 April 2003.

[30]  I. Yu. Tyukin, C. van Leeuwen, D.V. Prokhorov, and V.A. Terekhov. On a problem of time-varying learning rate influence on the adaptive system dynamics. In Proceedings of 41st IEEE Conference on Decision and Control, volume 4, pages 4718-4721. Nevada, USA, December 2002.

[31]  I. Yu. Tyukin and C. van Leeuwen. Some problems related to the choice of coupling in a system of coupled maps. In Proceedings of 6th International Conference on Knowledge-Based Intelligent Information and Engineering Systems, pages 917-921. Podere d'Ombriano, Crema, Italy, September 2002.

[32]  D.V. Prokhorov, L.A. Feldkamp, and I.Yu. Tyukin. Adaptive behavior with fixed weights in recurrent neural networks. In Proceedings of IEEE International Joint Conference on Neural Networks, volume 3, pages 2018-2022. Hawaii, USA, May 2002 (full text pdf).

[33]  I.Yu. Tyukin and D.V. Prokhorov. Adaptive idle speed control. In Proceedings of 5th IFAC Symposium for Nonlinear Control Systems. Saint-Petersburg, Russia, July 2001.

[34] V.A. Terekhov, I.Yu. Tyukin, and D.V. Prokhorov. To a problem of aggregated macrovariables choice in aggregated controller analytical design framework. In Proceedings of 5th IFAC Symposium for Nonlinear Control Systems. Saint-Petersburg, Russia, July 2001.

[35] V.A. Terekhov, I.Yu. Tyukin, and D.V. Prokhorov. Adaptive control on manifolds using RBF neural networks. In Proceedings of 39th IEEE Conference on Decision and Control, volume 4, pages 3831-3836. Sydney, Australia, December 2000.

[36] I.Yu. Tyukin, V.A. Terekhov, and T.A. Tyukina. A modification of back ropagation algorithm for a class of nonlinear dynamical plants. In Proceedings of 2nd International Conference on Neural Networks and Artificial Intelligence (ICNNAI-2001), pages 40-44. Minsk, Belorussia, September 2001.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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