Stephen A. Billings

Shu Wang, Hua-Liang Wei, Daniel Coca, Stephen A. Billings: Model term selection for spatio-temporal system identification using mutual information. Int. J. Systems Science 44(2): 223-231 (2013)

L. Z. Guo, Y. Z. Guo, S. A. Billings, Daniel Coca, Zi Qiang Lang: A Volterra series representation for a class of nonlinear infinite dimensional systems with periodic boundary conditions. Systems & Control Letters 62(2): 115-123 (2013)

Yuzhu Guo, L. Z. Guo, S. A. Billings, Daniel Coca, Zi Qiang Lang: Characterizing nonlinear Spatio-Temporal Systems in the Frequency Domain. I. J. Bifurcation and Chaos 22(2) (2012)

Yifan Zhao, H. M. Guo, Stephen A. Billings: Application of Totalistic Cellular Automata for Noise Filtering in Image Processing. J. Cellular Automata 7(3): 207-221 (2012)

Yifan Zhao, H. M. Guo, Stephen A. Billings: Identification of Hybrid Cellular Automata Using Image Segmentation Methods. J. Cellular Automata 7(3): 243-258 (2012)

Ying Zheng, Jing Jing Luo, Samuel Harris, Aneurin J. Kennerley, Jason Berwick, Stephen A. Billings, John E. W. Mayhew: Balanced excitation and inhibition: Model based analysis of local field potentials. NeuroImage 63(1): 81-94 (2012)

Yifan Zhao, Hua-Liang Wei, S. A. Billings: A New Adaptive Fast Cellular Automaton Neighborhood Detection and Rule Identification Algorithm. IEEE Transactions on Systems, Man, and Cybernetics, Part B 42(4): 1283-1287 (2012)

Yifan Zhao, Stephen A. Billings, Yuzhu Guo, Daniel Coca, L. Dematos, R. I. Ristic: Spatio-Temporal Modeling of Wave Formation in an Excitable Chemical Medium Based on a Revised FitzHugh-Nagumo Model. I. J. Bifurcation and Chaos 21(2): 505-512 (2011)

Yifan Zhao, Stephen A. Billings, Daniel Coca, Yuzhu Guo, R. I. Ristic, L. Dematos: Identification of a temperature Dependent FitzHugh-Nagumo Model for the Belousov-Zhabotinskii reaction. I. J. Bifurcation and Chaos 21(11): 3249-3258 (2011)

Yuzhu Guo, Yifan Zhao, Daniel Coca, S. A. Billings: A Simple Scalar Coupled Map Lattice Model for Excitable Media. I. J. Bifurcation and Chaos 21(11): 3277-3292 (2011)

Liang-Min Li, Stephen A. Billings: Sensitivity and validity study of generalised frequency response functions. IJCAT 41(1/2): 48-52 (2011)

L. Z. Guo, S. A. Billings, Daniel Coca, Michael A. Balikhin: Bayesian identification of stochastic linear systems with observations at multiple scales. Int. J. Systems Science 42(8): 1363-1373 (2011)

Xing Jian Jing, Zi Qiang Lang, Stephen A. Billings: Nonlinear influence in the frequency domain: Alternating series. Systems & Control Letters 60(5): 295-309 (2011)

Yang Li, Hua-Liang Wei, Stephen A. Billings: Identification of Time-Varying Systems Using Multi-Wavelet Basis Functions. IEEE Trans. Contr. Sys. Techn. 19(3): 656-663 (2011)

Yuzhu Guo, Yifan Zhao, S. A. Billings, Daniel Coca, R. I. Ristic, L. Dematos: Identification of Excitable Media Using a Scalar Coupled Map Lattice Model. I. J. Bifurcation and Chaos 20(7): 2137-2150 (2010)

Ying Zheng, Yi Pan, Samuel Harris, Stephen A. Billings, Daniel Coca, Jason Berwick, Myles Jones, Aneurin J. Kennerley, David Johnston, Chris Martin, Ian M. Devonshire, John E. W. Mayhew: A dynamic model of neurovascular coupling: Implications for blood vessel dilation and constriction. NeuroImage 52(3): 1135-1147 (2010)

Hua-Liang Wei, Stephen A. Billings, Yifan Zhao, L. Z. Guo: An adaptive wavelet neural network for spatio-temporal system identification. Neural Networks 23(10): 1286-1299 (2010)

Otar Akanyeti, Iñaki Rañó, Ulrich Nehmzow, S. A. Billings: An application of Lyapunov stability analysis to improve the performance of NARMAX models. Robotics and Autonomous Systems 58(3): 229-238 (2010)

Ulrich Nehmzow, Otar Akanyeti, S. A. Billings: Towards modelling complex robot training tasks through system identification. Robotics and Autonomous Systems 58(3): 265-275 (2010)

Ulrich Nehmzow, Phillip J. McKerrow, Stephen A. Billings: Do Empirical Models of Robot-Environment Interaction Have a Meaning? SAB 2010: 25-37

Victor Olariu, Daniel Coca, Stephen A. Billings, Peter Tonge, Paul Gokhale, Peter W. Andrews, Visakan Kadirkamanathan: Modified variational Bayes EM estimation of hidden Markov tree model of cell lineages. Bioinformatics 25(21): 2824-2830 (2009)

Xing Jian Jing, Zi Qiang Lang, Stephen A. Billings: Frequency-Dependent Magnitude Bounds of the Generalized Frequency Response Functions for NARX Model. Eur. J. Control 15(1): 68-83 (2009)

Yifan Zhao, Stephen A. Billings, Daniel Coca, R. I. Ristic, L. Dematos: Identification of the Transition Rule in a Modified Cellular Automata Model: the Case of Dendritic Nh₄br Crystal Growth. I. J. Bifurcation and Chaos 19(7): 2295-2305 (2009)

L. Z. Guo, Stephen A. Billings, Daniel Coca: Identification of multiscale spatio-temporal dynamical systems using a wavelet multiresolution analysis. Int. J. Systems Science 40(11): 1115-1126 (2009)

Hua-Liang Wei, Ying Zheng, Yi Pan, Daniel Coca, Liang-Min Li, John E. W. Mayhew, Stephen A. Billings: Model Estimation of Cerebral Hemodynamics Between Blood Flow and Volume Changes: A Data-Based Modeling Approach. IEEE Trans. Biomed. Engineering 56(6): 1606-1616 (2009)

Bin Zhang, Stephen A. Billings, Zi Qiang Lang, Geoffrey R. Tomlinson: Analytical Description of the Frequency Response Function of the Generalized Higher Order Duffing Oscillator Model. IEEE Trans. on Circuits and Systems 56-I(1): 224-232 (2009)

Hua-Liang Wei, S. A. Billings, Yifan Zhao, Lingzhong Guo: Lattice Dynamical Wavelet Neural Networks Implemented Using Particle Swarm Optimization for Spatio-Temporal System Identification. IEEE Transactions on Neural Networks 20(1): 181-185 (2009)

Uwe Friederich, Daniel Coca, Stephen A. Billings, Mikko Juusola: Data Modelling for Analysis of Adaptive Changes in Fly Photoreceptors. ICONIP (1) 2009: 34-48

Zhuoyi Song, Daniel Coca, Stephen A. Billings, Marten Postma, Roger C. Hardie, Mikko Juusola: Biophysical Modeling of a Drosophila Photoreceptor. ICONIP (1) 2009: 57-71

Victor Olariu, Daniel Coca, Stephen A. Billings, Visakan Kadirkamanathan: Modelling Stem Cells Lineages with Markov Trees. PRIB 2009: 233-243

Xing Jian Jing, Zi Qiang Lang, Stephen A. Billings: Magnitude bounds of generalized frequency response functions for nonlinear Volterra systems described by NARX model. Automatica 44(3): 838-845 (2008)

Yifan Pan, Stephen A. Billings, Yifan Zhao: The Identification of Coupled Map Lattice Models for Autonomous Cellular Neural Network Patterns. I. J. Bifurcation and Chaos 18(4): 985-996 (2008)

Y. Pan, Stephen A. Billings: The Identification of Complex Spatiotemporal Patterns Using Coupled Map Lattice Models. I. J. Bifurcation and Chaos 18(4): 997-1013 (2008)

Yuzhu Guo, Stephen A. Billings, Daniel Coca: Identification of n-State Spatio-Temporal Dynamical Systems Using a Polynomial Model. I. J. Bifurcation and Chaos 18(7): 2049-2057 (2008)

Hua-Liang Wei, Stephen A. Billings: Generalized Cellular Neural Networks (Gcnns) Constructed Using Particle Swarm Optimization for Spatio-Temporal Evolutionary Pattern Identification. I. J. Bifurcation and Chaos 18(12): 3611-3624 (2008)

César Pichardo-Almarza, Rod Smallwood, S. A. Billings: Development of spatiotemporal validation methods of an agent-based model of epithelial cells: analysis of a colony of keratinocytes. I. J. Functional Informatics and Personalised Medicine 1(4): 335-354 (2008)

L. Z. Guo, Stephen A. Billings: Identification and analysis of spatio-temporal dynamical systems using wavelets. Int. J. Systems Science 39(3): 315-334 (2008)

Otar Akanyeti, Ulrich Nehmzow, Stephen A. Billings: Robot training using system identification. Robotics and Autonomous Systems 56(12): 1027-1041 (2008)

Roberto Iglesias, Ulrich Nehmzow, S. A. Billings: Model identification and model analysis in robot training. Robotics and Autonomous Systems 56(12): 1061-1067 (2008)

Theocharis Kyriacou, Ulrich Nehmzow, Roberto Iglesias, Stephen A. Billings: Accurate robot simulation through system identification. Robotics and Autonomous Systems 56(12): 1082-1093 (2008)

Y. Pan, Stephen A. Billings: Neighborhood Detection for the Identification of Spatiotemporal Systems. IEEE Transactions on Systems, Man, and Cybernetics, Part B 38(3): 846-854 (2008)

Otar Akanyeti, Ulrich Nehmzow, Stephen A. Billings: Complex robot training tasks through bootstrapping system identification. ROBIO 2008: 2168-2173

Zi Qiang Lang, Stephen A. Billings, R. Yue, J. Li: Output frequency response function of nonlinear Volterra systems. Automatica 43(5): 805-816 (2007)

Yifan Zhao, Stephen A. Billings, Alexander F. Routh: Identification of Excitable Media Using Cellular Automata Models. I. J. Bifurcation and Chaos 17(1): 153-168 (2007)

Yifan Zhao, Stephen A. Billings, Alexander F. Routh: Identification of the Belousov-zhabotinskii Reaction Using Cellular Automata Models. I. J. Bifurcation and Chaos 17(5): 1687-1701 (2007)

L. Z. Guo, Stephen A. Billings: Identification of Binary Cellular Automata from Spatio-Temporal Binary Patterns Using a Fourier Representation. I. J. Bifurcation and Chaos 17(6): 1985-1996 (2007)

Y. Pan, S. A. Billings: Model Validation of Spatiotemporal Systems Using Correlation Function Tests. I. J. Bifurcation and Chaos 17(12): 4323-4335 (2007)

L. Z. Guo, S. S. Mei, S. A. Billings: Neighbourhood detection and identification of spatio-temporal dynamical systems using a coarse-to-fine approach. Int. J. Systems Science 38(1): 1-15 (2007)

Yifan Zhao, Stephen A. Billings: The Identification of Cellular Automata. J. Cellular Automata 2(1): 47-65 (2007)

Stephen A. Billings, Hua-Liang Wei, Michael A. Balikhin: Generalized multiscale radial basis function networks. Neural Networks 20(10): 1081-1094 (2007)

Hua-Liang Wei, Stephen A. Billings: Feature Subset Selection and Ranking for Data Dimensionality Reduction. IEEE Trans. Pattern Anal. Mach. Intell. 29(1): 162-166 (2007)

Roberto Iglesias, Theocharis Kyriacou, Ulrich Nehmzow, S. A. Billings: Task identification and characterisation in mobile robotics through non-linear modelling. Robotics and Autonomous Systems 55(4): 267-275 (2007)

Otar Akanyeti, Theocharis Kyriacou, Ulrich Nehmzow, Roberto Iglesias, S. A. Billings: Visual task identification and characterization using polynomial models. Robotics and Autonomous Systems 55(9): 711-719 (2007)

Lingzhong Guo, Stephen A. Billings: State-Space Reconstruction and Spatio-Temporal Prediction of Lattice Dynamical Systems. IEEE Trans. Automat. Contr. 52(4): 622-632 (2007)

Jing Yang, Sarawan Wongsa, Visakan Kadirkamanathan, Stephen A. Billings, Phillip C. Wright: Metabolic Flux Estimation-A Self-Adaptive Evolutionary Algorithm with Singular Value Decomposition. IEEE/ACM Trans. Comput. Biology Bioinform. 4(1): 126-138 (2007)

Stephen A. Billings, Hua-Liang Wei: Sparse Model Identification Using a Forward Orthogonal Regression Algorithm Aided by Mutual Information. IEEE Transactions on Neural Networks 18(1): 306-310 (2007)

Xiaofeng Wu, Zi Qiang Lang, S. A. Billings: Analysis of Output Frequencies of Nonlinear Systems. IEEE Transactions on Signal Processing 55(7-1): 3239-3246 (2007)

César Pichardo-Almarza, Rod Smallwood, S. A. Billings: Spatiotemporal Analysis of an Agent-Based Model of a Colony of Keratinocytes: A First Approach for the Development of Validation Methods. BIBE 2007: 1173-1177

Jing Yang, Visakan Kadirkamanathan, Stephen A. Billings: In vivo Intracellular Metabolite Dynamics Estimation by Sequential Monte Carlo Filter. CIBCB 2007: 387-394

Sarawan Wongsa, Visakan Kadirkamanathan, Stephen A. Billings, Phillip C. Wright: Metabolic Flux Estimation from Incomplete Labelling Measurements Using the Expectation/Conditional-Maximisation Algorithm. CIBCB 2007: 410-417

Otar Akanyeti, Ulrich Nehmzow, C. Weinrich, Theocharis Kyriacou, Stephen A. Billings: Programming Mobile Robots by Demonstration through System Identification. EMCR 2007

Xiaofeng Wu, Zi Qiang Lang, Stephen A. Billings: Output Frequencies of Nonlinear Systems Under A General Input. ICNSC 2007: 668-673

Ulrich Nehmzow, Otar Akanyeti, C. Weinrich, Theocharis Kyriacou, Stephen A. Billings: Robot programming by demonstration through system identification. IROS 2007: 801-806

Visakan Kadirkamanathan, Jing Yang, Stephen A. Billings, Phillip C. Wright: Markov Chain Monte Carlo Algorithm based metabolic flux distribution analysis on Corynebacterium glutamicum. Bioinformatics 22(21): 2681-2687 (2006)

Stephen A. Billings, L. Z. Guo, Hua-Liang Wei: Identification of coupled map lattice models for spatio-temporal patterns using wavelets. Int. J. Systems Science 37(14): 1021-1038 (2006)

Hua-Liang Wei, Stephen A. Billings, Michael A. Balikhin: Wavelet based non-parametric NARX models for nonlinear input-output system identification. Int. J. Systems Science 37(15): 1089-1096 (2006)

Ulrich Nehmzow, Roberto Iglesias, Theocharis Kyriacou, Stephen A. Billings: Robot learning through task identification. Robotics and Autonomous Systems 54(9): 766-778 (2006)

M. A. Chadwick, Visakan Kadirkamanathan, S. A. Billings: Analysis of fast-sampled non-linear systems: Generalised frequency response functions for delta-operator models. Signal Processing 86(11): 3246-3257 (2006)

Yifan Zhao, Stephen A. Billings: Neighborhood Detection Using Mutual Information for the Identification of Cellular Automata. IEEE Transactions on Systems, Man, and Cybernetics, Part B 36(2): 473-479 (2006)

Ulrich Nehmzow, Otar Akanyeti, Roberto Iglesias, Theocharis Kyriacou, Stephen A. Billings: Comparing Robot Controllers Through System Identification. SAB 2006: 843-854

S. S. Mei, Stephen A. Billings, L. Z. Guo: A Neighborhood Selection Method for Cellular Automata Models. I. J. Bifurcation and Chaos 15(2): 383-393 (2005)

L. Z. Guo, S. A. Billings: A Comparison of Polynomial and Wavelet Expansions for the Identification of Chaotic Coupled Map Lattices. I. J. Bifurcation and Chaos 15(9): 2927-2938 (2005)

Stephen A. Billings, Hua-Liang Wei: The Wavelet-narmax Representation: a Hybrid Model Structure Combining Polynomial Models with Multiresolution Wavelet Decompositions. Int. J. Systems Science 36(3): 137-152 (2005)

S. A. Billings, S. S. Mei: A new fast cellular automata orthogonal least-squares identification method. Int. J. Systems Science 36(8): 491-499 (2005)

Stephen A. Billings, Hua-Liang Wei: A new class of wavelet networks for nonlinear system identification. IEEE Transactions on Neural Networks 16(4): 862-874 (2005)

Roberto Iglesias, Ulrich Nehmzow, Theocharis Kyriacou, Stephen A. Billings: Training and Analysis of Mobile Robot Behaviour Through System Identification. CAEPIA 2005: 470-479

Jing Yang, Sarawan Wongsa, Visakan Kadirkamanathan, Stephen A. Billings, Phillip C. Wright: Differential Evolution and Its Application to Metabolic Flux Analysis. EvoWorkshops 2005: 115-124

Stephen A. Billings, Kian L. Lee: A Smoothing Algorithm for Nonlinear Time Series. I. J. Bifurcation and Chaos 14(3): 1037-1051 (2004)

Hua-Liang Wei, Stephen A. Billings: Identification and reconstruction of chaotic systems using multiresolution wavelet decompositions. Int. J. Systems Science 35(9): 511-526 (2004)

Jing Yang, Sarawan Wongsa, Visakan Kadirkamanathan, Stephen A. Billings, Phillip C. Wright: Self-adaptive evolutionary algorithm based methods for quantification in metabolic systems. CIBCB 2004: 260-267

S. A. Billings, Yingxu Yang: Identification of probabilistic cellular automata. IEEE Transactions on Systems, Man, and Cybernetics, Part B 33(2): 225-236 (2003)

S. A. Billings, Yingxu Yang: Identification of the neighborhood and CA rules from spatio-temporal CA patterns. IEEE Transactions on Systems, Man, and Cybernetics, Part B 33(2): 332-339 (2003)

Daniel Coca, Stephen A. Billings: Identification of finite dimensional models of infinite dimensional dynamical systems. Automatica 38(11): 1851-1865 (2002)

Guang L. Zheng, Stephen A. Billings: of overparametrization in non-linear system identification and neural networks. Int. J. Systems Science 33(5): 331-349 (2002)

S. A. Billings, Daniel Coca: Identification of coupled map lattice models of deterministic distributed parameter systems. Int. J. Systems Science 33(8): 623-634 (2002)

Kian L. Lee, Stephen A. Billings: Time series prediction using support vector machines, the orthogonal and the regularized orthogonal least-squares algorithms. Int. J. Systems Science 33(10): 811-821 (2002)

Stephen A. Billings, Kian L. Lee: Nonlinear Fisher discriminant analysis using a minimum squared error cost function and the orthogonal least squares algorithm. Neural Networks 15(1): 263-270 (2002)

Liang-Min Li, Stephen A. Billings: Continuous-time system identification using shifted Chebyshev polynomials. Int. J. Systems Science 32(3): 303-306 (2001)

E. M. A. M. Mendez, S. A. Billings: An alternative solution to the model structure selection problem. IEEE Transactions on Systems, Man, and Cybernetics, Part A 31(6): 597-608 (2001)

Daniel Coca, Stephen A. Billings: Direct parameter identification of distributed parameter systems. Int. J. Systems Science 31(1): 11-17 (2000)

Guoping Liu, Stephen A. Billings, Visakan Kadirkamanathan: Nonlinear system identification using wavelet networks. Int. J. Systems Science 31(12): 1531-1541 (2000)

Yingxu Yang, S. A. Billings: Extracting Boolean rules from CA patterns. IEEE Transactions on Systems, Man, and Cybernetics, Part B 30(4): 573-580 (2000)

Yingxu Yang, S. A. Billings: Neighborhood detection and rule selection from cellular automata patterns. IEEE Transactions on Systems, Man, and Cybernetics, Part A 30(6): 840-847 (2000)

K. Z. Mao, S. A. Billings, Q. M. Zhu: A regularized rational model estimation algorithm. Int. J. Systems Science 30(5): 455-465 (1999)

Guoping Liu, Visakan Kadirkamanathan, Stephen A. Billings: Neural network-based variable structure control for nonlinear discrete systems. Int. J. Systems Science 30(10): 1153-1160 (1999)

Guoping Liu, Visakan Kadirkamanathan, Stephen A. Billings: Variable neural networks for adaptive control of nonlinear systems. IEEE Transactions on Systems, Man, and Cybernetics, Part C 29(1): 34-43 (1999)

S. A. Billings, K. Z. Mao: Structure detection for nonlinear rational models using genetic algorithms. Int. J. Systems Science 29(3): 223-231 (1998)

Stephen A. Billings, Xia Hong: Dual-orthogonal radial basis function networks for nonlinear time series prediction. Neural Networks 11(3): 479-493 (1998)

Guoping Liu, Visakan Kadirkamanathan, Stephen A. Billings: On-line identification of nonlinear systems using Volterra polynomial basis function neural networks. Neural Networks 11(9): 1645-1657 (1998)

Chi F. Fung, Stephen A. Billings, Wan Luo: On-line Supervised Adaptive Training Using Radial Basis Function Networks. Neural Networks 9(9): 1597-1617 (1996)

Guang L. Zheng, Stephen A. Billings: Radial Basis Function Network Configuration Using Mutual Information and the Orthogonal Least Squares Algorithm. Neural Networks 9(9): 1619-1637 (1996)

Stephen A. Billings, Chi F. Fling: Recurrent radial basis function networks for adaptive noise cancellation. Neural Networks 8(2): 273-290 (1995)

Stephen A. Billings, Guang L. Zheng: Radial basis function network configuration using genetic algorithms. Neural Networks 8(6): 877-890 (1995)

G. J. Ellwood, Ying Zheng, Stephen A. Billings, John E. W. Mayhew, John P. Frisby: Ground Plane Motion Parameter Estimation for Non-circular Paths. BMVC 1992: 1-10

John E. W. Mayhew, Ying Zheng, Stephen A. Billings: Layered Architecture for the Control of Micro Saccadic Tracking of a Stereo Camera Head. BMVC 1992: 1-10

Ying Zheng, David G. Jones, S. A. Billings, John E. W. Mayhew, John P. Frisby: SWITCHER: a stereo algorithm for ground plane obstacle detection. Image Vision Comput. 8(1): 57-62 (1990)

Ying Zheng, David G. Jones, Stephen A. Billings, John E. W. Mayhew, John P. Frisby: SWITCHER: A Stereo Algorithm for Ground Plane Obstacle Detection. Alvey Vision Conference 1989: 1-6

D. J. Batey, M. J. H. Sterling, D. J. Antcliffe, S. A. Billings: The design and implementation of an interactive data analysis package for a process computer. Computer-Aided Design 7(4): 265-269 (1975)