Hierarchical mixtures of experts and the EM algorithm
Neural Computation
A Hierarchical Latent Variable Model for Data Visualization
IEEE Transactions on Pattern Analysis and Machine Intelligence
Soft vector quantization and the EM algorithm
Neural Networks
Multicategory Classification by Support Vector Machines
Computational Optimization and Applications - Special issue on computational optimization—a tribute to Olvi Mangasarian, part I
Statistical Pattern Recognition: A Review
IEEE Transactions on Pattern Analysis and Machine Intelligence
Introduction to Hybrid Dynamical Systems
Introduction to Hybrid Dynamical Systems
The MIN PFS problem and piecewise linear model estimation
Discrete Applied Mathematics - Special issue: Third ALIO-EURO meeting on applied combinatorial optimization
Non-convex clustering using expectation maximization algorithm with rough set initialization
Pattern Recognition Letters - Special issue: Rough sets, pattern recognition and data mining
Piecewise Linear Control Systems
Piecewise Linear Control Systems
A greedy approach to identification of piecewise affine models
HSCC'03 Proceedings of the 6th international conference on Hybrid systems: computation and control
Conditions of optimal classification for piecewise affine regression
HSCC'03 Proceedings of the 6th international conference on Hybrid systems: computation and control
Paper: Modeling by shortest data description
Automatica (Journal of IFAC)
Brief Equivalence of hybrid dynamical models
Automatica (Journal of IFAC)
A clustering technique for the identification of piecewise affine systems
Automatica (Journal of IFAC)
Identification of piecewise affine systems via mixed-integer programming
Automatica (Journal of IFAC)
Recursive identification of switched ARX systems
Automatica (Journal of IFAC)
Algebraic Identification of MIMO SARX Models
HSCC '08 Proceedings of the 11th international workshop on Hybrid Systems: Computation and Control
Identifiability of discrete-time linear switched systems
Proceedings of the 13th ACM international conference on Hybrid systems: computation and control
Brief paper: A continuous optimization framework for hybrid system identification
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Employing correlation clustering for the identification of piecewise affine models
Proceedings of the 2011 workshop on Knowledge discovery, modeling and simulation
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Identification of switched linear regression models using sum-of-norms regularization
Automatica (Journal of IFAC)
An experimental validation of a novel clustering approach to PWARX identification
Engineering Applications of Artificial Intelligence
Hybrid-fuzzy modeling and identification
Applied Soft Computing
Hi-index | 22.16 |
This paper is concerned with the identification of a class of piecewise affine systems called a piecewise affine autoregressive exogenous (PWARX) model. The PWARX model is composed of ARX sub-models each of which corresponds to a polyhedral region of the regression space. Under the temporary assumption that the number of sub-models is known a priori, the input-output data are collected into several clusters by using a statistical clustering algorithm. We utilize support vector classifiers to estimate the boundary hyperplane between two adjacent regions in the regression space. In each cluster, the parameter vector of the sub-model is obtained by the least squares method. It turns out that the present statistical clustering approach enables us to estimate the number of sub-models based on the information criteria such as CAIC and MDL. The estimate of the number of sub-models is performed by applying the identification procedure several times to the same data set, after having fixed the number of sub-models to different values. Finally, we verify the applicability of the present identification method through a numerical example of a Hammerstein model.