Introduction to statistical pattern recognition (2nd ed.)
Introduction to statistical pattern recognition (2nd ed.)
An introduction to symbolic dynamics and coding
An introduction to symbolic dynamics and coding
Feature Extraction From Wavelet Coefficients for Pattern Recognition Tasks
IEEE Transactions on Pattern Analysis and Machine Intelligence
Independent component analysis: theory and applications
Independent component analysis: theory and applications
Continuous wavelet transform with arbitrary scales and O(N) complexity
Signal Processing
Pattern Discovery by Residual Analysis and Recursive Partitioning
IEEE Transactions on Knowledge and Data Engineering
A Maximum Variance Cluster Algorithm
IEEE Transactions on Pattern Analysis and Machine Intelligence
Pattern Classification (2nd Edition)
Pattern Classification (2nd Edition)
Symbolic dynamic analysis of complex systems for anomaly detection
Signal Processing
Pattern Recognition and Machine Learning (Information Science and Statistics)
Pattern Recognition and Machine Learning (Information Science and Statistics)
Symbolic time series analysis via wavelet-based partitioning
Signal Processing - Special section: Distributed source coding
A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way
A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way
A time series representation model for accurate and fast similarity detection
Pattern Recognition
Clustering of time series data-a survey
Pattern Recognition
Nearest neighbor pattern classification
IEEE Transactions on Information Theory
Optimization of symbolic feature extraction for pattern classification
Signal Processing
Vector space formulation of probabilistic finite state automata
Journal of Computer and System Sciences
Adaptive pattern classification for symbolic dynamic systems
Signal Processing
Texture analysis and classification: A complex network-based approach
Information Sciences: an International Journal
Texture analysis and classification using shortest paths in graphs
Pattern Recognition Letters
A Simplified Gravitational Model for Texture Analysis
Journal of Mathematical Imaging and Vision
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Real-time data-driven pattern classification requires extraction of relevant features from the observed time series as low-dimensional and yet information-rich representations of the underlying dynamics. These low-dimensional features facilitate in situ decision-making in diverse applications, such as computer vision, structural health monitoring, and robotics. Wavelet transforms of time series have been widely used for feature extraction owing to their time-frequency localization properties. In this regard, this paper presents a symbolic dynamics-based method to model surface images, generated by wavelet coefficients in the scale-shift space. These symbolic dynamics-based models (e.g., probabilistic finite state automata (PFSA)) capture the relevant information, embedded in the sensor data, from the associated Perron-Frobenius operators (i.e., the state-transition probability matrices). The proposed method of pattern classification has been experimentally validated on laboratory apparatuses for two different applications: (i) early detection of evolving damage in polycrystalline alloy structures, and (ii) classification of mobile robots and their motion profiles.