Nonlinear kernel-based statistical pattern analysis
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Summary
The Kernel version of Mahalanobis distance is introduced, which originates nonparametric models with unexpected and interesting properties, and a kernel version of the minimum squared error (MSE) linear discriminant function is proposed.
- Type
- dissertation
- Published
- 2001-01-01
- Cited by
- 212
- References
- 48
- Access
- Open access
- OpenAlex
- https://openalex.org/W18244360
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:8803997
Keywords
Center (category theory), Geography
References
- Radial Basis Functions, Multi-Variable Functional Interpolation and Adaptive Networks
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- The Mathematical Foundations of Learning Machines
- Regularization Theory and Neural Networks Architectures
- Kernel-Based Equiprobabilistic Topographic Map Formation
- On a Kernel-Based Method for Pattern Recognition, Regression, Approximation, and Operator Inversion
- The connection between regularization operators and support vector kernels
- Software Libraries for Linear Algebra Computations on High Performance Computers
- Some results on Tchebycheffian spline functions
- A Comparison of Cross-Validation Techniques in Density Estimation
- Nonlinear optimization: complexity issues
- LOQO:an interior point code for quadratic programming
- Pattern classification and scene analysis
- UCI Repository of machine learning databases
- A training algorithm for optimal margin classifiers
- Input space versus feature space in kernel-based methods
- On Estimation of a Probability Density Function and Mode
- Support Vector Machines for 3D Object Recognition
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- SVD and its Application to Generalized Eigenvalue Problems
- A methodology for spatial and time series data mining and its applications
- Métrologie des réseaux sans-fil: A la frontière du signal et du numérique. (Metrology of wireless networks: At the signal and the digital frontier)
- Kernel-based distance metric learning for microarray data classification
- Designing Model Based Classifiers by Emphasizing Soft Targets
- Fisher discriminant analysis based on kernel cuboid for face recognition
- Complete Kernel Fisher discriminant analysis of Gabor features with fractional power polynomial models for face recognition
- A kernel fuzzy classifier with ellipsoidal regions
- Kernel-based nonlinear feature extractor and its application in electronic circuit fault diagnosis
- Non linear support vector machine based partial discharge patterns recognition using fractal features
- Twin Mahalanobis distance-based support vector machines for pattern recognition
- Dual-kernel based 2D linear discriminant analysis for face recognition
- Kernel-Based Anomaly Detection in Hyperspectral Imagery
- Kernel-Based 2D Fisher Discriminant Analysis with parameter Optimization for Face Recognition
- An MRF-based kernel method for nonlinear feature extraction
- Fast Fuzzy Modeling Using a New Incremental SVR
- Kernel enhanced multilayer perceptron for industrial process diagnosis
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