Nonlinear component analysis as a kernel eigenvalue problem
Neural Computation
Kernel principal component analysis
Advances in kernel methods
Prior knowledge in support vector kernels
NIPS '97 Proceedings of the 1997 conference on Advances in neural information processing systems 10
Proximal support vector machine classifiers
Proceedings of the seventh ACM SIGKDD international conference on Knowledge discovery and data mining
Machine Learning
A Tutorial on Support Vector Machines for Pattern Recognition
Data Mining and Knowledge Discovery
Text Categorization with Suport Vector Machines: Learning with Many Relevant Features
ECML '98 Proceedings of the 10th European Conference on Machine Learning
Comparison of View-Based Object Recognition Algorithms Using Realistic 3D Models
ICANN 96 Proceedings of the 1996 International Conference on Artificial Neural Networks
Training Support Vector Machines: an Application to Face Detection
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
Efficient multi-way text categorization via generalized discriminant analysis
CIKM '03 Proceedings of the twelfth international conference on Information and knowledge management
Object Tracking Using Incremental Fisher Discriminant Analysis
ICPR '04 Proceedings of the Pattern Recognition, 17th International Conference on (ICPR'04) Volume 2 - Volume 02
Graph Embedding: A General Framework for Dimensionality Reduction
CVPR '05 Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) - Volume 2 - Volume 02
Local Discriminant Embedding and Its Variants
CVPR '05 Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) - Volume 2 - Volume 02
Multisurface Proximal Support Vector Machine Classification via Generalized Eigenvalues
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Parallel Classification Method for Genomic and Proteomic Problems
AINA '06 Proceedings of the 20th International Conference on Advanced Information Networking and Applications - Volume 02
Data Fusion and Multicue Data Matching by Diffusion Maps
IEEE Transactions on Pattern Analysis and Machine Intelligence
Optimising Kernel Parameters and Regularisation Coefficients for Non-linear Discriminant Analysis
The Journal of Machine Learning Research
Incremental Classification with Generalized Eigenvalues
Journal of Classification
A classification method based on generalized eigenvalue problems
Optimization Methods & Software - Systems Analysis, Optimization and Data Mining in Biomedicine
IJCAI'05 Proceedings of the 19th international joint conference on Artificial intelligence
Unsupervised learning of image manifolds by semidefinite programming
CVPR'04 Proceedings of the 2004 IEEE computer society conference on Computer vision and pattern recognition
Handwritten digit recognition with nonlinear fisher discriminant analysis
ICANN'05 Proceedings of the 15th international conference on Artificial neural networks: formal models and their applications - Volume Part II
A kernel autoassociator approach to pattern classification
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Nearest neighbor pattern classification
IEEE Transactions on Information Theory
A shape- and texture-based enhanced Fisher classifier for face recognition
IEEE Transactions on Image Processing
Multilinear Discriminant Analysis for Face Recognition
IEEE Transactions on Image Processing
An introduction to kernel-based learning algorithms
IEEE Transactions on Neural Networks
Enhanced FMAM based on empirical kernel map
IEEE Transactions on Neural Networks
Fuzzy hyper-prototype clustering
KES'10 Proceedings of the 14th international conference on Knowledge-based and intelligent information and engineering systems: Part I
Localized twin SVM via convex minimization
Neurocomputing
Distance difference and linear programming nonparallel plane classifier
Expert Systems with Applications: An International Journal
A spatially constrained fuzzy hyper-prototype clustering algorithm
Pattern Recognition
FHC: The fuzzy hyper-prototype clustering algorithm
International Journal of Knowledge-based and Intelligent Engineering Systems - Intelligent Information Processing: Techniques and Applications
Hi-index | 0.02 |
Instead of standard support vector machines (SVMs) that classify points to one of two disjoint half-spaces by solving a quadratic program, the plane classifier GEPSVM (proximal SVM classification via generalized eigenvalues) classifies points by assigning them to the closest of two nonparallel planes which are generated by their corresponding generalized eigenvalue problems. A simple geometric interpretation of GEPSVM is that each plane is closest to the points of its own class and furthest to the points of the other class. Analysis and experiments have demonstrated its capability in both computation time and test correctness. In this paper, following the geometric intuition of GEPSVM, a new supervised learning method called proximal support vector machine using local information (LIPSVM) is proposed. With the introduction of proximity information (consideration of underlying information such as correlation or similarity between points) between the training points, LIPSVM not only keeps aforementioned characteristics of GEPSVM, but also has its additional advantages: (1) robustness to outliers; (2) each plane is generated from its corresponding standard rather than generalized eigenvalue problem to avoid matrix singularity; (3) comparable classification ability to the eigenvalue-based classifiers GEPSVM and LDA. Furthermore, the idea of LIPSVM can be easily extended to other classifiers, such as LDA. Finally, some experiments on the artificial and benchmark datasets show the effectiveness of LIPSVM.