Introduction to statistical pattern recognition (2nd ed.)
Introduction to statistical pattern recognition (2nd ed.)
Using Discriminant Eigenfeatures for Image Retrieval
IEEE Transactions on Pattern Analysis and Machine Intelligence
Eigenfaces vs. Fisherfaces: Recognition Using Class Specific Linear Projection
IEEE Transactions on Pattern Analysis and Machine Intelligence
Pattern Classification (2nd Edition)
Pattern Classification (2nd Edition)
SIAM Journal on Matrix Analysis and Applications
Discriminant Analysis: A Unified Approach
ICDM '05 Proceedings of the Fifth IEEE International Conference on Data Mining
Computational and Theoretical Analysis of Null Space and Orthogonal Linear Discriminant Analysis
The Journal of Machine Learning Research
Manifold Regularization: A Geometric Framework for Learning from Labeled and Unlabeled Examples
The Journal of Machine Learning Research
SRDA: An Efficient Algorithm for Large-Scale Discriminant Analysis
IEEE Transactions on Knowledge and Data Engineering
A unified framework for semi-supervised dimensionality reduction
Pattern Recognition
A least squares formulation for canonical correlation analysis
Proceedings of the 25th international conference on Machine learning
Multi-class Discriminant Kernel Learning via Convex Programming
The Journal of Machine Learning Research
Hypergraph spectral learning for multi-label classification
Proceedings of the 14th ACM SIGKDD international conference on Knowledge discovery and data mining
Semi-supervised Discriminant Analysis Via CCCP
ECML PKDD '08 Proceedings of the European conference on Machine Learning and Knowledge Discovery in Databases - Part II
A least squares formulation for a class of generalized eigenvalue problems in machine learning
ICML '09 Proceedings of the 26th Annual International Conference on Machine Learning
A Flexible and Efficient Algorithm for Regularized Fisher Discriminant Analysis
ECML PKDD '09 Proceedings of the European Conference on Machine Learning and Knowledge Discovery in Databases: Part II
Interactive natural image segmentation via spline regression
IEEE Transactions on Image Processing
IJCAI'09 Proceedings of the 21st international jont conference on Artifical intelligence
Multiclass probabilistic kernel discriminant analysis
IJCAI'09 Proceedings of the 21st international jont conference on Artifical intelligence
Robust Discriminant Analysis Based on Nonparametric Maximum Entropy
ACML '09 Proceedings of the 1st Asian Conference on Machine Learning: Advances in Machine Learning
A new and fast implementation for null space based linear discriminant analysis
Pattern Recognition
CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
Biased discriminant euclidean embedding for content-based image retrieval
IEEE Transactions on Image Processing
Entropy controlled Laplacian regularization for least square regression
Signal Processing
A shared-subspace learning framework for multi-label classification
ACM Transactions on Knowledge Discovery from Data (TKDD)
Biologically inspired feature manifold for scene classification
IEEE Transactions on Image Processing
Regularized Discriminant Analysis, Ridge Regression and Beyond
The Journal of Machine Learning Research
Using SVM based method for equipment fault detection in a thermal power plant
Computers in Industry
Manifold elastic net: a unified framework for sparse dimension reduction
Data Mining and Knowledge Discovery
Linear discriminant dimensionality reduction
ECML PKDD'11 Proceedings of the 2011 European conference on Machine learning and knowledge discovery in databases - Volume Part I
Least squares online linear discriminant analysis
Expert Systems with Applications: An International Journal
Orthogonal vs. uncorrelated least squares discriminant analysis for feature extraction
Pattern Recognition Letters
Feature extraction using a fast null space based linear discriminant analysis algorithm
Information Sciences: an International Journal
Empirical discriminative tensor analysis for crime forecasting
KSEM'11 Proceedings of the 5th international conference on Knowledge Science, Engineering and Management
Massively parallel feature selection: an approach based on variance preservation
ECML PKDD'12 Proceedings of the 2012 European conference on Machine Learning and Knowledge Discovery in Databases - Volume Part I
Fusion of local features for face recognition by multiple least square solutions
CCBR'12 Proceedings of the 7th Chinese conference on Biometric Recognition
On the equivalent of low-rank linear regressions and linear discriminant analysis based regressions
Proceedings of the 19th ACM SIGKDD international conference on Knowledge discovery and data mining
Robust spectral regression for face recognition
Neurocomputing
A Rayleigh-Ritz style method for large-scale discriminant analysis
Pattern Recognition
| Hi-index | 0.00 |
Linear Discriminant Analysis (LDA) is a well-known method for dimensionality reduction and classification. LDA in the binaryclass case has been shown to be equivalent to linear regression with the class label as the output. This implies that LDA for binary-class classifications can be formulated as a least squares problem. Previous studies have shown certain relationship between multivariate linear regression and LDA for the multi-class case. Many of these studies show that multivariate linear regression with a specific class indicator matrix as the output can be applied as a preprocessing step for LDA. However, directly casting LDA as a least squares problem is challenging for the multi-class case. In this paper, a novel formulation for multivariate linear regression is proposed. The equivalence relationship between the proposed least squares formulation and LDA for multi-class classifications is rigorously established under a mild condition, which is shown empirically to hold in many applications involving high-dimensional data. Several LDA extensions based on the equivalence relationship are discussed.