Neighborhood linear discriminant analysis

F Zhu, J Gao, J Yang, N Ye - Pattern Recognition, 2022 - Elsevier
Abstract Linear Discriminant Analysis (LDA) assumes that all samples from the same class
are independently and identically distributed (iid). LDA may fail in the cases where the …

From classifiers to discriminators: A nearest neighbor rule induced discriminant analysis

J Yang, L Zhang, J Yang, D Zhang - Pattern recognition, 2011 - Elsevier
The current discriminant analysis method design is generally independent of classifiers, thus
the connection between discriminant analysis methods and classifiers is loose. This paper …

[PDF][PDF] Characterization of a family of algorithms for generalized discriminant analysis on undersampled problems.

J Ye, B Yu - Journal of Machine Learning Research, 2005 - jmlr.org
A generalized discriminant analysis based on a new optimization criterion is presented. The
criterion extends the optimization criteria of the classical Linear Discriminant Analysis (LDA) …

Subclass discriminant analysis

M Zhu, AM Martinez - IEEE transactions on pattern analysis …, 2006 - ieeexplore.ieee.org
Over the years, many discriminant analysis (DA) algorithms have been proposed for the
study of high-dimensional data in a large variety of problems. Each of these algorithms is …

Generalized discriminant analysis: A matrix exponential approach

T Zhang, B Fang, YY Tang, Z Shang… - IEEE Transactions on …, 2009 - ieeexplore.ieee.org
Linear discriminant analysis (LDA) is well known as a powerful tool for discriminant analysis.
In the case of a small training data set, however, it cannot directly be applied to high …

Nonparametric discriminant analysis

K Fukunaga, JM Mantock - IEEE Transactions on Pattern …, 1983 - ieeexplore.ieee.org
A nonparametric method of discriminant analysis is proposed. It is based on nonparametric
extensions of commonly used scatter matrices. Two advantages result from the use of the …

Linear discriminant analysis based on L1-norm maximization

F Zhong, J Zhang - IEEE Transactions on Image Processing, 2013 - ieeexplore.ieee.org
Linear discriminant analysis (LDA) is a well-known dimensionality reduction technique,
which is widely used for many purposes. However, conventional LDA is sensitive to outliers …

Local linear discriminant analysis framework using sample neighbors

Z Fan, Y Xu, D Zhang - IEEE Transactions on Neural Networks, 2011 - ieeexplore.ieee.org
The linear discriminant analysis (LDA) is a very popular linear feature extraction approach.
The algorithms of LDA usually perform well under the following two assumptions. The first …

Generalizing discriminant analysis using the generalized singular value decomposition

P Howland, H Park - IEEE transactions on pattern analysis and …, 2004 - ieeexplore.ieee.org
Discriminant analysis has been used for decades to extract features that preserve class
separability. It is commonly defined as an optimization problem involving covariance …

[PDF][PDF] Locality sensitive discriminant analysis.

D Cai, X He, K Zhou, J Han, H Bao - IJCAI, 2007 - Citeseer
Abstract Linear Discriminant Analysis (LDA) is a popular data-analytic tool for studying the
class relationship between data points. A major disadvantage of LDA is that it fails to …