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The proposed SLDML aims to explore both geometric structure and discriminant information of the data, and yields a smooth and discriminative low-dimensional embedding by adding the local discriminant terms in the optimization objectives of manifold learning.
J. S. Fu et al. [19] extract the between-class discriminant information and among-class discriminant information for improving the classification performance.
Aiming to explore the discriminant information among unlabeled samples, joint k nearest neighbor selection strategy is proposed to select pseudo-labeled samples which contain some precise discriminant information.
However, throwing the dimensionalities corresponding to zero eigenvalue may lose important discriminant information [26].
Thus, SVDP could better preserve the discriminant information of the data.
However, the original NMF lacks of extracting the discriminant information of the data for the image classification task.
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It is because the low-resolution image contains insufficient high-frequency components containing the discriminative information for discriminant analysis.
In this paper, we propose the regularized discriminant entropy (RDE) which considers both class information and scatter information on original data.
For these models, it is assumed that class distributions with equal mean and variance across all classes do not contain discriminant classification information.
In this paper, we investigate and compare the following: local rotation invariance, global rotation invariance, including rotations in the training data, and the effect of the different interpolation methods when rotating textures, in the setting of retaining discriminant texture information.
Existing methods, e.g., Information Discriminant Analysis (IDA), estimate the first and second order statistics of the data in the original high-dimensional space, and then design the transformation matrix based on the information-theoretic criteria.
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