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Let A φ denotes a n ' × m φ -dimensional transformation matrix, namely orthogonal kernel maximum margin projection subspace; then, φ(x ij ) is projected into m φ dimensional space as follow {mathbf{y}}_{ij}^{varphi }={mathbf{A}}_{varphi}^Tvarphi left({mathbf{x}}_{ij}right) (19).
To address this issue, a novel semi-supervised learning method for dimensionality reduction, namely kernel maximum margin projection (KMMP) is proposed in this paper based on our previous work of maximum margin projection (MMP).
orthogonal maximum margin projection subspace.
orthogonal kernel maximum margin projection subspace.
The kernel version, called as orthogonal kernel maximum margin projection subspace (OKMMPS), is also derived.
In this paper, we propose a novel radar target recognition method using HRRP, namely orthogonal maximum margin projection subspace (OMMPS).
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Zhao et al. [53] proposed an improved iterative trace ratio (iITR) algorithm to solve the trace ratio linear discriminant analysis (TR-LDA) problem for dementia diagnosis and achieved better performance than the principal component analysis (PCA), locality preserving projections (LPP), and maximum margin criterion (MMC).
Therefore, this paper proposes a novel Tensor-based Locally Maximum Margin Classifier (TLMMC), which avoids the kernel projection with unclear physical meaning.
Liu et al. proposed a neighborhood preserving ordinal regression method that tries to extract multiple projection directions from the original dataset according to maximum margin and manifold preserving criteria [25].
In practice, there exist three corresponding well-known models, including the Locality Preserving Projection (LPP), the Linear Discriminant Analysis (LDA), and the Maximum Margin Criterion (MMC).
Besides, MMC obtains the projection subspace using the eigenvectors corresponding to the first largest eigenvalues of matrix (S B − S w), and thus, the projection vectors of MMC are not optimal in meaning of maximum margin.
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