Orthogonal local spline discriminant projection with application to face recognition
Pattern Recognition Letters
Incremental manifold learning by spectral embedding methods
Pattern Recognition Letters
Dimensionality reduction by Mixed Kernel Canonical Correlation Analysis
Pattern Recognition
Discriminant sparse neighborhood preserving embedding for face recognition
Pattern Recognition
Self-taught dimensionality reduction on the high-dimensional small-sized data
Pattern Recognition
Image classification with manifold learning for out-of-sample data
Signal Processing
Adaptive loss minimization for semi-supervised elastic embedding
IJCAI'13 Proceedings of the Twenty-Third international joint conference on Artificial Intelligence
Orthogonal locally discriminant spline embedding for plant leaf recognition
Computer Vision and Image Understanding
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This paper presents a new algorithm for Nonlinear Dimensionality Reduction (NLDR). Our algorithm is developed under the conceptual framework of compatible mapping. Each such mapping is a compound of a tangent space projection and a group of splines. Tangent space projection is estimated at each data point on the manifold, through which the data point itself and its neighbors are represented in tangent space with local coordinates. Splines are then constructed to guarantee that each of the local coordinates can be mapped to its own single global coordinate with respect to the underlying manifold. Thus, the compatibility between local alignments is ensured. In such a work setting, we develop an optimization framework based on reconstruction error analysis, which can yield a global optimum. The proposed algorithm is also extended to embed out of samples via spline interpolation. Experiments on toy data sets and real-world data sets illustrate the validity of our method.