Self-adaptive local Fisher discriminant analysis for semi-supervised image recognition
Zhonghua Liu, Jingyan Wang, Jiaju Man, Yongping Li, Xinge You, Chao Wang · International Journal of Biometrics · 2012
In this paper, we present a self-adaptive semi-supervised dimension reduction framework for image class recognition. Compared with the Semi-supervised Local Fisher Discriminant Analysis (SELF), whose classification performance is significantly influenced by some parameters – Neighbour size k of every labelled sample, Affinity Matrix A = { A ij } and Trade-off parameter β , our sparse algorithm is developed based on the distribution of the data set, which is much more adaptive to data set themselves. To develop a more tractable and practical approach, we in particular impose neighourhood structure constraint on the labelled samples in the minimum reconstruction criterion and develop a quadratic optimisation technique to approximately estimate the affine matrix used in the Local Fisher Discriminant Analysis (LFDA). We also give a novel approach to estimate the β automatically. Our experiments on semi-supervised face recognition task demonstrate that the proposed method is more robust and efficient in dealing with the semi-supervised problems in face recognition when compared with the related SELF methods.