Adaptive Neighborhood Selection Algorithm Based on Deflection Angle of Local Tangent Space

An adaptive neighborhood selection algorithm is proposed based on deflection angle of local tangent space by using the geometric properties of local tangent space.It computes the angle between local centralized samples and its tangent space based on the orthogonal projection of local tangent space.It depicts the properties of local tangent space better,and discriminates the samples which do not belong to this neighborhood and possesses better antinoise ability.The proposed algorithm is a modification to local tangent space alignment with manifold learning function of local high curvature.Experimental results show that the proposed algorithm is effective.