Geometric Manifold Energy and Manifold Clustering [chapter]

Hongyu Li, Qiyong Guo, Jinyuan Jia, Jussi Parkkinen
2009 Lecture Notes in Computer Science  
A general nonparametric technique is proposed for the description of geometric manifold energy of unorganized data. Minimizing the energy leads to an optimal cycle, from which underlying manifolds are easily distinguished. We design a new framework for manifold clustering based on energy minimization. In addition, we propose the active tabu search method to approximately solve for the optimal solution to energy minimization. We have applied the proposed technique to both synthetic and real
more » ... Experimental results show that the method is feasible and promising in manifold clustering.
doi:10.1007/978-3-642-01510-6_76 fatcat:l5e75itesrcahhvq6xrshhudge