A p-norm singular value decomposition method for robust tumor clustering

Tumor clustering based on biomolecular data plays a very important role for cancer classifications discovery. To further improve the robustness, stability and accuracy of tumor clustering, we develop a novel dimension reduction method named p-norm singular value decomposition (PSVD) to seek a low-rank approximation matrix to the bimolecular data. To enhance the robustness to outliers, the Lp-norm is taken as the error function and the Schatten p-norm is used as the regularization function in our optimization model. To evaluate the performance of PSVD, Kmeans clustering method is then employed for tumor clustering based on the low-rank approximation matrix. The extensive experiments are performed on gene expression dataset and cancer genome dataset respectively. All experimental results demonstrate that the PSVD-based method outperforms many existing methods. Especially it is experimentally proved that the proposed method is efficient for processing higher dimensional data with good robustness and superior time performance.