Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  general solutions for nonlinear nonnegative component analysis for data representation and recognition are proposed. That is, motivated by a combination of the Nonnegative Matrix Factorization (NMF) algorithm and kernel theory, which has lead to an NMF algorithm in a polynomial feature space,  propose a general framework where one can build a nonlinear nonnegative component analysis using kernels, the so-called projected gradient Kernel Nonnegative Matrix Factorization (PGKNMF). In the proposed approach, arbitrary positive kernels can be adopted while at the same time it is ensured that the limit point of the procedure is a stationary point of the optimization problem. Moreover,  propose fixed point algorithms for the special case of Radial Basis Function (RBF) kernels.  demonstrate the por of the proposed methods in face and facial expression recognition applications.
['Stefanos Zafeiriou', 'Maria Petrou']
I am writing a research paper on a idea Nonlinear Nonnegative Component Analysis
[{"from": "human", "value": "I am writing a research paper on a idea Nonlinear Nonnegative Component Analysis"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  general solutions for nonlinear nonnegative component analysis for data representation and recognition are proposed. That is, motivated by a combination of the Nonnegative Matrix Factorization (NMF) algorithm and kernel theory, which has lead to an NMF algorithm in a polynomial feature space,  propose a general framework where one can build a nonlinear nonnegative component analysis using kernels, the so-called projected gradient Kernel Nonnegative Matrix Factorization (PGKNMF). In the proposed approach, arbitrary positive kernels can be adopted while at the same time it is ensured that the limit point of the procedure is a stationary point of the optimization problem. Moreover,  propose fixed point algorithms for the special case of Radial Basis Function (RBF) kernels.  demonstrate the por of the proposed methods in face and facial expression recognition applications."}]