Development of Self-Learning Kernel Regression Models for Virtual Sensors on Nonlinear Processes

摘要

The prediction accuracy of the traditional kernel with data-driven regression methods strongly depends on the appropriate selection of the kernel function and aims at solving the nonlinearity of the input space. In this paper, a self-learning kernel regression model is proposed. A special kernel space from the measured data is learned and designed, so that combined with dimension reductions on the input variables, the regression behavior between the projected input variables and the output variable is found. The model is posed as a semidefinite programming problem with the objective function to find the maximum variance between the learned manifolds. The kernel is data dependent and can be generated online whenever a new data point is available. The effectiveness of the proposed algorithm is demonstrated through the case studies on a simple nonlinear system and a real semiconductor process.