Projection Pursuit Model Based on Particle Swarm Optimization Algorithm and Its Application on Water Quality Evaluation

Projection pursuit propounded by Kruskal an American scientist is an emerging statistical method applied on analyzing and processing high-dimensional data, especially nonlinear and non-normal high-dimensional data. The theory of projection pursuit is the interdisciplinary of statistics, applied mathematics and computer technology and is the front research field. Projection pursuit technique studies and analyzes high-dimensional data by projecting the high-dimensional data into a low-dimensional subspace and pursuing the projections which can reflect the structure and characteristic of the original high-dimensional data. The basic theory of projection pursuit model was introduced and particle swarm optimization algorithm was used to optimize its projection direction. Then an application example about water quality evaluation was performed based on the model. The results indicated that projection pursuit model had high capability of processing high-dimensional data; particle swarm optimization algorithm was simple and steady; evaluation results were credible and precise.