关键词: 维数约简, 局部保持映射（LPP）, 对角矩阵, 指数参数, 噪声

Abstract: Local Preserving Projection algorithm（LPP） obtains the diagonal matrix by computing the sum of the Euclidean distance and it can make use of the results to reduce dimensions.However，it is worth to do further investigation whether the algorithm can be optimized.In the paper，some modification are made to the formula which the algorithm rests on.With adding the exponential parameter，the improved local preserving projection algorithm based on exponential diagonal matrix can be got.Through a lot of experiments it has an affect on the results of the dimensionality reduction.It is easier to approach the intrinsic dimension of the datas.It also checks the discrimination after reducing the dimensions and the sensitivity of noise.

Key words: dimensionality reduction, local preserving projection, diagonal matrix, exponential parameter, noise