关键词: 调和函数, 张量数据, 维数约简

Abstract: Most of the real-world data，such as images and videos，are always represented by tensor and high-dimensionality form，which make tensor data dimensionality reduction the hot issue in recent research.Due to the supervised view of point，most of the present tensor dimensionality reduction methods cannot take full advantage of the unlabeled data.Combining the advantages of traditional semi-supervised methods and tensor-based methods，Tensor Dimensionality Reduction via Harmonic Function（TDRHF） can make full use of the unlabeled data while maintaining the natural tensor structure of the data.The effectiveness of the method is verified by both simulations and real-world data.

Key words: harmonic function, tensor data, dimensionality reduction