%0 Journal Article %T Unsupervised Functional Data Clustering Based on Adaptive Weights %A Yutong Gao %A Shuang Chen %J Open Journal of Statistics %P 212-221 %@ 2161-7198 %D 2023 %I Scientific Research Publishing %R 10.4236/ojs.2023.132011 %X In recent years, functional data has been widely used in finance, medicine, biology and other fields. The current clustering analysis can solve the problems in finite-dimensional space, but it is difficult to be directly used for the clustering of functional data. In this paper, we propose a new unsupervised clustering algorithm based on adaptive weights. In the absence of initialization parameter, we use entropy-type penalty terms and fuzzy partition matrix to find the optimal number of clusters. At the same time, we introduce a measure based on adaptive weights to reflect the difference in information content between different clustering metrics. Simulation experiments show that the proposed algorithm has higher purity than some algorithms. %K Functional Data %K Unsupervised Learning Clustering %K Functional Principal Component Analysis %K Adaptive Weight %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=124497