Deep Embedded Cluster Tree The idea of combining the high representational power of deep learning techniques with clustering methods has gained much interest in recent years. Optimizing representation and clustering simultaneously has been shown to have an advantage over optimizing them separately. However, so far all proposed methods have been using a flat clustering strategy, with the true number of clusters known a priori. In this paper, we propose the Deep Embedded Cluster Tree (DeepECT), the first divisive hierarchical embedded clustering method. The cluster tree does not need to know the true number of clusters during optimization. Instead, the level of detail to be analyzed can be chosen afterward and for each subtree separately. An optional dataaugmentationbased extension allows DeepECT to ignore priorknown invariances of the dataset, such as affine transformations in image data. We evaluate and show the advantages of DeepECT in extensive experiments.

Improving Spectral Clustering with Deep Embedding and Cluster Estimation Spectral clustering is one of the most popular modern clustering algorithms. It is easy to implement, can be solved efficiently, and very often outperforms other traditional clustering algorithms such as kmeans. However, pectral clustering would be insufficient when dealing with most datasets which have complex statistical properties and quires the user to specify the number of clusters (called k). To address these two problems, in this paper, we propose an approach to extending spectral clustering with deep embedding and estimation of the number of clusters. Specifically, we first generate the deep embedding via learning a deep autoencoder, which transforms the raw data into the lower dimensional representations that suitable for clustering. We then provide an effective method to estimate the number of clusters by learning a softmax autoencoder from the deep embedding. We finally extend spectral clustering with the learned embedding and the estimated number. An extensive experimental study on several image and text datasets illustrates the effectiveness and efficiency of our approach.