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High Dimensional Inference for Cluster-Based Graphical Models

Motivated by modern applications in which one constructs graphical models based on a very large number of features, this paper introduces a new class of cluster-based graphical models. Unlike standard graphical models, variable clustering is applied …

Efficient, Certifiably Optimal Clustering with Applications to Latent Variable Graphical Models

We consider SDP relaxation methods for data and variable clustering problems, which have been shown in the literature to have good statistical properties in a variety of settings, but remain intractable to solve in practice. In particular, we propose …