approximating hierarchical mv-set
Approximating Hierarchical MV-sets for Hierarchical Clustering
Assaf Glazer, Omer Weissbrod, Michael Lindenbaum, Shaul Markovitch
The goal of hierarchical clustering is to construct a cluster tree, which can be viewed as the modal structure of a density. For this purpose, we use a convex optimization program that can efficiently estimate a family of hierarchical dense sets in high-dimensional distributions. We further extend existing graph-based methods to approximate the cluster tree of a distribution. By avoiding direct density estimation, our method is able to handle high-dimensional data more efficiently than existing density-based approaches. We present empirical results that demonstrate the superiority of our method over existing ones.
- North America > United States > Utah (0.04)
- North America > United States > New York (0.04)
- Europe > United Kingdom > Scotland (0.04)
- (7 more...)
Approximating Hierarchical MV-sets for Hierarchical Clustering
The goal of hierarchical clustering is to construct a cluster tree, which can be viewed as the modal structure of a density. For this purpose, we use a convex optimization program that can efficiently estimate a family of hierarchical dense sets in high-dimensional distributions. We further extend existing graph-based methods to approximate the cluster tree of a distribution. By avoiding direct density estimation, our method is able to handle high-dimensional data more efficiently than existing density-based approaches. We present empirical results that demonstrate the superiority of our method over existing ones.
- North America > United States > Utah (0.04)
- North America > United States > New York (0.04)
- Europe > United Kingdom > Scotland (0.04)
- (7 more...)
Approximating Hierarchical MV-sets for Hierarchical Clustering
Glazer, Assaf, Weissbrod, Omer, Lindenbaum, Michael, Markovitch, Shaul
The goal of hierarchical clustering is to construct a cluster tree, which can be viewed as the modal structure of a density. For this purpose, we use a convex optimization program that can efficiently estimate a family of hierarchical dense sets in high-dimensional distributions. We further extend existing graph-based methods to approximate the cluster tree of a distribution. By avoiding direct density estimation, our method is able to handle high-dimensional data more efficiently than existing density-based approaches. We present empirical results that demonstrate the superiority of our method over existing ones.