4 papers
Theoretical Foundations of Ordinal Spherical Multidimensional Scaling
Elizabeth Coda, Ery Arias-Castro
There has been general interest in spherically constrained embeddings as data with an inherently circular or spherical structure arise in a number of applications. While many metho…
Cluster and then Embed: A Modular Approach for Visualization
Elizabeth Coda, Ery Arias-Castro, Gal Mishne
Dimensionality reduction methods such as t-SNE and UMAP are popular methods for visualizing data with a potential (latent) clustered structure. They are known to group data points…
Graph Max Shift: A Hill-Climbing Method for Graph Clustering
Ery Arias-Castro, Elizabeth Coda, Wanli Qiao
We present a method for graph clustering that is analogous to gradient ascent methods previously proposed for clustering points in space. The algorithm, which can be viewed as a ma…
An Axiomatic Definition of Hierarchical Clustering
Ery Arias-Castro, Elizabeth Coda
In this paper, we take an axiomatic approach to defining a population hierarchical clustering for piecewise constant densities, and in a similar manner to Lebesgue integration, ext…