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math.ST2024
Stability of Sequential Lateration and of Stress Minimization in the Presence of Noise
Ery Arias-Castro, Siddharth Vishwanath
Sequential lateration is a class of methods for multidimensional scaling where a suitable subset of nodes is first embedded by some method, e.g., a clique embedded by classical sca…
stat.ML2024
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…
math.ST2024
The Coreness and H-Index of Random Geometric Graphs
Eddie Aamari, Ery Arias-Castro, Clément Berenfeld
In network analysis, a measure of node centrality provides a scale indicating how central a node is within a network. The coreness is a popular notion of centrality that accounts f…