DeepAI AI Chat
Log In Sign Up

Anytime Hierarchical Clustering

04/13/2014
by   Omur Arslan, et al.
University of Pennsylvania
0

We propose a new anytime hierarchical clustering method that iteratively transforms an arbitrary initial hierarchy on the configuration of measurements along a sequence of trees we prove for a fixed data set must terminate in a chain of nested partitions that satisfies a natural homogeneity requirement. Each recursive step re-edits the tree so as to improve a local measure of cluster homogeneity that is compatible with a number of commonly used (e.g., single, average, complete) linkage functions. As an alternative to the standard batch algorithms, we present numerical evidence to suggest that appropriate adaptations of this method can yield decentralized, scalable algorithms suitable for distributed/parallel computation of clustering hierarchies and online tracking of clustering trees applicable to large, dynamically changing databases and anomaly detection.

READ FULL TEXT

page 1

page 2

page 3

page 4

03/15/2012

Bayesian Rose Trees

Hierarchical structure is ubiquitous in data across many domains. There ...
03/19/2020

Clustering with Fast, Automated and Reproducible assessment applied to longitudinal neural tracking

Across many areas, from neural tracking to database entity resolution, m...
06/17/2019

Nested partitions from hierarchical clustering statistical validation

We develop a greedy algorithm that is fast and scalable in the detection...
06/21/2019

Versatile linkage: a family of space-conserving strategies for agglomerative hierarchical clustering

Agglomerative hierarchical clustering can be implemented with several st...
05/03/2022

The Price of Hierarchical Clustering

Hierarchical Clustering is a popular tool for understanding the heredita...
05/07/2023

Persistent Homology of the Multiscale Clustering Filtration

In many applications in data clustering, it is desirable to find not jus...
01/27/2022

Generation Matrix: An Embeddable Matrix Representation for Hierarchical Trees

Starting from the local structures to study hierarchical trees is a comm...