Hierarchical clustering: Objective functions and algorithms

V Cohen-Addad, V Kanade, F Mallmann-Trenn… - Journal of the ACM …, 2019 - dl.acm.org
Hierarchical clustering is a recursive partitioning of a dataset into clusters at an increasingly
finer granularity. Motivated by the fact that most work on hierarchical clustering was based …

Approximation bounds for hierarchical clustering: Average linkage, bisecting k-means, and local search

B Moseley, JR Wang - Journal of Machine Learning Research, 2023 - jmlr.org
Hierarchical clustering is a data analysis method that has been used for decades. Despite its
widespread use, the method has an underdeveloped analytical foundation. Having a well …

Affinity clustering: Hierarchical clustering at scale

MH Bateni, S Behnezhad… - Advances in …, 2017 - proceedings.neurips.cc
Graph clustering is a fundamental task in many data-mining and machine-learning
pipelines. In particular, identifying a good hierarchical structure is at the same time a …

Accelerating dynamic time war** clustering with a novel admissible pruning strategy

N Begum, L Ulanova, J Wang, E Keogh - Proceedings of the 21th ACM …, 2015 - dl.acm.org
Clustering time series is a useful operation in its own right, and an important subroutine in
many higher-level data mining analyses, including data editing for classifiers …

Gradient-based hierarchical clustering using continuous representations of trees in hyperbolic space

N Monath, M Zaheer, D Silva, A McCallum… - Proceedings of the 25th …, 2019 - dl.acm.org
Hierarchical clustering is typically performed using algorithmic-based optimization searching
over the discrete space of trees. While these optimization methods are often effective, their …

A hierarchical algorithm for extreme clustering

A Kobren, N Monath, A Krishnamurthy… - Proceedings of the 23rd …, 2017 - dl.acm.org
Many modern clustering methods scale well to a large number of data points, N, but not to a
large number of clusters, K. This paper introduces PERCH, a new non-greedy, incremental …

Scalable hierarchical agglomerative clustering

N Monath, KA Dubey, G Guruganesh… - Proceedings of the 27th …, 2021 - dl.acm.org
The applicability of agglomerative clustering, for inferring both hierarchical and flat
clustering, is limited by its scalability. Existing scalable hierarchical clustering methods …

Clustering partially observed graphs via convex optimization

Y Chen, A Jalali, S Sanghavi, H Xu - The Journal of Machine Learning …, 2014 - dl.acm.org
This paper considers the problem of clustering a partially observed unweighted graph--ie,
one where for some node pairs we know there is an edge between them, for some others we …

Local algorithms for interactive clustering

P Awasthi, MF Balcan, K Voevodski - Journal of Machine Learning …, 2017 - jmlr.org
We study the design of interactive clustering algorithms. The user supervision that we
consider is in the form of cluster split/merge requests; such feedback is easy for users to …

Fast modular transforms via division

R Moenck, A Borodin - 13th Annual Symposium on Switching …, 1972 - ieeexplore.ieee.org
It is shown that the problem of evaluating an Nth degree polynomial is reducible to the
problem of dividing the polynomial. A method for dividing an Nth degree polynomial by an …