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Hierarchical clustering: Objective functions and algorithms
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 …
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
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 …
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 …
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
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 …
many higher-level data mining analyses, including data editing for classifiers …
Gradient-based hierarchical clustering using continuous representations of trees in hyperbolic space
Hierarchical clustering is typically performed using algorithmic-based optimization searching
over the discrete space of trees. While these optimization methods are often effective, their …
over the discrete space of trees. While these optimization methods are often effective, their …
A hierarchical algorithm for extreme clustering
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 …
large number of clusters, K. This paper introduces PERCH, a new non-greedy, incremental …
Scalable hierarchical agglomerative clustering
The applicability of agglomerative clustering, for inferring both hierarchical and flat
clustering, is limited by its scalability. Existing scalable hierarchical clustering methods …
clustering, is limited by its scalability. Existing scalable hierarchical clustering methods …
Clustering partially observed graphs via convex optimization
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 …
one where for some node pairs we know there is an edge between them, for some others we …
Local algorithms for interactive clustering
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 …
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 …
problem of dividing the polynomial. A method for dividing an Nth degree polynomial by an …