Search Results for author: Kathrin Bujna

Found 5 papers, 0 papers with code

On Coreset Constructions for the Fuzzy $K$-Means Problem

no code implementations22 Dec 2016 Johannes Blömer, Sascha Brauer, Kathrin Bujna

The fuzzy $K$-means problem is a popular generalization of the well-known $K$-means problem to soft clusterings.

Hard-Clustering with Gaussian Mixture Models

no code implementations21 Mar 2016 Johannes Blömer, Sascha Brauer, Kathrin Bujna

Training the parameters of statistical models to describe a given data set is a central task in the field of data mining and machine learning.

Clustering

Complexity and Approximation of the Fuzzy K-Means Problem

no code implementations18 Dec 2015 Johannes Blömer, Sascha Brauer, Kathrin Bujna

We complement these results with a randomized algorithm which imposes some natural restrictions on the input set and whose runtime is comparable to some of the most efficient approximation algorithms for $K$-means, i. e. linear in the number of points and the dimension, but exponential in the number of clusters.

Clustering

Adaptive Seeding for Gaussian Mixture Models

no code implementations20 Dec 2013 Johannes Blömer, Kathrin Bujna

Our methods are adaptions of the well-known $K$-means++ initialization and the Gonzalez algorithm.

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