Name
Title | ||
|---|---|---|
Gaussian clusters and noise: an approach based on the minimum description length principle |
Abstract | ||
|---|---|---|
We introduce a well-grounded minimum description length (MDL) based quality measure for a clustering consisting of either spherical or axis-aligned normally distributed clusters and a cluster with a uniform distribution in an axis-aligned rectangular box. The uniform component extends the practical usability of the model e.g. in the presence of noise, and using the MDL principle for the model selection makes comparing the quality of clusterings with a different number of clusters possible. We also introduce a novel search heuristic for finding the best clustering with an unknown number of clusters. The heuristic is based on the idea of moving points from the Gaussian clusters to the uniform one and using MDL for determining the optimal amount of noise. Tests with synthetic data having a clear cluster structure imply that the search method is effective in finding the intuitively correct clustering. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1007/978-3-642-16184-1_18 | Discovery Science |
Keywords | Field | DocType |
best clustering,gaussian cluster,intuitively correct clustering,uniform distribution,different number,axis-aligned rectangular box,mdl principle,clear cluster structure,minimum description length principle,model selection,uniform component,synthetic data,normal distribution,minimum description length | Cluster (physics),Data mining,Mathematical optimization,Heuristic,Expectation–maximization algorithm,Computer science,Minimum description length,Algorithm,Model selection,Uniform distribution (continuous),Gaussian,Cluster analysis | Conference |
Volume | ISSN | ISBN |
6332 | 0302-9743 | 3-642-16183-9 |
Citations | PageRank | References |
1 | 0.40 | 4 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Panu Luosto | 1 | 23 | 2.05 |
| Jyrki Kivinen | 2 | 1011 | 351.81 |
| Heikki Mannila | 3 | 6595 | 1495.69 |