Computing
An Efficient k-Means Clustering Algorithm: Analysis and Implementation
IEEE Transactions on Pattern Analysis and Machine Intelligence
k-means++: the advantages of careful seeding
SODA '07 Proceedings of the eighteenth annual ACM-SIAM symposium on Discrete algorithms
A tutorial on spectral clustering
Statistics and Computing
DENCLUE 2.0: fast clustering based on kernel density estimation
IDA'07 Proceedings of the 7th international conference on Intelligent data analysis
Spatially adaptive sparse grids for high-dimensional data-driven problems
Journal of Complexity
LIBSVM: A library for support vector machines
ACM Transactions on Intelligent Systems and Technology (TIST)
Scikit-learn: Machine Learning in Python
The Journal of Machine Learning Research
AI'11 Proceedings of the 24th international conference on Advances in Artificial Intelligence
Survey of clustering algorithms
IEEE Transactions on Neural Networks
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We present a density-based clustering method. The clusters are determined by splitting a similarity graph of the data into connected components. The splitting is accomplished by removing vertices of the graph at which an estimated density function of the data evaluates to values below a threshold. The density function is approximated on a sparse grid in order to make the method feasible in higher-dimensional settings and scalable in the number of data points. With benchmark examples we show that our method is competitive with other modern clustering methods. Furthermore, we consider a real-world example where we cluster nodes of a finite element model of a Chevrolet pick-up truck with respect to the displacements of the nodes during a frontal crash.