evclust {evclust}

evclust: A package for evidential clustering

Description

Various clustering algorithms that generate a credal partition, i.e., a set of mass functions. Mass functions quantify the cluster-membership uncertainty of the objects. The package consists in the following main functions, implementing different evidential clustering algorithms:

ecm

Evidential c-means algorithm (Masson and Denoeux, 2008)

recm

Relational Evidential c-means algorithm (Masson and Denoeux, 2009)

kevclus

$k$-EVCLUS algorithm (Denoeux and Masson, 2004; Denoeux et al., 2016)

EkNNclus

E$k$-NNclus algorithm (Denoeux et al., 2015)

cecm

Constrained Evidential c-means algorithm (Antoine et al, 2012)

kcevclus

Constrained evidential clustering (Antoine et al., 2014; Li et al., 2018)

bpec

Belief peak evidential clustering (Su and Denoeux, 2019)

nnevclus

Neural-network based evidential clustering (Denoeux, 2020a)

nnevclus_mb

Neural-network based evidential clustering, minibatch version (Denoeux, 2020a)

bootclus

Model-based evidential clustering using bootstrapping (Denoeux, 2020b)

References

V. Antoine, B. Quost, M.-H. Masson and T. Denoeux. CECM: Constrained Evidential C-Means algorithm. Computational Statistics and Data Analysis, Vol. 56, Issue 4, pages 894–914, 2012.

T. Denoeux and M.-H. Masson. EVCLUS: Evidential Clustering of Proximity Data. IEEE Transactions on Systems, Man and Cybernetics B, Vol. 34, Issue 1, 95–109, 2004.

T. Denoeux, O. Kanjanatarakul and S. Sriboonchitta. EK-NNclus: a clustering procedure based on the evidential K-nearest neighbor rule. Knowledge-Based Systems, Vol. 88, pages 57–69, 2015.

T. Denoeux, S. Sriboonchitta and O. Kanjanatarakul. Evidential clustering of large dissimilarity data. Knowledge-Based Systems, vol. 106, pages 179-195, 2016.

M.-H. Masson and T. Denoeux. ECM: An evidential version of the fuzzy c-means algorithm. Pattern Recognition, Vol. 41, Issue 4, pages 1384–1397, 2008.

M.-H. Masson and T. Denoeux. RECM: Relational Evidential c-means algorithm. Pattern Recognition Letters, Vol. 30, pages 1015–1026, 2009.

V. Antoine, B. Quost, M.-H. Masson and T. Denoeux. CEVCLUS: Evidential clustering with instance-level constraints for relational data. Soft Computing 18(7):1321-1335, 2014.

F. Li, S. Li and T. Denoeux. k-CEVCLUS: Constrained evidential clustering of large dissimilarity data. Knowledge-Based Systems 142:29-44, 2018.

Z.-G. Su and T. Denoeux. BPEC: Belief-Peaks Evidential Clustering. IEEE Transactions on Fuzzy Systems, 27(1):111-123, 2019.

T. Denoeux. NN-EVCLUS: Neural Network-based Evidential Clustering. arXiv:2009.12795, 2020a.

T. Denoeux. Calibrated model-based evidential clustering using bootstrapping. Information Sciences, Vol. 528, pages 17-45, 2020b.

See Also

ecm, recm, cecm, kevclus, EkNNclus, kcevclus, bpec, nnevclus, nnevclus_mb, bootclus.