evclust.wmvec#

This module contains the main function for Adaptive Weighted Multi-View Evidential Clustering (WMVEC).

Zhe Liu, Haojian Huang, Sukumar Letchmunan, Muhammet Deveci, Adaptive weighted multi-view evidential clustering with feature preference, Knowledge-Based Systems, Volume 294, 2024, 111770, ISSN 0950-7051

Module Contents#

evclust.wmvec.wmvec(X, c, alpha=2, delta=5, maxit=20, epsi=0.001, beta=1.1, lmbda=403.4288, type='simple', disp=True)[source]#

Weighted Multi-View Evidential Clustering (WMVEC) Algorithm. WMVEC can be viewed as a multi-view version of conventional evidential c-means clustering. Specifically, the view weight can measure the contribution of each view in clustering. WMVEC is based on objets row-data.

Parameters:#

X (list of np.ndarray):

List of datasets from different views.

c (int):

Number of clusters.

alpha (float):

Parameter for distance weighting.

beta (float):

Exponent for mass function calculation.

lmbda (float):

Parameter for R update.

delta (list):

List of penalties for empty sets for each view.

epsi (float):

Convergence threshold.

maxit (int):

Maximum number of iterations.

type (str):

Type of focal set matrix to generate (‘simple’, ‘full’, ‘pairs’).

disp (bool):

If True (default), intermediate results are displayed.

Returns:#

The credal partition (an object of class “credpart”).

Example:#

from evclust.wmvec import wmvec
from evclust.datasets import load_prop

df = load_prop()
clus = wmvec(X=df, c=4, alpha=2, delta=5, maxit=20, epsi=1e-3,
            beta=1.1, lmbda=403.4288, type="simple", disp=True)

# View weight
clus['param]['R']

References:#

Zhe Liu, Haojian Huang, Sukumar Letchmunan, Muhammet Deveci, Adaptive weighted multi-view evidential clustering with feature preference, Knowledge-Based Systems, Volume 294, 2024, 111770, ISSN 0950-7051

Note

Keywords : Evidential clustering, Multi-view learning, Theory of belief functions, Credal partition WMVEC can be viewed as a multi-view version of conventional evidential c-means clustering. The objec-tive function of WMVEC integrating the learning of view weightsand credal partition into a unified framework, and design an optimiza-tion scheme to obtain the optimal results of WMVEC. Specifically, the view weight can measure the contribution of each view in clustering. Thecredal partition can provide a deeper understanding of the data structureby allowing samples to belong not only to singleton clusters, but also toa union of different singleton clusters, called meta-cluster.

evclust.wmvec.Centroids_Initialization(X, K)[source]#
evclust.wmvec.get_distance_wmvec(mode, view, data, nbFoc, Aj, F_update, alpha, beta, delta, features, R_or_M)[source]#
evclust.wmvec.update_Aj_wmvec(view, cluster, features, Aj, F, center, nbFoc)[source]#
evclust.wmvec.update_M_wmvec(view, data, dis, beta, nbFoc)[source]#
evclust.wmvec.update_R_wmvec(view, dis, lmbda)[source]#
evclust.wmvec.update_V_wmvec(view, cluster, alpha, beta, data, M, R, F_update, features)[source]#
evclust.wmvec.update_jaccard_wmvec(view, lmbda, R, dis)[source]#