Collaborative Evidential Clustering

Different companies may not be allowed to treat data together given restrictions of security, privacy or other technical reasons. In order to make better use of information from different sources, clustering algorithms based on collaboration mechanisms have been widely used. We propose the concept of collaborative evidential clustering under the framework of evidence theory. The key point is to establish collaboration among the credal partition matrices of each data site to meet the data confidentiality requirements. Considering the problems of excessive information interaction and insufficient information interaction, we design single-step and multi-step collaborative evidential clustering algorithms. Our algorithms were validated on real data sets.

[1]  Witold Pedrycz,et al.  Collaborative clustering with the use of Fuzzy C-Means and its quantification , 2008, Fuzzy Sets Syst..

[2]  Witold Pedrycz,et al.  Semantic Web Content Analysis: A Study in Proximity-Based Collaborative Clustering , 2007, IEEE Transactions on Fuzzy Systems.

[3]  Witold Pedrycz,et al.  Collaborative fuzzy clustering , 2002, Pattern Recognit. Lett..

[4]  H. Kuhn The Hungarian method for the assignment problem , 1955 .

[5]  Glenn Shafer,et al.  A Mathematical Theory of Evidence , 2020, A Mathematical Theory of Evidence.

[6]  Younès Bennani,et al.  Collaborative clustering with heterogeneous algorithms , 2015, 2015 International Joint Conference on Neural Networks (IJCNN).

[7]  Witold Pedrycz,et al.  Collaborative fuzzy clustering algorithm: Some refinements , 2017, Int. J. Approx. Reason..

[8]  Hua Li,et al.  Spatial Evidential Clustering With Adaptive Distance Metric for Tumor Segmentation in FDG-PET Images , 2018, IEEE Transactions on Biomedical Engineering.

[9]  Younès Bennani,et al.  Collaborative Generative Topographic Mapping , 2012, ICONIP.

[10]  Thierry Denoeux,et al.  Evidential grammars: A compositional approach for scene understanding. Application to multimodal street data , 2017, Appl. Soft Comput..

[11]  Witold Pedrycz,et al.  Rough–Fuzzy Collaborative Clustering , 2006, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[12]  Thierry Denoeux,et al.  EVCLUS: evidential clustering of proximity data , 2004, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[13]  R. Vidal,et al.  Sparse Subspace Clustering: Algorithm, Theory, and Applications. , 2013, IEEE transactions on pattern analysis and machine intelligence.

[14]  Thierry Denoeux,et al.  Fusion of multi-tracer PET images for dose painting , 2014, Medical Image Anal..

[15]  Philippe Smets,et al.  The Transferable Belief Model for Quantified Belief Representation , 1998 .

[16]  Thierry Denoeux,et al.  ECM: An evidential version of the fuzzy c , 2008, Pattern Recognit..

[17]  Witold Pedrycz,et al.  A Multifaceted Perspective at Data Analysis: A Study in Collaborative Intelligent Agents , 2008, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[18]  Alessandro Saffiotti,et al.  The Transferable Belief Model , 1991, ECSQARU.

[19]  Chin-Teng Lin,et al.  A preprocessed induced partition matrix based collaborative fuzzy clustering for data analysis , 2014, 2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE).

[20]  Germain Forestier,et al.  Collaborative Multi-Strategical Clustering for Object-Oriented Image Analysis , 2008 .

[21]  Witold Pedrycz,et al.  A Multifaceted Perspective at Data Analysis: A Study in Collaborative Intelligent Agents $^{\ast}$ , 2008, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[22]  Thierry Denoeux,et al.  Selecting radiomic features from FDG-PET images for cancer treatment outcome prediction , 2016, Medical Image Anal..

[23]  Geert Wets,et al.  PSO driven collaborative clustering: A clustering algorithm for ubiquitous environments , 2011, Intell. Data Anal..