Iterative Min Cut Clustering Based on Graph Cuts

Clustering nonlinearly separable datasets is always an important problem in unsupervised machine learning. Graph cut models provide good clustering results for nonlinearly separable datasets, but solving graph cut models is an NP hard problem. A novel graph-based clustering algorithm is proposed for nonlinearly separable datasets. The proposed method solves the min cut model by iteratively computing only one simple formula. Experimental results on synthetic and benchmark datasets indicate the potential of the proposed method, which is able to cluster nonlinearly separable datasets with less running time.

[1]  Anil K. Jain,et al.  Clustering Millions of Faces by Identity , 2016, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[2]  René Vidal,et al.  Sparse Subspace Clustering: Algorithm, Theory, and Applications , 2012, IEEE transactions on pattern analysis and machine intelligence.

[3]  James C. Bezdek,et al.  Pattern Recognition with Fuzzy Objective Function Algorithms , 1981, Advanced Applications in Pattern Recognition.

[4]  Sean Hughes,et al.  Clustering by Fast Search and Find of Density Peaks , 2016 .

[5]  Ismail Ben Ayed,et al.  Kernel Clustering: Density Biases and Solutions , 2017, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[6]  Chao Jiang,et al.  High-order fuzzy clustering algorithm based on multikernel mean shift , 2020, Neurocomputing.

[7]  David P. Hofmeyr Clustering by Minimum Cut Hyperplanes , 2017, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[8]  Jian Xu,et al.  Improved Affinity Propagation Clustering for Business Districts Mining , 2018, 2018 IEEE 30th International Conference on Tools with Artificial Intelligence (ICTAI).

[9]  Xavier Bresson,et al.  Multiclass Total Variation Clustering , 2013, NIPS.

[10]  Arthur D. Szlam,et al.  Total variation and cheeger cuts , 2010, ICML 2010.

[11]  Ronald D. Vale,et al.  A DNA-Based T Cell Receptor Reveals a Role for Receptor Clustering in Ligand Discrimination , 2016, Cell.

[12]  Md. Abu Bakr Siddique,et al.  ADBSCAN: Adaptive Density-Based Spatial Clustering of Applications with Noise for Identifying Clusters with Varying Densities , 2018, 2018 4th International Conference on Electrical Engineering and Information & Communication Technology (iCEEiCT).

[13]  Yung-Yu Chuang,et al.  Multiple Kernel Fuzzy Clustering , 2012, IEEE Transactions on Fuzzy Systems.

[14]  H. Luetkepohl The Handbook of Matrices , 1996 .

[15]  Karthikeyan Natesan Ramamurthy,et al.  Multiple Kernel Sparse Representations for Supervised and Unsupervised Learning , 2013, IEEE Transactions on Image Processing.

[16]  Sergei Vassilvitskii,et al.  k-means++: the advantages of careful seeding , 2007, SODA '07.

[17]  Ling Shao,et al.  Binary Multi-View Clustering , 2019, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[18]  Mohan S. Kankanhalli,et al.  Hierarchical Clustering Multi-Task Learning for Joint Human Action Grouping and Recognition , 2017, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[19]  Sebastian Nowozin,et al.  Image Segmentation UsingHigher-Order Correlation Clustering , 2014, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[20]  Ulrike von Luxburg,et al.  A tutorial on spectral clustering , 2007, Stat. Comput..

[21]  Peng Zhang,et al.  SAR Image Change Detection Based on Multiple Kernel K-Means Clustering With Local-Neighborhood Information , 2016, IEEE Geoscience and Remote Sensing Letters.

[22]  Johan A. K. Suykens,et al.  Optimized Data Fusion for Kernel k-Means Clustering , 2012, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[23]  Tao Mei,et al.  Subspace Clustering by Block Diagonal Representation , 2018, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[24]  L. Rudin,et al.  Nonlinear total variation based noise removal algorithms , 1992 .

[25]  J. MacQueen Some methods for classification and analysis of multivariate observations , 1967 .