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Non-negative Orthogonal Matrix Factorization Based Multi-view Clustering Image Segmentation Algorithm |
ZHANG Rongguo1, CAO Junhui1, HU Jing1, ZHANG Rui1, LIU Xiaojun2 |
1. College of Computer Science and Technology, Taiyuan University of Science and Technology, Taiyuan 030024; 2. School of Mechanical Engineering, Hefei University of Technology, Hefei 230009 |
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Abstract Multi-view graph clustering shows some advantages in dealing with nonlinear structured data, but it exhibits drawbacks such as the need of post-processing and low time efficiency. To solve this problem, a non-negative orthogonal matrix factorization based multi-view clustering image segmentation algorithm(NOMF-MVC ) is proposed. Firstly, multi-view data of an image is extracted, and the manifold learning nonlinear dimensionality reduction method is employed to obtain the spectral embedding matrix of each view. Corresponding spectral block structure is constructed and it is fused into a consistency graph matrix via designed adaptive weights. Secondly, the non-negative embedding matrix is obtained by the non-negative orthogonal matrix factorization of the consistency graph matrix. Finally, the clustering of multi-view features is performed by the non-negative embedding matrix, and thereby image segmentation results are yielded. Comparative experiments on five datasets show certain improvements in segmentation accuracy and time efficiency achieved by NOMF-MVC.
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Received: 16 March 2023
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Fund:National Natural Science Foundation of China(No.51875152), Natural Science Foundation of Shanxi Province(No. |
Corresponding Authors:
ZHANG Rongguo, Ph.D., professor. His research interests include image processing, computer vision and pattern recognition.
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About author:: About Author:CAO Junhui, master student. Her research interests include image processing and computer vision.HU Jing, Ph.D., professor. Her research interests include image processing and pattern recognition.ZHANG Rui, Ph.D., associate professor. His research interests include image proce-ssing and computer vision.LIU Xiaojun, Ph.D., professor. Her research interests include modern design theory and method, pattern recognition. |
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[1] YAO X L, ZHANG R G, HU J, et al. Combining Intrinsic Dimension and Local Tangent Space for Manifold Spectral Clustering Image Segmentation. Soft Computing, 2022, 26: 9557-9572. [2] YANG Y, WANG H.Multi-view Clustering: A Survey. Big Data Mining and Analytics, 2018, 1(2): 83-107. [3] ZHU X F, ZHANG S C, HE W, et al. One-Step Multi-view Spectral Clustering. IEEE Transactions on Knowledge and Data Engineering, 2019, 31(10): 2022-2034. [4] REN P Z, XIAO Y, XU P F, et al. Robust Auto-Weighted Multi-view Clustering//Proc of the 27th International Joint Conference on Artificial Intelligence. San Francisco, USA: IJCAI, 2018: 2644-2650. [5] 胡素婷,沈宗鑫,黄倩倩,等.基于概念分解的显隐空间协同多视图聚类算法.模式识别与人工智能, 2023, 36(2): 160-173. (HU S T, SHEN Z X, HUANG Q Q, et al. Concept Factorization-Based Collaborative Multi-view Clustering Algorithm in Visible and Latent Spaces. Pattern Recognition and Artificial Intelligence, 2023, 36(2): 160-173.) [6] PAN E, KANG Z.Multi-view Contrastive Graph Clustering[C/OL].[2023-03-12].https://arxiv.org/pdf/2110.11842v1.pdf. [7] ZHONG G, SHU T, HUANG G H, et al. Multi-view Spectral Clustering by Simultaneous Consensus Graph Learning and Discretization. Knowledge-Based Systems, 2022, 235. DOI: 10.1016/j.knosys.2021.107632. [8] KUANG D, DING C, PARK H. Symmetric Nonnegative Matrix Factorization for Graph Clustering//Proc of the SIAM International Conference on Data Mining. Philadelphia, USA: SIAM, 2012: 106-117. [9] HU Z X, NIE F P, WANG R, et al. Multi-view Spectral Clustering via Integrating Nonnegative Embedding and Spectral Embedding. Information Fusion, 2020, 55: 251-259. [10] KHAN G A, HU J, LI T R, et al. Multi-view Data Clustering via Non-negative Matrix Factorization with Manifold Regularization. International Journal of Machine Learning and Cybernetics, 2022, 13: 677-689. [11] DING C, LI T, PENG W, et al. Orthogonal Nonnegative Matrix Tri-Factorizations for Clustering//Proc of the 12th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining. New York, USA: ACM, 2006: 126-135. [12] YANG B, ZHANG X T, NIE F P, et al. Fast Multi-view Clus-tering via Nonnegative and Orthogonal Factorization. IEEE Transactions on Image Processing, 2020, 30: 2575-2586. [13] ZHANG X B, YANG Y, ZHAI D H, et al. Local2Global: Unsupervised Multi-view Deep Graph Representation Learning with Nearest Neighbor Constraint. Knowledge-Based Systems, 2021, 231. DOI: 10.1016/j.knosys.2021.107439. [14] CAI E X, HUANG J, HUANG B S, et al. GRAE: Graph Recu-rrent Autoencoder for Multi-view Graph Clustering//Proc of the 4th International Conference on Algorithms, Computing and Artificial Intelligence. New York, USA: ACM, 2021. DOI: 10.1145/3508546.3508618. [15] XIA W, WANG S, YANG M, et al. Multi-view Graph Embedding Clustering Network: Joint Self-Supervision and Block Diagonal Representation. Neural Networks, 2022, 145: 1-9. [16] ANOWAR F, SADAOUI S, SELIM B.Conceptual and Empirical Comparison of Dimensionality Reduction Algorithms(PCA, KPCA, LDA, MDS, SVD, LLE, ISOMAP, LE, ICA, t-SNE). Computer Science Review, 2021, 40. DOI: 10.1016/j.cosrev.2021.100378. [17] HUANG S D, KANG Z, XU Z L.Auto-Weighted Multi-view Clustering via Deep Matrix Decomposition. Pattern Recognition, 2020, 97. DOI: 10.1016/j.patcog.2019.107015. [18] NIE F P, ZHANG R, LI X L.A Generalized Power Iteration Method for Solving Quadratic Problem on the Stiefel Manifold. Science China Information Sciences, 2017, 60. DOI: 10.1007/s11432-016-9021-9. [19] 张荣国,刘小君,董磊,等.物体轮廓形状超像素图割快速提取方法.模式识别与人工智能, 2015, 28(4): 344-353. (ZHANG R G, LIU X J, DONG L, et al. Superpixel Graph Cuts Rapid Algorithm for Extracting Object Contour Shapes. Pattern Recognition and Artificial Intelligence, 2015, 28(4): 344-353.) [20] HU Z X, NIE F P, CHANG W, et al. Multi-view Spectral Clustering via Sparse Graph Learning. Neurocomputing, 2020, 384. DOI: 10.1016/j.neucom.2019.12.004. [21] SUN M J, ZHANG P, WANG S W, et al. Scalable Multi-view Subspace Clustering with Unified Anchors//Proc of the 29th ACM International Conference on Multimedia. New York, USA: ACM, 2021: 3528-3536. [22] TANG C, LI Z L, WANG J, et al. Unified One-Step Multi-view Spectral Clustering. IEEE Transactions on Knowledge and Data Engineering, 2023, 35(6): 6449-6460. [23] LEI T, JIA X H, ZHANG Y N, et al. Superpixel-Based Fast Fuzzy c-means Clustering for Color Image Segmentation. IEEE Transactions on Fuzzy Systems, 2019, 27(9): 1753-1766. [24] JIA X H, LEI T, DU X G, et al. Robust Self-Sparse Fuzzy Clus-tering for Image Segmentation. IEEE Access, 2020, 8: 146182-146195. [25] CHENG B W, MISRA I, SCHWING A G, et al. Masked-Attention Mask Transformer for Universal Image Segmentation//Proc of the IEEE/CVF Conference on Computer Vision and Pattern Recognition. Washington, USA: IEEE, 2022: 1280-1289. [26] LEI T, JIA X H, ZHANG Y N, et al. Significantly Fast and Robust Fuzzy c-means Clustering Algorithm Based on Morphological Reconstruction and Membership Filtering. IEEE Transactions on Fuzzy Systems, 2018, 26(5): 3027-3041. |
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