计算机科学 ›› 2023, Vol. 50 ›› Issue (2): 138-145.doi: 10.11896/jsjkx.220400230
王雷1,2, 杜亮1,2, 周芃3
WANG Lei1,2, DU Liang1,2, ZHOU Peng3
摘要: 多核学习(Multiple Kernel Learning,MKL)的目标是寻找一个最优的一致性核函数。在层次化多核聚类算法(HMKC)中,通过从高维空间中对样本特征进行逐层提取的方式来实现最大化地保留有效信息,但是却忽略了层与层之间的信息交互。该模型中只有相邻层中对应的结点会进行信息交互,对于其他结点来说是孤立的,而采用全连接的方式又会削弱最终一致性矩阵的多样性。因此,文中提出了一种基于稀疏连接的层次化多核K-Means算法(Sparse Connectivity Hierarchical Multiple Kernel K-Means,SCHMKKM)。该算法通过稀疏率来控制分配矩阵以达到稀疏连接的效果,从而将层与层之间信息蒸馏得到的特征进行局部融合。最后,在多个数据集上进行聚类分析,并在实验中与全连接的层次化多核K-Means算法(FCHMKKM)进行实验对比,证明了具有更多差异性的信息融合有利于学习更好的一致性划分矩阵,并且稀疏连接的融合策略优于全连接的策略。
中图分类号:
[1]MACQUEEN J.Some methods for classification and analysis of multivariate observations[C]//Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability.California:University of California Press,1967:281-297. [2]SCHÖLKOPF B,SMOLA A,MÜLLER K R.Nonlinear component analysis as a kernel eigenvalue problem[J].Neural Computation,1998,10(5):1299-1319. [3]JIAO R H,LIU S L,WEN W,et al.Incremental kernel fuzzy c-means with optimizing cluster center initialization and delivery[J].Kybernetes:The International Journal of Systems and Cybernetics,2016,45(8):1273-1291. [4]KANG Z,PENG C,CHENG Q,et al.Unified spectral clustering with optimal graph[C]//Thirty-Second AAAI Conference on Artificial Intelligence.Palo Alto,CA:AAAI Press,2017:3366-3373. [5]SHI Y,TRANCHEVENT L,LIU X H,et al.Optimized data fusion for kernel k-means clustering.[J].IEEE Transactions on Pattern Analysis and Machine Intelligence,2012,34(5):1031-1039. [6]XU Z L,JIN R,KING I,et al.An extended level method for efficient multiple kernel learning[C]//Advances in Neural Information Processing Systems 21.Massachusetts:MIT Press,2009:1825-1832. [7]DU L,ZHOU P,SHI L,et al.Robust multiple kernel k-means using l21-norm[C]//Proceedings of the 24th International Conference on Artificial Intelligence.Palo Alto,CA:AAAI Press,2015:3476-3482. [8]PATEL V M,VIDAL R.Kernel sparse subspace clustering[C]//2014 IEEE International Conference on Image Processing(ICIP).Piscataway:IEEE Press,2014:2849-2853. [9]SUN M J,WANG S W,ZHANG P,et al.Projective Multiple Kernel Subspace Clustering[J].IEEE Transactions on Multimedia,2021,2567-2579. [10]LIU J Y,LIU X W,WANG S W,et al.Hierarchical Multiple Kernel Clustering[C]//Proceedings of the Thirty-fifth AAAI Conference on Artificial Intelligence.Palo Alto,CA:AAAI Press,2021:8671-8679. [11]EN Z,ZHOU S H,WANG Y Q,et al.Optimal Neighborhood Kernel Clustering with Multiple Kernels[C]//Proceedings of the Thirty-First AAAI Conference on Artificial Intelligence.Palo Alto,CA:AAAI Press,2017:2266-2272. [12]LIU J Y,LIU X W,XIONG J,et al.Optimal NeighborhoodMultiple Kernel Clustering with Adaptive Local Kernels[J].IEEE Transactions on Knowledge and Data Engineering,2021,34(6):2872-2885. [13]SPRINGENBERG J T,DOSOVITSKIY A,BROX T,et al.Striving for simplicity:The all convolutional net[J].arXiv:1412.6806,2014. [14] CONSTANTIN M D,ELENA M,PETER S,et al.Scalabletraining of artificial neural networks with adaptive sparse connectivity inspired by network science[J].Nature Communications,2018,9(1):2383-2383. [15]LECUN Y,BENGIO Y,HINTON G.Deep learning[J].Nature,2015,521(7553):436-444. [16]LIU X W,DOU Y,YIN J P,et al.2016.Multiple Kernel k-Means Clustering with Matrix-Induced Regularization[C]//Proceedings of the Thirtieth AAAI Conference on Artificial Intelligence. Palo Alto,CA:AAAI Press,2016:1888-1894. [17]LI M M,LIU X W,WANG L,et al.Multiple Kernel Clustering with Local Kernel Alignment Maximization[C]//Proceedings of the Twenty-Fifth International Joint Conference on Artificial Intelligence.San Francisco:Morgan Kaufmann Press,2016:1704-1710. [18]KANG Z,WEN L J,CHEN W Y,et al.Low-rank kernel lear-ning for graph-based clustering[J].Knowledge Based Systems,2019 163(JAN.1):510-517. [19]KANG Z,NIE F P,WANG J,et al.Multiview Consensus Graph Clustering[J].IEEE Transactions on Image Processing,2019,28(3):1261-1270. [20]YANG C,REN Z W,SUN Q S,et al.Joint Correntropy Metric Weighting and Block Diagonal Regularizer for Robust Multiple Kernel Subspace Clustering[J].Information Sciences,2019,500:48-66. |
[1] | 戴小路, 汪廷华, 周慧颖. 基于加权马氏距离的模糊多核支持向量机 Fuzzy Multiple Kernel Support Vector Machine Based on Weighted Mahalanobis Distance 计算机科学, 2022, 49(11A): 210800216-5. https://doi.org/10.11896/jsjkx.210800216 |
[2] | 袁晓磊, 岳晓峰, 方博, 马国元. 基于点对特征及分层全连接聚类的三维目标识别方法 Three-dimensional Target Recognition Method Based on Pair Point Feature and HierarchicalComplete-linkage Clustering 计算机科学, 2021, 48(6A): 127-131. https://doi.org/10.11896/jsjkx.200800035 |
[3] | 刘梦炀, 武利娟, 梁慧, 段旭磊, 刘尚卿, 高一波. 一种高精度LSTM-FC大气污染物浓度预测模型 A Kind of High-precision LSTM-FC Atmospheric Contaminant Concentrations Forecasting Model 计算机科学, 2021, 48(6A): 184-189. https://doi.org/10.11896/jsjkx.200600090 |
[4] | 张杰, 白光伟, 沙鑫磊, 赵文天, 沈航. 基于时空特征的移动网络流量预测模型 Mobile Traffic Forecasting Model Based on Spatio-temporal Features 计算机科学, 2019, 46(12): 108-113. https://doi.org/10.11896/jsjkx.181102207 |
[5] | 钟锐, 吴怀宇, 何云. 基于局部融合特征与分层增量树的快速人脸识别算法 Fast Face Recognition Algorithm Based on Local Fusion Feature and Hierarchical Incremental Tree 计算机科学, 2018, 45(6): 308-313. https://doi.org/10.11896/j.issn.1002-137X.2018.06.054 |
[6] | 王铁建,吴飞,荆晓远. 基于多核字典学习的软件缺陷预测 Multiple Kernel Dictionary Learning for Software Defect Prediction 计算机科学, 2017, 44(12): 131-134. https://doi.org/10.11896/j.issn.1002-137X.2017.12.026 |
[7] | 陈彤彤,丁昕苗,柳婵娟,邹海林,周树森,刘影. 一种基于示例非独立同分布的多示例多标签分类算法 Multi-instance Multi-label Learning Algorithm by Treating Instances as Non-independent Identically Distributed Samples 计算机科学, 2016, 43(2): 287-292. https://doi.org/10.11896/j.issn.1002-137X.2016.02.060 |
[8] | 沈健,蒋芸,张亚男,胡学伟. 一种基于样本加权的多尺度核支持向量机方法 Novel Multi-scale Kernel SVM Method Based on Sample Weighting 计算机科学, 2016, 43(12): 139-145. https://doi.org/10.11896/j.issn.1002-137X.2016.12.025 |
[9] | 李谦,景丽萍,于剑. 基于多核学习的投影非负矩阵分解算法 Multi-kernel Projective Nonnegative Matrix Factorization Algorithm 计算机科学, 2014, 41(2): 64-67. |
[10] | 王昕,刘颖,范九伦. 基于多核Fisher判别分析的人脸特征提取 Face Feature Extraction Based on Weighted Multiple Kernel Fisher Discriminant Analysis 计算机科学, 2012, 39(9): 262-265. |
[11] | . 大型复杂软件系统安全需求的体系结构模型 计算机科学, 2007, 34(12): 260-264. |
[12] | 左天军 朱智林 韩俊刚 陈平. Java虚拟机动态类加载的形式化模型 计算机科学, 2005, 32(7): 209-213. |
|