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Journal of ZheJiang University (Engineering Science)  2026, Vol. 60 Issue (9): 1991-1997    DOI: 10.3785/j.issn.1008-973X.2026.09.016
    
Semi-supervised multi-view similarity and discriminative representation joint learning
Yaru HAO1(),Yuangao AI1,Peng ZHANG1,Wei WU2,*()
1. Three Gorges Hydropower Plant, China Yangtze Power Limited Company, Yichang 443134, China
2. Hainan Institute, Zhejiang University, Sanya 572025, China
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Abstract  

A semi-supervised multi-view similarity and discriminative representation joint learning method (SMLSDR) was proposed aiming at the problem that existing semi-supervised multi-view learning methods fail to fully mine complementary information among different views. In the labeled space, a deep view-specific representation learning network was constructed to fully explore and utilize complementary information across views. In the unlabeled space, a local structure-based cross fusion strategy of similarity matrices was adopted to fully excavate and use inter-view complementary information. Spectral clustering was employed to design a label propagation strategy in order to realize semi-supervised learning. Extensive experiments were conducted on five multi-view datasets in the field of machine learning to verify the effectiveness of SMLSDR. The experimental results demonstrated that the proposed SMLSDR outperformed baseline methods. Further ablation experiments prove that both deep discriminative representation learning in labeled space and similarity matrix fusion in unlabeled space contribute positively to semi-supervised classification.



Key wordsmulti-view representation learning      semi-supervised learning      discriminative information      structural information      spectral clustering     
Received: 24 September 2025      Published: 20 July 2026
CLC:  TP 311  
  TP 309  
Fund:  国家自然科学基金资助项目(62561057,62566020);浙江大学自主部署启动项目(6602-A12202).
Corresponding Authors: Wei WU     E-mail: hyr2018@whu.edu.cn;wuweiux@zju.edu.cn
Cite this article:

Yaru HAO,Yuangao AI,Peng ZHANG,Wei WU. Semi-supervised multi-view similarity and discriminative representation joint learning. Journal of ZheJiang University (Engineering Science), 2026, 60(9): 1991-1997.

URL:

https://www.zjujournals.com/eng/10.3785/j.issn.1008-973X.2026.09.016     OR     https://www.zjujournals.com/eng/Y2026/V60/I9/1991


半监督多视图相似性和鉴别表示联合学习

针对现有半监督多视图学习方法视图间互补信息挖掘不充分的问题,提出半监督多视图相似性和鉴别表示联合学习方法(SMLSDR). 在标签空间,通过构建各视图深度特定表示学习网络来充分挖掘和利用视图间的互补信息.在无标签空间,采用基于局部结构的相似矩阵交叉融合策略来充分挖掘和利用视图间的互补信息. 利用谱聚类设计标签传播策略,实现半监督学习. 在机器学习领域5个多视图数据上进行大量的实验,验证SMLSDR的有效性. 实验结果表明,所提方法SMLSDR的性能优于基线方法.进一步的消融实验证明,标签空间的深度鉴别表示学习和无标签空间的相似矩阵融合都对半监督分类有一定的贡献.


关键词: 多视图表示学习,  半监督学习,  鉴别信息,  结构信息,  谱聚类 
Fig.1 Overall architecture and training process of SMLSDR
数据集视图数视图描述类别数样本数
WebKB2Page(3000)、Link(1840)21 051
AD3Base URL(495)、Image URL(457)、Target URL(472)23 279
Caltech-76Gabor(48)、WM(40)、CENTRIST(254)、HOG(1984)、GIST(512)、LBP(928)71 474
NUS-Object5CH(64)、BCM(225)、CORR(144)、EDH(73)、WT(128)3130 000
Noisy MNIST2Rotate(784)、Noise(784)1070 000
Tab.1 Introduction and statistics of datasets
Fig.2 Performance comparison of comparison methods on WebKB
Fig.3 Performance comparison of comparison methods on AD
Fig.4 Performance comparison of comparison methods on Caltech-7
Fig.5 Performance comparison of comparison methods on NUS-Object
Fig.6 Performance comparison of comparison methods on Noisy MNIST
数据集Acc/%
SMLSDR?DDR?SMF
WebKB99.2196.3394.85
AD97.5895.2494.76
Caltech-797.5695.4393.42
NUS-Object44.8640.2836.45
Noisy MNIST98.8597.1496.55
Tab.2 Performance of SMLSDR on all datasets
数据集Acc/%
LFGCFLCF
WebKB95.3197.8999.23
AD94.8596.5297.81
Caltech-792.6394.7597.76
NUS-Object37.3638.8544.68
Noisy MNIST95.8196.6498.78
Tab.3 Performance comparison of similar matrix fusion strategy on all datasets
Fig.7 Influence of parameter K on performance of SMLSDR model in different dataset
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