Manifold Alignment via Local Block Coordinates

被引:0
|
作者
Yang, Gelan [1 ]
Xu, Xue [2 ]
Tu, Li [1 ]
机构
[1] Hunan City Univ, Dept Comp Sci, Yiyang, Peoples R China
[2] Univ Sci & Technol China, Dept Automat, Hefei, Peoples R China
基金
芬兰科学院;
关键词
manifold alignment; local block coordinate; manifold constraint; Data matching; NONLINEAR DIMENSIONALITY REDUCTION;
D O I
10.1109/WKDD.2009.186
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
We consider the problem of the correspondence leaning of two high-dimensional data sets via the manifold leaning techniques. It's convenient for us to find the shared latent structure of the high-dimensional data sets, if they can be aligned in a uniformed low-dimensional data space. A local affine technique to address this problem is present here. Our method preserves more geometrical knowledge of the high-dimensional data sets and can easily project the new test data into the aligned data space by the local transformation obtained during the training step. The effectiveness of our algorithm is validated by applying it to the problem of image sequences alignment.
引用
收藏
页码:697 / +
页数:2
相关论文
共 50 条
  • [1] Local Coordinates Alignment (LCA): A novel manifold learning approach
    Zhang, Tianhao
    Li, Xuelong
    Tao, Dacheng
    Yang, Jie
    INTERNATIONAL JOURNAL OF PATTERN RECOGNITION AND ARTIFICIAL INTELLIGENCE, 2008, 22 (04) : 667 - 690
  • [2] Unsupervised Iterative Manifold Alignment via Local Feature Histograms
    Fan, Ke
    Mian, Ajrnal
    Liu, Wanquan
    Li, Lin
    2014 IEEE WINTER CONFERENCE ON APPLICATIONS OF COMPUTER VISION (WACV), 2014, : 572 - 579
  • [3] Learning image manifold via local tensor subspace alignment
    Wu, Songsong
    Jing, Xiaoyuan
    Wei, Zhisen
    Yang, Jian
    Yang, Jingyu
    NEUROCOMPUTING, 2014, 139 : 22 - 33
  • [4] Manifold Alignment via Global and Local Structures Preserving PCA Framework
    Abeo, Timothy Apasiba
    Shen, Xiang-Jun
    Ganaa, Ernest Domanaanmwi
    Zhu, Qian
    Bao, Bing-Kun
    Zha, Zheng-Jun
    IEEE ACCESS, 2019, 7 : 38123 - 38134
  • [5] Local coordinates alignment and its linearization
    Zhang, Tianhao
    Li, Xuelong
    Tao, Dacheng
    Yang, Jie
    NEURAL INFORMATION PROCESSING, PART I, 2008, 4984 : 643 - +
  • [6] Local Coordinates Alignment With Global Preservation for Dimensionality Reduction
    Chen, Jing
    Ma, Zhengming
    Liu, Yang
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2013, 24 (01) : 106 - 117
  • [7] Fuzzy granule manifold alignment preserving local topology
    Li, Wei
    Xue, Jianwu
    Chen, Yumin
    Zhang, Xuebai
    Tang, Chao
    Zhang, Qiang
    Gao, Yifang
    IEEE Access, 2020, 8 : 178695 - 178705
  • [8] Fuzzy Granule Manifold Alignment Preserving Local Topology
    Li, Wei
    Xue, Jianwu
    Chen, Yumin
    Zhang, Xuebai
    Tang, Chao
    Zhang, Qiang
    Gao, Yifang
    IEEE ACCESS, 2020, 8 : 178695 - 178705
  • [9] Classification via local manifold approximation
    Li, Didong
    Dunson, David B.
    BIOMETRIKA, 2020, 107 (04) : 1013 - 1020
  • [10] Incremental manifold learning via tangent space alignment
    Liu, Xiaoming
    Yin, Jianwei
    Feng, Zhilin
    Dong, Jinxiang
    ARTIFICIAL NEURAL NETWORKS IN PATTERN RECOGNITION, PROCEEDINGS, 2006, 4087 : 107 - 121