Multi-view kernel consensus for data analysis

被引:5
|
作者
Salhov, Moshe [1 ]
Lindenbaum, Ofir [2 ]
Aizenbud, Yariv [4 ]
Silberschatz, Avi [3 ]
Shkolnisky, Yoel [4 ]
Averbuch, Amir [1 ]
机构
[1] Tel Aviv Univ, Sch Comp Sci, IL-69978 Tel Aviv, Israel
[2] Tel Aviv Univ, Sch Engn, IL-69978 Tel Aviv, Israel
[3] Yale Univ, Dept Comp Sci, New Haven, CT 06520 USA
[4] Tel Aviv Univ, Sch Math Sci, IL-69978 Tel Aviv, Israel
基金
以色列科学基金会;
关键词
Multi-view; Kernel; Uncovering underlying low dimensional space; View as subsets of features; Ito Lemma; INTRINSIC DIMENSIONALITY ESTIMATOR; DIFFUSION; MANIFOLDS; REDUCTION; EIGENMAPS; MODELS;
D O I
10.1016/j.acha.2019.01.001
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Input data is high-dimensional while the intrinsic dimension of this data maybe low. Data analysis methods aim to uncover the underlying low dimensional structure imposed by the low dimensional hidden parameters. In general, uncovering these hidden parameters is achieved by utilizing distance metrics that considers the set of attributes as a single monolithic set. However, the transformation of a low dimensional phenomena into measurement of high dimensional observations can distort the distance metric. This distortion can affect the quality of the desired estimated low dimensional geometric structure. In this paper, we propose to utilize the redundancy in the feature domain by analyzing multiple subsets of features that are called views. The proposed methods utilize the consensus between different views to extract valuable geometric information that unifies multiple views about the intrinsic relationships among several different observations. This unification enhances the information better than what a single view or a simple concatenations of views can provide. (C) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页码:208 / 228
页数:21
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