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IEEE Transactions on Pattern Analysis and Machine Intelligence
Article . 2012 . Peer-reviewed
License: IEEE Copyright
Data sources: Crossref
https://doi.org/10.1109/cvpr.2...
Article . 2009 . Peer-reviewed
Data sources: Crossref
https://doi.org/10.1109/cvprw....
Article . 2009 . Peer-reviewed
Data sources: Crossref
DBLP
Article . 2025
Data sources: DBLP
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Ensemble manifold regularization

Authors: Bo Geng; Dacheng Tao; Chao Xu 0006; Linjun Yang; Xian-Sheng Hua 0001;

Ensemble manifold regularization

Abstract

We propose an automatic approximation of the intrinsic manifold for general semi-supervised learning (SSL) problems. Unfortunately, it is not trivial to define an optimization function to obtain optimal hyperparameters. Usually, cross validation is applied, but it does not necessarily scale up. Other problems derive from the suboptimality incurred by discrete grid search and the overfitting. Therefore, we develop an ensemble manifold regularization (EMR) framework to approximate the intrinsic manifold by combining several initial guesses. Algorithmically, we designed EMR carefully so it 1) learns both the composite manifold and the semi-supervised learner jointly, 2) is fully automatic for learning the intrinsic manifold hyperparameters implicitly, 3) is conditionally optimal for intrinsic manifold approximation under a mild and reasonable assumption, and 4) is scalable for a large number of candidate manifold hyperparameters, from both time and space perspectives. Furthermore, we prove the convergence property of EMR to the deterministic matrix at rate root-n. Extensive experiments over both synthetic and real data sets demonstrate the effectiveness of the proposed framework.

Related Organizations
Keywords

Support Vector Machine, Databases, Factual, Data Mining, Algorithms, Pattern Recognition, Automated

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
214
Top 1%
Top 1%
Top 10%
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