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Cited by 473

The DOI matches its Crossref record; 60 of the 60 references it cites were found in a registry or an index.

Discriminative Least Squares Regression for Multiclass Classification and Feature Selection

Shiming Xiang, Feiping Nie, Gaofeng Meng, Chunhong Pan, Changshui Zhang·2012·IEEE Transactions on Neural Networks and Learning Systems

Abstract

This paper presents a framework of discriminative least squares regression (LSR) for multiclass classification and feature selection. The core idea is to enlarge the distance between different classes under the conceptual framework of LSR. First, a technique called ε-dragging is introduced to force the regression targets of different classes moving along opposite directions such that the distances between classes can be enlarged. Then, the ε-draggings are integrated into the LSR model for multiclass classification. Our learning framework, referred to as discriminative LSR, has a compact model form, where there is no need to train two-class machines that are independent of each other. With its compact form, this model can be naturally extended for feature selection. This goal is achieved in terms of L2,1 norm of matrix, generating a sparse learning model for feature selection. The model for multiclass classification and its extension for feature selection are finally solved elegantly and efficiently. Experimental evaluation over a range of benchmark datasets indicates the validity of our method.

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Metadata

Authors
Xiang, S., Nie, F., Meng, G., Pan, C., & Zhang, C.
Venue
IEEE Transactions on Neural Networks and Learning Systems
Published
2012-11
Volume
23
Issue
11
Pages
1738-1754
ISSN
  • 2162-237X (ISSN-L)
  • 2162-2388
OpenAlex
W2043080228
Cited by
473
References
60
FWCI
13.11
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Discriminative Least Squares Regression for Multiclass Classification and Feature Selection. https://app.cochat.ai/papers/10.1109/tnnls.2012.2212721
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Xiang, S., Nie, F., Meng, G., Pan, C., & Zhang, C. (2012). Discriminative Least Squares Regression for Multiclass Classification and Feature Selection. IEEE Transactions on Neural Networks and Learning Systems. https://doi.org/10.1109/tnnls.2012.2212721

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