NDLI: Dimensionality reduction by unsupervised regression

Content Provider	IEEE Xplore Digital Library
Author	Carreira-Perpinan, M.A. Zhengdong Lu
Copyright Year	2008
Description	Author affiliation: Univ. of California, Merced, Merced, CA (Carreira-Perpinan, M.A.)
Abstract	We consider the problem of dimensionality reduction, where given high-dimensional data we want to estimate two mappings: from high to low dimension (dimensionality reduction) and from low to high dimension (reconstruction). We adopt an unsupervised regression point of view by introducing the unknown low-dimensional coordinates of the data as parameters, and formulate a regularised objective functional of the mappings and low-dimensional coordinates. Alternating minimisation of this functional is straightforward: for fixed low-dimensional coordinates, the mappings have a unique solution; and for fixed mappings, the coordinates can be obtained by finite-dimensional non-linear minimisation. Besides, the coordinates can be initialised to the output of a spectral method such as Laplacian eigenmaps. The model generalises PCA and several recent methods that learn one of the two mappings but not both; and, unlike spectral methods, our model provides out-of-sample mappings by construction. Experiments with toy and real-world problems show that the model is able to learn mappings for convoluted manifolds, avoiding bad local optima that plague other methods.
Starting Page	1
Ending Page	8
File Size	993477
Page Count	8
File Format	PDF
ISBN	9781424422425
ISSN	10636919
DOI	10.1109/CVPR.2008.4587666
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-06-23
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Laplace equations Spirals Principal component analysis Parameter estimation Maximum likelihood estimation Prototypes Neural networks Backpropagation Learning systems
Content Type	Text
Resource Type	Article
Subject	Computer Vision and Pattern Recognition Software

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

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