NDLI: Epoch gradient descent for smoothed hinge-loss linear SVMs

Content Provider	IEEE Xplore Digital Library
Author	Soomin Lee Nedic, A.
Copyright Year	2013
Description	Author affiliation: Fac. of Ind. & Enterprise Syst. Eng., Univ. of Illinois, Urbana, IL, USA (Nedic, A.) \|\| Electr. & Comput. Eng., Univ. of Illinois, Urbana, IL, USA (Soomin Lee)
Abstract	A gradient descent method for strongly convex problems with Lipschitz continuous gradients requires only $O(log_{q}$ ε) iterations to obtain an ε-accurate solution (q is a constant in (0; 1)). Support Vector Machines (SVMs) penalized with the popular hinge-loss are strongly convex but they do not have Lipschitz continuous gradient. We find SVMs with strong-convexity and Lipschitz continuous gradient using Nesterov's smooth approximation technique [1]. The simple gradient method applied on the smoothed SVM converges fast but the obtained solution is not the exact maximum margin separating hyperplane. To obtain an exact solution, as well as a fast convergence, we propose a hybrid approach, epoch gradient descent.
Starting Page	4789
Ending Page	4794
File Size	350713
Page Count	6
File Format	PDF
ISBN	9781479901777
ISSN	07431619
e-ISBN	9781479901784
DOI	10.1109/ACC.2013.6580579
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-06-17
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Smoothing methods Convergence Support vector machines Vectors Approximation methods Training Fasteners
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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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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