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  Convex Perturbations for Scalable Semidefinite Programming

Kulis, B., Sra, S., & Dhillon, I. (2009). Convex Perturbations for Scalable Semidefinite Programming. Proceedings of the Twelfth International Conference on Artificial Intelligence and Statistics (AIStats 2009), 296-303.

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 作成者:
Kulis, B, 著者
Sra, S1, 著者           
Dhillon, I, 著者
van Dyk M. Welling, D., 編集者
所属:
1Department Empirical Inference, Max Planck Institute for Biological Cybernetics, Max Planck Society, ou_1497795              

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 要旨: Many important machine learning problems are modeled and solved via semidefinite programs; examples include metric learning, nonlinear embedding, and certain clustering problems. Often, off-the-shelf software is invoked for the associated optimization, which can be inappropriate due to excessive computational and storage requirements. In this paper, we introduce the use of convex perturbations for solving semidefinite programs (SDPs), and for a specific perturbation we derive an algorithm that has several advantages over existing techniques: a) it is simple, requiring only a few lines of Matlab, b) it is a first-order method, and thereby scalable, and c) it can easily exploit the structure of a given SDP (e.g., when the constraint matrices are low-rank, a situation common to several machine learning SDPs). A pleasant byproduct of our method is a fast, kernelized version of the large-margin nearest neighbor metric learning algorithm. We demonstrate that our algorithm is effective in finding fast approximations to large-scale SDPs arising in some machine learning applications.

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 日付: 2009-04
 出版の状態: 出版
 ページ: -
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 識別子(DOI, ISBNなど): URI: http://jmlr.csail.mit.edu/proceedings/papers/v5/kulis09a.html
BibTex参照ID: 5650
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イベント名: Twelfth International Conference on Artificial Intelligence and Statistics
開催地: Clearwater Beach, FL, USA
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出版物名: Proceedings of the Twelfth International Conference on Artificial Intelligence and Statistics (AIStats 2009)
種別: 学術雑誌
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出版社, 出版地: Cambridge, MA, USA : MIT Press
ページ: - 巻号: - 通巻号: - 開始・終了ページ: 296 - 303 識別子(ISBN, ISSN, DOIなど): -