Large margin vs. large volume in transductive learning |
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Authors: | Ran El-Yaniv Dmitry Pechyony Vladimir Vapnik |
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Affiliation: | (1) Computer Science Department, Technion-Israel Institute of Technology, Haifa, 32000, Israel;(2) NEC Laboratories America, Princeton, NJ 08540, USA |
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Abstract: | We consider a large volume principle for transductive learning that prioritizes the transductive equivalence classes according
to the volume they occupy in hypothesis space. We approximate volume maximization using a geometric interpretation of the
hypothesis space. The resulting algorithm is defined via a non-convex optimization problem that can still be solved exactly
and efficiently. We provide a bound on the test error of the algorithm and compare it to transductive SVM (TSVM) using 31
datasets. |
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Keywords: | Transductive learning Large margin Large volume TSVM Learning principles |
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