Subspace Learning with Partial Information

Alon Gonen; Dan Rosenbaum; Yonina Eldar; Shai Shalev-Shwartz

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arXiv · 1402.4844

Subspace Learning with Partial Information

Alon Gonen·Dan Rosenbaum·Yonina Eldar·Shai Shalev-Shwartz

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Abstract

The goal of subspace learning is to find a $k$-dimensional subspace of $\mathbb{R}^d$, such that the expected squared distance between instance vectors and the subspace is as small as possible. In this paper we study subspace learning in a partial information setting, in which the learner can only observe $r \le d$ attributes from each instance vector. We propose several efficient algorithms for this task, and analyze their sample complexity

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Alon Gonen, Dan Rosenbaum, Yonina Eldar, Shai Shalev-Shwartz. 2014-02-19. Subspace Learning with Partial Information. https://arxiv.org/abs/1402.4844

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