6min chapter

The Gradient: Perspectives on AI cover image

Hugo Larochelle: Deep Learning as Science

The Gradient: Perspectives on AI

CHAPTER

The Non-Local Estimation of Manifold Structure

Yashua: You mentioned your non-local estimation of manifold structure paper. I think although this paper is kind of pointing out like a weakness with non-parametric kernel methods, the idea of thinking about manifolds would remind a lot of listeners that some critics perhaps of deep learning today would call deep neural networks and manifold manipulators. Yashua: So instead of estimating it locally around each training example, maybe you should try to capture that regularity by having a neural net produce these directions of variations around each potential location of the data manifold.

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