Monday, September 14, 2015

Steps Toward Deep Kernel Methods from Infinite Neural Networks

Trying to connect kernel methods to neural network is the attempt of the day:

Steps Toward Deep Kernel Methods from Infinite Neural Networks by Tamir Hazan, Tommi Jaakkola

Contemporary deep neural networks exhibit impressive results on practical problems. These networks generalize well although their inherent capacity may extend significantly beyond the number of training examples. We analyze this behavior in the context of deep, infinite neural networks. We show that deep infinite layers are naturally aligned with Gaussian processes and kernel methods, and devise stochastic kernels that encode the information of these networks. We show that stability results apply despite the size, offering an explanation for their empirical success.

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