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LearningofDiscreteGraphicalModelswithNeural Networks SupplementaryMaterial

Neural Information Processing Systems

This document contains supplementary materials for the paper "Learning of Discrete Graphical Models with Neural Networks". This is an adversarial experiment for NeurISE when compared to GRISE. GRISE will learn this model in the second level of its hierarchy with O(p) parameters per optimization. The neural net used here is [d=3, w=15]. The ฮธ parameters here are chosen uniformly from [0.3,1.3].






invariantton 1 5 10 15 20 101 105 109 1013 1017

Neural Information Processing Systems

The rectified linear unit (ReLU) [Fukushima, 1980, Nair and Hinton, 2010] activation has been by far the most widely used nonlinearity and successful building block in deep neural networks (DNNs).




SphericalMotionDynamics

Neural Information Processing Systems

Then dynamics ofwt is like a physical process - a satellite's motion around the earth (see illustration in Fig.1): according to