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Neural Networks and Deep Learning
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How does the brain do it?
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If features are complex enough, anything can be classified?
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Single neurons are not able to solve complex tasks (linear
decision boundaries). More layers of linear units are not enough (still linear).
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How can we learn the weights?
Theoretical result [Cybenko, 1989]: 2-layer net with linear output can approximate any continuous function over compact domain to arbitrary accuracy (given enough hidden units!)
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Why use Deep Multi Layered Models?
Is there a theoretical justification? No
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Neural Network examples
Standard NN Convolutional NN Recurrent NN
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No closed form solution for the Maximum Likelihood for this
model!
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Feed forward Networks
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Books and Resources We will mostly follow Deep Learning by Ian Goodfellow,Yoshua Bengio and Aaron Courville (MIT Press, 2016) Stanford CS 231n: by Li, Karpathy & Johnson Neural Networks and Deep Learning by Michael Nielsen Bishop - Pattern Recognition And Machine Learning - Springer 2006 Uncertainty in Deep Learning Yarin Gal Department of Engineering University of Cambridge
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Books and Resources Probabilistic machine learning and artificial intelligence Zoubin Ghahramani1
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