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Deep learning architectures such as recurrent neural networks and convolutional neural networks have seen many significant improvements and have been applied in the fields of computer vision, speech recognition, natural language processing, audio recognition and more. The most commonly used optimization method for training highly complex and non-convex DNNs is stochastic gradient descent (SGD) or some variant of it. DNNs however typically have some non-convex objective functions which are a bit difficult optimize with SGD. Thus, SGD, at best, finds a local minimum of this objective function. Although the solutions of DNNs are a local minima, they have produced great end results. The 2015 paper The Loss Surfaces of Multilayer Networks by Choromanska et al. showed that as the number of dimensions increases, the difference between local minima decreases significantly, and, therefore, the existence of “bad” local minima decreases exponentially.
In the 2018 Israel Institute of Technology paper we will primarily examine in this article, Train Longer, Generalize Better: Closing the Generalization Gap in Large Batch Training of Neural Networks, Hoffer et al. address a well-known phenomenon regarding large batch sizes during training and the generalization gap. That is, when a large batch size is used while training DNNs, the trained …
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