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Topological Data Analysis Based Approaches to Deep Learning

November 14, 2018

Deep neural networks are a powerful and fascinating methodology for solving problems with large and complex data sets. They use directed graphs as a template for very large computations. Constructing these graphs is a very interesting problem, and one which is mostly solved in an ad hoc fashion. One exception to this observation is the collection of convolutional neural nets, or CNN’s, which are applicable for particular data formats, such as images or time series. Convolutional neural networks have two important properties.

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Topological Data Analysis Based Approaches to Deep Learning