By Michael Kouritzin and Daniel Richard

A topological neural network (TNN), which takes data from a Tychonoff topological space instead of the usual finite dimensional space, is introduced. As a consequence, a distributional neural network (DNN) that takes Borel measures as data is also introduced. Combined these new neural networks facilitate things like recognizing long range... Show more

May 26, 2023

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Universal Approximation and the Topological Neural Network

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