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    Lecture 2: Mathematics for Deep Neural Networks: Theory for shallow networks

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    Date
    2019-03-08
    Author
    Schmidt-Hieber, Johannes
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    Abstract
    We start with the universal approximation theorem and discuss several proof strategies that provide some insights into functions that can be easily approximated by shallow networks. Based on this, a survey on approximation rates for shallow networks is given. It is shown how this leads to estimation rates. In the lecture, we also discuss methods that fit shallow networks to data.
    URI
    http://hdl.handle.net/1853/60935
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    • Transdisciplinary Research Institute for Advancing Data Science (TRIAD) Lectures [16]

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