Deep Approximation via Deep Learning

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:Zuowei Shen (National University of Singapore)
: 2024-12-12 16:30
:Conference Room S103 at Experiment Building at Haiyun Campus

Speaker:Zuowei Shen (National University of Singapore)

Time:2024-12-12, 16:30

Location:Conference Room S103 at Experiment Building at Haiyun Campus

Abstract:

The primary task of many applications is approximating/estimating a function  through samples drawn from a probability distribution on the input space. The deep approximation is to approximate a function by compositions of many layers of simple functions, that can be viewed as a series of nested feature extractors. The key idea of deep learning network is to convert layers of compositions to layers of tuneable parameters that can be adjusted through a learning process, so that it achieves a good approximation with respect to the input data. In this talk, we shall discuss mathematical theory behind this new approach and approximation rate of deep network; we will also show how this new approach  differs from the classic approximation theory, and how this new theory can be used to understand and design deep learning networks.