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Shaosheng Xu

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A SOM-based Gradient-Free Deep Learning Method with Convergence Analysis

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Jan 12, 2021
Shaosheng Xu, Jinde Cao, Yichao Cao, Tong Wang

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As gradient descent method in deep learning causes a series of questions, this paper proposes a novel gradient-free deep learning structure. By adding a new module into traditional Self-Organizing Map and introducing residual into the map, a Deep Valued Self-Organizing Map network is constructed. And analysis about the convergence performance of such a deep Valued Self-Organizing Map network is proved in this paper, which gives an inequality about the designed parameters with the dimension of inputs and the loss of prediction.

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