# Modern Non-Linear Function-on-Function Regression

@article{Rao2021ModernNF, title={Modern Non-Linear Function-on-Function Regression}, author={Aniruddha Rajendra Rao and Matthew L. Reimherr}, journal={ArXiv}, year={2021}, volume={abs/2107.14151} }

We introduce a new class of non-linear function-on-function regression models for functional data using neural networks. We propose a framework using a hidden layer consisting of continuous neurons, called a continuous hidden layer, for functional response modeling and give two model fitting strategies, Functional Direct Neural Network (FDNN) and Functional Basis Neural Network (FBNN). Both are designed explicitly to exploit the structure inherent in functional data and capture the complex… Expand

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