Corpus ID: 236493495

Modern Non-Linear Function-on-Function Regression

  title={Modern Non-Linear Function-on-Function Regression},
  author={Aniruddha Rajendra Rao and Matthew L. Reimherr},
  • Aniruddha Rajendra Rao, M. Reimherr
  • Published 2021
  • Computer Science, Mathematics
  • ArXiv
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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