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Statistical model-based evaluation of neural networks

Machine Learning 2020-11-19 v1

Abstract

Using a statistical model-based data generation, we develop an experimental setup for the evaluation of neural networks (NNs). The setup helps to benchmark a set of NNs vis-a-vis minimum-mean-square-error (MMSE) performance bounds. This allows us to test the effects of training data size, data dimension, data geometry, noise, and mismatch between training and testing conditions. In the proposed setup, we use a Gaussian mixture distribution to generate data for training and testing a set of competing NNs. Our experiments show the importance of understanding the type and statistical conditions of data for appropriate application and design of NNs

Keywords

Cite

@article{arxiv.2011.09015,
  title  = {Statistical model-based evaluation of neural networks},
  author = {Sandipan Das and Prakash B. Gohain and Alireza M. Javid and Yonina C. Eldar and Saikat Chatterjee},
  journal= {arXiv preprint arXiv:2011.09015},
  year   = {2020}
}
R2 v1 2026-06-23T20:19:59.266Z