XOR has no local minima: A case study in neural network error surface analysis

@article{Hamey1998XORHN,
  title={XOR has no local minima: A case study in neural network error surface analysis},
  author={Leonard G. C. Hamey},
  journal={Neural networks : the official journal of the International Neural Network Society},
  year={1998},
  volume={11 4},
  pages={669-681}
}
This paper presents a case study of the analysis of local minima in feedforward neural networks. Firstly, a new methodology for analysis is presented, based upon consideration of trajectories through weight space by which a training algorithm might escape a hypothesized local minimum. This analysis method is then applied to the well known XOR (exclusive-or) problem, which has previously been considered to exhibit local minima. The analysis proves the absence of local minima, eliciting… CONTINUE READING
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