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What does the global minima of a non-convex loss function look like?

For LeNet trained on MNIST with the lowest possible loss (global minima),

  • What would the test error rate look like? Is there a benchmark for best possible performance?
  • Can we achieve global minima on non-convex loss functions for a classification task with a minimum number of parameters? Or conversely, how does adding more parameters to a NN help with this?

submitted by /u/liqui_date_me
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