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Implement gradient support for complex types #1366

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@educhesne

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@educhesne

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The question arose in PR #1303 to support complex gradient.

There are two conventions regarding complex gradient:

  • the holomorphic compatible gradient, as in JAX
  • its conjugate, the gradient-descent compatible gradient, as in torch

At the moment verify_grad is not defined on complex gradient, and anyway not all Op accepts complex inputs.

So the current issue can serve two purposes:

  • register interests in having complex gradients (and complex Op)
  • deciding which complex gradient convention to follow

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