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Add an argument to write Hessian from Laplace algorithm to a file #3260

@avehtari

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@avehtari

Laplace algorithm computes Hessian at the mode, but it is not available for the user. The Hessian would be useful for

  • computing the normalization term of the normal approximation, which would help to estimate marginal likelihood (we have a use case)
  • computing normal approximation based sd and SE without drawing from the normal distribution, which would be useful for very big data and close to normal posterior
  • for algorithm development for algorithms that start with mode and Hessian, like CCD

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