Adjusting Nelder-Mead

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Is there a way to adjust the α (reflection), β (expansion), γ (contraction), or δ (shrink) parameters in Nelder-Mead optimization to account for overdispersed data distribution?

I've tried setting α as 1 or 2, and β as 0.5, 2, or 4, but still without luck reaching convergence.

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