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Nonlinear objectives, nonlinear constraints, non-convex objective, non-convex feasible region.

4 votes
0 answers
229 views

Optimisation over $SO(3)$: is it safe to use a global parametrisation?

I am a functional analyst by training, but I am doing some numerical experiments which require me to minimise continuous functions $f:SO(3)\longrightarrow [0,+\infty)$ using a computer (I know that ea …
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  • 778
3 votes

Example of a differentiable function optimization where derivative free methods are used

I suppose one general situation where Nelder-Mead might perform better is when the objective function is 'simple' at the length scale of the initial simplex, but is very oscillatory at the 'microscopi …
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  • 778
2 votes
Accepted

Weird claims and conclusions in "Introduction to Shape Optimization"

Not an answer, but too long for a comment. The general idea with this stuff seems to be to pair your family $\mathscr{D}$ of admissible domains with a(ny) suitable normed-space $\mathscr{V}$ of vector …
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  • 778
1 vote

Closed Form Solution for Optimization Problem over the Space of Rigid Transforms

This is a bit too long for a comment, so I'll add this as an `answer'; you can decide for yourself whether this does anything towards answering your question. I should reiterate that I am by no means …
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