> 2. (JuMP Specific) - Should I specify my known positions as model 
> variables with equality constraints, or just normal julia variables that 
> show up in my objective function? 
>

Don't specify them as equality constraints. Build your function with those 
variables removed from the optimization altogether. Perhaps that's what you 
meant by "normal julia variables"? In any event, unconstrained optimization 
is much more robust and mature, and you will likely get better results the 
fewer constraints you give.  

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