I added mechanism design to our iTop tool, see also my last post. This allows to play with the force inverter problem. Volume constraint bounds can be switched, regularization can be disabled by setting "reg. value" to one. It makes sense to play with "start optimization from current design". Local solutions are really a problem. Sometimes it helps to play with the physical lower bound (rho^p) and penalization values.
Clearly, the results are not necessarily more "desirable" than the volume constraint results. But IMHO this is not the point. Here not the practical relevance of the result is interesting but the strong self-penalizing effect.
BTW, I finished my PhD! :) More to write about this next week when I officially publish my thesis (online).
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