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Kind of funny but wouldn’t you want to just maximize(distance_left, distance_right) if you wanted the center?

Edit: no, derp, just walked into the same problem lol. Maximize the min should work though



That has a unique solution, so it is infinitely better than the linear error, but is not a nice differentiable signal suitable for controls, I'd bet. But that wasn't in the problem statement.


Seems like you'd want to minimize the distance to the midpoint, but I'm probably missing something.


Fun fact: that's what sum of square does




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