Continuous parameters
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Implement continuous velocities in the 1D, 2-ball, 2-position case. Does this reduce the endorsement of the video where B follows A?
The issue here was that if A had moved in the opposite direction or if it had stayed still, then B's movement would definitely have changed. But in the continuous case, there are lots of params where that wouldn't be the case. If A slows down only a little bit, B will continue the way it has been.
Note that interpreting the counterfactual as "if A hadn't existed" would also potentially help with this, but it's maybe equivalent to A going in a wildly different direction.
Does it make sense to use variational for this?
nope, just use gaussian noise and an observe statement
state space is to large...... probably better to discretize at finer and finer resolution.....