[EM] Exact spatial model probabilities?

[Forest Simmons]

That's exactly what it is HMC. We're driving on a rough road with lots of
potholes right now I will write more later

El mar., 25 de ene. de 2022 7:02 p. m., Daniel Carrera <dcarrera at gmail.com>
escribió:

>
> On Tue, Jan 25, 2022 at 8:52 PM Forest Simmons <forest.simmons21 at gmail.com>
> wrote:
>
>> We have the force field, and I proposed using it to find sinks as
>> possibly stable equilibria positions ... local minima of the
>> electo-potential V.
>>
>> All we have to do is add some inertia to the test point and set it in
>> motion. Then keep track of the time average, and we have a space average
>> for the basin to which the particle is limited by its initial energy.
>>
>>>
> What you are saying sounds similar to how Hamiltonian Monte Carlo sees a
> probability distribution as a potential and traces orbits about that
> potential to efficiently sample from it. However, I must confess that I
> haven't quite understood how you would turn the problem Kristofer wants to
> solve into a potential V. But if you can express the problem in the
> language that HMC can understand, there are popular tools used by
> statisticians (e.g. the Stan language) that have HMC (and the
> closely related and very fast No U-Turn Sampler) already implemented.
>
> https://en.wikipedia.org/wiki/Hamiltonian_Monte_Carlo
>
> Cheers,
> --
> Dr. Daniel Carrera
> Postdoctoral Research Associate
> Iowa State University
>
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