Organodynamics

Grant Holland, Apr 25, 2014

Slide: Organodynamic Probability Distribution

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Organodynamic Probability Space

 

An organodynamic probability space (OPS) is a probability space whose sample space is the set of all possible organizations of an underlying set S.

 

 

 

Dynamic Constraints

 

The transformations, discussed in the slide 240, constrain which organizations OTRS in OS of S can be realized in the next time step of an organodynamic process.

 

These constraints are imposed via the assignment of small, or zero, probabilities to the affected organizations.

Assigning Probabilities

 

Theoretically, probability assignments to sample points could be done empirically. But attempting this is completely intractable due to sample space size.

 

Statistical mechanics had the same problem. How did they assign probabilities to their particle states (position, momentum)?

 

Answer:

1.    Initially, with theoretical assignment of the uniform distribution.

2.    Secondly, they refined these probabilities using Bayesian analysis [Jaynes 1957].

 

Organodynamic Probability Distribution

 

An organodynamic probability distribution (OPD) is a categorical distribution representing an OPS.

 

Notes: