Corpus ID: 17305628

Probability Density Functions from the Fisher Information Metric

@article{Clingman2015ProbabilityDF,
  title={Probability Density Functions from the Fisher Information Metric},
  author={T. Clingman and Jeff Murugan and Jonathan P. Shock},
  journal={ArXiv},
  year={2015},
  volume={abs/1504.03184}
}
We show a general relation between the spatially disjoint product of probability density functions and the sum of their Fisher information metric tensors. We then utilise this result to give a method for constructing the probability density functions for an arbitrary Riemannian Fisher information metric tensor. We note further that this construction is extremely unconstrained, depending only on certain continuity properties of the probability density functions and a select symmetry of their… Expand
Information geometry in quantum field theory: lessons from simple examples
Motivated by the increasing connections between information theory and high-energy physics, particularly in the context of the AdS/CFT correspondence, we explore the information geometry associatedExpand

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