4 papers
A probabilistic model of X-ray computed tomography
Tyler Gomez, Jason Swanson, Alexandru Tamasan
We consider a discrete stochastic process, indexed by lines through the unit disk in the plane, which models the observed photon counts in a medical X-ray tomography scan. We first…
Conditional distributions for the nested Dirichlet process via sequential imputation
Evan Donald, Jason Swanson
We consider an array of random variables, taking values in a complete and separable metric space, that exhibits a kind of symmetry which we call row exchangeability. Given such an…
An Aldous-Hoover type representation for row exchangeable arrays
Evan Donald, Jason Swanson
In an array of random variables, each row can be regarded as a single, sequence-valued random variable. In this way, the array is seen as a sequence of sequences. Such an array is…
The Principles of Probability: From Formal Logic to Measure Theory to the Principle of Indifference
Jason Swanson
In this work, we develop a formal system of inductive logic. It uses an infinitary language that allows for countable conjunctions and disjunctions. It is based on a set of nine sy…