290 citations · 934 across the 51 of their papers we have counts for
5 papers · 1 filter
Parseval's Identity and Optimal Transport Maps
Novin Ghaffari, Stephen Walker
Recent findings for optimal transport maps between distribution functions sharing the same copula show that componentwise the solution is the optimal map between marginal distribut…
Birth-and-death Polya urns and stationary random partitions
Pierpaolo De Blasi, Matteo Ruggiero, Stephen G. Walker
We introduce a class of birth-and-death Polya urns, which allow for both sampling and removal of observations governed by an auxiliary inhomogeneous Bernoulli process, and investig…
Alpha-diversity processes and normalized inverse-Gaussian diffusions
Matteo Ruggiero, Stephen G. Walker, Stefano Favaro
The infinitely-many-neutral-alleles model has recently been extended to a class of diffusion processes associated with Gibbs partitions of two-parameter Poisson-Dirichlet type. Thi…
A definition of conditional probability distribution with non-stochastic information
Pier Giovanni Bissiri, Stephen G. Walker
The current definition of a conditional probability distribution enables one to update probabilities only on the basis of stochastic information. This paper provides a definition f…
Bayesian nonparametric estimators derived from conditional Gibbs structures
Antonio Lijoi, Igor Prünster, Stephen G. Walker
We consider discrete nonparametric priors which induce Gibbs-type exchangeable random partitions and investigate their posterior behavior in detail. In particular, we deduce condit…