4 papers
Estimation of Stationary Optimal Transport Plans
Kevin O'Connor, Kevin McGoff, Andrew B Nobel
We study optimal transport for stationary stochastic processes taking values in finite spaces. In order to reflect the stationarity of the underlying processes, we restrict attenti…
Alignment and Comparison of Directed Networks via Transition Couplings of Random Walks
Bongsoo Yi, Kevin O'Connor, Kevin McGoff +1
We describe and study a transport based procedure called NetOTC (network optimal transition coupling) for the comparison and alignment of two networks. The networks of interest may…
Optimal Transport for Stationary Markov Chains via Policy Iteration
Kevin O'Connor, Kevin McGoff, Andrew B. Nobel
We study the optimal transport problem for pairs of stationary finite-state Markov chains, with an emphasis on the computation of optimal transition couplings. Transition couplings…
Exchangeable Generative Models with Flow Scans
Christopher Bender, Kevin O'Connor, Yang Li +3
In this work, we develop a new approach to generative density estimation for exchangeable, non-i.i.d. data. The proposed framework, FlowScan, combines invertible flow transformatio…