A Geometric Perspective on Regularized Optimal Transport
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-018-9684-9
Abstract: We present new geometric intuition on dynamical versions of regularized optimal transport. We introduce two families of variational problems on Riemannian manifolds which contain analogues of the Schrödinger bridge problem and the Yasue problem. We… read more here.
Keywords: perspective regularized; regularized optimal; geometric perspective; optimal transport ... See more keywords
An Information Geometric Perspective on the Complexity of Macroscopic Predictions Arising from Incomplete Information
Sign Up to like & getrecommendations! Published in 2018 at "Advances in Mathematical Physics"
DOI: 10.1155/2018/2048521
Abstract: Motivated by the presence of deep connections among dynamical equations, experimental data, physical systems, and statistical modeling, we report on a series of findings uncovered by the authors and collaborators during the last decade within… read more here.
Keywords: information; complexity; information geometric; macroscopic predictions ... See more keywords