9 citations · 25 across the 8 of their papers we have counts for
8 papers
Distributed Nonlinear Filtering using Triangular Transport Maps
Daniel Grange, Ricardo Baptista, Amirhossein Taghvaei +2
The distributed filtering problem sequentially estimates a global state variable using observations from a network of local sensors with different measurement models. In this work,…
Optimal Transport for Kernel Gaussian Mixture Models
Jung Hun Oh, Rena Elkin, Anish Kumar Simhal +3
The Wasserstein distance from optimal mass transport (OMT) is a powerful mathematical tool with numerous applications that provides a natural measure of the distance between two pr…
Data Assimilation for Sign-indefinite Priors: A generalization of Sinkhorn's algorithm
Anqi Dong, Tryphon T. Georgiou, Allen Tannenbaum
The purpose of this work is to develop a framework to calibrate signed datasets so as to be consistent with specified marginals by suitably extending the Schrödinger-Fortet-Sinkhor…
Promotion/Inhibition Effects in Networks: A Model with Negative Probabilities
Anqi Dong, Tryphon T. Georgiou, Allen Tannenbaum
Biological networks often encapsulate promotion/inhibition as signed edge-weights of a graph. Nodes may correspond to genes assigned expression levels (mass) of respective proteins…
Interpolation of Density Matrices and Matrix-Valued Measures: The Unbalanced Case
Yongxin Chen, Tryphon T. Georgiou, Allen Tannenbaum
In this note, we propose an unbalanced version of the quantum mechanical version of optimal mass transport that was based on the Lindblad equation. We formulate a natural interpola…
Regularization and Interpolation of Positive Matrices
Kaoru Yamamoto, Yongxin Chen, Lipeng Ning +2
We consider certain matricial analogues of optimal mass transport of positive definite matrices of equal trace. The framework is motivated by the need to devise a suitable geometry…