Introduction: In finely-pixelated positron emission tomography (PET) detectors, Compton scatter of the incident annihilation photons gives rise to a spatial blur referred to as inter-crystal scatter ...
Abstract: Generalized sliced-Wasserstein distance is a variant of slicedWasserstein distance that exploits the power of non-linear projection through a given defining function to better capture the ...
The task of causal discovery from observational data (X,Y) is defined as the task of deciding whether X causes Y , or Y causes X or if there is no causal relationship between X and Y . Causal ...
Abstract: The Gromov-Wasserstein (GW) distance quantifies dissimilarity between metric measure (mm) spaces and provides a natural correspondence between them. As such, it serves as a figure of merit ...
As anyone who’s ever been in one can attest, making a long-distance relationship work is challenging—yes, even if you’re super into each other. But despite what a skeptical friend, family member, or ...
Abstract: Gromov–Wasserstein distances are generalization of Wasserstein distances, which are invariant under distance preserving transformations. Although a simplified version of optimal transport in ...
Introduction: Monolithic crystal PET detectors are studied as an alternative to pixelated crystal detectors and the coordinates of the gamma interaction positions can be estimated from the number of ...
The Data Science Lab Wasserstein Distance Using C# and Python Dr. James McCaffrey of Microsoft Research shows how to compute the Wasserstein distance and explains why it is often preferable to ...