Riemannian Gaussian distributions, random matrix ensembles and diffusion kernels
Sign Up to like & getrecommendations! Published in 2021 at "Nuclear Physics B"
DOI: 10.1016/j.nuclphysb.2021.115582
Abstract: We show that the Riemannian Gaussian distributions on symmetric spaces, introduced in recent years, are of standard random matrix type. We exploit this to compute analytically marginals of the probability density functions. This can be… read more here.
Keywords: riemannian gaussian; diffusion; random matrix; case ... See more keywords
Near-Gaussian distributions for modelling discrete stellar velocity data with heteroskedastic uncertainties
Sign Up to like & getrecommendations! Published in 2020 at "Monthly Notices of the Royal Astronomical Society"
DOI: 10.1093/mnras/staa2860
Abstract: The velocity distributions of stellar tracers in general exhibit weak non-Gaussianity encoding information on the orbital composition of a galaxy and the underlying potential. The standard solution for measuring non-Gaussianity involves constructing a series expansion… read more here.
Keywords: heteroskedastic uncertainties; modelling discrete; near gaussian; velocity ... See more keywords
Detecting Rotated Objects as Gaussian Distributions and its 3-D Generalization
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Pattern Analysis and Machine Intelligence"
DOI: 10.1109/tpami.2022.3197152
Abstract: Existing detection methods commonly use a parameterized bounding box (BBox) to model and detect (horizontal) objects and an additional rotation angle parameter is used for rotated objects. We argue that such a mechanism has fundamental… read more here.
Keywords: objects gaussian; rotated objects; distributions generalization; detection ... See more keywords
Transversality Conditions for Geodesics on the Statistical Manifold of Multivariate Gaussian Distributions
Sign Up to like & getrecommendations! Published in 2022 at "Entropy"
DOI: 10.3390/e24111698
Abstract: We consider the problem of finding the closest multivariate Gaussian distribution on a constraint surface of all Gaussian distributions to a given distribution. Previous research regarding geodesics on the multivariate Gaussian manifold has focused on… read more here.
Keywords: transversality conditions; gaussian distributions; geodesics statistical; conditions geodesics ... See more keywords