Optimal Multivariate Gaussian Fitting with Applications to PSF Modeling in Two-Photon Microscopy Imaging
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Imaging and Vision"
DOI: 10.1007/s10851-019-00884-1
Abstract: Fitting Gaussian functions to empirical data is a crucial task in a variety of scientific applications, especially in image processing. However, most of the existing approaches for performing such fitting are restricted to two dimensions… read more here.
Keywords: multivariate gaussian; gaussian fitting; microscopy; two photon ... See more keywords
Multi-model multivariate Gaussian process modelling with correlated noises
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Process Control"
DOI: 10.1016/j.jprocont.2017.08.004
Abstract: Abstract A composite multiple-model approach based on multivariate Gaussian process regression (MGPR) with correlated noises is proposed in this paper. In complex industrial processes, observation noises of multiple response variables can be correlated with each… read more here.
Keywords: multivariate gaussian; process; model; gaussian process ... See more keywords
Video anomaly detection and localization via multivariate gaussian fully convolution adversarial autoencoder
Sign Up to like & getrecommendations! Published in 2019 at "Neurocomputing"
DOI: 10.1016/j.neucom.2019.08.044
Abstract: Abstract In this paper, we present a novel deep learning based method for video anomaly detection and localization. The key idea of our approach is that the latent space representations of normal samples are trained… read more here.
Keywords: multivariate gaussian; video; detection; video anomaly ... See more keywords
An overview of heavy-tail extensions of multivariate Gaussian distribution and their relations
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Applied Statistics"
DOI: 10.1080/02664763.2022.2044018
Abstract: Many extensions of the multivariate normal distribution to heavy-tailed distributions are proposed in the literature, which includes scale Gaussian mixture distribution, elliptical distribution, generalized elliptical distribution and transelliptical distribution. The inferences for each family of… read more here.
Keywords: tail extensions; heavy tail; overview heavy; distribution ... See more keywords
Exploiting Channel Correlations for NLOS ToA Localization With Multivariate Gaussian Mixture Models
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Wireless Communications Letters"
DOI: 10.1109/lwc.2019.2941878
Abstract: In this letter, we develop a Bayesian probabilistic approach for time-of-arrival (ToA) localization in non-line-of-sight (NLOS) channels, where multivariate Gaussian mixture models (GMM) are used to approximate the joint distribution of channel bias values and… read more here.
Keywords: multivariate gaussian; channel; channel correlations; gaussian mixture ... See more keywords
Transversality Conditions for Geodesics on the Statistical Manifold of Multivariate Gaussian Distributions
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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