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Non-Gaussian distributions

Applied Mathematics and Computation, 1999
The paper studies (non-Gaussian) diffusions classified as either ``hypo-diffusion'' or ``hyper-diffusion'', where the \(\beta\) order moments are of the type \(t^{\beta/\alpha}\), with \(\beta\) and \(\alpha\) belonging to \(\mathbb{R}^*_+\). The authors introduce signed measures corresponding to non-Gaussian diffusions on \(\mathbb{R}\), inspired by ...
Mastrangelo, Michèle   +2 more
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Laguerre-Gaussian supercontinuum

SPIE Proceedings, 2006
We show what is believed to be the first coherent white-light optical vortices generated from supercontinuum that have the azimuthally varying phase structure consistent with a monochromatic Laguerre-Gaussian beam. Two methods of Laguerre-Gaussian supercontinuum generation are discussed and contrasted.
H I, Sztul, V, Kartazayev, R R, Alfano
openaire   +2 more sources

Gaussian Optics and Gaussian Brackets*†

Journal of the Optical Society of America, 1943
Not ...
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MVSplat: Efficient 3D Gaussian Splatting from Sparse Multi-View Images

European Conference on Computer Vision
We introduce MVSplat, an efficient model that, given sparse multi-view images as input, predicts clean feed-forward 3D Gaussians. To accurately localize the Gaussian centers, we build a cost volume representation via plane sweeping, where the cross-view ...
Donny Y. Chen   +7 more
semanticscholar   +1 more source

From almost Gaussian to Gaussian

AIP Conference Proceedings, 2015
We consider lower and upper bounds on the difference of differential entropies of a Gaussian random vector and an approximately Gaussian random vector after they are “smoothed” by an arbitrarily distributed random vector of finite power. These bounds are important to establish the optimality of the corner points in the capacity region of Gaussian ...
Max H. M. Costa, Olivier Rioul
openaire   +1 more source

Model-Based Gaussian and Non-Gaussian Clustering

Biometrics, 1993
Summary: The classification maximum likelihood approach is sufficiently general to encompass many current clustering algorithms, including those based on the sum of squares criterion and on the criterion of \textit{H. P. Friedman} and \textit{J. Rubin} [J. Am. Stat. Assoc. 62, 1159-1178 (1967)].
Banfield, Jeffrey D., Raftery, Adrian E.
openaire   +1 more source

A Survey on 3D Gaussian Splatting

arXiv.org
3D Gaussian splatting (GS) has emerged as a transformative technique in radiance fields. Unlike mainstream implicit neural models, 3D GS uses millions of learnable 3D Gaussians for an explicit scene representation.
Guikun Chen, Wenguan Wang
semanticscholar   +1 more source

Street Gaussians: Modeling Dynamic Urban Scenes with Gaussian Splatting

European Conference on Computer Vision
This paper aims to tackle the problem of modeling dynamic urban streets for autonomous driving scenes. Recent methods extend NeRF by incorporating tracked vehicle poses to animate vehicles, enabling photo-realistic view synthesis of dynamic urban street ...
Yunzhi Yan   +8 more
semanticscholar   +1 more source

Gaussian and non-Gaussian statistics

Proceedings of International Symposium on Electromagnetic Compatibility ELMAGC-97, 1997
The article presents a description of Gaussian statistical theory in relation to signal analysis. Special attention is placed on the correlation phenomena and the spectra. The main part of the paper deals with the higher-order statistics. The notions of the 3rd-moment and the cumulant function are introduced and their relation to the spectra and the ...
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On the Gaussian sum of Gaussian variates, the non-Gaussian sum of Gaussian variates, and the Gaussian sum of non-Gaussian variates

Proceedings of the IEEE, 1967
The random variable generated by adding two Gaussian variables may or may not have a Gaussian distribution. Also, the random variable generated by adding two non-Gaussian variables may or may not have a non-Gaussian distribution. Of several examples given, one illustrates how the sum may be Gaussian while the individual variables are not.
openaire   +1 more source

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