Journal ArticleDOI
An iterative technique for the rectification of observed distributions
TLDR
In this article, the authors consider the problem of determining the distribution of proper motions in a line-of-sight line of sight (LoSOS) image from a given number count.Abstract:
J q,•.=I:Pi,Vt;, i-I f \"'(~)d~=1 and \"'W~O of the variation of star density along a line-of-sight from the distribution of proper motions in that direction; (2) the determination of the space distribution of radio sources from number counts; (3) the determination of the radial variation of star density in a globular cluster from star counts; (4) the correction of radioastronomical and spectrographic observations for the effect of the instrumental profile; and (5) the determination of the temperature stratification in the solar atmosphere from limb-darkening data. These examples suffice to show that the problem under consideration arises in many branches of astronomy and that its solution is vital to the process of extracting useful information from observations.read more
Citations
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Journal ArticleDOI
Learning the parts of objects by non-negative matrix factorization
TL;DR: An algorithm for non-negative matrix factorization is demonstrated that is able to learn parts of faces and semantic features of text and is in contrast to other methods that learn holistic, not parts-based, representations.
Learning parts of objects by non-negative matrix factorization
TL;DR: In this article, non-negative matrix factorization is used to learn parts of faces and semantic features of text, which is in contrast to principal components analysis and vector quantization that learn holistic, not parts-based, representations.
Proceedings Article
Algorithms for Non-negative Matrix Factorization
Daniel D. Lee,H. Sebastian Seung +1 more
TL;DR: Two different multiplicative algorithms for non-negative matrix factorization are analyzed and one algorithm can be shown to minimize the conventional least squares error while the other minimizes the generalized Kullback-Leibler divergence.
Journal ArticleDOI
Removing camera shake from a single photograph
TL;DR: This work introduces a method to remove the effects of camera shake from seriously blurred images, which assumes a uniform camera blur over the image and negligible in-plane camera rotation.
Journal ArticleDOI
Large scale structure of the universe and cosmological perturbation theory
Francis Bernardeau,Stephane Colombi,Enrique Gaztanaga,Enrique Gaztanaga,Roman Scoccimarro,Roman Scoccimarro +5 more
TL;DR: In this article, the authors review the formalism and applications of non-linear perturbation theory (PT) to understand the large-scale structure of the universe, from the linear to the nonlinear regime.