Continuum Limit of Total Variation on Point Clouds
نویسندگان
چکیده
منابع مشابه
Continuum limit of total variation on point clouds
We consider point clouds obtained as random samples of a measure on a Euclidean domain. A graph representing the point cloud is obtained by assigning weights to edges based on the distance between the points they connect. Our goal is to develop mathematical tools needed to study the consistency, as the number of available data points increases, of graph-based machine learning algorithms for tas...
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The collapse of baryons into the center of a host dark matter halo is accompanied by radiation that may be detectable as compact ( < ∼ 10 kpc) UV-continuum and Lyα emission with Lyα luminosities as high as ∼ 1042 −1043 erg s−1 in halos of mass M = 1011 − 10M⊙. We show that the observed equivalent width (EW) of the Lyα line emitted by these cooling clouds is EW < ∼ 400 Å (restframe). These lumin...
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ژورنال
عنوان ژورنال: Archive for Rational Mechanics and Analysis
سال: 2015
ISSN: 0003-9527,1432-0673
DOI: 10.1007/s00205-015-0929-z