The Stirling/South Carolina Research Edition of the Collected Works of James Hogg: The Collected Letters of James Hogg, Vol. 1: 2004
DOI: 10.1093/oseo/instance.00174096
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To W. E. Heather 1 April 1818

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Cited by 5 publications
(6 citation statements)
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“…Mitschang et al (2013) combine weighted absolute distances in a large number of chemical elements between two stars into a single metric and use this as the basis for deriving a function that describes the probability that two stars of common evolutionary origin. Hogg et al (2016) identify overdensities in a 15-dimensional chemical-abundance space provided by APOGEE data using the k-means algorithm, which is a method for clustering points in a high-dimensional space. This algorithm has also been applied as a basis in the chemical tagging work of (Bland-Hawthorn, Krumholz & Freeman 2010) but with less chemical elements and later on confirmed with simulations in Feng & Krumholz (2014).…”
Section: How Does a Phylogenetic Approach Compare To Other Methods?mentioning
confidence: 99%
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“…Mitschang et al (2013) combine weighted absolute distances in a large number of chemical elements between two stars into a single metric and use this as the basis for deriving a function that describes the probability that two stars of common evolutionary origin. Hogg et al (2016) identify overdensities in a 15-dimensional chemical-abundance space provided by APOGEE data using the k-means algorithm, which is a method for clustering points in a high-dimensional space. This algorithm has also been applied as a basis in the chemical tagging work of (Bland-Hawthorn, Krumholz & Freeman 2010) but with less chemical elements and later on confirmed with simulations in Feng & Krumholz (2014).…”
Section: How Does a Phylogenetic Approach Compare To Other Methods?mentioning
confidence: 99%
“…As with chemical tagging studies, the method presented here relies on the uniqueness of stellar DNA. We ascertain that as long as enough elements are used in the analysis, this should be the case (Hogg et al 2016). We need to be aware however that our sample needs to be chosen such that the chemical distances are reflecting differences in chemical evolution and not systematic differences due to internal processes happening in stars, such as atomic diffusion (e.g.…”
Section: Uncertainties In the Analysismentioning
confidence: 99%
“…As a shorthand, we denote this 6D phase space X, and data points in it X n . Within the framework developed by Hogg et al (2010) and Hogg (2012), the probability of a model point x k generating a data point X n is then:…”
Section: The Fast-forward Methodsmentioning
confidence: 99%
“…Our comparison of the models to the observed overdensities is based on the framework developed in Hogg et al (2010) and Hogg (2012), and applied to Pal 5 in Küpper et al (2015). We use a likelihood of the form:…”
Section: Comparison To Observational Datamentioning
confidence: 99%