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Over the last half-century quantitative stellar spectroscopy has made great progress. However, most stellar abundance analyses today still employ rather simplified models, which can introduce severe systematic errors swamping the…

Astrophysics · Physics 2007-05-23 Martin Asplund

Imbalanced data, where the positive samples represent only a small proportion compared to the negative samples, makes it challenging for classification problems to balance the false positive and false negative rates. A common approach to…

Machine Learning · Statistics 2026-02-17 Pengfei Lyu , Zhengchi Ma , Linjun Zhang , Anru R. Zhang

Our understanding of physical systems generally depends on our ability to match complex computational modelling with measured experimental outcomes. However, simulations with large parameter spaces suffer from inverse problem instabilities,…

Plasma Physics · Physics 2020-01-22 M. F. Kasim , T. P. Galligan , J. Topp-Mugglestone , G. Gregori , S. M. Vinko

The main features of the statistical approach to inverse problems are described on the example of a linear model with additive noise. The approach does not use any Bayesian hypothesis regarding an unknown object; instead, the standard…

Methodology · Statistics 2017-05-05 V. Yu. Terebizh

Stellar populations contain the most important information about star clus- ter formation and evolution. Until several decades ago, star clusters were believed to be ideal laboratories for studies of simple stellar populations (SSPs).…

Solar and Stellar Astrophysics · Physics 2016-12-14 Chengyuan Li , Richard de Grijs , Licai Deng

The increasing interest in subpopulation analysis has led to the development of various new trial designs and analysis methods in the fields of personalized medicine and targeted therapies. In this paper, subpopulations are defined in terms…

Methodology · Statistics 2020-12-01 Roland Gerard Gera , Tim Friede

Program synthesis is the task of automatically generating a program consistent with a given specification. A natural way to specify programs is to provide examples of desired input-output behavior, and many current program synthesis…

Machine Learning · Computer Science 2020-07-28 Alexander Suh , Yuval Timen

A new method for solving the relativistic inverse stellar structure problem is presented. This method determines a spectral representation of the unknown high density portion of the stellar equation of state from a knowledge of the total…

High Energy Astrophysical Phenomena · Physics 2015-06-05 Lee Lindblom , Nathaniel M. Indik

In this paper, I review to what extent we can understand the photometric properties of star clusters, and of low-mass, unresolved galaxies, in terms of population synthesis models designed to describe `simple stellar populations' (SSPs),…

Astrophysics of Galaxies · Physics 2009-11-05 A. Gustavo Bruzual

We present a Bayesian hierarchical framework to analyze photometric galaxy survey data with stellar population synthesis (SPS) models. Our method couples robust modeling of spectral energy distributions with a population model and a noise…

Instrumentation and Methods for Astrophysics · Physics 2023-01-18 Boris Leistedt , Justin Alsing , Hiranya Peiris , Daniel Mortlock , Joel Leja

The observable macroscopic properties of relativistic stars (whose equations of state are known) can be predicted by solving the stellar structure equations that follow from Einstein's equation. For neutron stars, however, our knowledge of…

High Energy Astrophysical Phenomena · Physics 2015-06-18 Lee Lindblom

Populations of massive stars are directly reflective of the physics of stellar evolution. Counting subtypes of massive stars and ratios of massive stars in different evolutionary states have been used ubiquitously as diagnostics of age and…

Solar and Stellar Astrophysics · Physics 2018-11-14 Trevor Z. Dorn-Wallenstein , Emily M. Levesque

Inverse problems, where in broad sense the task is to learn from the noisy response about some unknown function, usually represented as the argument of some known functional form, has received wide attention in the general scientific…

Methodology · Statistics 2017-07-24 Debashis Chatterjee , Sourabh Bhattacharya

Optimised population synthesis provides an empirical method to extract the relative mix of stellar evolutionary stages and the distribution of atmospheric parameters within unresolved stellar systems, yet a robust validation of this method…

Astrophysics of Galaxies · Physics 2015-06-19 Christopher Barber , Stephane Courteau , Joel Roediger , Ricardo Schiavon

In this paper, a first sample-based formulation of the recently considered population observers, or ensemble observers, which estimate the state distribution of dynamic populations from measurements of the output distribution is…

Optimization and Control · Mathematics 2017-12-01 Shen Zeng

In this paper, we study the classical problem of estimating the proportion of a finite population. First, we consider a fixed sample size method and derive an explicit sample size formula which ensures a mixed criterion of absolute and…

Statistics Theory · Mathematics 2009-02-03 Xinjia Chen

A review of the basic principles of the population synthesis for binary stars is presented. We discuss the break-up of low and intermediate mass close binaries over different evolutionary scenarios and, as an example, briefly consider…

Astrophysics · Physics 2009-11-10 L. R. Yungelson

This work is focussed on the inversion task of inferring the distribution over parameters of interest leading to multiple sets of observations. The potential to solve such distributional inversion problems is driven by increasing…

Machine Learning · Statistics 2026-05-06 Arnaud Vadeboncoeur , Mark Girolami , Andrew M. Stuart

We present a new set of stellar interior and synthesis models for predicting the integrated emission from stellar populations in star clusters and galaxies of arbitrary age and metallicity. This work differs from existing spectral synthesis…

Astrophysics · Physics 2009-11-10 Raul Jimenez , James MacDonald , James Dunlop , Paolo Padoan , John Peacock

Binary population synthesis calculations and associated predictions, especially event rates, are known to depend on a significant number of input model parameters with different degrees of sensitivity. At the same time, for systems with…

Astrophysics · Physics 2008-11-26 R. O'Shaughnessy , V. Kalogera , K. Belczynski
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