Generalized Beta Mixtures of Gaussians

التفاصيل البيبلوغرافية
العنوان: Generalized Beta Mixtures of Gaussians
المؤلفون: Armagan, Artin, Dunson, David B., Clyde, Merlise
سنة النشر: 2011
المجموعة: Statistics
مصطلحات موضوعية: Statistics - Methodology, Statistics - Machine Learning
الوصف: In recent years, a rich variety of shrinkage priors have been proposed that have great promise in addressing massive regression problems. In general, these new priors can be expressed as scale mixtures of normals, but have more complex forms and better properties than traditional Cauchy and double exponential priors. We first propose a new class of normal scale mixtures through a novel generalized beta distribution that encompasses many interesting priors as special cases. This encompassing framework should prove useful in comparing competing priors, considering properties and revealing close connections. We then develop a class of variational Bayes approximations through the new hierarchy presented that will scale more efficiently to the types of truly massive data sets that are now encountered routinely.
Comment: Advances in Neural Information Processing Systems 24 edited by J. Shawe-Taylor and R.S. Zemel and P. Bartlett and F. Pereira and K.Q. Weinberger (2011)
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1107.4976
رقم الأكسشن: edsarx.1107.4976
قاعدة البيانات: arXiv