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Related papers: Discussion: One-step sparse estimates in nonconcav…

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Discussion of ``One-step sparse estimates in nonconcave penalized likelihood models'' [arXiv:0808.1012]

Statistics Theory · Mathematics 2008-08-08 Cun-Hui Zhang

Discussion of ``One-step sparse estimates in nonconcave penalized likelihood models'' [arXiv:0808.1012]

Statistics Theory · Mathematics 2008-08-08 Xiao-Li Meng

We would like to take this opportunity to thank the discussants for their thoughtful comments and encouragements on our work [arXiv:0808.1012]. The discussants raised a number of issues from theoretical as well as computational…

Statistics Theory · Mathematics 2008-08-08 Hui Zou , Runze Li

Fan and Li propose a family of variable selection methods via penalized likelihood using concave penalty functions. The nonconcave penalized likelihood estimators enjoy the oracle properties, but maximizing the penalized likelihood function…

Statistics Theory · Mathematics 2008-08-08 Hui Zou , Runze Li

We consider the problem of sparse estimation in a factor analysis model. A traditional estimation procedure in use is the following two-step approach: the model is estimated by maximum likelihood method and then a rotation technique is…

Methodology · Statistics 2013-03-18 Kei Hirose , Michio Yamamoto

The Ising model is a useful tool for studying complex interactions within a system. The estimation of such a model, however, is rather challenging, especially in the presence of high-dimensional parameters. In this work, we propose…

Statistics Theory · Mathematics 2012-08-20 Lingzhou Xue , Hui Zou , Tianxi Cai

We propose a new class of nonconvex penalty functions, based on data depth functions, for multitask sparse penalized regression. These penalties quantify the relative position of rows of the coefficient matrix from a fixed distribution…

Methodology · Statistics 2018-05-08 Subhabrata Majumdar , Snigdhansu Chatterjee

Sparse estimation methods are aimed at using or obtaining parsimonious representations of data or models. They were first dedicated to linear variable selection but numerous extensions have now emerged such as structured sparsity or kernel…

Machine Learning · Computer Science 2011-11-24 Francis Bach , Rodolphe Jenatton , Julien Mairal , Guillaume Obozinski

The popular Lasso approach for sparse estimation can be derived via marginalization of a joint density associated with a particular stochastic model. A different marginalization of the same probabilistic model leads to a different…

Machine Learning · Statistics 2013-02-28 Aleksandr Y. Aravkin , James V. Burke , Alessandro Chiuso , Gianluigi Pillonetto

A new approach for optimal estimation of Markov chains with sparse transition matrices is presented.

Computation · Statistics 2009-05-27 Iuliana Teodorescu

Discussion of "Treelets--An adaptive multi-scale basis for sparse unordered data" [arXiv:0707.0481]

Applications · Statistics 2008-07-28 Robert Tibshirani

Discussion of "Treelets--An adaptive multi-scale basis for sparse unordered data" [arXiv:0707.0481]

Applications · Statistics 2008-07-28 Peter J. Bickel , Ya'acov Ritov

Discussion of "Treelets--An adaptive multi-Scale basis for sparse unordered data" [arXiv:0707.0481]

Applications · Statistics 2008-07-28 Fionn Murtagh

Sparse linear discriminant analysis via penalized optimal scoring is a successful tool for classification in high-dimensional settings. While the variable selection consistency of sparse optimal scoring has been established, the…

Statistics Theory · Mathematics 2021-04-01 Irina Gaynanova

Statistical estimation and inference for marginal hazard models with varying coefficients for multivariate failure time data are important subjects in survival analysis. A local pseudo-partial likelihood procedure is proposed for estimating…

Statistics Theory · Mathematics 2009-09-29 Jianwen Cai , Jianqing Fan , Haibo Zhou , Yong Zhou

The article considers parameter estimation constructing such as quasi-maximum likelyhood estimation and one step estimation in statistical models generated by solution of stochastic differential equation. It has been developed a software…

Statistics Theory · Mathematics 2021-03-12 Dmytro Ivanenko , Rostyslav Pogorielov

Discussion of "Likelihood Inference for Models with Unobservables: Another View" by Youngjo Lee and John A. Nelder [arXiv:1010.0303]

Methodology · Statistics 2010-10-06 Geert Molenberghs , Michael G. Kenward , Geert Verbeke

Discussion of "Likelihood Inference for Models with Unobservables: Another View" by Youngjo Lee and John A. Nelder [arXiv:1010.0303]

Methodology · Statistics 2010-10-06 Thomas A. Louis

Discussion of "Latent variable graphical model selection via convex optimization" by Venkat Chandrasekaran, Pablo A. Parrilo and Alan S. Willsky [arXiv:1008.1290].

Statistics Theory · Mathematics 2012-11-06 Emmanuel J. Candés , Mahdi Soltanolkotabi

Discussion of "Latent variable graphical model selection via convex optimization" by Venkat Chandrasekaran, Pablo A. Parrilo and Alan S. Willsky [arXiv:1008.1290].

Statistics Theory · Mathematics 2012-11-06 Zhao Ren , Harrison H. Zhou
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