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On model selection consistency of M-estimators with geometrically decomposable penalties
model selection consistency M-estimators geometrically decomposable penalties
2013/6/14
Penalized M-estimators are used in many areas of science and engineering to fit models with some low-dimensional structure in high-dimensional settings. In many problems arising in bioinformatics, sig...
Stable Estimation of a Covariance Matrix Guided by Nuclear Norm Penalties
Covariance estimation Regularization Condition number Canonical correlation analysis Discriminant analysis Clustering
2013/6/14
Estimation of covariance matrices or their inverses plays a central role in many statistical methods. For these methods to work reliably, estimated matrices must not only be invertible but also well-c...
Linear system identification using stable spline kernels and PLQ penalties
linear system identification bias-variance trade off kernel-based regularization robust statistics interior point methods piecewise linear quadratic densities
2013/4/27
The classical approach to linear system identification is given by parametric Prediction Error Methods (PEM). In this context, model complexity is often unknown so that a model order selection step is...
Relaxation Penalties and Priors for Plausible Modeling of Nonidentified Bias Sources
Bias biostatistics causality epidemiology measurement error misclassification observational studies odds ratio relative risk
2010/3/9
In designed experiments and surveys, known laws or de-
sign feat ures provide checks on the most relevant aspects of a model
and identify the target parameters. In contrast, in most observational
s...