Evidence
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Card 1 · Doubly Robust Inference when Combining Probability and Non-Probability Samples with High Dimensional Data
Summary We consider integrating a non-probability sample with a probability sample which provides high dimensional representative covariate information of the target population. We propose a two-step approach for variable selection and finite population inference. In the first step, we use penalized…
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Summary We consider integrating a non-probability sample with a probability sample which provides high dimensional representative covariate information of the target population. We propose a two-step approach for variable selection and finite population inference. In the first step, we use penalized estimating equations with folded concave penalties to select important variables and show selection consistency for general samples. In the second step, we focus on a doubly robust estimator of the finite population mean and re-estimate the nuisance model parameters by minimizing the asymptotic squared bias of the doubly robust estimator. This estimating strategy mitigates the possible first-step selection error and renders the doubly robust estimator root n consistent if either the sampling probability or the outcome model is correctly specified.
Card 2 · Sampling techniques for big data analysis in finite population inference
In this paper, we discuss how some of the sampling techniques can be applied in harnessing big data for finite population inference. By treating the selection bias in the big data sample as a missing data problem, we propose two approach of handling big data in survey sampling. The first approach is…
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In this paper, we discuss how some of the sampling techniques can be applied in harnessing big data for finite population inference. By treating the selection bias in the big data sample as a missing data problem, we propose two approach of handling big data in survey sampling. The first approach is based on inverse sampling, which is a special case of two-phase sampling, and a novel inverse sampling method is proposed to obtain a representative sample from the big data. The second approach is based on the weighting method using the auxiliary information obtained from another independent probability sample. Combining information from two data sources, often called data integration, is also a hot area of research in survey sampling. In the proposed method, an independent probability sample is used to estimate the parameters of the propensity score model for the big data sample.
Card 3 · Variable selection for the multicategory SVM via adaptive sup-norm regularization
The Support Vector Machine (SVM) is a popular classification paradigm in machine learning and has achieved great success in real applications. However, the standard SVM can not select variables automatically and therefore its solution typically utilizes all the input variables without discrimination…
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The Support Vector Machine (SVM) is a popular classification paradigm in machine learning and has achieved great success in real applications. However, the standard SVM can not select variables automatically and therefore its solution typically utilizes all the input variables without discrimination. This makes it difficult to identify important predictor variables, which is often one of the primary goals in data analysis. In this paper, we propose two novel types of regularization in the context of the multicategory SVM (MSVM) for simultaneous classification and variable selection. The MSVM generally requires estimation of multiple discriminating functions and applies the argmax rule for prediction. For each individual variable, we propose to characterize its importance by the supnorm of its coefficient vector associated with different functions, and then minimize the MSVM hinge loss function subject to a penalty on the sum of supnorms. To further improve the supnorm penalty, we propo …
Card 4 · High-dimensional regression in practice: an empirical study of finite-sample prediction, variable selection and ranking
Penalized likelihood approaches are widely used for high-dimensional regression. Although many methods have been proposed and the associated theory is now well developed, the relative efficacy of different approaches in finite-sample settings, as encountered in practice, remains incompletely underst…
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Penalized likelihood approaches are widely used for high-dimensional regression. Although many methods have been proposed and the associated theory is now well developed, the relative efficacy of different approaches in finite-sample settings, as encountered in practice, remains incompletely understood. There is therefore a need for empirical investigations in this area that can offer practical insight and guidance to users. In this paper, we present a large-scale comparison of penalized regression methods. We distinguish between three related goals: prediction, variable selection and variable ranking. Our results span more than 2300 data-generating scenarios, including both synthetic and semisynthetic data (real covariates and simulated responses), allowing us to systematically consider the influence of various factors (sample size, dimensionality, sparsity, signal strength and multicollinearity). We consider several widely used approaches (Lasso, Adaptive Lasso, Elastic Net, Ridge Re …
Card 5 · Sampling techniques for big data analysis in finite population inference
In this paper, we discuss how some of the sampling techniques can be applied in harnessing big data for finite population inference. By treating the selection bias in the big data sample as a missing data problem, we propose two approach of handling big data in survey sampling. The first approach is…
Read full passage excerpt
In this paper, we discuss how some of the sampling techniques can be applied in harnessing big data for finite population inference. By treating the selection bias in the big data sample as a missing data problem, we propose two approach of handling big data in survey sampling. The first approach is based on inverse sampling, which is a special case of two-phase sampling, and a novel inverse sampling method is proposed to obtain a representative sample from the big data. The second approach is based on the weighting method using the auxiliary information obtained from another independent probability sample. Combining information from two data sources, often called data integration, is also a hot area of research in survey sampling. In the proposed method, an independent probability sample is used to estimate the parameters of the propensity score model for the big data sample.
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