Exact post-selection inference, with application to the lasso

We develop a general approach to valid inference after model selection. At the core of our framework is a result that characterizes the distribution of a post-selection estimator conditioned on the selection event. We specialize the approach to model selection by the lasso to form valid confidence intervals for the selected coefficients and test whether all relevant variables have been included in the model.

A note on data-splittingfor the evaluation of…A note on data-splitting for the evaluation of significance levelsEffects of ModelSelection on InferenceEffects of Model Selection on InferenceRegression Shrinkage andSelection Via the LassoRegression Shrinkage and Selection Via the LassoLeast angle regressionLeast angle regressionMODEL SELECTION ANDINFERENCE: FACTS AND…MODEL SELECTION AND INFERENCE: FACTS AND FICTIONRegularization andVariable Selection Via…Regularization and Variable Selection Via the Elastic NetFalse DiscoveryRate–Adjusted Multiple…False Discovery Rate–Adjusted Multiple Confidence Intervals for Selected ParametersValid post-selectioninferenceValid post-selection inferenceThe lasso problem anduniquenessThe lasso problem and uniquenessConfidence Intervals forLow Dimensional…Confidence Intervals for Low Dimensional Parameters in High Dimensional Linear ModelsA significance test forthe lassoA significance test for the lassoConfidence Intervals andHypothesis Testing for…Confidence Intervals and Hypothesis Testing for High-Dimensional RegressionExact Post-SelectionInference for Sequentia…Exact Post-Selection Inference for Sequential Regression ProceduresHow Much Does Your DataExploration Overfit?…How Much Does Your Data Exploration Overfit? Controlling Bias via Information UsageAsymptoticpost-selection inferenc…Asymptotic post-selection inference for the Akaike information criterionBootstrapping and samplesplitting for…Bootstrapping and sample splitting for high-dimensional, assumption-lean inferencePostselection Inferencein Structural Equation…Postselection Inference in Structural Equation ModelingPost-Selection InferencePost-Selection InferenceThe terminating-randomexperiments selector…The terminating-random experiments selector: Fast high-dimensional variable selection with false discovery rate controlMachine LearningAdvances for Time Serie…Machine Learning Advances for Time Series ForecastingTesting for a Change inMean after Changepoint…Testing for a Change in Mean after Changepoint DetectionApproximate SelectiveInference via Maximum…Approximate Selective Inference via Maximum LikelihoodSelective Inference forHierarchical ClusteringSelective Inference for Hierarchical ClusteringIs Seeing Believing? APractitioner's…Is Seeing Believing? A Practitioner's Perspective on High-Dimensional Statistical Inference in Cancer Genomics StudiesExact post-selectioninference, with…Exact post-selection inference, with application to the lasso過去の参考文献中心の論文この論文を引用する論文古い新しい

ノードをクリックするとフォーカスを固定、空白をクリックすると本論文に戻ります。ホバーで一時的にプレビューできます。各ノードのページはタイトルから開けます。