mlsanityData to 7 Oct 2026

Selective Inference for Group-Sparse Linear Models

arXiv 1607.08211 ↗First posted 27 Jul 2016stat.MEcited by 21

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Abstract (arXiv)

We develop tools for selective inference in the setting of group sparsity, including the construction of confidence intervals and p-values for testing selected groups of variables. Our main technical result gives the precise distribution of the magnitude of the projection of the data onto a given subspace, and enables us to develop inference procedures for a broad class of group-sparse selection methods, including the group lasso, iterative hard thresholding, and forward stepwise regression. We give numerical results to illustrate these tools on simulated data and on health record data.

Key facts. Cited by 21 papers in the map (data through 7 Oct 2026). First posted on arXiv 27 Jul 2016.

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Citing papers per year: 2021: 4; 2022: 4; 2023: 3; 2024: 5; 2025: 4; 2026: 1.

21 papers.

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  1. 2021More Powerful Conditional Selective Inference for Generalized Lasso by Parametric Programmingcited by 24
  2. 2022Selective inference for k-means clusteringcited by 21
  3. 2023Valid P-Value for Deep Learning-Driven Salient Regioncited by 17
  4. 2021Conditional Selective Inference for Robust Regression and Outlier Detection using Piecewise-Linear Homotopy Continuationcited by 16
  5. 2021Fast and More Powerful Selective Inference for Sparse High-order Interaction Modelcited by 15
  6. 2023CAD-DA: Controllable Anomaly Detection after Domain Adaptation by Statistical Inferencecited by 10
  7. 2021Exact Statistical Inference for the Wasserstein Distance by Selective Inferencecited by 7
  8. 2022Exact Selective Inference with Randomizationcited by 6
  9. 2024Statistical Test for Feature Selection Pipelines by Selective Inferencecited by 3
  10. 2024Statistical Test for Auto Feature Engineering by Selective Inferencecited by 3
  11. 2025Quantifying Statistical Significance of Deep Nearest Neighbor Anomaly Detection via Selective Inferencecited by 3
  12. 2024Statistical Inference for Feature Selection after Optimal Transport-based Domain Adaptationcited by 2
9 more
  1. 2024Controllable RANSAC-based Anomaly Detection via Hypothesis Testingcited by 2
  2. 2025Statistical Inference for Autoencoder-based Anomaly Detection after Representation Learning-based Domain Adaptationcited by 2
  3. 2023Bounded P-values in Parametric Programming-based Selective Inferencecited by 1
  4. 2024Statistical Test for Diffusion-Based Anomaly Localization via Selective Inferencecited by 1
  5. 2022Statistical Inference for the Dynamic Time Warping Distance, with Application to Abnormal Time-Series Detectioncited by 0
  6. 2022Inferring independent sets of Gaussian variables after thresholding correlationscited by 0
  7. 2025Post-Transfer Learning Statistical Inference in High-Dimensional Regressioncited by 0
  8. 2025φ-Table: A Statistical Explanation for Global SHAPcited by 0
  9. 2026Post-Anomaly Detection Inference for Deep SVDDcited by 0