On the folded normal distribution
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Abstract (arXiv)
The characteristic function of the folded normal distribution and its moment function are derived. The entropy of the folded normal distribution and the Kullback--Leibler from the normal and half normal distributions are approximated using Taylor series. The accuracy of the results are also assessed using different criteria. The maximum likelihood estimates and confidence intervals for the parameters are obtained using the asymptotic theory and bootstrap method. The coverage of the confidence intervals is also examined.
Key facts. Cited by 31 papers in the map (data through 7 Oct 2026). First posted on arXiv 14 Feb 2014.
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Citing papers per year: 2021: 6; 2022: 7; 2023: 6; 2024: 6; 2025: 2; 2026: 4.
31 papers.
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- 2022Better Uncertainty Calibration via Proper Scores for Classification and Beyondcited by 65
- 2021Learning elliptic partial differential equations with randomized linear algebracited by 29
- 2023Adaptive Message Passing: A General Framework to Mitigate Oversmoothing, Oversquashing, and Underreachingcited by 23
- 2021Learning Pessimism for Robust and Efficient Off-Policy Reinforcement Learningcited by 18
- 2022A Review on Viewpoints and Path-planning for UAV-based 3D Reconstructioncited by 14
- 2022Relational Reasoning via Set Transformers: Provable Efficiency and Applications to MARLcited by 12
- 2022Uncertainty Estimation for Computed Tomography with a Linearised Deep Image Priorcited by 10
- 2022A Regularized Conditional GAN for Posterior Sampling in Image Recovery Problemscited by 9
- 2023Learning DAGs from Data with Few Root Causescited by 8
- 2023On the 1-Wasserstein Distance between Location-Scale Distributions and the Effect of Differential Privacycited by 7
- 2021A generalization of the randomized singular value decompositioncited by 6
- 2024Active Learning for Derivative-Based Global Sensitivity Analysis with Gaussian Processescited by 5
19 more
- 2024IntraMix: Intra-Class Mixup Generation for Accurate Labels and Neighborscited by 4
- 2021Recurrent Inference Machines as inverse problem solvers for MR relaxometrycited by 3
- 2021Adversarially-Trained Nonnegative Matrix Factorizationcited by 2
- 2025Anchored Langevin Algorithmscited by 2
- 2021Is Shapley Explanation for a model unique?cited by 1
- 2022General multi-fidelity surrogate models: Framework and active learning strategies for efficient rare event simulationcited by 1
- 2023Graph Neural Network Surrogates of Fair Graph Filteringcited by 1
- 2025Boosting Ray Search Procedure of Hard-label Attacks with Transfer-based Priorscited by 1
- 2022Adversarial Sign-Corrupted Isotonic Regressioncited by 0
- 2023Hypothesis testing on invariant subspaces of non-diagonalizable matrices with applications to network statisticscited by 0
- 2023Counterpart Fairness -- Addressing Systematic between-group Differences in Fairness Evaluationcited by 0
- 2024The Relevance Feature and Vector Machine for health applicationscited by 0
- 2024Quantifying Local Model Validity using Active Learningcited by 0
- 2024Robust Regression with Ensembles Communicating over Noisy Channelscited by 0
- 2024Linear-time One-Class Classification with Repeated Element-wise Foldingcited by 0
- 2026Improving Selective Classification with Pairwise Queries for Binary Classificationcited by 0
- 2026A Robust Optimization Approach to Sparse Principal Component Analysiscited by 0
- 2026The Regularization Parameter: Sparse Precision Matrix Estimationcited by 0
- 2026Poor Man's Agentic Modeling: Simulating Large LLM-Agent Societies on a Laptopcited by 0
- 2026Poor Man's Agentic Modeling: Simulating Large LLM-Agent Societies on a Laptop19 Jul 2026
- 2026The Regularization Parameter: Sparse Precision Matrix Estimation7 Jul 2026
- 2026A Robust Optimization Approach to Sparse Principal Component Analysis2 Jun 2026
- 2026Improving Selective Classification with Pairwise Queries for Binary Classification28 May 2026
- 2025Anchored Langevin Algorithms23 Sep 2025
- 2025Boosting Ray Search Procedure of Hard-label Attacks with Transfer-based Priors23 Jul 2025
- 2024Linear-time One-Class Classification with Repeated Element-wise Folding21 Aug 2024
- 2024Robust Regression with Ensembles Communicating over Noisy Channels20 Aug 2024
- 2024Active Learning for Derivative-Based Global Sensitivity Analysis with Gaussian Processes13 Jul 2024
- 2024Quantifying Local Model Validity using Active Learning11 Jun 2024
- 2024IntraMix: Intra-Class Mixup Generation for Accurate Labels and Neighbors2 May 2024
- 2024The Relevance Feature and Vector Machine for health applications11 Feb 2024
19 more
- 2023Adaptive Message Passing: A General Framework to Mitigate Oversmoothing, Oversquashing, and Underreaching27 Dec 2023
- 2023Counterpart Fairness -- Addressing Systematic between-group Differences in Fairness Evaluation29 May 2023
- 2023Learning DAGs from Data with Few Root Causes25 May 2023
- 2023On the 1-Wasserstein Distance between Location-Scale Distributions and the Effect of Differential Privacy28 Apr 2023
- 2023Hypothesis testing on invariant subspaces of non-diagonalizable matrices with applications to network statistics31 Mar 2023
- 2023Graph Neural Network Surrogates of Fair Graph Filtering14 Mar 2023
- 2022General multi-fidelity surrogate models: Framework and active learning strategies for efficient rare event simulation7 Dec 2022
- 2022A Regularized Conditional GAN for Posterior Sampling in Image Recovery Problems24 Oct 2022
- 2022Relational Reasoning via Set Transformers: Provable Efficiency and Applications to MARL20 Sep 2022
- 2022Adversarial Sign-Corrupted Isotonic Regression14 Jul 2022
- 2022A Review on Viewpoints and Path-planning for UAV-based 3D Reconstruction7 May 2022
- 2022Better Uncertainty Calibration via Proper Scores for Classification and Beyond15 Mar 2022
- 2022Uncertainty Estimation for Computed Tomography with a Linearised Deep Image Prior28 Feb 2022
- 2021Is Shapley Explanation for a model unique?23 Nov 2021
- 2021Learning Pessimism for Robust and Efficient Off-Policy Reinforcement Learning7 Oct 2021
- 2021Recurrent Inference Machines as inverse problem solvers for MR relaxometry8 Jun 2021
- 2021A generalization of the randomized singular value decomposition27 May 2021
- 2021Adversarially-Trained Nonnegative Matrix Factorization10 Apr 2021
- 2021Learning elliptic partial differential equations with randomized linear algebra31 Jan 2021
- 2022Better Uncertainty Calibration via Proper Scores for Classification and Beyondcited by 65
- 2021Learning elliptic partial differential equations with randomized linear algebracited by 29
- 2023Adaptive Message Passing: A General Framework to Mitigate Oversmoothing, Oversquashing, and Underreachingcited by 23
- 2021Learning Pessimism for Robust and Efficient Off-Policy Reinforcement Learningcited by 18
- 2022A Review on Viewpoints and Path-planning for UAV-based 3D Reconstructioncited by 14
- 2022Relational Reasoning via Set Transformers: Provable Efficiency and Applications to MARLcited by 12
- 2022Uncertainty Estimation for Computed Tomography with a Linearised Deep Image Priorcited by 10
- 2022A Regularized Conditional GAN for Posterior Sampling in Image Recovery Problemscited by 9
- 2023Learning DAGs from Data with Few Root Causescited by 8
- 2023On the 1-Wasserstein Distance between Location-Scale Distributions and the Effect of Differential Privacycited by 7
- 2021A generalization of the randomized singular value decompositioncited by 6
- 2024Active Learning for Derivative-Based Global Sensitivity Analysis with Gaussian Processescited by 5
12 most cited of 30 All 30 (JSON)
- 2026The Regularization Parameter: Sparse Precision Matrix Estimation7 Jul 2026
- 2026A Robust Optimization Approach to Sparse Principal Component Analysis2 Jun 2026
- 2026Improving Selective Classification with Pairwise Queries for Binary Classification28 May 2026
- 2025Anchored Langevin Algorithms23 Sep 2025
- 2025Boosting Ray Search Procedure of Hard-label Attacks with Transfer-based Priors23 Jul 2025
- 2024Linear-time One-Class Classification with Repeated Element-wise Folding21 Aug 2024
- 2024Robust Regression with Ensembles Communicating over Noisy Channels20 Aug 2024
- 2024Active Learning for Derivative-Based Global Sensitivity Analysis with Gaussian Processes13 Jul 2024
- 2024Quantifying Local Model Validity using Active Learning11 Jun 2024
- 2024IntraMix: Intra-Class Mixup Generation for Accurate Labels and Neighbors2 May 2024
- 2024The Relevance Feature and Vector Machine for health applications11 Feb 2024
- 2023Adaptive Message Passing: A General Framework to Mitigate Oversmoothing, Oversquashing, and Underreaching27 Dec 2023
12 newest of 30 All 30 (JSON)