Recent progress in log-concave density estimation
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Abstract (arXiv)
In recent years, log-concave density estimation via maximum likelihood estimation has emerged as a fascinating alternative to traditional nonparametric smoothing techniques, such as kernel density estimation, which require the choice of one or more bandwidths. The purpose of this article is to describe some of the properties of the class of log-concave densities on ℝd which make it so attractive from a statistical perspective, and to outline the latest methodological, theoretical and computational advances in the area.
Key facts. Cited by 15 papers in the map (data through 7 Oct 2026). First posted on arXiv 10 Sep 2017.
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Citing papers per year: 2021: 5; 2022: 3; 2023: 3; 2024: 0; 2025: 0; 2026: 4.
15 papers.
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- 2021Adaptive transfer learningcited by 4
- 2021On the Minimal Error of Empirical Risk Minimizationcited by 3
- 2021Universal Inference Meets Random Projections: A Scalable Test for Log-concavitycited by 3
- 2021Boosting in Univariate Nonparametric Maximum Likelihood Estimationcited by 2
- 2023Sharp-SSL: Selective high-dimensional axis-aligned random projections for semi-supervised learningcited by 2
- 2023On the quality of randomized approximations of Tukey's depthcited by 2
- 2021Active-set algorithms based statistical inference for shape-restricted generalized additive Cox regression modelscited by 0
- 2022Truncated LinUCB for Stochastic Linear Banditscited by 0
- 2022An Efficient Minimax Optimal Estimator For Multivariate Convex Regressioncited by 0
- 2022Log-concave density estimation in undirected graphical modelscited by 0
- 2023A statistical perspective on algorithm unrolling models for inverse problemscited by 0
- 2026Simultaneous estimation of multiple discrete unimodal distributions under stochastic order constraintscited by 0
3 more
- 2026Density estimation for Hellinger via minimum-distance estimators: mixtures of Gaussians, log-concave, and morecited by 0
- 2026Nonparametric Hypothesis Testing of High-dimensional Clustering With Application to Single-cell RNA Datacited by 0
- 2026Instance-Optimal Adaptive Location Estimation via Multiscale Mid-Summariescited by 0
- 2026Instance-Optimal Adaptive Location Estimation via Multiscale Mid-Summaries17 Sep 2026
- 2026Nonparametric Hypothesis Testing of High-dimensional Clustering With Application to Single-cell RNA Data4 Sep 2026
- 2026Density estimation for Hellinger via minimum-distance estimators: mixtures of Gaussians, log-concave, and more9 Jun 2026
- 2026Simultaneous estimation of multiple discrete unimodal distributions under stochastic order constraints12 Mar 2026
- 2023A statistical perspective on algorithm unrolling models for inverse problems10 Nov 2023
- 2023On the quality of randomized approximations of Tukey's depth11 Sep 2023
- 2023Sharp-SSL: Selective high-dimensional axis-aligned random projections for semi-supervised learning18 Apr 2023
- 2022Log-concave density estimation in undirected graphical models10 Jun 2022
- 2022An Efficient Minimax Optimal Estimator For Multivariate Convex Regression6 May 2022
- 2022Truncated LinUCB for Stochastic Linear Bandits23 Feb 2022
- 2021Universal Inference Meets Random Projections: A Scalable Test for Log-concavity17 Nov 2021
- 2021Active-set algorithms based statistical inference for shape-restricted generalized additive Cox regression models29 Jun 2021
3 more
- 2021Adaptive transfer learning8 Jun 2021
- 2021On the Minimal Error of Empirical Risk Minimization24 Feb 2021
- 2021Boosting in Univariate Nonparametric Maximum Likelihood Estimation21 Jan 2021
- 2021Adaptive transfer learningcited by 4
- 2021On the Minimal Error of Empirical Risk Minimizationcited by 3
- 2021Universal Inference Meets Random Projections: A Scalable Test for Log-concavitycited by 3
- 2021Boosting in Univariate Nonparametric Maximum Likelihood Estimationcited by 2
- 2023Sharp-SSL: Selective high-dimensional axis-aligned random projections for semi-supervised learningcited by 2
- 2023On the quality of randomized approximations of Tukey's depthcited by 2
- 2021Active-set algorithms based statistical inference for shape-restricted generalized additive Cox regression modelscited by 0
- 2022Truncated LinUCB for Stochastic Linear Banditscited by 0
- 2022An Efficient Minimax Optimal Estimator For Multivariate Convex Regressioncited by 0
- 2022Log-concave density estimation in undirected graphical modelscited by 0
- 2023A statistical perspective on algorithm unrolling models for inverse problemscited by 0
- 2026Simultaneous estimation of multiple discrete unimodal distributions under stochastic order constraintscited by 0
12 most cited of 15 All 15 (JSON)
- 2026Instance-Optimal Adaptive Location Estimation via Multiscale Mid-Summaries17 Sep 2026
- 2026Nonparametric Hypothesis Testing of High-dimensional Clustering With Application to Single-cell RNA Data4 Sep 2026
- 2026Density estimation for Hellinger via minimum-distance estimators: mixtures of Gaussians, log-concave, and more9 Jun 2026
- 2026Simultaneous estimation of multiple discrete unimodal distributions under stochastic order constraints12 Mar 2026
- 2023A statistical perspective on algorithm unrolling models for inverse problems10 Nov 2023
- 2023On the quality of randomized approximations of Tukey's depth11 Sep 2023
- 2023Sharp-SSL: Selective high-dimensional axis-aligned random projections for semi-supervised learning18 Apr 2023
- 2022Log-concave density estimation in undirected graphical models10 Jun 2022
- 2022An Efficient Minimax Optimal Estimator For Multivariate Convex Regression6 May 2022
- 2022Truncated LinUCB for Stochastic Linear Bandits23 Feb 2022
- 2021Universal Inference Meets Random Projections: A Scalable Test for Log-concavity17 Nov 2021
- 2021Active-set algorithms based statistical inference for shape-restricted generalized additive Cox regression models29 Jun 2021
12 newest of 15 All 15 (JSON)