A convex optimization approach to high-dimensional sparse quadratic discriminant analysis
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Publication:820816
DOI10.1214/20-AOS2012zbMath1475.62178arXiv1912.02872OpenAlexW3192077271MaRDI QIDQ820816
Publication date: 28 September 2021
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.02872
classificationminimax lower boundhigh-dimensional dataoptimal rate of convergencequadratic discriminant analysisconstrained \(\ell_1\) minimization
Estimation in multivariate analysis (62H12) Classification and discrimination; cluster analysis (statistical aspects) (62H30) Measures of association (correlation, canonical correlation, etc.) (62H20) Minimax procedures in statistical decision theory (62C20)
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- Statistical analysis of latent generalized correlation matrix estimation in transelliptical distribution
- Regularized rank-based estimation of high-dimensional nonparanormal graphical models
- Smooth discrimination analysis
- A unified theory of confidence regions and testing for high-dimensional estimating equations
- Some theory for Fisher's linear discriminant function, `naive Bayes', and some alternatives when there are many more variables than observations
- High-dimensional semiparametric Gaussian copula graphical models
- ROCKET: robust confidence intervals via Kendall's tau for transelliptical graphical models
- Sparse semiparametric discriminant analysis
- Law of log determinant of sample covariance matrix and optimal estimation of differential entropy for high-dimensional Gaussian distributions
- CHIME: clustering of high-dimensional Gaussian mixtures with EM algorithm and its optimality
- Direct estimation of differential networks
- A direct approach to sparse discriminant analysis in ultra-high dimensions
- A Direct Estimation Approach to Sparse Linear Discriminant Analysis
- Sparse Quadratic Discriminant Analysis For High Dimensional Data
- Discriminant analysis through a semiparametric model
- High-Dimensional Gaussian Copula Regression: Adaptive Estimation and Statistical Inference
- High Dimensional Linear Discriminant Analysis: Optimality, Adaptive Algorithm and Missing Data
- Testing differential networks with applications to the detection of gene-gene interactions
- Introduction to nonparametric estimation