MARS via lasso
From MaRDI portal
Publication:6608682
DOI10.1214/24-aos2384MaRDI QIDQ6608682
Dohyeong Ki, Billy Fang, Adityanand Guntuboyina
Publication date: 20 September 2024
Published in: The Annals of Statistics (Search for Journal in Brave)
tensor productsnonparametric regressioncurse of dimensionalityHardy-Krause variationsmall ball probabilitytotal variation regularizationinfinite-dimensional optimizationmixed derivativestrend filteringL1 penaltyintegrated Brownian sheetmetric entropy boundsconstrained least squares estimationbracketing entropy boundslocally adaptive regression splinepiecewise linear function estimation
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Exact reconstruction using Beurling minimal extrapolation
- Splines in higher order TV regularization
- Exact support recovery for sparse spikes deconvolution
- Entropy estimate for \(k\)-monotone functions via small ball probability of integrated Brownian motions
- Multivariate adaptive regression splines
- Locally adaptive regression splines
- Quadratic functionals and small ball probabilities for the \(m\)-fold integrated Brownian motion
- Approximation, metric entropy and small ball estimates for Gaussian measures
- On convexified packing and entropy duality
- Tensor product space ANOVA models.
- Metric entropy of integration operators and small ball probabilites for the Brownian sheet
- Hyperbolic cross approximation. Lecture notes given at the courses on constructive approximation and harmonic analysis, Barcelona, Spain, May 30 -- June 3, 2016
- Multivariate extensions of isotonic regression and total variation denoising via entire monotonicity and Hardy-Krause variation
- Tensor denoising with trend filtering
- Adaptive risk bounds in univariate total variation denoising and trend filtering
- Atomic norm minimization for decomposition into complex exponentials and optimal transport in Fourier domain
- Additive models with trend filtering
- Adaptive piecewise polynomial estimation via trend filtering
- Learning multivariate functions with low-dimensional structures using polynomial bases
- Exact Solutions to Super Resolution on Semi-Algebraic Domains in Higher Dimensions
- $\ell_1$ Trend Filtering
- Multivariate Approximation
- Inverse problems in spaces of measures
- Interpretable Approximation of High-Dimensional Data
- Hierarchical Total Variations and Doubly Penalized ANOVA Modeling for Multivariate Nonparametric Regression
- The sliding Frank–Wolfe algorithm and its application to super-resolution microscopy
- Sparse grids
- Multidimensional Variation for Quasi-Monte Carlo
- Towards a Mathematical Theory of Super‐resolution
- Metric entropy of high dimensional distributions
- ℓ1 Regularization in Infinite Dimensional Feature Spaces
- Functions of bounded variation, signed measures, and a general Koksma–Hlawka inequality
- Near-Minimax Optimal Estimation With Shallow ReLU Neural Networks
- The Elements of Statistical Learning
- Backfitting algorithms for total-variation and empirical-norm penalized additive modelling with high-dimensional data
- Efficient estimation of pathwise differentiable target parameters with the undersmoothed highly adaptive lasso
This page was built for publication: MARS via lasso
