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math.ST2024★ 1 cited
Penalized spline estimation of principal components for sparse functional data: rates of convergence
Shiyuan He, Jianhua Z. Huang, Kejun He
This paper gives a comprehensive treatment of the convergence rates of penalized spline estimators for simultaneously estimating several leading principal component functions, when…
math.ST2022
A Unified Analysis of Multi-task Functional Linear Regression Models with Manifold Constraint and Composite Quadratic Penalty
Shiyuan He, Hanxuan Ye, Kejun He
This work studies the multi-task functional linear regression models where both the covariates and the unknown regression coefficients (called slope functions) are curves. For slop…
math.ST2016★ 2 cited
Asymptotic properties of adaptive group Lasso for sparse reduced rank regression
Kejun He, Jianhua Z. Huang
This paper studies the asymptotic properties of the penalized least squares estimator using an adaptive group Lasso penalty for the reduced rank regression. The group Lasso penalty…