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math.ST2025
Exact recovery in the double sparse model: sufficient and necessary signal conditions
Shixiang Liu, Zhifan Li, Yanhang Zhang +1
The double sparse linear model, which has both group-wise and element-wise sparsity in regression coefficients, has attracted lots of attention recently. This paper establishes the…
math.ST2025
Rethinking Hard Thresholding Pursuit: Full Adaptation and Sharp Estimation
Yanhang Zhang, Zhifan Li, Shixiang Liu +2
Hard Thresholding Pursuit (HTP) has aroused increasing attention for its robust theoretical guarantees and impressive numerical performance in non-convex optimization. In this pape…
math.ST2024
A minimax optimal approach to high-dimensional double sparse linear regression
Yanhang Zhang, Zhifan Li, Shixiang Liu +1
In this paper, we focus our attention on the high-dimensional double sparse linear regression, that is, a combination of element-wise and group-wise sparsity. To address this probl…