边界约束优化问题一个新的投影梯度方法<br>A New Projected Gradient Method for Bound Constrained Optimization

2011 ◽  
Vol 01 (01) ◽  
pp. 46-50
Author(s):  
牛 善洲
Keyword(s):  
Constrained Optimization ◽  
Gradient Method ◽  
Projected Gradient Method ◽  
Projected Gradient ◽  
Bound Constrained Optimization

An Inexact Projected Gradient Method for Sparsity-Constrained Quadratic Measurements Regression

2019 ◽  
Vol 36 (02) ◽  
pp. 1940008
Author(s):  
Jun Fan ◽  
Liqun Wang ◽  
Ailing Yan
Keyword(s):  
Gradient Method ◽  
Least Squares Method ◽  
Optimal Solution ◽  
High Dimensional ◽  
Sparse Signals ◽  
Projected Gradient Method ◽  
Constrained Least Squares ◽  
Projected Gradient ◽  
High Dimensional Case ◽  
Noisy Measurements

In this paper, we employ the sparsity-constrained least squares method to reconstruct sparse signals from the noisy measurements in high-dimensional case, and derive the existence of the optimal solution under certain conditions. We propose an inexact sparse-projected gradient method for numerical computation and discuss its convergence. Moreover, we present numerical results to demonstrate the efficiency of the proposed method.

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