Elastic-net regularization: Iterative algorithms and asymptotic behavior of solutions

Umanita V.; Villa S.

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Elastic-net regularization: Iterative algorithms and asymptotic behavior of solutions

机译：弹性网正则化：迭代算法和解的渐近行为

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We derive strongly convergent algorithms to solve inverse problems involving elastic-net regularization. Moreover, using functional analysis techniques, we provide a rigorous study of the asymptotic properties of the regularized solutions that allows to cast in a unified framework 1, elastic-net and classical Tikhonov regularization.

机译：我们得出强收敛算法来解决涉及弹性网正则化的逆问题。此外，使用功能分析技术，我们对正则化解的渐近性质进行了严格的研究，从而可以在统一框架1中进行转换，即弹性网和经典Tikhonov正则化。

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《Numerical Functional Analysis and Optimization》 |2010年第12期|共27页
作者
Umanita V.; Villa S.;
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正文语种 eng
中图分类泛函分析;
关键词
Elastic-net regularization; Forward-backward splitting algorithm; Linear inverse problems;

机译：弹性网正则化;正反分裂算法;线性逆问题;

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专利

1. Elastic-Net Regularization: Iterative Algorithms and Asymptotic Behavior of Solutions [J] . Veronica UmanitÃ Numerical Functional Analysis and Optimization . 2010,第12期

机译：弹性网正则化：迭代算法和解的渐近行为
2. Error Analysis for Matrix Elastic-Net Regularization Algorithms [J] . Hong Li Neural Networks and Learning Systems, IEEE Transactions on . 2012,第5期

机译：矩阵弹性网正则化算法的误差分析
3. Novel Iterative Algorithms Based on Regularization Total Least Squares for Solving the Numerical Solution of Discrete Fredholm Integral Equation [J] . Zichun Yang, Lei Zhang, Yueyun Cao Computer Modeling in Engineering & Sciences . 2014,第2期

机译：基于正则化总方块的新型迭代算法，用于求解离散弗雷德霍姆积分方程的数值解
4. Tomographic SAR Optimization by The Newton Iteration Algorithm Regularization - The Second Order Cone Programming Solution [C] . Biondi Filippo European Conference on Synthetic Aperture Radar . 2014

机译：牛顿迭代算法正则化的层析成像SAR优化-二阶锥规划算法。
5. An asymptotical O(sqrt(n) L)-iteration path-following linear programming algorithm that uses Wider Neighborhood and its implementation [D] . Hung, Pi-Fang. 1994

机译：一种渐近o（SQRT（n）l）逻辑路径跟踪线性编程算法，其使用更广泛的邻域及其实现
6. A weighted denoising method based on Bregman iterative regularization and gradient projection algorithms [O] . Beilei Tong -1

机译：基于Bregman迭代正则化和梯度投影算法的加权去噪方法
7. A consistent algorithm to solve Lasso, elastic-net and Tikhonov regularization. [O] . ERNESTO DE VITO, SILVIA VILLA, VERONICA UMANITÀ 2011

机译：解决套索，弹性网和Tikhonov正则化的一致算法。

Elastic-net regularization: Iterative algorithms and asymptotic behavior of solutions

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