Hard-thresholding Operator on A Covariance MatrixBinhuan Wang
1、硬阈值(Hard Thresholding)函数的符号 硬阈值(Hard Thresholding)并没有软阈值(Soft Thresholding)那么常见,这可能是因为硬阈值解决的问题是非凸的原因吧。硬阈值与软阈值由同一篇文献提出,硬阈值公式参见文献【1】的式( 11): 第一次邂逅硬阈值(HardThresholding)是在文献【2】中: 在查询软阈值(Soft Thresholdin...
这篇文章主要探讨了如何通过迭代硬阈值算法(Iterative Hard Thresholding, IHT)在稀疏信号恢复中提高计算效率。 文章提出了一种改进的方法,称为正则化迭代硬阈值算法(Normalized Iterative Hard Thresholding),其主要目的是解决传统算法在处理某些条件下的计算不稳定性,特别是矩阵缩放问题。 主要假设条件: 信号稀疏性假设:...
Specifying the PHT operator, we obtain the best known results for hard thresholding pursuit and orthogonal matching pursuit with replacement. Experiments on the simulated data complement our theoretical findings and also illustrate the effectiveness of PHT. 展开 ...
Iterative hard thresholding for compressed sensing with partially known support Recent works in modified compressed sensing (CS) show that reconstruction of sparse or compressible signals with partially known support yields better resu... RE Carrillo,LF Polania,KE Barner - IEEE 被引量: 34发表: 2011...
The IHT algorithm is an iterative method xn+1 = Hk (xn + ?ΦT (y ? Φxn )), (3) where Hk is the hard thresholding operator that sets all but the k largest (in magnitude) elements1 in a vector to zero. IHT is a very simple algorithm and yet, it can be shown that, under ...
For this problem, we propose a novel partial hard-thresholding operator that leads to a general family of iterative algorithms. While one extreme of the ... P Jain,A Tewari,IS Dhillon - 《Mathematics》 被引量: 86发表: 2011年 Deterministic construction of Fourier-based compressed sensing matrice...
Iterative hard thresholding (IHT) is a class of effective methods to compute sparse solution for underdetermined linear system. In this paper, an efficient IHT method with theoretical guarantee is proposed and named SCIHTBB with attractive features: (1) Monotone and Non-Monotone versions are presente...
Moreover, PNS and RMP failed to survive the thresholding process, so they did not appear in G2 network. In contrast, the ‘degree’ of anterior tooth points, B point, and Pog increased, as shown by their redder node colour. Overall, the global network metrics of the two groups were ...
Specially when A is the identity matrix such that κ(A, 2k) ≡ 1, our bound recovers the previously known nearly non-expansive bounds for Euclidean hard thresholding operator. We further show that such a bound extends to an approximate version of HA,k(w) estimated by Hard Thresholding ...