soft-thresholding operator
时间: 2024-05-28 09:12:11 浏览: 22
The soft-thresholding operator is a mathematical function commonly used in signal processing and machine learning. It is a nonlinear function that maps each input value to an output value based on a threshold parameter. The soft-thresholding operator is defined as:
S(x, λ) = sign(x) * max(|x| - λ, 0)
where x is the input value, λ is the threshold parameter, and sign(x) is the sign function that returns -1 if x is negative, 0 if x is zero, and 1 if x is positive.
The soft-thresholding operator is often used in signal denoising to reduce the noise in a signal by setting small values to zero. It is also used in sparse signal recovery to promote sparsity in the reconstructed signal. In machine learning, the soft-thresholding operator is used in regularized regression methods such as Lasso regression to impose a penalty on the size of the coefficients.
相关推荐
![pdf](https://img-home.csdnimg.cn/images/20210720083512.png)
![zip](https://img-home.csdnimg.cn/images/20210720083736.png)
![zip](https://img-home.csdnimg.cn/images/20210720083736.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)