Faster gradient descent and the efficient recovery of images
文献类型：期刊论文
| 作者 | Hui Huang; Uri Ascher |
| 刊名 | Vietnam Journal of Mathematics
 |
| 出版日期 | 2014 |
| 英文摘要 | Much recent attention has been devoted to gradient descent algorithms where the steepest descent step size is replaced by a similar one from a previous iteration or gets updated only once every second step, thus forming a faster gradient descent method. Forunconstrained convex quadratic optimization these methods can converge much faster than steepest descent. But the context of interest here is application to certain ill-posed inverse problems, where the steepest descent method is known to have a smoothing, regularizing effect, and where a strict optimization solution is not necessary Specifically, in this paper we examine the effect of replacing steepest descent by a faster gradient descent algorithm in the practical context of image deblurring and denoising tasks. We also propose several highly efficient schemes for carrying out these tasks independently of the step size selection, as well as a scheme for the case where both blur and significant noise are present.Specifically, in this paper we examine the effect of replacing steepest descent by a faster gradient descent algorithm in the practical context of image deblurring and denoising tasks. We also propose several highly efficient schemes for carrying out these tasks independently of the step size selection, as well as a scheme for the case where both blur and significant noise are present.Specifically, in this paper we examine the effect of replacing steepest descent by a faster gradient descent algorithm in the practical context of image deblurring and denoising tasks. We also propose several highly efficient schemes for carrying out these tasks independently of the step size selection, as well as a scheme for the case where both blur and significant noise are present. |
| 收录类别 | 其他 |
| 原文出处 | http://download.springer.com/static/pdf/608/art%253A10.1007%252Fs10013-013-0055-x.pdf?originUrl=http%3A%2F%2Flink.springer.com%2Farticle%2F10.1007%2Fs10013-013-0055-x&token2=exp=1434203881~acl=%2Fstatic%2Fpdf%2F608%2Fart%25253A10.1007%25252Fs10013-013-0055-x.pdf%3ForiginUrl%3Dhttp%253A%252F%252Flink.springer.com%252Farticle%252F10.1007%252Fs10013-013-0055-x*~hmac=a8b809e76e1db911ca6f706853f149930277575371f197bde8dfbf1885feaaed |
| 语种 | 英语 |
| 源URL | [http://ir.siat.ac.cn:8080/handle/172644/5984]  |
| 专题 | 深圳先进技术研究院_数字所 |
| 作者单位 | Vietnam Journal of Mathematics |
| 推荐引用方式 GB/T 7714 | Hui Huang,Uri Ascher. Faster gradient descent and the efficient recovery of images[J]. Vietnam Journal of Mathematics,2014. |
| APA | Hui Huang,&Uri Ascher.(2014).Faster gradient descent and the efficient recovery of images.Vietnam Journal of Mathematics. |
| MLA | Hui Huang,et al."Faster gradient descent and the efficient recovery of images".Vietnam Journal of Mathematics (2014). |
入库方式： OAI收割
来源：深圳先进技术研究院
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