scholarly journals Multivariate extensions of isotonic regression and total variation denoising via entire monotonicity and Hardy–Krause variation

2021 ◽  
Vol 49 (2) ◽  
Author(s):  
Billy Fang ◽  
Adityanand Guntuboyina ◽  
Bodhisattva Sen
Keyword(s):  
Total Variation ◽  
Isotonic Regression ◽  
Total Variation Denoising

scholarly journals Exact solutions for the total variation denoising problem of piecewise constant images in dimension one

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Riccardo Cristoferi
Keyword(s):  
Exact Solution ◽  
Exact Solutions ◽  
Total Variation ◽  
Piecewise Constant ◽  
Geometrical Properties ◽  
Total Variation Denoising ◽  
Fidelity Term ◽  
Dimension One

AbstractA method for obtaining the exact solution for the total variation denoising problem of piecewise constant images in dimension one is presented. The validity of the algorithm relies on some results concerning the behavior of the solution when the parameter λ in front of the fidelity term varies. Albeit some of them are well-known in the community, here they are proved with simple techniques based on qualitative geometrical properties of the solutions.

An adaptive fixed-point proximity algorithm for solving total variation denoising models

2017 ◽  
Vol 402 ◽  
pp. 69-81 ◽  
Author(s):  
Jin-He Wang ◽  
Fan-Yun Meng ◽  
Li-Ping Pang ◽  
Xing-Hua Hao
Keyword(s):  
Fixed Point ◽  
Total Variation ◽  
Total Variation Denoising

Application of total variation denoising in nuclear power plant signal pre-processing

2020 ◽  
Vol 135 ◽  
pp. 106981 ◽  
Author(s):  
Bo Yang ◽  
Hong Xia ◽  
M. Annor-Nyarko ◽  
Zhichao Wang
Keyword(s):  
Power Plant ◽  
Nuclear Power Plant ◽  
Total Variation ◽  
Nuclear Power ◽  
Total Variation Denoising
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