Existence and uniqueness of optimal transport maps obtained by the secondary variational method

2021 ◽  
Vol 312 (1) ◽  
pp. 75-102
Author(s):  
Ping Chen ◽  
Hai-Rong Liu ◽  
Xiao-Ping Yang
Keyword(s):  
Variational Method ◽  
Existence And Uniqueness ◽  
Optimal Transport ◽  
Transport Maps

scholarly journals Existence and uniqueness of optimal transport maps

2015 ◽  
Vol 32 (6) ◽  
pp. 1367-1377 ◽  
Author(s):  
Fabio Cavalletti ◽  
Martin Huesmann
Keyword(s):  
Existence And Uniqueness ◽  
Optimal Transport ◽  
Transport Maps

scholarly journals Sharp boundary ε-regularity of optimal transport maps

2021 ◽  
Vol 381 ◽  
pp. 107603
Author(s):  
Tatsuya Miura ◽  
Felix Otto
Keyword(s):  
Optimal Transport ◽  
Sharp Boundary ◽  
Transport Maps

scholarly journals Regularity of optimal transport maps on multiple products of spheres

2013 ◽  
Vol 15 (4) ◽  
pp. 1131-1166 ◽  
Author(s):  
Alessio Figalli ◽  
Young-Heon Kim ◽  
Robert McCann
Keyword(s):  
Optimal Transport ◽  
Multiple Products ◽  
Transport Maps ◽  
Products Of Spheres

scholarly journals A hybrid regularizers model for multiplicative noise removal

2021 ◽  
pp. 40-50
Author(s):  
Thi Thu Thao Tran ◽  
Cong Thang Pham ◽  
Duc Hong Vo ◽  
Duc Hoang Vo
Keyword(s):  
Variational Method ◽  
Minimization Problem ◽  
Existence And Uniqueness ◽  
Multiplicative Noise ◽  
State Of The Art ◽  
Noise Removal ◽  
Alternating Minimization ◽  
Minimization Method ◽  
Multiplicative Noise Removal ◽  
Alternating Minimization Method

In this paper, we propose a variational method for restoring images corrupted by multiplicative noise. Computationally, we employ the alternating minimization method to solve our minimization problem. We also study the existence and uniqueness of the proposed problem. Finally, experimental results are provided to demonstrate the superiority of our proposed hybrid model and algorithm for image denoising in comparison with state-of-the-art methods.

scholarly journals Parseval’s identity and optimal transport maps

2021 ◽  
Vol 170 ◽  
pp. 108989
Author(s):  
N. Ghaffari ◽  
S.G. Walker
Keyword(s):  
Optimal Transport ◽  
Transport Maps

Optimal transport maps on infinite dimensional spaces

2015 ◽  
Vol 10 (4) ◽  
pp. 715-732
Author(s):  
Shizan Fang ◽  
Vincent Nolot
Keyword(s):  
Optimal Transport ◽  
Infinite Dimensional ◽  
Transport Maps

Existence of optimal transport maps for crystalline norms

2004 ◽  
Vol 125 (2) ◽  
pp. 207-241 ◽  
Author(s):  
L. Ambrosio ◽  
B. Kirchheim ◽  
A. Pratelli
Keyword(s):  
Optimal Transport ◽  
Transport Maps

scholarly journals Partial W 2,p regularity for optimal transport maps

2017 ◽  
Vol 272 (11) ◽  
pp. 4588-4605 ◽  
Author(s):  
Shibing Chen ◽  
Alessio Figalli
Keyword(s):  
Optimal Transport ◽  
Transport Maps
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