THE BREGMAN PROXIMAL AVERAGE

THE BREGMAN PROXIMAL AVERAGE

We provide a proximal average with respect to a 1-coercive Legendre function. In the sense of Bregman distance, the Bregman envelope of the proximal average is a convex combination of Bregman envelopes of individual functions. The Bregman proximal mapping of the average is a convex combination of co...

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Bibliographic Details
Main Authors: Bauschke, H.H (Author), Wang, X. (Author)
Format: Article
Language:English
Published: Society for Industrial and Applied Mathematics Publications 2022
Subjects:
Bounded function
Bregman
Bregman distance
Bregman distances
Bregman envelope
Bregman proximal average
Bregman proximal mapping
Combettes-reye anisotropic envelope
Combettes-reye proximal mapping
Combettes-Reyes anisotropic envelope
Combettes-Reyes proximal mapping
epi-convergence
Epi-convergence
Legendre function
Legendre's functions
Mapping
Proximal mapping
Variational techniques
Φ -prox-bounded function
ϕ -prox-bounded function
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