Results 1 to 10 of about 1,247,772 (153)
Local Monotone Operator Learning Using Non-Monotone Operators: MnM-MOL [PDF]
IEEE Transactions on Computational Imaging, 2023 The recovery of magnetic resonance (MR) images from undersampled measurements is a key problem that has been the subject of extensive research in recent years.
Maneesh John +2 more
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On the Monotone Polar and Representable Closures of Monotone Operators
Journal of Convex Analysis, 2014 Fitzpatrick proved that maximal monotone operators in topological vector spaces are representable by lower semi-continuous convex functions. A monotone operator is representable if it can be represented by a lower-semicontinuous convex function.
Orestes Bueno +2 more
semanticscholar +3 more sources
On θ-generalized demimetric mappings and monotone operators in Hadamard spaces
Demonstratio Mathematica, 2020 Our main interest in this article is to introduce and study the class of θ-generalized demimetric mappings in Hadamard spaces. Also, a Halpern-type proximal point algorithm comprising this class of mappings and resolvents of monotone operators is ...
Ogwo Grace N. +3 more
doaj +2 more sources
Around Operator Monotone Functions [PDF]
Integral Equations and Operator Theory, 2011 We show that the symmetrized product $AB+BA$ of two positive operators $A$ and $B$ is positive if and only if $f(A+B)\leq f(A)+f(B)$ for all non-negative operator monotone functions $f$ on $[0,\infty)$ and deduce an operator inequality. We also give a necessary and sufficient condition for that the composition $f\circ g$ of an operator convex function $
Mohammad Sal Moslehian, Hamed Najafi
exaly +4 more sources
A note on quasi-monotone operators
International Journal of Mathematics and Mathematical Sciences, 1987 The treatment of nonlinear problems using a general framework is often a delicate issue. This is illustrated by the fact that the quasi-monotone operators of M. A. Noor are constant operators.
S. S. Chow
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New view of fuzzy aggregations. Part III: extensions of the FPOWA operator in the problem of political management [PDF]
Journal of Fuzzy Extension and Applications, 2021 The Ordered Weighted Averaging (OWA) operator was introduced by Yager [34] to provide a method for aggregating inputs that lie between the max and min operators.
Gia Sirbiladze
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Resolvent splitting for sums of monotone operators with minimal lifting [PDF]
Mathematical programming, 2021 In this work, we study fixed point algorithms for finding a zero in the sum of n≥2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage ...
Yura Malitsky, Matthew K. Tam
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Invertible Monotone Operators for Normalizing Flows [PDF]
Neural Information Processing Systems, 2022 Normalizing flows model probability distributions by learning invertible transformations that transfer a simple distribution into complex distributions. Since the architecture of ResNet-based normalizing flows is more flexible than that of coupling-based
Byeongkeun Ahn +3 more
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Learning Maximally Monotone Operators for Image Recovery [PDF]
SIAM Journal of Imaging Sciences, 2020 We introduce a new paradigm for solving regularized variational problems. These are typically formulated to address ill-posed inverse problems encountered in signal and image processing.
Jean-Christophe Pesquet +3 more
semanticscholar +1 more source
Logical metatheorems for accretive and (generalized) monotone set-valued operators [PDF]
Journal of Mathematical Logic, 2022 Accretive and monotone operator theory are central branches of nonlinear functional analysis and constitute the abstract study of set-valued mappings between function spaces.
Nicholas Pischke
semanticscholar +1 more source