[图书][B] An introduction to optimization on smooth manifolds
N Boumal - 2023 - books.google.com
Optimization on Riemannian manifolds-the result of smooth geometry and optimization
merging into one elegant modern framework-spans many areas of science and engineering …
merging into one elegant modern framework-spans many areas of science and engineering …
[图书][B] Riemannian optimization and its applications
H Sato - 2021 - Springer
Mathematical optimization is an important branch of applied mathematics. Different classes
of optimization problems are categorized based on their problem structures. While there are …
of optimization problems are categorized based on their problem structures. While there are …
Simple algorithms for optimization on Riemannian manifolds with constraints
We consider optimization problems on manifolds with equality and inequality constraints. A
large body of work treats constrained optimization in Euclidean spaces. In this work, we …
large body of work treats constrained optimization in Euclidean spaces. In this work, we …
Optimality conditions and duality for multiobjective semi-infinite programming problems on Hadamard manifolds using generalized geodesic convexity
This paper deals with multiobjective semi-infinite programming problems on Hadamard
manifolds. We establish the sufficient optimality criteria of the considered problem under …
manifolds. We establish the sufficient optimality criteria of the considered problem under …
First-order algorithms for min-max optimization in geodesic metric spaces
From optimal transport to robust dimensionality reduction, many machine learning
applicationscan be cast into the min-max optimization problems over Riemannian manifolds …
applicationscan be cast into the min-max optimization problems over Riemannian manifolds …
Optimality conditions for multiobjective mathematical programming problems with equilibrium constraints on Hadamard manifolds
In this paper, we consider a class of multiobjective mathematical programming problems
with equilibrium constraints on Hadamard manifolds (in short,(MMPEC)). We introduce the …
with equilibrium constraints on Hadamard manifolds (in short,(MMPEC)). We introduce the …
Optimality conditions and duality for nonsmooth multiobjective semi-infinite programming problems on Hadamard manifolds
In this article, we study a class of nonsmooth multiobjective semi-infinite programming
problems defined on Hadamard manifolds [in short,(NMSIP)]. We present Abadie constraint …
problems defined on Hadamard manifolds [in short,(NMSIP)]. We present Abadie constraint …
Detection of surface defects in ceramic tiles with complex texture
H Zhang, L Peng, S Yu, W Qu - IEEE Access, 2021 - ieeexplore.ieee.org
To solve the problem of false defect detection owing to the interference of the texture
attribute of ceramic tiles, a method for detecting surface defects in complex-textured ceramic …
attribute of ceramic tiles, a method for detecting surface defects in complex-textured ceramic …
Constraint qualifications and optimality criteria for nonsmooth multiobjective programming problems on Hadamard manifolds
This article deals with a class of constrained nonsmooth multiobjective programming
problems (NMOPP) in the setting of Hadamard manifolds. The generalized Guignard …
problems (NMOPP) in the setting of Hadamard manifolds. The generalized Guignard …
Optimality conditions and duality for nonsmooth multiobjective semi-infinite programming problems with vanishing constraints on Hadamard manifolds
This article is concerned with nonsmooth multiobjective semi-infinite programming problems
with vanishing constraints in the setting of Hadamard manifolds (abbreviated …
with vanishing constraints in the setting of Hadamard manifolds (abbreviated …