[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 …

[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 …

Simple algorithms for optimization on Riemannian manifolds with constraints

C Liu, N Boumal - Applied Mathematics & Optimization, 2020 - Springer
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 …

Optimality conditions and duality for multiobjective semi-infinite programming problems on Hadamard manifolds using generalized geodesic convexity

BB Upadhyay, A Ghosh, P Mishra… - RAIRO-Operations …, 2022 - rairo-ro.org
This paper deals with multiobjective semi-infinite programming problems on Hadamard
manifolds. We establish the sufficient optimality criteria of the considered problem under …

First-order algorithms for min-max optimization in geodesic metric spaces

M Jordan, T Lin… - Advances in Neural …, 2022 - proceedings.neurips.cc
From optimal transport to robust dimensionality reduction, many machine learning
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

S Treanţă, BB Upadhyay, A Ghosh, K Nonlaopon - Mathematics, 2022 - mdpi.com
In this paper, we consider a class of multiobjective mathematical programming problems
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

BB Upadhyay, A Ghosh, S Treanţă - Bulletin of the Iranian Mathematical …, 2023 - Springer
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 …

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 …

Constraint qualifications and optimality criteria for nonsmooth multiobjective programming problems on Hadamard manifolds

BB Upadhyay, A Ghosh, S Treanţă - Journal of Optimization Theory and …, 2024 - Springer
This article deals with a class of constrained nonsmooth multiobjective programming
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

BB Upadhyay, A Ghosh, S Treanţă - Journal of Mathematical Analysis and …, 2024 - Elsevier
This article is concerned with nonsmooth multiobjective semi-infinite programming problems
with vanishing constraints in the setting of Hadamard manifolds (abbreviated …