Cover Image

The Magnitude of Dominated Sets: A Pareto Compliant Indicator Grounded in Metric Geometry

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Emmerich, Michael T. M.
Format:	Preprint
Published:	2026
Subjects:	Optimization and Control Computational Geometry Neural and Evolutionary Computing 90C29, 90C30, 90C31
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Nonsmooth Set-Gradient Ascent to the Pareto Front via Layered Hypervolume and Magnitude Indicators
by: Emmerich, Michael T. M.
Published: (2026)

Preference-Shaped Expected Hypervolume and R2 Improvement: Exact Computation and Monotonicity
by: Emmerich, Michael T. M.
Published: (2026)

Exact Uniform L1 Spacing for Solow-Polasky Diversity on Lines and Ordered Pareto Fronts
by: Emmerich, Michael T. M., et al.
Published: (2026)

Memetic Differential Evolution Methods for Semi-Supervised Clustering
by: Mansueto, Pierluigi, et al.
Published: (2024)

A Set-Valued Lagrange Theorem based on a Process for Convex Vector Programming
by: García-Castaño, Fernando, et al.
Published: (2024)

Applying a Random-Key Optimizer on Mixed Integer Programs
by: Chaves, Antonio A., et al.
Published: (2026)

Lagrange Multipliers, Duality, and Sensitivity in Set-Valued Convex Programming via Pointed Closed Convex Processes
by: García-Castaño, Fernando, et al.
Published: (2024)

Nature-Inspired Algorithms in Optimization: Introduction, Hybridization and Insights
by: Yang, Xin-She
Published: (2023)

Generalized Reduced Jacobian Method
by: Maghri, M. El, et al.
Published: (2025)

Decomposition of Difficulties in Complex Optimization Problems Using a Bilevel Approach
by: Sinha, Ankur, et al.
Published: (2024)

A Subspace Minimization Barzilai-Borwein Method for Multiobjective Optimization Problems
by: Chen, Jian, et al.
Published: (2024)

A Nonmonotone Front Descent Method for Bound-Constrained Multi-Objective Optimization
by: Mansueto, Pierluigi
Published: (2025)

First-order Methods for Unconstrained Vector Optimization Problems: A Unified Majorization-Minimization Perspective
by: Chen, Jian, et al.
Published: (2024)

Effective Front-Descent Algorithms with Convergence Guarantees
by: Lapucci, Matteo, et al.
Published: (2024)

Worst-case complexity analysis of derivative-free methods for multi-objective optimization
by: Liuzzi, Giampaolo, et al.
Published: (2025)

Scaled Proximal Gradient Methods for Multiobjective Optimization: Improved Linear Convergence and Nesterov's Acceleration
by: Chen, Jian, et al.
Published: (2024)

Resolving the Exploration-Exploitation Dilemma in Evolutionary Algorithms: A Novel Human-Centered Framework
by: Shams, Ehsan
Published: (2025)

On the existence and the stability of solutions in nonconvex vector optimization
by: Van Nghi, Tran, et al.
Published: (2025)

Symmetric and Non-Symmetric Cone Separation via Bishop-Phelps Cones in Normed Spaces
by: García-Castaño, Fernando, et al.
Published: (2025)

On Computing and Pricing of Adjustable Robust Chemical Process Designs
by: Schwientek, Jan, et al.
Published: (2025)

A Bi-Objective Optimization Based Acquisition Strategy for Batch Bayesian Global Optimization
by: Carciaghi, Francesco, et al.
Published: (2024)

A sensitivity-based method for bilevel optimization problems: Theoretical analysis and computational performance
by: Nolasco, Eduardo, et al.
Published: (2025)

An accelerated primal-dual flow for linearly constrained multiobjective optimization
by: Luo, Hao, et al.
Published: (2025)

Optimistic Bilevel Optimization with Composite Lower-Level Problem
by: Solla, Mattia, et al.
Published: (2026)

Convergence rate of the (1+1)-evolution strategy on locally strongly convex functions with lipschitz continuous gradient
by: Morinaga, Daiki, et al.
Published: (2022)

Warm-starting outer approximation for parametrized convex MINLP
by: Tamm, Erik, et al.
Published: (2025)

A study of column generation embedded in scalarization methods for the bi-objective cutting stock problem
by: Borges, Jennifer C., et al.
Published: (2026)

Bi-Objective Optimization over the Efficient Set of Multi-Objective Integer Quadratic Problem
by: Bencheikh, Ali, et al.
Published: (2024)

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm
by: De Santis, Marianna, et al.
Published: (2026)

Aubin Property and Strong Regularity Are Equivalent for Nonlinear Second-Order Cone Programming
by: Chen, Liang, et al.
Published: (2024)

On approximate Pareto solutions in nonsmooth interval-valued multiobjective optimization with data uncertainty in constraints
by: Quan, Vu Hong, et al.
Published: (2025)

A solution method for arbitrary polyhedral convex set optimization problems
by: Löhne, Andreas
Published: (2023)

Robust Least Squares Problems with Binary Uncertain Data
by: Zhou, Yang, et al.
Published: (2025)

Non-subdifferentiability optimality and mean value theorems via new relative subdifferentials
by: Thinh, Vo Duc, et al.
Published: (2024)

Robust Solutions of Nonlinear Least Squares Problems via Min-max Optimization
by: Chen, Xiaojun, et al.
Published: (2024)

Stability for Nash Equilibrium Problems
by: Diao, Ruoyu, et al.
Published: (2024)

A multi-criteria decision support system to evaluate the effectiveness of training courses on citizens' employability
by: Bas, Maria C., et al.
Published: (2024)

A Benson-Type Algorithm for Bounded Convex Vector Optimization Problems with Vertex Selection
by: Dörfler, Daniel, et al.
Published: (2020)

Projected Gradient Methods with Momentum
by: Lapucci, Matteo, et al.
Published: (2026)

Stochastic block coordinate and function alternation for multi-objective optimization and learning
by: Tran, Trang H., et al.
Published: (2026)