A tutorial on multiobjective optimization: fundamentals and evolutionary methods

MTM Emmerich, AH Deutz - Natural computing, 2018 - Springer
In almost no other field of computer science, the idea of using bio-inspired search paradigms
has been so useful as in solving multiobjective optimization problems. The idea of using a …

A survey of recent trends in multiobjective optimal control—surrogate models, feedback control and objective reduction

S Peitz, M Dellnitz - Mathematical and computational applications, 2018 - mdpi.com
Multiobjective optimization plays an increasingly important role in modern applications,
where several criteria are often of equal importance. The task in multiobjective optimization …

Multi-task learning with user preferences: Gradient descent with controlled ascent in pareto optimization

D Mahapatra, V Rajan - International Conference on …, 2020 - proceedings.mlr.press
Abstract Multi-Task Learning (MTL) is a well established paradigm for jointly learning
models for multiple correlated tasks. Often the tasks conflict, requiring trade-offs between …

Using the averaged Hausdorff distance as a performance measure in evolutionary multiobjective optimization

O Schutze, X Esquivel, A Lara… - IEEE Transactions on …, 2012 - ieeexplore.ieee.org
The Hausdorff distance d H is a widely used tool to measure the distance between different
objects in several research fields. Possible reasons for this might be that it is a natural …

[BOK][B] Vector optimization

J Jahn - 2009 - Springer
The continuous and increasing interest concerning vector optimization perceptible in the
research community, where contributions dealing with the theory of duality abound lately …

[BOK][B] Adaptive scalarization methods in multiobjective optimization

G Eichfelder - 2008 - Springer
In many areas in engineering, economics and science new developments are only possible
by the application of modern optimization methods. The optimization problems arising …

On gradients and hybrid evolutionary algorithms for real-valued multiobjective optimization

PAN Bosman - IEEE Transactions on Evolutionary …, 2011 - ieeexplore.ieee.org
Algorithms that make use of the gradient, ie, the direction of maximum improvement, to
search for the optimum of a single-objective function have been around for decades. They …

Design methodology for intelligent technical systems

J Gausemeier, FJ Rammig, W Schäfer - Lecture Notes in Mechanical …, 2014 - Springer
The Collaborative Research Centre 614" Self-Optimizing Concepts and Structures in
Mechanical Engineering", funded from 2002 to 2013 by the German Research Foundation …

Pareto tracer: a predictor–corrector method for multi-objective optimization problems

A Martín, O Schütze - Engineering Optimization, 2018 - Taylor & Francis
This article proposes a novel predictor–corrector (PC) method for the numerical treatment of
multi-objective optimization problems (MOPs). The algorithm, Pareto Tracer (PT), is capable …

A Newton-type proximal gradient method for nonlinear multi-objective optimization problems

MAT Ansary - Optimization Methods and Software, 2023 - Taylor & Francis
In this paper, a globally convergent Newton-type proximal gradient method is developed for
composite multi-objective optimization problems where each objective function can be …