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We propose a novel numerical approach to compute the Pareto front in multivariate polynomial multi-objective optimization problems. When the objective functions and (equality) constraints are multivariate polynomials, the Pareto front,…

Optimization and Control · Mathematics 2026-04-06 Hans van Rooij , Christof Vermeersch , Marie Deferme , Bart De Moor

Evolutionary multi-objective algorithms have successfully been used in the context of Pareto optimization where a given constraint is relaxed into an additional objective. In this paper, we explore the use of 3-objective formulations for…

Neural and Evolutionary Computing · Computer Science 2023-04-19 Frank Neumann , Carsten Witt

In the portfolio multiobjective optimization framework, we propose to compare and choose, among all feasible asset portfolios of a given market, the one that maximizes the product of the distances between its values of risk and gain and…

Optimization and Control · Mathematics 2018-01-16 Francesco Cesarone , Lorenzo Lampariello , Simone Sagratella

A multi-condition multi-objective optimization method that can find Pareto front over a defined condition space is developed for the first time using deep reinforcement learning. Unlike the conventional methods which perform optimization at…

Machine Learning · Computer Science 2022-05-25 Sejin Kim , Innyoung Kim , Donghyun You

This paper studies an entropy-based multi-objective Bayesian optimization (MBO). The entropy search is successful approach to Bayesian optimization. However, for MBO, existing entropy-based methods ignore trade-off among objectives or…

Machine Learning · Computer Science 2020-02-12 Shinya Suzuki , Shion Takeno , Tomoyuki Tamura , Kazuki Shitara , Masayuki Karasuyama

Direct Preference Optimization (DPO) and its variants have become the de facto standards for aligning large language models (LLMs) with human preferences or specific goals. However, DPO requires high-quality preference data and suffers from…

Machine Learning · Computer Science 2024-11-12 Zhuotong Chen , Fang Liu , Jennifer Zhu , Wanyu Du , Yanjun Qi

We present PESMO, a Bayesian method for identifying the Pareto set of multi-objective optimization problems, when the functions are expensive to evaluate. The central idea of PESMO is to choose evaluation points so as to maximally reduce…

Machine Learning · Statistics 2016-02-23 Daniel Hernández-Lobato , José Miguel Hernández-Lobato , Amar Shah , Ryan P. Adams

Motivated by applications where impatience is pervasive and evaluation times are uncertain, we study a selection model where options may expire at an unknown point in time and evaluation times are stochastic. Initially, the decision-maker…

Optimization and Control · Mathematics 2026-02-05 Yihua Xu , Rohan Ghuge , Sebastian Perez-Salazar

Addressing uncertainty is critical for autonomous systems to robustly adapt to the real world. We formulate the problem of model uncertainty as a continuous Bayes-Adaptive Markov Decision Process (BAMDP), where an agent maintains a…

Designing fair algorithmic decision systems requires balancing model performance with fairness toward affected individuals: More fairness might require sacrificing some performance and vice versa, yet the space of possible trade-offs is…

Machine Learning · Computer Science 2026-05-12 Mieke Wilms , Christoph Heitz

We study the novel problem of blackbox optimization of multiple objectives via multi-fidelity function evaluations that vary in the amount of resources consumed and their accuracy. The overall goal is to approximate the true Pareto set of…

Artificial Intelligence · Computer Science 2020-11-04 Syrine Belakaria , Aryan Deshwal , Janardhan Rao Doppa

As the era of large language models (LLMs) unfolds, Preference Optimization (PO) methods have become a central approach to aligning LLMs with human preferences and improving performance. We propose Maximum a Posteriori Preference…

This paper addresses the challenge of dynamic multi-objective optimization problems (DMOPs) by introducing novel approaches for accelerating prediction strategies within the evolutionary algorithm framework. Since the objectives of DMOPs…

Neural and Evolutionary Computing · Computer Science 2024-11-14 Ru Lei , Lin Li , Rustam Stolkin , Bin Feng

When solving optimization problems with multiple objective functions we are often faced with the situation that one or several objective functions are non-convex or that we can not easily show the convexity of all functions involved. In…

Optimization and Control · Mathematics 2020-04-01 Kerstin Dächert , Katrin Teichert

Real-world decision and optimization problems, often involve constraints and conflicting criteria. For example, choosing a travel method must balance speed, cost, environmental footprint, and convenience. Similarly, designing an industrial…

Optimization and Control · Mathematics 2025-04-22 Michael Emmerich , André Deutz

In this article, we present a framework for taking into account user preferences in multi-objective Bayesian optimization in the case where the objectives are expensive-to-evaluate black-box functions. A novel expected improvement criterion…

Optimization and Control · Mathematics 2018-09-17 Paul Feliot , Julien Bect , Emmanuel Vazquez

We present AutoOptimization, a novel multi-objective optimization framework for adapting user interfaces. From a user's verbal preferences for changing a UI, our framework guides a prioritization-based Pareto frontier search over candidate…

Human-Computer Interaction · Computer Science 2026-03-30 Zhipeng Li , Christoph Gebhardt , Yi-Chi Liao , Christian Holz

Data-driven evolutionary multi-objective optimization (EMO) has been recognized as an effective approach for multi-objective optimization problems with expensive objective functions. The current research is mainly developed for problems…

Neural and Evolutionary Computing · Computer Science 2022-05-31 Renzhi Chen , Ke Li

During the past two decades, multi-agent optimization problems have drawn increased attention from the research community. When multiple objective functions are present among agents, many works optimize the sum of these objective functions.…

Multiagent Systems · Computer Science 2020-10-13 M. J. Blondin , M. T. Hale

Real-world scenarios frequently involve multi-objective data-driven optimization problems, characterized by unknown problem coefficients and multiple conflicting objectives. Traditional two-stage methods independently apply a machine…

Machine Learning · Computer Science 2024-06-04 Peng Li , Lixia Wu , Chaoqun Feng , Haoyuan Hu , Lei Fu , Jieping Ye