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Solving constrained multi-objective optimization problems (CMOPs) is a challenging task. While many practical algorithms have been developed to tackle CMOPs, real-world scenarios often present cases where the constraint functions are…

神经与进化计算 · 计算机科学 2025-09-25 Weixiong Huang , Rui Wang , Tao Zhang , Sheng Qi , Ling Wang

This paper proposes a Riemannian Multiobjective Proximal Gradient Method (RMPGM) for composite optimization problems on manifolds. Unlike scalarization-based approaches, the proposed framework directly handles vector-valued objectives and…

最优化与控制 · 数学 2026-05-19 Kangming Chen

We study the problem of learning a partially observed matrix under the low rank assumption in the presence of fully observed side information that depends linearly on the true underlying matrix. This problem consists of an important…

机器学习 · 统计学 2026-02-05 Dimitris Bertsimas , Nicholas A. G. Johnson

Pareto front profiling in multi-objective optimization (MOO), i.e., finding a diverse set of Pareto optimal solutions, is challenging, especially with expensive objectives that require training a neural network. Typically, in MOO for neural…

机器学习 · 计算机科学 2025-02-06 Rhea Sanjay Sukthanker , Arber Zela , Benedikt Staffler , Samuel Dooley , Josif Grabocka , Frank Hutter

It is desirable in many multi-objective machine learning applications, such as multi-task learning with conflicting objectives and multi-objective reinforcement learning, to find a Pareto solution that can match a given preference of a…

机器学习 · 计算机科学 2024-02-19 Xiaoyuan Zhang , Xi Lin , Qingfu Zhang

Dynamic multi-objective optimization problems (DMOPs) are widely accepted to be more challenging than stationary problems due to the time-dependent nature of the objective functions and/or constraints. Evaluation of purpose-built algorithms…

神经与进化计算 · 计算机科学 2022-04-11 Daniel Herring , Michael Kirley , Xin Yao

We address the problem of joint sparsity pattern recovery based on low dimensional multiple measurement vectors (MMVs) in resource constrained distributed networks. We assume that distributed nodes observe sparse signals which share the…

信息论 · 计算机科学 2015-06-16 Thankshila Wimalajeewa , Pramod K. Varshney

In recent years, there has been growing attention to interpretable machine learning models which can give explanatory insights on their behaviour. Thanks to their interpretability, decision trees have been intensively studied for…

最优化与控制 · 数学 2023-10-10 Federico D'Onofrio , Giorgio Grani , Marta Monaci , Laura Palagi

Optimization problems have been the subject of statistical physics approximations. A specially relevant and general scenario is provided by optimization methods considering tradeoffs between cost and efficiency, where optimal solutions…

统计力学 · 物理学 2015-09-16 Luís F. Seoane , Ricard V. Solé

Software configuration tuning is essential for optimizing a given performance objective (e.g., minimizing latency). Yet, due to the software's intrinsically complex configuration landscape and expensive measurement, there has been a rather…

软件工程 · 计算机科学 2024-03-18 Pengzhou Chen , Tao Chen , Miqing Li

Trust in counterfactual explanations depends critically on whether their recommended changes are truly minimal: suboptimal explanations may vastly overshoot the actual changes needed to alter a decision, and heuristic errors can affect…

机器学习 · 计算机科学 2026-05-08 Awa Khouna , Youssouf Emine , Julien Ferry , Thibaut Vidal

To date, the multi-objective optimization literature has mainly focused on conflicting objectives, studying the Pareto front, or requiring users to balance tradeoffs. Yet, in machine learning practice, there are many scenarios where such…

机器学习 · 计算机科学 2025-03-05 Yonathan Efroni , Ben Kretzu , Daniel Jiang , Jalaj Bhandari , Zheqing , Zhu , Karen Ullrich

Inverted Generational Distance (IGD) has been widely considered as a reliable performance indicator to concurrently quantify the convergence and diversity of multi- and many-objective evolutionary algorithms. In this paper, an IGD…

神经与进化计算 · 计算机科学 2018-02-27 Yanan Sun , Gary G. Yen , Zhang Yi

The uniqueness of an optimal solution to a combinatorial optimization problem attracts many fields of researchers' attention because it has a wide range of applications, it is related to important classes in computational complexity, and an…

数据结构与算法 · 计算机科学 2023-12-19 Takashi Horiyama , Yasuaki Kobayashi , Hirotaka Ono , Kazuhisa Seto , Ryu Suzuki

Chance constrained optimization problems allow to model problems where constraints involving stochastic components should only be violated with a small probability. Evolutionary algorithms have been applied to this scenario and shown to…

神经与进化计算 · 计算机科学 2024-08-23 Frank Neumann , Carsten Witt

This document contains supplementary material for the paper "Multi-objective Reinforcement Learning with Continuous Pareto Frontier Approximation", published at the Twenty-Ninth AAAI Conference on Artificial Intelligence (AAAI-15). The…

人工智能 · 计算机科学 2014-11-20 Matteo Pirotta , Simone Parisi , Marcello Restelli

Numerous real-world applications of uncertain multiobjective optimization problems (UMOPs) can be found in science, engineering, business, and management. To handle the solution of uncertain optimization problems, robust optimization is a…

最优化与控制 · 数学 2025-03-11 Shubham Kumar , Nihar Kumar Mahatoa , Debdas Ghosh

Despite significant progress in the field of mathematical runtime analysis of multi-objective evolutionary algorithms (MOEAs), the performance of MOEAs on discrete many-objective problems is little understood. In particular, the few…

神经与进化计算 · 计算机科学 2025-06-24 Simon Wietheger , Benjamin Doerr

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…

机器学习 · 计算机科学 2022-05-25 Sejin Kim , Innyoung Kim , Donghyun You

While globally optimal solutions to many convex programs can be computed efficiently in polynomial time, this is, in general, not possible for nonconvex optimization problems. Therefore, locally optimal approaches or other efficient…

信息论 · 计算机科学 2020-07-03 Bho Matthiesen , Christoph Hellings , Eduard A. Jorswieck , Wolfgang Utschick