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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…

Artificial Intelligence · Computer Science 2014-11-20 Matteo Pirotta , Simone Parisi , Marcello Restelli

Multi-objective optimization aims at finding trade-off solutions to conflicting objectives. These constitute the Pareto optimal set. In the context of expensive-to-evaluate functions, it is impossible and often non-informative to look for…

Machine Learning · Statistics 2020-02-20 David Gaudrie , Rodolphe Le Riche , Victor Picheny , Benoit Enaux , Vincent Herbert

Multi-Objective Markov Decision Processes (MO-MDPs) are receiving increasing attention, as real-world decision-making problems often involve conflicting objectives that cannot be addressed by a single-objective MDP. The Pareto front…

Machine Learning · Computer Science 2025-02-11 Yining Li , Peizhong Ju , Ness B. Shroff

Dynamic programming over tree decompositions is a common technique in parameterized algorithms. In this paper, we study whether this technique can also be applied to compute Pareto sets of multiobjective optimization problems. We first…

Data Structures and Algorithms · Computer Science 2025-09-09 Joshua Könen , Heiko Röglin , Tarek Stuck

Learning to Optimize (L2O) is a subfield of machine learning (ML) in which ML models are trained to solve parametric optimization problems. The general goal is to learn a fast approximator of solutions to constrained optimization problems,…

Optimization and Control · Mathematics 2025-12-04 James Kotary , Himanshu Sharma , Ethan King , Draguna Vrabie , Ferdinando Fioretto , Jan Drgona

Multi-Task Learning (MTL) is a foundational machine learning problem that has seen extensive development over the past decade. Recently, various optimization-based MTL approaches have been proposed to learn multiple tasks simultaneously by…

Machine Learning · Computer Science 2026-04-13 Zhipeng Zhou , Linxiao Cao , Pengcheng Wu , Peilin Zhao , Chunyan Miao

Multi-Task Learning (MTL) involves the concurrent training of multiple tasks, offering notable advantages for dense prediction tasks in computer vision. MTL not only reduces training and inference time as opposed to having multiple…

Computer Vision and Pattern Recognition · Computer Science 2024-12-05 Maxime Fontana , Michael Spratling , Miaojing Shi

In a multi-task learning (MTL) setting, a single model is trained to tackle a diverse set of tasks jointly. Despite rapid progress in the field, MTL remains challenging due to optimization issues such as conflicting and dominating…

Computer Vision and Pattern Recognition · Computer Science 2023-05-31 Dmitry Senushkin , Nikolay Patakin , Arseny Kuznetsov , Anton Konushin

A multi-modal multi-objective optimization problem is a special kind of multi-objective optimization problem with multiple Pareto subsets. In this paper, we propose an efficient multi-modal multi-objective optimization algorithm based on…

Neural and Evolutionary Computing · Computer Science 2020-04-22 Yiming Peng , Hisao Ishibuchi

We consider the problem of multi-objective optimization (MOO) of expensive black-box functions with the goal of discovering high-quality and diverse Pareto fronts where we are allowed to evaluate a batch of inputs. This problem arises in…

Machine Learning · Computer Science 2024-06-14 Alaleh Ahmadianshalchi , Syrine Belakaria , Janardhan Rao Doppa

The goal of multi-objective optimisation is to identify the Pareto front surface which is the set obtained by connecting the best trade-off points. Typically this surface is computed by evaluating the objectives at different points and then…

Machine Learning · Statistics 2024-06-24 Ben Tu , Nikolas Kantas , Robert M. Lee , Behrang Shafei

Multi-task learning (MTL) aims to build general-purpose vision systems by training a single network to perform multiple tasks jointly. While promising, its potential is often hindered by "unbalanced optimization", where task interference…

Computer Vision and Pattern Recognition · Computer Science 2025-09-30 Yihang Guo , Tianyuan Yu , Liang Bai , Yanming Guo , Yirun Ruan , William Li , Weishi Zheng

Many problems in robotics seek to simultaneously optimize several competing objectives under constraints. A conventional approach to solving such multi-objective optimization problems is to create a single cost function comprised of the…

Robotics · Computer Science 2022-06-02 Alexander Botros , Armin Sadeghi , Nils Wilde , Javier Alonso-Mora , Stephen L. Smith

Constrained single-objective problems have been frequently tackled by evolutionary multi-objective algorithms where the constraint is relaxed into an additional objective. Recently, it has been shown that Pareto optimization approaches…

Neural and Evolutionary Computing · Computer Science 2024-06-10 Frank Neumann , Carsten Witt

Multi-objective optimization (MOO) is a well-studied problem for several important recommendation problems. While multiple approaches have been proposed, in this work, we focus on using constrained optimization formulations (e.g., quadratic…

Applications · Statistics 2016-02-16 Kinjal Basu , Ankan Saha , Shaunak Chatterjee

Bilevel optimization problems comprise an upper level optimization task that contains a lower level optimization task as a constraint. While there is a significant and growing literature devoted to solving bilevel problems with single…

Neural and Evolutionary Computing · Computer Science 2024-09-06 Bing Wang , Hemant K. Singh , Tapabrata Ray

Transmission grid congestion increases as the electrification of various sectors requires transmitting more power. Topology control, through substation reconfiguration, can reduce congestion but its potential remains under-exploited in…

Machine Learning · Computer Science 2025-05-02 Thomas Lautenbacher , Ali Rajaei , Davide Barbieri , Jan Viebahn , Jochen L. Cremer

This work introduces MultiTRON, an approach that adapts Pareto front approximation techniques to multi-objective session-based recommender systems using a transformer neural network. Our approach optimizes trade-offs between key metrics…

Information Retrieval · Computer Science 2025-04-01 Timo Wilm , Philipp Normann , Felix Stepprath

Learning to Optimize (LtO) is a problem setting in which a machine learning (ML) model is trained to emulate a constrained optimization solver. Learning to produce optimal and feasible solutions subject to complex constraints is a difficult…

Machine Learning · Computer Science 2024-03-18 James Kotary , Ferdinando Fioretto

Determining the optimal cost function parameters of Model Predictive Control (MPC) to optimize multiple control objectives is a challenging and time-consuming task. Multiobjective Bayesian Optimization (BO) techniques solve this problem by…

Robotics · Computer Science 2024-02-06 Baha Zarrouki , Marios Spanakakis , Johannes Betz