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Multi-objective multi-armed bandit (MO-MAB) problems traditionally aim to achieve Pareto optimality. However, real-world scenarios often involve users with varying preferences across objectives, resulting in a Pareto-optimal arm that may…

Machine Learning · Computer Science 2025-11-18 Linfeng Cao , Ming Shi , Ness B. Shroff

Many practical optimization problems involve uncertain parameters that are strictly positive. However, the most common uncertainty sets used in robust optimization are the box and the ellipsoidal sets, which may include non-positive values…

Optimization and Control · Mathematics 2026-04-29 Tatsuya Tanaka , Huimin Li , Shota Yamanaka , Ellen H. Fukuda , Nobuo Yamashita

According to the published papers and books since the turn of the century, Pareto optimization is the dominating assessment method for multi-objective nonlinear optimization problems treated by population-based optimizers like Evolutionary…

Neural and Evolutionary Computing · Computer Science 2022-03-08 Wilfried Jakob , Christian Blume

When solving large-scale multiobjective optimization problems, solvers can get stuck with the memory or time limit. In such cases, one is left with no information how far is the best feasible solution, found before the optimization process…

Optimization and Control · Mathematics 2017-11-13 Ignacy Kaliszewski

Creating meaningful interpretations for black-box machine learning models involves balancing two often conflicting objectives: accuracy and explainability. Exploring the trade-off between these objectives is essential for developing…

Machine Learning · Computer Science 2025-08-22 Aniruddha Joshi , Supratik Chakraborty , S Akshay , Shetal Shah , Hazem Torfah , Sanjit Seshia

In recent years, explainability in machine learning has gained importance. In this context, counterfactual explanation (CE), which is an explanation method that uses examples, has attracted attention. However, it has been pointed out that…

Machine Learning · Computer Science 2025-02-04 Keita Kinjo

In robust optimization one seeks to make a decision under uncertainty, where the goal is to find the solution with the best worst-case performance. The set of possible realizations of the uncertain data is described by a so-called…

Optimization and Control · Mathematics 2022-01-25 Immanuel Bomze , Markus Gabl

Offline multi-objective optimization aims to identify Pareto-optimal solutions given a dataset of designs and their objective values. In this work, we propose a preference-guided diffusion model that generates Pareto-optimal designs by…

Machine Learning · Computer Science 2025-12-19 Yashas Annadani , Syrine Belakaria , Stefano Ermon , Stefan Bauer , Barbara E Engelhardt

Multiobjective design optimization problems require multiobjective optimization techniques to solve, and it is often very challenging to obtain high-quality Pareto fronts accurately. In this paper, the recently developed flower pollination…

Optimization and Control · Mathematics 2014-08-25 Xin-She Yang , M. Karamanoglu , X. S. He

Multi-objective optimization is key to solving many Engineering Design problems, where design parameters are optimized for several performance indicators. However, optimization results are highly dependent on how the designs are…

Machine Learning · Computer Science 2021-09-29 Wei Chen , Faez Ahmed

Technical indicators use graphic representations of data sets by applying various mathematical formulas to financial time series of prices. These formulas comprise a set of rules and parameters whose values are not necessarily known and…

Neural and Evolutionary Computing · Computer Science 2022-11-07 Francisco J. Soltero , Pablo Fernández-Blanco , J. Ignacio Hidalgo

Pareto Front Learning (PFL) was recently introduced as an efficient method for approximating the entire Pareto front, the set of all optimal solutions to a Multi-Objective Optimization (MOO) problem. In the previous work, the mapping…

Optimization and Control · Mathematics 2023-08-15 Tran Anh Tuan , Long P. Hoang , Dung D. Le , Tran Ngoc Thang

We present some first results concerning a gradient-based dynamic approach to multi-objective optimization problems, involving inertial effects. We prove the existence of global solution trajectories for this second-order differential…

Optimization and Control · Mathematics 2015-06-10 Hédy Attouch , Guillaume Garrigos

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…

Machine Learning · Computer Science 2025-02-06 Rhea Sanjay Sukthanker , Arber Zela , Benedikt Staffler , Samuel Dooley , Josif Grabocka , Frank Hutter

Inverse optimization has been increasingly used to estimate unknown parameters in an optimization model based on decision data. We show that such a point estimation is insufficient in a prescriptive setting where the estimated parameters…

Optimization and Control · Mathematics 2025-02-11 Bo Lin , Erick Delage , Timothy C. Y. Chan

We report a globally-optimal approach to robotic path planning under uncertainty, based on the theory of quantitative measures of formal languages. A significant generalization to the language-measure-theoretic path planning algorithm…

Robotics · Computer Science 2010-08-24 Ishanu Chattopadhyay , Anthony Cascone , Asok Ray

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

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

Portfolio optimization has been a major topic of research in finance, as it has a significant impact on investment profit. In this paper, we investigate the problem of data uncertainty in convex multi-objective portfolio optimization. We…

Optimization and Control · Mathematics 2018-04-11 Amin Mohazab Rahimzadeh , Alireza Saranj

We propose a model of Pareto optimization (multi-objective programming) in the context of a categorical theory of resources. We describe how to adapt multi-objective swarm intelligence algorithms to this categorical formulation.

Category Theory · Mathematics 2022-04-27 Matilde Marcolli
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