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In this work we formulate and formally characterize group fairness as a multi-objective optimization problem, where each sensitive group risk is a separate objective. We propose a fairness criterion where a classifier achieves minimax risk…

Machine Learning · Statistics 2020-11-04 Natalia Martinez , Martin Bertran , Guillermo Sapiro

Bayesian optimization is a popular tool for data-efficient optimization of expensive objective functions. In real-life applications like engineering design, the designer often wants to take multiple objectives as well as input uncertainty…

Artificial Intelligence · Computer Science 2022-02-28 J. Qing , I. Couckuyt , T. Dhaene

A challenging category of robotics problems arises when sensing incurs substantial costs. This paper examines settings in which a robot wishes to limit its observations of state, for instance, motivated by specific considerations of energy…

Robotics · Computer Science 2023-09-26 Patrick Zhong , Federico Rossi , Dylan A. Shell

Sequentially solving similar optimization problems under strict runtime constraints is essential for many applications, such as robot control, autonomous driving, and portfolio management. The performance of local optimization methods in…

Machine Learning · Computer Science 2025-02-04 Elad Sharony , Heng Yang , Tong Che , Marco Pavone , Shie Mannor , Peter Karkus

This article studies the problem of modifying the action ordering of a plan in order to optimise the plan according to various criteria. One of these criteria is to make a plan less constrained and the other is to minimize its parallel…

Artificial Intelligence · Computer Science 2011-05-30 C. Backstrom

As the interest in multi- and many-objective optimization algorithms grows, the performance comparison of these algorithms becomes increasingly important. A large number of performance indicators for multi-objective optimization algorithms…

Artificial Intelligence · Computer Science 2024-11-28 Amin Ibrahim , Azam Asilian Bidgoli , Shahryar Rahnamayan , Kalyanmoy Deb

The school choice problem concerns the design and implementation of matching mechanisms that produce school assignments for students within a given public school district. Previously considered criteria for evaluating proposed mechanisms…

Optimization and Control · Mathematics 2013-05-01 Sinan Aksoy , Alexander Adam Azzam , Chaya Coppersmith , Julie Glass , Gizem Karaali , Xueying Zhao , Xinjing Zhu

In the last few years, the formulation of real-world optimization problems and their efficient solution via metaheuristic algorithms has been a catalyst for a myriad of research studies. In spite of decades of historical advancements on the…

All software development processes include steps where several alternatives induce a choice, a decision-making. Sometimes, methodologies offer a way to make decisions. However, in a lot of cases, the arguments to carry out the decision are…

Software Engineering · Computer Science 2009-11-10 Elena Kornyshova , Rebecca Deneckere , Camille Salinesi

Nowadays, most online services are hosted on multi-stakeholder marketplaces, where consumers and producers may have different objectives. Conventional recommendation systems, however, mainly focus on maximizing consumers' satisfaction by…

Information Retrieval · Computer Science 2022-08-10 Haolun Wu , Chen Ma , Bhaskar Mitra , Fernando Diaz , Xue Liu

The training phase is the most important stage during the machine learning process. In the case of labeled data and supervised learning, machine training consists in minimizing the loss function subject to different constraints. In an…

Machine Learning · Computer Science 2021-12-03 Davide La Torre , Danilo Liuzzi , Marco Repetto , Matteo Rocca

This paper presents an algorithm for multiobjective optimization that blends together a number of heuristics. A population of agents combines heuristics that aim at exploring the search space both globally and in a neighborhood of each…

Computational Engineering, Finance, and Science · Computer Science 2012-06-07 Massimiliano Vasile , Federico Zuiani

Aircraft aerodynamic design optimization must account for the varying operating conditions along the cruise segment as opposed to designing at one fixed operating condition, to arrive at more realistic designs. Conventional approaches…

Optimization and Control · Mathematics 2025-12-03 Kade Carlson , Ashwin Renganathan

It is a very challenging task to identify the objectives on which a certain decision was based, in particular if several, potentially conflicting criteria are equally important and a continuous set of optimal compromise decisions exists.…

Optimization and Control · Mathematics 2021-03-05 Bennet Gebken , Sebastian Peitz

We consider decision problems of rating alternatives based on their pairwise comparisons according to two criteria. Given pairwise comparison matrices for each criterion, the problem is to find the overall scores of the alternatives. We…

Optimization and Control · Mathematics 2019-04-02 Nikolai Krivulin

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

Advancements in mathematical programming have made it possible to efficiently tackle large-scale real-world problems that were deemed intractable just a few decades ago. However, provably optimal solutions may not be accepted due to the…

Optimization and Control · Mathematics 2023-12-22 Kevin-Martin Aigner , Marc Goerigk , Michael Hartisch , Frauke Liers , Arthur Miehlich

We model the formation of multi-layer transportation networks as a multi-objective optimization process, where service providers compete for passengers, and the creation of routes is determined by a multi-objective cost function encoding a…

Physics and Society · Physics 2018-09-26 Andrea Santoro , Vito Latora , Giuseppe Nicosia , Vincenzo Nicosia

In a wide range of applications it is desirable to optimally control a dynamical system with respect to concurrent, potentially competing goals. This gives rise to a multiobjective optimal control problem where, instead of computing a…

Optimization and Control · Mathematics 2020-12-18 Sebastian Peitz , Sina Ober-Blöbaum , Michael Dellnitz

In mathematical optimization, we want to find the best possible solution for a decision-making problem. Curiously, these problems are harder to solve if they have discrete decisions. Imagine that you would like to buy chocolate: you can buy…

Optimization and Control · Mathematics 2025-12-23 Thiago Serra