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The paper considers the problem of multi-objective decision support when outcomes are uncertain. We extend the concept of Pareto-efficient decisions to take into account the uncertainty of decision outcomes across varying contexts. This…

Machine Learning · Statistics 2021-10-20 Sofia Ek , Dave Zachariah , Petre Stoica

Decisions are often based on imprecise, uncertain or vague information. Likewise, the consequences of an action are often equally unpredictable, thus putting the decision maker into a twofold jeopardy. Assuming that the effects of an action…

General Economics · Economics 2022-05-03 Stefan Rass , Sandra König , Stefan Schauer

We propose a new approach for solving a class of discrete decision making problems under uncertainty with positive cost. This issue concerns multiple and diverse fields such as engineering, economics, artificial intelligence, cognitive…

Artificial Intelligence · Computer Science 2014-01-03 Steve N'Guyen , Clément Moulin-Frier , Jacques Droulez

Incomplete pairwise comparison matrices offer a natural way of expressing preferences in decision making processes. Although ordinal information is crucial, there is a bias in the literature: cardinal models dominate. Ordinal models usually…

Optimization and Control · Mathematics 2020-12-15 Luca Faramondi , Gabriele Oliva , Sándor Bozóki

This paper investigates the problem of finding a preference relation on a set of acts from the knowledge of an ordering on events (subsets of states of the world) describing the decision-maker (DM)s uncertainty and an ordering of…

Artificial Intelligence · Computer Science 2013-02-08 Didier Dubois , Helene Fargier , Henri Prade

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

Solutions to multi-objective optimization problems can generally not be compared or ordered, due to the lack of orderability of the single objectives. Furthermore, decision-makers are often made to believe that scaled objectives can be…

Optimization and Control · Mathematics 2022-05-31 Sebastian Hönel , Welf Löwe

In this paper we introduce and experimentally compare alternative algorithms to join uncertain relations. Different algorithms are based on specific principles, e.g., sorting, indexing, or building intermediate relational tables to apply…

Databases · Computer Science 2012-11-02 Matteo Magnani , Danilo Montesi

One of the most ubiquitous problems in optimization is that of finding all the elements of a finite set at which a function $f$ attains its minimum (or maximum). When the codomain of $f$ is equipped with a total order, it is easy to…

Optimization and Control · Mathematics 2026-03-17 Patrik Jansson , Nicola Botta , Tim Richter

Decision making under uncertainty is a key component of many AI settings, and in particular of voting scenarios where strategic agents are trying to reach a joint decision. The common approach to handle uncertainty is by maximizing expected…

Computer Science and Game Theory · Computer Science 2018-11-15 Omer Lev , Reshef Meir , Svetlana Obraztsova , Maria Polukarov

This paper explores generalised probabilistic modelling and uncertainty estimation in comparative LLM-as-a-judge frameworks. We show that existing Product-of-Experts methods are specific cases of a broader framework, enabling diverse…

Artificial Intelligence · Computer Science 2025-05-22 Yassir Fathullah , Mark J. F. Gales

We consider the optimization of an uncertain objective over continuous and multi-dimensional decision spaces in problems in which we are only provided with observational data. We propose a novel algorithmic framework that is tractable,…

Machine Learning · Statistics 2018-10-30 Dimitris Bertsimas , Christopher McCord

As machine learning models are increasingly employed to assist human decision-makers, it becomes critical to communicate the uncertainty associated with these model predictions. However, the majority of work on uncertainty has focused on…

Computer Vision and Pattern Recognition · Computer Science 2021-07-29 Daniel D'souza , Zach Nussbaum , Chirag Agarwal , Sara Hooker

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

The assignment problem is one of the most well-studied settings in social choice, matching, and discrete allocation. We consider the problem with the additional feature that agents' preferences involve uncertainty. The setting with…

Computer Science and Game Theory · Computer Science 2016-10-11 Haris Aziz , Ronald de Haan , Baharak Rastegari

We explore the connection between an agent's decision problem and her ranking of information structures. We find that a finite amount of ordinal data on the agent's ranking of experiments is enough to identify her (finite) set of…

Theoretical Economics · Economics 2024-04-02 Mark Whitmeyer

Learning-augmented algorithms have been attracting increasing interest, but have only recently been considered in the setting of explorable uncertainty where precise values of uncertain input elements can be obtained by a query and the goal…

Data Structures and Algorithms · Computer Science 2023-05-17 Thomas Erlebach , Murilo Santos de Lima , Nicole Megow , Jens Schlöter

In this work, we propose a novel method to tackle the problem of multiobjective optimization under parameteric uncertainties, by considering the Conditional Pareto Sets and Conditional Pareto Fronts. Based on those quantities we can define…

Optimization and Control · Mathematics 2026-01-15 Victor Trappler , Céline Helbert , Rodolphe Le Riche

The efficacy of robust optimization spans a variety of settings with uncertainties bounded in predetermined sets. In many applications, uncertainties are affected by decisions and cannot be modeled with current frameworks. This paper takes…

Optimization and Control · Mathematics 2018-03-29 Omid Nohadani , Kartikey Sharma

We consider bi-objective ranking and selection problems, where the goal is to correctly identify the Pareto optimal solutions among a finite set of candidates for which the two objective outcomes have been observed with uncertainty (e.g.,…

Machine Learning · Statistics 2024-03-29 Sebastian Rojas Gonzalez , Juergen Branke , Inneke van Nieuwenhuyse
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