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Consider discrete-time linear distributed averaging dynamics, whereby agents in a network start with uncorrelated and unbiased noisy measurements of a common underlying parameter (state of the world) and iteratively update their estimates…

最优化与控制 · 数学 2023-03-21 Giacomo Como , Fabio Fagnani , Anton V. Proskurnikov

Real-world recommendation systems often consist of two phases. In the first phase, multiple predictive models produce the probability of different immediate user actions. In the second phase, these predictions are aggregated according to a…

Researchers have started using LLM agents in place of human subjects in behavioural and political-science experiments, often as a cheaper substitute for laboratory pools. The substitution does not hold up in strategic settings: humans and…

综合经济学 · 经济学 2026-05-27 Po Han Teo

Conventional game theory assumes that players are perfectly rational. In a realistic situation, however, players are rarely perfectly rational. This bounded rationality is one of the main reasons why the predictions of Nash equilibrium in…

物理与社会 · 物理学 2026-01-01 Mojtaba Madadi Asl , Mehdi Sadeghi

We consider a game played between a hider, who hides a static object in one of several possible positions in a bounded planar region, and a searcher, who wishes to reach the object by querying sensors placed in the plane. The searcher is a…

计算机科学与博弈论 · 计算机科学 2015-03-19 Alessandro Borri , Shaunak D. Bopardikar , Joao P. Hespanha , Maria D. Di Benedetto

Autonomous exploration in mobile robotics often involves a trade-off between two objectives: maximizing environmental coverage and minimizing the total path length. In the widely used information gain paradigm, exploration is guided by the…

机器人学 · 计算机科学 2025-04-22 Ludvig Ericson , José Pedro , Patric Jensfelt

Decision-making problems often feature uncertainty stemming from heterogeneous and context-dependent human preferences. To address this, we propose a sequential learning-and-optimization pipeline to learn preference distributions and…

机器学习 · 计算机科学 2026-03-19 Benjamin Hudson , Laurent Charlin , Emma Frejinger

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…

最优化与控制 · 数学 2026-01-15 Victor Trappler , Céline Helbert , Rodolphe Le Riche

Consider an agent exploring an unknown graph in search of some goal state. As it walks around the graph, it learns the nodes and their neighbors. The agent only knows where the goal state is when it reaches it. How do we reach this goal…

数据结构与算法 · 计算机科学 2023-01-02 Siddhartha Banerjee , Vincent Cohen-Addad , Anupam Gupta , Zhouzi Li

This work presents a new Distributionally Robust Optimization approach, using $p$-Wasserstein metrics, to analyze a stochastic program in a general context. The ambiguity set in this approach depends on the decision variable and is…

最优化与控制 · 数学 2023-03-08 Diego Fonseca , Mauricio Junca

We consider a multi-objective optimization problem with objective functions that are expensive to evaluate. The decision maker (DM) has unknown preferences, and so the standard approach is to generate an approximation of the Pareto front…

机器学习 · 计算机科学 2021-05-28 Juan Ungredda , Mariapia Marchi , Teresa Montrone , Juergen Branke

Poker is ideal for testing automated reasoning under uncertainty. It introduces uncertainty both by physical randomization and by incomplete information about opponents hands.Another source OF uncertainty IS the limited information…

人工智能 · 计算机科学 2013-01-30 Kevin B. Korb , Ann Nicholson , Nathalie Jitnah

1. Complex systems of moving and interacting objects are ubiquitous in the natural and social sciences. Predicting their behavior often requires models that mimic these systems with sufficient accuracy, while accounting for their inherent…

定量方法 · 定量生物学 2014-12-02 Jonathan R. Potts , Marie Auger-Méthé , Karl Mokross , Mark A. Lewis

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.,…

机器学习 · 统计学 2024-03-29 Sebastian Rojas Gonzalez , Juergen Branke , Inneke van Nieuwenhuyse

Wasserstein distributionally robust optimization (WDRO) optimizes against worst-case distributional shifts within a specified uncertainty set, leading to enhanced generalization on unseen adversarial examples, compared to standard…

机器学习 · 计算机科学 2025-03-07 Shuang Liu , Yihan Wang , Yifan Zhu , Yibo Miao , Xiao-Shan Gao

The goal of scenario reduction is to approximate a given discrete distribution with another discrete distribution that has fewer atoms. We distinguish continuous scenario reduction, where the new atoms may be chosen freely, and discrete…

最优化与控制 · 数学 2017-01-17 Napat Rujeerapaiboon , Kilian Schindler , Daniel Kuhn , Wolfram Wiesemann

Graph games are fundamental in strategic reasoning of multi-agent systems and their environments. We study a new family of graph games which combine stochastic environmental uncertainties and auction-based interactions among the agents,…

计算机科学与博弈论 · 计算机科学 2024-12-30 Guy Avni , Martin Kurečka , Kaushik Mallik , Petr Novotný , Suman Sadhukhan

In the context of Noisy Multi-Objective Optimization, dealing with uncertainties requires the decision maker to define some preferences about how to handle them, through some statistics (e.g., mean, median) to be used to evaluate the…

人工智能 · 计算机科学 2014-06-20 Gaétan Marceau , Marc Schoenauer

We introduce a new paradigm for game theory -- Bayesian satisfaction. This novel approach is a synthesis of the idea of Bayesian rationality introduced by Aumann, and satisfaction games. The concept of Bayesian rationality for which, in…

计算机科学与博弈论 · 计算机科学 2023-07-26 Langford White , Oskar Rynkiewicz , Duong Nguyen , Hung Nguyen

Computer vision systems that are deployed in safety-critical applications need to quantify their output uncertainty. We study regression from images to parameter values and here it is common to detect uncertainty by predicting probability…

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