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For nearly any challenging scientific problem evaluation of the likelihood is problematic if not impossible. Approximate Bayesian computation (ABC) allows us to employ the whole Bayesian formalism to problems where we can use simulations…

Computation · Statistics 2011-07-04 Chris Barnes , Sarah Filippi , Michael P. H. Stumpf , Thomas Thorne

We study the problem of eliciting the preferences of a decision-maker through a moderate number of pairwise comparison queries to make them a high quality recommendation for a specific problem. We are motivated by applications in high…

Optimization and Control · Mathematics 2021-12-09 Phebe Vayanos , Yingxiao Ye , Duncan McElfresh , John Dickerson , Eric Rice

The effort to understand network systems in increasing detail has resulted in a diversity of methods designed to extract their large-scale structure from data. Unfortunately, many of these methods yield diverging descriptions of the same…

Data Analysis, Statistics and Probability · Physics 2015-03-27 Tiago P. Peixoto

In most social choice settings, the participating agents express their preferences over the different alternatives in the form of linear orderings. While this clearly simplifies preference elicitation, it inevitably leads to poor…

Computer Science and Game Theory · Computer Science 2022-10-05 Georgios Amanatidis , Georgios Birmpas , Aris Filos-Ratsikas , Alexandros A. Voudouris

We examine an approval-based model of Liquid Democracy with a budget constraint on voting and delegating costs, aiming to centrally select casting voters ensuring complete representation of the electorate. From a computational complexity…

Computer Science and Game Theory · Computer Science 2025-02-05 Shiri Alouf-Heffetz , Łukasz Janeczko , Grzegorz Lisowski , Georgios Papasotiropoulos

An algorithm is proposed, analyzed, and tested for solving continuous nonlinear-equality-constrained optimization problems where the objective and constraint functions are defined by expectations or averages over large, finite numbers of…

Optimization and Control · Mathematics 2026-05-14 Frank E. Curtis , Lingjun Guo , Daniel P. Robinson

The note studies the problem of selecting a good enough subset out of a finite number of alternatives under a fixed simulation budget. Our work aims to maximize the posterior probability of correctly selecting a good subset. We formulate…

Optimization and Control · Mathematics 2023-05-09 Gongbo Zhang , Bin Chen , Qing-shan Jia , Yijie Peng

Assume $k$ candidates need to be selected. The candidates appear over time. Each time one appears, it must be immediately selected or rejected -- a decision that is made by a group of individuals through voting. Assume the voters use…

Computer Science and Game Theory · Computer Science 2022-05-09 Virginie Do , Matthieu Hervouin , Jérôme Lang , Piotr Skowron

Effective caching is crucial for the performance of modern-day computing systems. A key optimization problem arising in caching -- which item to evict to make room for a new item -- cannot be optimally solved without knowing the future.…

Machine Learning · Computer Science 2021-06-29 Jakub Chłędowski , Adam Polak , Bartosz Szabucki , Konrad Zolna

An optimal delivery of arguments is key to persuasion in any debate, both for humans and for AI systems. This requires the use of clear and fluent claims relevant to the given debate. Prior work has studied the automatic assessment of…

Computation and Language · Computer Science 2023-09-08 Gabriella Skitalinskaya , Maximilian Spliethöver , Henning Wachsmuth

We examine vote delegation when preferences of agents are private information. One group of agents (delegators) does not want to participate in voting and abstains under conventional voting or can delegate its votes to the other group…

Computer Science and Game Theory · Computer Science 2021-10-26 Hans Gersbach , Akaki Mamageishvili , Manvir Schneider

Understanding citizens' values in participatory systems is crucial for citizen-centric policy-making. We envision a hybrid participatory system where participants make choices and provide motivations for those choices, and AI agents…

Artificial Intelligence · Computer Science 2025-02-12 Enrico Liscio , Luciano C. Siebert , Catholijn M. Jonker , Pradeep K. Murukannaiah

A model among many may only be best under certain states of the world. Switching from a model to another can also be costly. Finding a procedure to dynamically choose a model in these circumstances requires to solve a complex estimation…

Machine Learning · Computer Science 2023-10-10 Francesco Cordoni , Alessio Sancetta

Organisms and ecological groups accumulate evidence to make decisions. Classic experiments and theoretical studies have explored this process when the correct choice is fixed during each trial. However, we live in a constantly changing…

Neurons and Cognition · Quantitative Biology 2015-10-01 Alan Veliz-Cuba , Zachary P. Kilpatrick , Kresimir Josic

In this paper, we study voting rules on the interval domain, where the alternatives are arranged according to an externally given strict total order and voters report intervals of this order to indicate the alternatives they support. For…

Theoretical Economics · Economics 2025-09-08 Patrick Lederer

Collective decision making is often a customary action taken in government crowdsourcing. Through ensemble of opinions (popularly known as judgment analysis), governments can satisfy majority of the people who provided opinions. This has…

Human-Computer Interaction · Computer Science 2024-10-04 Akanksha Das , Jyoti Patel , Malay Bhattacharyya

This paper addresses mechanisms for boundedly rational decision makers in discrete choice problem. First, we introduce two mathematical models of population dynamics with conformity biases. We next analyze the models in terms of…

Systems and Control · Electrical Eng. & Systems 2021-11-23 Shunya Yamashita , Kodai Irifune , Takeshi Hatanaka , Yasuaki Wasa , Kenji Hirata , Kenko Uchida

Optimization is offered as an objective approach to resolving complex, real-world decisions involving uncertainty and conflicting interests. It drives business strategies as well as public policies and, increasingly, lies at the heart of…

Artificial Intelligence · Computer Science 2023-08-01 Benjamin Laufer , Thomas Krendl Gilbert , Helen Nissenbaum

We propose a new variant of the k-median problem, where the objective function models not only the cost of assigning data points to cluster representatives, but also a penalty term for disagreement among the representatives. We motivate…

Data Structures and Algorithms · Computer Science 2021-07-29 Bruno Ordozgoiti , Aristides Gionis

Allocation strategies improve the efficiency of crowdsourcing by decreasing the work needed to complete individual tasks accurately. However, these algorithms introduce bias by preferentially allocating workers onto easy tasks, leading to…

Machine Learning · Computer Science 2022-04-28 Abigail Hotaling , James Bagrow