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Fairness is a major concern in contemporary decision problems. In these situations, the objective is to maximize fairness while preserving the efficacy of the underlying decision-making problem. This paper examines repeated decisions on…

Optimization and Control · Mathematics 2022-12-21 Andrea Lodi , Sriram Sankaranarayanan , Guanyi Wang

Collectiveness is an important property of many systems--both natural and artificial. By exploiting a large number of individuals, it is often possible to produce effects that go far beyond the capabilities of the smartest individuals, or…

Artificial Intelligence · Computer Science 2023-10-26 Roberto Casadei

We analyse and explain the increased generalisation performance of iterate averaging using a Gaussian process perturbation model between the true and batch risk surface on the high dimensional quadratic. We derive three phenomena…

Machine Learning · Statistics 2021-11-02 Diego Granziol , Xingchen Wan , Samuel Albanie , Stephen Roberts

We study a two-alternative voting game where voters' preferences depend on an unobservable world state and each voter receives a private signal correlated to the true world state. We consider the collective decision when voters can…

Computer Science and Game Theory · Computer Science 2024-10-11 Xiaotie Deng , Biaoshuai Tao , Ying Wang

The conjugate gradient method is a widely used algorithm for the numerical solution of a system of linear equations. It is particularly attractive because it allows one to take advantage of sparse matrices and produces (in case of infinite…

Numerical Analysis · Mathematics 2017-11-27 Sergey Voronin , Christophe Zaroli , Naresh P. Cuntoor

We consider the problem of learning over non-stationary ranking streams. The rankings can be interpreted as the preferences of a population and the non-stationarity means that the distribution of preferences changes over time. Our goal is…

Machine Learning · Statistics 2020-10-28 Ekhine Irurozki , Jesus Lobo , Aritz Perez , Javier Del Ser

Reputation is a valuable asset in online social lives and it has drawn increased attention. How to evaluate user reputation in online rating systems is especially significant due to the existence of spamming attacks. To address this issue,…

Information Retrieval · Computer Science 2017-01-24 Jian Gao , Tao Zhou

Autonomous robot swarms must be able to make fast and accurate collective decisions, but speed and accuracy are known to be conflicting goals. While collective decision-making is widely studied in swarm robotics research, only few works on…

Multiagent Systems · Computer Science 2023-11-07 Tanja Katharina Kaiser , Tristan Potten , Heiko Hamann

Quality assessments of models in unsupervised learning and clustering verification in particular have been a long-standing problem in the machine learning research. The lack of robust and universally applicable cluster validity scores often…

Machine Learning · Statistics 2018-03-30 Luzie Helfmann , Johannes von Lindheim , Mattes Mollenhauer , Ralf Banisch

We consider an agent community wishing to decide on several binary issues by means of issue-by-issue majority voting. For each issue and each agent, one of the two options is better than the other. However, some of the agents may be…

Computer Science and Game Theory · Computer Science 2022-07-12 Shiri Alouf-Heffetz , Laurent Bulteau , Edith Elkind , Nimrod Talmon , Nicholas Teh

We explore a model of non-Bayesian information aggregation in networks. Agents non-cooperatively choose among Friedkin-Johnsen type aggregation rules to maximize payoffs. The DeGroot rule is chosen in equilibrium if and only if there is…

General Economics · Economics 2023-11-15 Abhijit Banerjee , Olivier Compte

One goal of online social recommendation systems is to harness the wisdom of crowds in order to identify high quality content. Yet the sequential voting mechanisms that are commonly used by these systems are at odds with existing…

Social and Information Networks · Computer Science 2016-03-16 L. Elisa Celis , Peter M. Krafft , Nathan Kobe

Online social platforms increasingly rely on crowd-sourced systems to label misleading content at scale, but these systems must both aggregate users' evaluations and decide whose evaluations to trust. To address the latter, many platforms…

Social and Information Networks · Computer Science 2026-05-19 Yeganeh Alimohammadi , Karissa Huang , Christian Borgs , Jennifer Chayes

We consider the problem of determining the existence of a sequence of matrices driving a discrete-time consensus system to consensus. We transform this problem into one of the existence of a product of the transition (stochastic) matrices…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-10-05 Pierre-Yves Chevalier , Julien M. Hendrickx , Raphaël M. Jungers

The Internet has enabled the emergence of collective problem solving, also known as crowdsourcing, as a viable option for solving complex tasks. However, the openness of crowdsourcing presents a challenge because solutions obtained by it…

Computer Science and Game Theory · Computer Science 2014-01-20 Koji Oishi , Manuel Cebrian , Andres Abeliuk , Naoki Masuda

The Condorcet Jury Theorem or the Miracle of Aggregation are frequently invoked to ensure the competence of some aggregate decision-making processes. In this article we explore an estimation of the prior probability of the thesis predicted…

Theoretical Economics · Economics 2022-06-22 Álvaro Romaniega

How should one combine noisy information from diverse sources to make an inference about an objective ground truth? This frequently recurring, normative question lies at the core of statistics, machine learning, policy-making, and everyday…

Multiagent Systems · Computer Science 2020-01-29 Silviu Pitis , Michael R. Zhang

Voting is a very general method of preference aggregation. A voting rule takes as input every voter's vote (typically, a ranking of the alternatives), and produces as output either just the winning alternative or a ranking of the…

Computer Science and Game Theory · Computer Science 2012-07-09 Vincent Conitzer , Tuomas Sandholm

Processing sets or other unordered, potentially variable-sized inputs in neural networks is usually handled by aggregating a number of input tensors into a single representation. While a number of aggregation methods already exist from…

Machine Learning · Computer Science 2022-07-05 Sergey Bartunov , Fabian B. Fuchs , Timothy Lillicrap

An agglomerative clustering of random variables is proposed, where clusters of random variables sharing the maximum amount of multivariate mutual information are merged successively to form larger clusters. Compared to the previous…

Information Theory · Computer Science 2017-02-27 Chung Chan , Ali Al-Bashabsheh , Qiaoqiao Zhou