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In the future, competitive advantages will be given to organisations that can extract valuable information from massive data and make better decisions. In most cases, this data comes from multiple sources. Therefore, the challenge is to…

Applications · Statistics 2016-05-11 Igor Barahona , Judith Cavazos , Jian-Bo Yang

Threshold models and their dynamics may be used to model the spread of `behaviors' in social networks. Regarding such from a modal logical perspective, it is shown how standard update mechanisms may be emulated using action models -- graphs…

Computer Science and Game Theory · Computer Science 2017-08-07 Rasmus K. Rendsvig

We use point processes theory to describe the asymptotic distribution of all upper order statistics for observations collected at renewal times. As a corollary, we obtain limiting theorems for corresponding extremal processes.

Probability · Mathematics 2016-08-08 Bojan Basrak , Drago Špoljarić

Imitation is fundamental in the understanding of social system dynamics. But the diversity of imitation rules employed by modelers proves that the modeling of mimetic processes cannot avoid the traditional problem of endogenization of all…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 David Chavalarias

We demonstrate that individual behaviors directed at the attainment of distinctiveness can in fact produce complete social conformity. We thus offer an unexpected generative mechanism for this central social phenomenon. Specifically, we…

Physics and Society · Physics 2015-03-05 Paul E. Smaldino , Joshua M. Epstein

Presenting high-level arguments is a crucial task for fostering participation in online societal discussions. Current argument summarization approaches miss an important facet of this task -- capturing diversity -- which is important for…

Computation and Language · Computer Science 2024-02-15 Michiel van der Meer , Piek Vossen , Catholijn M. Jonker , Pradeep K. Murukannaiah

This paper has three parts. First, we study and characterize amenable and extremely amenable topological semigroups in terms of invariant measures using integral logic. We prove definability of some properties of a topological semigroup…

Logic · Mathematics 2016-07-12 Karim Khanaki

This paper presents new variants of the averaged alternating modified reflections (AAMR) method for the best approximation problem. Under a mild constraint qualification, we first show its weak convergence and then establish a convergence…

Optimization and Control · Mathematics 2016-09-06 Shin-ya Matsushita

Some of the most pivotal moments in intellectual history occur when a new ideology sweeps through a society, supplanting an established system of beliefs in a rapid revolution of thought. Yet in many cases the new ideology is as extreme as…

Adaptation and Self-Organizing Systems · Physics 2015-06-11 Seth A. Marvel , Hyunsuk Hong , Anna Papush , Steven H. Strogatz

With Artificial Intelligence systems increasingly applied in consequential domains, researchers have begun to ask how these systems ought to act in ethically charged situations where even humans lack consensus. In the Moral Machine project,…

Computers and Society · Computer Science 2023-05-30 Michael Feffer , Hoda Heidari , Zachary C. Lipton

Majority voting and averaging are common approaches employed to resolve annotator disagreements and derive single ground truth labels from multiple annotations. However, annotators may systematically disagree with one another, often…

Computation and Language · Computer Science 2021-10-13 Aida Mostafazadeh Davani , Mark Díaz , Vinodkumar Prabhakaran

The purpose of this paper is to study the notion of relative extreme amenability for pairs of topological groups. We give a characterization by a fixed point property on universal spaces. In addition we introduce the concepts of an…

Group Theory · Mathematics 2015-01-09 Yonatan Gutman , Lionel Nguyen Van Thé

A generalized family of Adversary Robust Consensus protocols is proposed and analyzed. These are distributed algorithms for multi-agents systems seeking to agree on a common value of a shared variable, even in the presence of faulty or…

Systems and Control · Electrical Eng. & Systems 2024-12-20 David Angeli , Sabato Manfredi

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

In economic applications, model averaging has found principal use examining the validity of various theories related to observed heterogeneity in outcomes such as growth, development, and trade.Though often easy to articulate, these…

Applications · Statistics 2019-10-16 Alex Lenkoski , Fredrik Lohne Aanes

This paper presents the foundational ideas for a new way of modeling social aggregation. Traditional approaches have been using network theory, and the theory of random networks. Under that paradigm, every social agent is represented by a…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Mirco A. Mannucci , Lisa Sparks , Daniele C. Struppa

We present deviation bounds for self-normalized averages and applications to estimation with a random number of observations. The results rely on a peeling argument in exponential martingale techniques that represents an alternative to the…

Statistics Theory · Mathematics 2016-11-17 Aurélien Garivier

Every system of any significant size is created by composition from smaller sub-systems or components. It is thus fruitful to analyze the fault-tolerance of a system as a function of its composition. In this paper, two basic types of system…

General Mathematics · Mathematics 2009-07-21 Shrisha Rao

In this article, after recalling and discussing the conventional extremality, local extremality, stationarity and approximate stationarity properties of collections of sets and the corresponding (extended) extremal principle, we focus on…

Optimization and Control · Mathematics 2018-05-15 Hoa T. Bui , Alexander Y. Kruger

Risk-driven behavior provides a feedback mechanism through which individuals both shape and are collectively affected by an epidemic. We introduce a general and flexible compartmental model to study the effect of heterogeneity in the…