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In recent years, there has been an increased need for the use of active systems - systems required to act automatically based on events, or changes in the environment. Such systems span many areas, from active databases to applications that…

Artificial Intelligence · Computer Science 2012-07-09 Segev Wasserkrug , Avigdor Gal , Opher Etzion

A noncooperative differential (dynamic) game model of opinion dynamics is proposed. In this game, the agents' motives are shaped by their expectations of the nature of others' opinions as well as how susceptible they are to get influenced…

Optimization and Control · Mathematics 2020-02-25 Muhammad Umar B. Niazi , Arif Bülent Özgüler

Probabilistic classifiers output a probability distribution on target classes rather than just a class prediction. Besides providing a clear separation of prediction and decision making, the main advantage of probabilistic models is their…

Machine Learning · Computer Science 2019-02-20 Juozas Vaicenavicius , David Widmann , Carl Andersson , Fredrik Lindsten , Jacob Roll , Thomas B. Schön

There is increasing evidence that human activity in general, and narrative in particular, can be treated as a dynamical system in the physics sense; a system whose evolution is described by an action integral, such that the average of all…

We describe the interface between measure theoretic probability and causal inference by constructing causal models on probability spaces within the potential outcomes framework. We find that measure theory provides a precise and instructive…

Statistics Theory · Mathematics 2019-07-04 Irineo Cabreros , John D. Storey

Unlike many complex networks studied in the literature, social networks rarely exhibit unanimous behavior, or consensus. This requires a development of mathematical models that are sufficiently simple to be examined and capture, at the same…

Systems and Control · Computer Science 2017-10-16 Sergey E. Parsegov , Anton V. Proskurnikov , Roberto Tempo , Noah E. Friedkin

We investigate how individuals form expectations about population behavior using statistical inference based on observations of their social relations. Misperceptions about others' connectedness and behavior arise from sampling bias…

Theoretical Economics · Economics 2022-05-27 Andreas Bjerre-Nielsen , Martin Benedikt Busch

Interaction with others influences our opinions and behaviours. Our activities within various social circles lead to different opinions expressed in various situations, groups, and ways of communication. Earlier studies on agent-based…

Social and Information Networks · Computer Science 2024-03-08 Stanisław Stępień , Jarosław Jankowski , Piotr Bródka , Radosław Michalski

In this paper, we introduce a new framework for modelling the exchange of multiple arguments across agents in a social network. To date, most modelling work concerned with opinion dynamics, testimony, or communication across social networks…

Social and Information Networks · Computer Science 2025-04-15 Leon Assaad , Rafael Fuchs , Ammar Jalalimanesh , Kirsty Phillips , Klee Schöppl , Ulrike Hahn

Consider public health officials aiming to spread awareness about a new vaccine in a community interconnected by a social network. How can they distribute information with minimal resources, so as to avoid polarization and ensure…

Computer Science and Game Theory · Computer Science 2024-12-23 Haolin Liu , Rajmohan Rajaraman , Ravi Sundaram , Anil Vullikanti , Omer Wasim , Haifeng Xu

A modelling framework, based on the theory of signal processing, for characterising the dynamics of systems driven by the unravelling of information is outlined, and is applied to describe the process of decision making. The model input of…

Theoretical Economics · Economics 2022-04-14 Dorje C. Brody

We propose an information-theoretic framework to measure narratives, providing a formalism to understand pivotal moments, cliffhangers, and plot twists. This approach offers creatives and AI researchers tools to analyse and benchmark human-…

Multimedia · Computer Science 2024-11-21 Lion Schulz , Miguel Patrício , Daan Odijk

Many models have been proposed to explain opinion formation in groups of individuals; most of these models study opinion propagation as the interaction between nodes/agents in a social network. Opinion formation is a complex process and a…

Physics and Society · Physics 2008-07-15 Floriana Gargiulo , Alberto Mazzoni

Bayesian modeling provides a principled approach to quantifying uncertainty in model parameters and model structure and has seen a surge of applications in recent years. Within the context of a Bayesian workflow, we are concerned with model…

Methodology · Statistics 2025-01-24 Maximilian Scholz , Paul-Christian Bürkner

To propose a mathematical model of consciousness and will, we first simulated the inverted qualia with a toy model of a neural network. As a result, we confirmed that there can be an inverted qualia on the neural network. In other words,…

Neurons and Cognition · Quantitative Biology 2022-10-27 Hana Hebishima , Mina Arakaki , Chikako Dozono , Hanna Frolova , Shinichi Inage

Statistical modeling is a powerful tool for developing and testing theories by way of causal explanation, prediction, and description. In many disciplines there is near-exclusive use of statistical modeling for causal explanation and the…

Methodology · Statistics 2011-01-06 Galit Shmueli

Modelling efforts in opinion dynamics have to a large extent ignored that opinion exchange between individuals can also have an effect on how willing they are to express their opinion publicly. Here, we introduce a model of public opinion…

Physics and Society · Physics 2020-10-14 Felix Gaisbauer , Eckehard Olbrich , Sven Banisch

In statistical physics any given system can be either at an equilibrium or away from it. Networks are not an exception. Most network models can be classified as either equilibrium or growing. Here we show that under certain conditions there…

Statistical Mechanics · Physics 2013-08-13 Dmitri Krioukov , Massimo Ostilli

Experimental economics has repeatedly demonstrated that the Nash equilibrium makes inaccurate predictions for a vast set of games. Instead, several alternative theoretical concepts predict behavior that is much more in tune with observed…

General Finance · Quantitative Finance 2015-03-17 Christian Hilbe

We analyse a quantum-like Bayesian Network that puts together cause/effect relationships and semantic similarities between events. These semantic similarities constitute acausal connections according to the Synchronicity principle and…

Artificial Intelligence · Computer Science 2015-08-28 Catarina Moreira , Andreas Wichert