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A micro-level agent-based model of innovation diffusion was developed that explicitly combines (a) an individual's perception of the advantages or relative utility derived from adoption, and (b) social influence from members of the…

Social and Information Networks · Computer Science 2015-06-12 Carlos E. Laciana , Santiago L. Rovere , Guillermo P. Podestá

We present a user of model interaction based on the physics of kinetic exchange, and extend it to individuals placed in a grid with local interaction. We show with numerical analysis and partial analytical results that the critical symmetry…

Social and Information Networks · Computer Science 2017-06-15 Simone Santini

We study a model of user decision-making in the context of recommender systems via numerical simulation. Our model provides an explanation for the findings of Nguyen, et. al (2014), where, in environments where recommender systems are…

Computers and Society · Computer Science 2020-07-27 Guy Aridor , Duarte Goncalves , Shan Sikdar

In this work, the aim is to study the diffusion of innovation of two competing products. The main focus has been to understand the effects of the competitive dynamic market on the diffusion of innovation. The global smartphone operating…

Physics and Society · Physics 2021-03-16 Semra Gunduc

Usually, opinion formation models assume that individuals have an opinion about a given topic which can change due to interactions with others. However, individuals can have different opinions in different topics and therefore n-dimensional…

Physics and Society · Physics 2021-09-22 Lucia Pedraza , Juan Pablo Pinasco , Nicolas Saintier , Pablo Balenzuela

We focus on online second price auctions, where bids are made sequentially, and the winning bidder pays the maximum of the second-highest bid and a seller specified starting price. For many such auctions, the seller does not see all the…

Methodology · Statistics 2026-02-23 Sourav Mukherjee , Ziqian Yang , Rohit K Patra , Kshitij Khare

Percolation is a concept widely used in many fields of research and refers to the propagation of substances through porous media (e.g., coffee filtering), or the behaviour of complex networks (e.g., spreading of diseases). Percolation…

Soft Condensed Matter · Physics 2015-12-02 Wolf B. Dapp , Martin H. Müser

Modifications of the Cont-Bouchaud percolation model for price fluctuations give an asymmetry for time-reversal, an asymmetry between high and low prices, volatility clustering, effective multifractality, correlations between volatility and…

Statistical Mechanics · Physics 2007-05-23 I. Chang , D. Stauffer , R. B. Pandey

We present an analysis of a person-to-person recommendation network, consisting of 4 million people who made 16 million recommendations on half a million products. We observe the propagation of recommendations and the cascade sizes, which…

Physics and Society · Physics 2007-05-23 Jure Leskovec , Lada A. Adamic , Bernardo A. Huberman

In this study, we develop a saturation-dependent treatment of dispersion in porous media using concepts from critical path analysis, cluster statistics of percolation, and fractal scaling of percolation clusters. We calculate spatial solute…

Fluid Dynamics · Physics 2015-06-11 B. Ghanbarian-Alavijeh , Thomas E. Skinner , Allen G. Hunt

Estimating treatment effects from observational data is of central interest across numerous application domains. Individual treatment effect offers the most granular measure of treatment effect on an individual level, and is the most useful…

Machine Learning · Statistics 2024-08-06 Hengrui Cai , Huaqing Jin , Lexin Li

We study a stochastic model for the diffusion of competing opinions in a population composed of three types of agents: trend-followers, opposers, and indifferent individuals. The decision dynamics are driven by reinforcement mechanisms,…

Probability · Mathematics 2025-06-24 Manuel González-Navarrete

Mass media shift the percolative phase transition observed in the marketing model of Solomon and Weisbuch.

Statistical Mechanics · Physics 2015-06-24 Ana Proykova , Dietrich Stauffer

Recommender systems learn from historical users' feedback that is often non-uniformly distributed across items. As a consequence, these systems may end up suggesting popular items more than niche items progressively, even when the latter…

Information Retrieval · Computer Science 2020-10-06 Ludovico Boratto , Gianni Fenu , Mirko Marras

This paper proposes a method for estimating consumer preferences among discrete choices, where the consumer chooses at most one product in a category, but selects from multiple categories in parallel. The consumer's utility is additive in…

Machine Learning · Computer Science 2023-08-08 Rob Donnelly , Francisco R. Ruiz , David Blei , Susan Athey

We introduce a new diffusion process Xt to describe asset prices within an economic bubble cycle. The main feature of the process, which differs from existing models, is the drift term where a mean-reversion is taken based on an exponential…

Mathematical Finance · Quantitative Finance 2018-03-23 Angelos Dassios , Luting Li

Viral marketing takes advantage of preexisting social networks among customers to achieve large changes in behaviour. Models of influence spread have been studied in a number of domains, including the effect of "word of mouth" in the…

Computer Science and Game Theory · Computer Science 2008-09-08 Hamed Amini , Moez Draief , Marc Lelarge

Recommender systems shape individual choices through feedback loops in which user behavior and algorithmic recommendations coevolve over time. The systemic effects of these loops remain poorly understood, in part due to unrealistic…

Information Retrieval · Computer Science 2026-02-19 Gabriele Barlacchi , Margherita Lalli , Emanuele Ferragina , Fosca Giannotti , Dino Pedreschi , Luca Pappalardo

In a multi-channel marketing world, the purchase decision journey encounters many interactions (e.g., email, mobile notifications, display advertising, social media, and so on). These impressions have direct (main effects), as well as…

Applications · Statistics 2022-06-01 Ritwik Sinha , David Arbour , Aahlad Manas Puli

Score-based diffusion models are a class of generative models whose dynamics is described by stochastic differential equations that map noise into data. While recent works have started to lay down a theoretical foundation for these models,…