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Global marketing managers are interested in understanding the speed of the new product diffusion process and how the speed has changed in our ever more technologically advanced and global marketplace. Understanding the process allows firms…

Applications · Statistics 2012-06-29 Brian M. Hartman , Bani K. Mallick , Debabrata Talukdar

A pharmacological effect of a drug on cells, organs and systems refers to the specific biochemical interaction produced by a drug substance, which is called its mechanism of action. Drug repositioning (or drug repurposing) is a fundamental…

Machine Learning · Computer Science 2020-05-19 Dehua Chen , Amir Jalilifard , Adriano Veloso , Nivio Ziviani

We model competition on a credence goods market governed by an imperfect label, signaling high quality, as a rank-order tournament between firms. In this market interaction, asymmetric firms jointly and competitively control the aggregate…

Theoretical Economics · Economics 2025-08-28 Daniel Rehsmann , Béatrice Roussillon , Paul Schweinzer

The paper is concerned with different types of dispersal chosen by competing species. We introduce a model with the diffusion-type term $\nabla \cdot \left[ a \nabla \left( u/P \right) \right]$ which includes some previously studied systems…

Dynamical Systems · Mathematics 2016-06-10 E. Braverman , Md. Kamrujjaman

This paper develops two mathematical models to understand subjects' behavior in response to the urgency of a change and inputs from governments e.g., (subsides) in the context of the diffusion of the solar photovoltaic in Italy. The first…

One of the promising frontiers of bioengineering is the controlled release of a therapeuticdrug from a vehicle across the skin (transdermal drug delivery). In order to study the complete process, a two-phase mathematical model describing…

Quantitative Methods · Quantitative Biology 2016-01-15 Giuseppe Pontrelli , Filippo de Monte

Consumer behavior under social influence is a well-known phenomenon and computer scientists and economists are prevalently trying to analyze the dynamics behind decision making during the consumption process through agent-based modeling…

Social and Information Networks · Computer Science 2022-10-18 Eren Arkangil

An important assumption lying behind innovation diffusion models and word-of-mouth processes is that of homogeneous mixing: at any time, the individuals making up the market are uniformly distributed in space. When the geographical…

Physics and Society · Physics 2009-04-29 Elena Agliari , Raffaella Burioni , Davide Cassi , Franco Maria Neri

We present a new model for the diffusion of innovation. Here, the population is segmented into distinct groups. Adoption by a particular group of some cultural product may be inhibited both by large numbers of its own members already having…

Physics and Society · Physics 2018-02-27 Anirban Chakraborti , Syed S. Husain , Joseph Whitmeyer

While traditional recommendation techniques have made significant strides in the past decades, they still suffer from limited generalization performance caused by factors like inadequate collaborative signals, weak latent representations,…

Information Retrieval · Computer Science 2024-09-17 Jianghao Lin , Jiaqi Liu , Jiachen Zhu , Yunjia Xi , Chengkai Liu , Yangtian Zhang , Yong Yu , Weinan Zhang

There are significant differences in innovation performance between countries. Additionally, the pharmaceutical sector is stronger in some countries than in others. This suggests that the development of the pharmaceutical industry can…

General Economics · Economics 2022-12-29 Szabolcs Nagy , Sergey U. Chernikov , Ekaterina Degtereva

We consider a decision maker who must choose an action in order to maximize a reward function that depends also on an unknown parameter {\Theta}. The decision maker can delay taking the action in order to experiment and gather additional…

Machine Learning · Statistics 2021-06-22 Victor F. Araman , Rene Caldentey

Machine learning models play a key role for service providers looking to gain market share in consumer markets. However, traditional learning approaches do not take into account the existence of additional providers, who compete with each…

Machine Learning · Computer Science 2025-08-15 Ohad Einav , Nir Rosenfeld

Diffusion Models are popular generative modeling methods in various vision tasks, attracting significant attention. They can be considered a unique instance of self-supervised learning methods due to their independence from label…

Computer Vision and Pattern Recognition · Computer Science 2025-01-19 Michael Fuest , Pingchuan Ma , Ming Gui , Johannes Schusterbauer , Vincent Tao Hu , Bjorn Ommer

A fundamental question related to innovation diffusion is how the social network structure influences the process. Empirical evidence regarding real-world influence networks is very limited. On the other hand, agent-based modeling…

Physics and Society · Physics 2015-06-17 Katarzyna Sznajd-Weron , Janusz Szwabinski , Rafal Weron , Tomasz Weron

Diffusion models, a family of generative models based on deep learning, have become increasingly prominent in cutting-edge machine learning research. With a distinguished performance in generating samples that resemble the observed data,…

Machine Learning · Computer Science 2023-05-02 Lequan Lin , Zhengkun Li , Ruikun Li , Xuliang Li , Junbin Gao

Diffusion models have emerged from various theoretical and methodological perspectives, each offering unique insights into their underlying principles. In this work, we provide an overview of the most prominent approaches, drawing attention…

Machine Learning · Computer Science 2024-09-04 Solveig Klepper

This paper is concerned with reaction-diffusion systems of two symmetric species in spatial dimension one, having two stable symmetric equilibria connected by a symmetric standing front. The first order variation of the speed of this front…

Analysis of PDEs · Mathematics 2017-03-08 Emmanuel Risler

Market bubbles emerge when asset prices are driven unsustainably higher than asset values and shifts in belief burst them. We demonstrate the same phenomenon for biomedical knowledge when promising research receives inflated attention. We…

Social and Information Networks · Computer Science 2024-04-22 Donghyun Kang , Robert S. Danziger , Jalees Rehman , James A. Evans

The information diffusion prediction on social networks aims to predict future recipients of a message, with practical applications in marketing and social media. While different prediction models all claim to perform well, general…

Social and Information Networks · Computer Science 2025-01-16 Wenjin Xie , Xiaomeng Wang , Radosław Michalski , Tao Jia