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In this paper, a network-based stochastic information propagation model is developed. The information flow is modeled by a probabilistic differential equation system. The numerical solution of these equations leads to the expected number of…

社会与信息网络 · 计算机科学 2021-06-02 Peter Laszlo Juhasz

This paper models information diffusion in a network of Large Language Models (LLMs) that is designed to answer queries from distributed datasets, where the LLMs can hallucinate the answer. We introduce a two-time-scale dynamical model for…

社会与信息网络 · 计算机科学 2025-04-22 Adit Jain , Vikram Krishnamurthy , Yiming Zhang

Social networks play a fundamental role in the diffusion of information. However, there are two different ways of how information reaches a person in a network. Information reaches us through connections in our social networks, as well as…

社会与信息网络 · 计算机科学 2012-06-08 Seth A. Myers , Chenguang Zhu , Jure Leskovec

Time plays an essential role in the diffusion of information, influence and disease over networks. In many cases we only observe when a node copies information, makes a decision or becomes infected -- but the connectivity, transmission…

社会与信息网络 · 计算机科学 2011-05-05 Manuel Gomez Rodriguez , David Balduzzi , Bernhard Schölkopf

With the widespread use of online social media platforms, information diffusion has become a prevalent phenomenon, making Information Diffusion Prediction (IDP) increasingly important for various applications. Despite significant…

社会与信息网络 · 计算机科学 2024-11-01 Songbo Yang

Normal and anomalous diffusion are ubiquitous in many complex systems [1] . Here, we define a time and space generalized diffusion equation (GDE), which uses fractional-time derivatives and transformed d-path Laplacian operators on…

物理与社会 · 物理学 2022-02-02 Fernando Diaz-Diaz , Ernesto Estrada

Information diffusion and virus propagation are fundamental processes taking place in networks. While it is often possible to directly observe when nodes become infected with a virus or adopt the information, observing individual…

数据结构与算法 · 计算机科学 2015-03-17 Manuel Gomez-Rodriguez , Jure Leskovec , Andreas Krause

Mathematically modelling diffusive and advective transport of particles in heterogeneous layered media is important to many applications in computational, biological and medical physics. While deterministic continuum models of such…

计算物理 · 物理学 2024-09-16 Elliot J. Carr

Social networks have become ubiquitous in our daily life, as such it has attracted great research interests recently. A key challenge is that it is of extremely large-scale with tremendous information flow, creating the phenomenon of "Big…

计算机科学与博弈论 · 计算机科学 2015-06-17 Chunxiao Jiang , Yan Chen , K. J. Ray Liu

Diffusion models have emerged as powerful generative frameworks by progressively adding noise to data through a forward process and then reversing this process to generate realistic samples. While these models have achieved strong…

机器学习 · 计算机科学 2025-03-04 Xingzhuo Guo , Yu Zhang , Baixu Chen , Haoran Xu , Jianmin Wang , Mingsheng Long

One major feature of social networks (e.g., massive online social networks) is the dissemination of information, such as news, rumors and opinions. Information can be propagated via natural connections in written, oral or electronic forms.…

社会与信息网络 · 计算机科学 2016-03-30 Nima Heidari

Autoregressive next-step prediction models have become the de-facto standard for building data-driven neural solvers to forecast time-dependent partial differential equations (PDEs). Denoise training that is closely related to diffusion…

机器学习 · 计算机科学 2025-03-31 Zijie Li , Anthony Zhou , Amir Barati Farimani

Information spread on networks can be efficiently modeled by considering three features: documents' content, time of publication relative to other publications, and position of the spreader in the network. Most previous works model up to…

机器学习 · 计算机科学 2022-12-13 Gaël Poux-Médard , Julien Velcin , Sabine Loudcher

We propose a novel problem formulation of continuous-time information propagation on heterogenous networks based on jump stochastic differential equations (SDE). The structure of the network and activation rates between nodes are naturally…

数值分析 · 数学 2018-10-26 Yaohua Zang , Gang Bao , Xiaojing Ye , Hongyuan Zha , Haomin Zhou

This letter proposes two novel proactive cooperative caching approaches using deep learning (DL) to predict users' content demand in a mobile edge caching network. In the first approach, a (central) content server takes responsibilities to…

网络与互联网体系结构 · 计算机科学 2018-12-14 Yuris Mulya Saputra , Dinh Thai Hoang , Diep N. Nguyen , Eryk Dutkiewicz , Dusit Niyato , Dong In Kim

The diffusion of information and behaviors over social networks is of considerable interest in research fields ranging from sociology to computer science and application domains such as marketing, finance, human health, and national…

适应与自组织系统 · 物理学 2009-12-31 Richard Colbaugh , Kristin Glass

Generative diffusion models, famous for their performance in image generation, are popular in various cross-domain applications. However, their use in the communication community has been mostly limited to auxiliary tasks like data modeling…

网络与互联网体系结构 · 计算机科学 2025-03-11 Ruihuai Liang , Bo Yang , Zhiwen Yu , Bin Guo , Xuelin Cao , Mérouane Debbah , H. Vincent Poor , Chau Yuen

One of the interesting and important problems of information diffusion over a large social network is to identify an appropriate model from a limited amount of diffusion information. There are two contrasting approaches to model information…

社会与信息网络 · 计算机科学 2012-04-23 Kazumi Saito , Masahiro Kimura , Kouzou Ohara , Hiroshi Motoda

A prominent paradigm for graph neural networks is based on the message-passing framework. In this framework, information communication is realized only between neighboring nodes. The challenge of approaches that use this paradigm is to…

机器学习 · 计算机科学 2023-09-18 Maysam Behmanesh , Maximilian Krahn , Maks Ovsjanikov

The increasing prominence of temporal networks in online social platforms and dynamic communication systems has made influence maximization a critical research area. Various diffusion models have been proposed to capture the spread of…

社会与信息网络 · 计算机科学 2025-07-31 Aaqib Zahoor , Iqra Altaf Gillani , Janibul Bashir