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The spread of ideas in online social networks is a crucial phenomenon to understand nowadays the proliferation of fake news and their impact in democracies. This makes necessary to use models that mimic the circulation of rumors. The law of…

Social and Information Networks · Computer Science 2019-10-18 Jesus San Martin , Fatima Drubi , Daniel Rodriguez-Perez

In this work, the probability of an event under some joint distribution is bounded by measuring it with the product of the marginals instead (which is typically easier to analyze) together with a measure of the dependence between the two…

Information Theory · Computer Science 2020-10-22 Amedeo Roberto Esposito , Michael Gastpar , Ibrahim Issa

Social networks allow rapid spread of ideas and innovations while the negative information can also propagate widely. When the cascades with different opinions reaching the same user, the cascade arriving first is the most likely to be…

Social and Information Networks · Computer Science 2017-11-10 Guangmo Tong , Weili Wu , Ling Guo , Deying Li , Cong Liu , Bin Liu , Ding-Zhu Du

Collective intelligence, which aggregates the shared information from large crowds, is often negatively impacted by unreliable information sources with the low quality data. This becomes a barrier to the effective use of collective…

Social and Information Networks · Computer Science 2012-10-04 Guo-Jun Qi , Charu Aggarwal , Pierre Moulin , Thomas Huang

We study a simple model of information propagation in social networks, where two quantities are introduced: the spread factor, which measures the average maximal fraction of neighbors of a given node that interchange information among each…

Physics and Society · Physics 2011-03-22 Pedro G. Lind , Luciano R. da Silva , José S. Andrade , Hans J. Herrmann

For $\tilde{f}(t) = \exp(\frac{\alpha-1}{\alpha}t)$, this paper shows that the Sibson mutual information is an $\alpha$-leakage averaged over the adversary's $\tilde{f}$-mean relative information gain (on the secret) at elementary event of…

Information Theory · Computer Science 2025-10-09 Ni Ding , Farhad Farokhi , Tao Guo , Yinfei Xu , Xiang Zhang

In this paper, we consider a random network such that there could be a link between any two nodes in the network with a certain probability (plink). Diffusion is the phenomenon of spreading information throughout the network, starting from…

Social and Information Networks · Computer Science 2015-11-23 Natarajan Meghanathan

We study a rumour model from a percolation theory and branching process point of view. The existence of a giant component is related to the event where the rumour spreads out trough an infinite number of individuals. We present sharp lower…

Probability · Mathematics 2010-11-29 Valdivino V. Junior , Fábio P. Machado , Mauricio Zuluaga

A new generalised approach for multiple correlated sources over a wiretap network is investigated. A basic model consisting of two correlated sources where each produce a component of the common information is initially investigated. There…

Information Theory · Computer Science 2014-10-06 Reevana Balmahoon , Ling Cheng

In this paper, we investigate how constraints on the randomization in the encoding process affect the secrecy rates achievable over wiretap channels. In particular, we characterize the secrecy capacity with a rate-limited local source of…

Information Theory · Computer Science 2012-02-27 Matthieu R. Bloch , Joerg Kliewer

A broadcast channel (BC) where the decoders cooperate via a one-sided link is considered. One common and two private messages are transmitted and the private message to the cooperative user should be kept secret from the cooperation-aided…

Information Theory · Computer Science 2019-05-29 Ziv Goldfeld , Gerhard Kramer , Haim H. Permuter , Paul Cuff

Given a communication system using quantum key distribution, the receiver can be seen as one who tries to guess the sender's information just as potential eavesdroppers do. The receiver-eavesdropper similarity thus implies a simple relation…

Quantum Physics · Physics 2022-09-28 Hong-Yi Su

We present a study of information flow that takes into account the observation that an item relevant to one person is more likely to be of interest to individuals in the same social circle than those outside of it. This is due to the fact…

Statistical Mechanics · Physics 2009-11-10 Fang Wu , Bernardo A. Huberman , Lada A. Adamic , Joshua Tyler

Privacy-preserving data release is about disclosing information about useful data while retaining the privacy of sensitive data. Assuming that the sensitive data is threatened by a brute-force adversary, we define Guessing Leakage as a…

Information Theory · Computer Science 2019-02-04 Seyed Ali Osia , Borzoo Rassouli , Hamed Haddadi , Hamid R. Rabiee , Deniz Gündüz

Research in logic encryption over the last decade has resulted in various techniques to prevent different security threats such as Trojan insertion, intellectual property leakage, and reverse engineering. However, there is little agreement…

Cryptography and Security · Computer Science 2020-07-31 Yinghua Hu , Vivek V. Menon , Andrew Schmidt , Joshua Monson , Matthew French , Pierluigi Nuzzo

The spread of rumors in online networks threatens public safety and results in economic losses. To overcome this problem, a lot of work studies the problem of rumor control which aims at limiting the spread of rumors. However, all previous…

Social and Information Networks · Computer Science 2023-03-20 Pengfei Xu , Zhiyong Peng , Liwei Wang

As people rely on social media as their primary sources of news, the spread of misinformation has become a significant concern. In this large-scale study of news in social media we analyze eleven million posts and investigate propagation…

Social and Information Networks · Computer Science 2018-12-11 Maria Glenski , Tim Weninger , Svitlana Volkova

It is commonly believed that information spreads between individuals like a pathogen, with each exposure by an informed friend potentially resulting in a naive individual becoming infected. However, empirical studies of social media suggest…

Social and Information Networks · Computer Science 2014-03-24 Nathan O. Hodas , Kristina Lerman

We introduce a new information theoretic measure that we call Public Information Complexity (PIC), as a tool for the study of multi-party computation protocols, and of quantities such as their communication complexity, or the amount of…

Computational Complexity · Computer Science 2018-12-18 Iordanis Kerenidis , Adi Rosén , Florent Urrutia

We consider the average probability X of being informed on a gossip in a given social network. The network is modeled within the random graph theory of Erdos and Renyi. In this theory, a network is characterized by two parameters: the size…

Physics and Society · Physics 2007-05-23 K. Malarz , Z. Szvetelszky , B. Szekfu , K. Kulakowski