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This paper compares and evaluates a set of non-parametric mutual information estimators with the goal of providing a novel toolset to progress in the analysis of the capacity of the nonlinear optical channel, which is currently an open…

Information Theory · Computer Science 2018-01-25 Tommaso Catuogno , Menelaos Ralli Camara , Marco Secondini

Network node similarity measure has been paid particular attention in the field of statistical physics. In this paper, we utilize the concept of information and information loss to measure the node similarity. The whole model is based on…

Physics and Society · Physics 2014-03-19 Yongli Li , Peng Luo , Chong Wu

Information theoretic measures (entropies, entropy rates, mutual information) are nowadays commonly used in statistical signal processing for real-world data analysis. The present work proposes the use of Auto Mutual Information (Mutual…

Data Analysis, Statistics and Probability · Physics 2019-07-24 C Granero-Belinchón , S. Roux , P. Abry , N. Garnier

Topological properties of networks are widely applied to study the link-prediction problem recently. Common Neighbors, for example, is a natural yet efficient framework. Many variants of Common Neighbors have been thus proposed to further…

Social and Information Networks · Computer Science 2014-09-18 Fei Tan , Yongxiang Xia , Boyao Zhu

Estimation of information theoretic quantities such as mutual information and its conditional variant has drawn interest in recent times owing to their multifaceted applications. Newly proposed neural estimators for these quantities have…

Machine Learning · Computer Science 2020-07-24 Arnab Kumar Mondal , Arnab Bhattacharya , Sudipto Mukherjee , Prathosh AP , Sreeram Kannan , Himanshu Asnani

Determining the strength of non-linear statistical dependencies between two variables is a crucial matter in many research fields. The established measure for quantifying such relations is the mutual information. However, estimating mutual…

Data Analysis, Statistics and Probability · Physics 2019-07-24 Damián G. Hernández , Inés Samengo

Mutual information has many applications in image alignment and matching, mainly due to its ability to measure the statistical dependence between two images, even if the two images are from different modalities (e.g., CT and MRI). It…

Computer Vision and Pattern Recognition · Computer Science 2024-07-11 Jiecheng Liao , Junhao Lu , Jeff Ji , Jiacheng He

The friendship paradox refers to the sociological observation that, while the people's assessment of their own popularity is typically self-aggrandizing, in reality they are less popular than their friends. The generalized friendship…

Physics and Society · Physics 2014-10-03 Babak Fotouhi , Naghmeh Momeni , Michael G. Rabbat

We study the problem of community detection when there is covariate information about the node labels and one observes multiple correlated networks. We provide an asymptotic upper bound on the per-node mutual information as well as a…

Information Theory · Computer Science 2019-12-12 Vaishakhi Mayya , Galen Reeves

Multiplex graphs, characterised by their layered structure, exhibit informative interdependencies within layers that are crucial for understanding complex network dynamics. Quantifying the interaction and shared information among these…

Statistics Theory · Mathematics 2024-05-24 Anda Skeja , Sofia C. Olhede

In recent years, the problem of identifying the spreading ability and ranking social network users according to their influence has attracted a lot of attention; different approaches have been proposed for this purpose. Most of these…

Social and Information Networks · Computer Science 2021-11-09 Ahmad Zareie , Amir Sheikhahmadi , Rizos Sakellariou

We propose a novel estimator of the mutual information between two ordinal vectors $x$ and $y$. Our approach is inductive (as opposed to deductive) in that it depends on the data generating distribution solely through some nonparametric…

Machine Learning · Statistics 2022-04-12 Yves-Laurent Kom Samo

Estimating mutual information between continuous random variables is often intractable and extremely challenging for high-dimensional data. Recent progress has leveraged neural networks to optimize variational lower bounds on mutual…

Machine Learning · Computer Science 2020-12-01 Ruizhi Liao , Daniel Moyer , Polina Golland , William M. Wells

Graph neural network (GNN) link prediction is increasingly deployed in citation, collaboration, and online social networks to recommend academic literature, collaborators, and friends. While prior research has investigated the dyadic…

Machine Learning · Computer Science 2024-06-06 Arjun Subramonian , Levent Sagun , Yizhou Sun

Feature selection is one of the most fundamental problems in machine learning. An extensive body of work on information-theoretic feature selection exists which is based on maximizing mutual information between subsets of features and class…

Machine Learning · Statistics 2016-06-10 Shuyang Gao , Greg Ver Steeg , Aram Galstyan

Estimating the mutual information from samples from a joint distribution is a challenging problem in both science and engineering. In this work, we realize a variational bound that generalizes both discriminative and generative approaches.…

Machine Learning · Statistics 2023-06-05 Marco Federici , David Ruhe , Patrick Forré

Sensor placement approaches in networks often involve using information-theoretic measures such as entropy and mutual information. We prove that mutual information abides by submodularity and is non-decreasing when considering the mutual…

Information Theory · Computer Science 2024-09-06 George Crowley , Inaki Esnaola

Our work introduces an approach for estimating the contribution of attachment mechanisms to the formation of growing networks. We present a generic model in which growth is driven by the continuous attachment of new nodes according to…

Probability · Mathematics 2019-02-20 Jan Medina , Jorge Finke , Camilo Rocha

Recent research has identified discriminatory behavior of automated prediction algorithms towards groups identified on specific protected attributes (e.g., gender, ethnicity, age group, etc.). When deployed in real-world scenarios, such…

Machine Learning · Computer Science 2023-12-20 Anubha Pandey , Aditi Rai , Maneet Singh , Deepak Bhatt , Tanmoy Bhowmik

In the past over two decades, very fruitful results have been obtained in information theory in the study of the Shannon entropy. This study has led to the discovery of a new class of constraints on the Shannon entropy called…

Information Theory · Computer Science 2025-03-07 Raymond W. Yeung
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