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We examine a class of deep learning models with a tractable method to compute information-theoretic quantities. Our contributions are three-fold: (i) We show how entropies and mutual informations can be derived from heuristic statistical…

Machine Learning · Computer Science 2020-01-22 Marylou Gabrié , Andre Manoel , Clément Luneau , Jean Barbier , Nicolas Macris , Florent Krzakala , Lenka Zdeborová

Predicting the occurrence of links is a fundamental problem in networks. In the link prediction problem we are given a snapshot of a network and would like to infer which interactions among existing members are likely to occur in the near…

Social and Information Networks · Computer Science 2010-11-19 L. Backstrom , J. Leskovec

Identification of vital nodes contributes to the research of network robustness and vulnerability. The most influential nodes are effective in maximizing the speed and accelerating the information propagation in complex networks.…

Discrete Mathematics · Computer Science 2025-09-16 Zeynep Nihan Berberler , Aysun Asena Kunt

Pathway enrichment analysis has become a key tool for biomedical researchers to gain insight into the underlying biology of differentially expressed genes, proteins and metabolites. It reduces complexity and provides a system-level view of…

Methodology · Statistics 2016-06-24 Jing Ma , Ali Shojaie , George Michailidis

In this paper we present EvalNE, a Python toolbox for evaluating network embedding methods on link prediction tasks. Link prediction is one of the most popular choices for evaluating the quality of network embeddings. However, the…

Social and Information Networks · Computer Science 2022-02-02 Alexandru Mara , Jefrey Lijffijt , Tijl De Bie

Over the last two decades, network theory has shown to be a fruitful paradigm in understanding the organization and functioning of real-world complex systems. One technique helpful to this endeavor is identifying functionally influential…

Physics and Society · Physics 2022-01-24 Francesco Picciolo , Franco Ruzzenenti , Petter Holme , Rossana Mastrandrea

Increasing the connectivity of a graph is a pivotal challenge in robust network design. The weighted connectivity augmentation problem is a common version of the problem that takes link costs into consideration. The problem is then to find…

Data Structures and Algorithms · Computer Science 2024-02-13 Marcelo Fonseca Faraj , Ernestine Großmann , Felix Joos , Thomas Möller , Christian Schulz

Link prediction is a crucial research area in knowledge graphs, with many downstream applications. In many real-world scenarios, inductive link prediction is required, where predictions have to be made among unseen entities. Embedding-based…

Machine Learning · Computer Science 2024-07-10 Canlin Zhang , Xiuwen Liu

Link prediction plays an important role in network analysis and applications. Recently, approaches for link prediction have evolved from traditional similarity-based algorithms into embedding-based algorithms. However, most existing…

Social and Information Networks · Computer Science 2020-08-11 Lei Wang , Jing Ren , Bo Xu , Jianxin Li , Wei Luo , Feng Xia

Network embedding methods map a network's nodes to vectors in an embedding space, in such a way that these representations are useful for estimating some notion of similarity or proximity between pairs of nodes in the network. The quality…

Social and Information Networks · Computer Science 2022-02-02 Alexandru Mara , Jefrey Lijffijt , Tijl De Bie

Transfer entropy is an established method for quantifying directed statistical dependencies in neuroimaging and complex systems datasets. The pairwise (or bivariate) transfer entropy from a source to a target node in a network does not…

Information Theory · Computer Science 2020-05-05 Leonardo Novelli , Fatihcan M. Atay , Jürgen Jost , Joseph T. Lizier

Many link prediction algorithms require the computation of a similarity metric on each vertex pair, which is quadratic in the number of vertices and infeasible for large networks. We develop a class of link prediction algorithms based on a…

Social and Information Networks · Computer Science 2017-04-10 Benjamin Pachev , Benjamin Webb

Networks offer a powerful approach to modeling complex systems by representing the underlying set of pairwise interactions. Link prediction is the task that predicts links of a network that are not directly visible, with profound…

Physics and Society · Physics 2024-04-22 Yijun Ran , Xiao-Ke Xu , Tao Jia

We introduce Loop Ranking, a new ranking measure based on the detection of closed paths, which can be computed in an efficient way. We analyze it with respect to several ranking measures which have been proposed in the past, and are widely…

Disordered Systems and Neural Networks · Physics 2013-05-29 Valery Van Kerrebroeck , Enzo Marinari

The link prediction task on knowledge graphs without explicit negative triples in the training data motivates the usage of rank-based metrics. Here, we review existing rank-based metrics and propose desiderata for improved metrics to…

Machine Learning · Computer Science 2022-04-20 Charles Tapley Hoyt , Max Berrendorf , Mikhail Galkin , Volker Tresp , Benjamin M. Gyori

Many network analysis and graph learning techniques are based on models of random walks which require to infer transition matrices that formalize the underlying stochastic process in an observed graph. For weighted graphs, it is common to…

Methodology · Statistics 2022-10-28 Vincenzo Perri , Luka V. Petrović , Ingo Scholtes

Link prediction is one of the fundamental problems in network analysis. In many applications, notably in genetics, a partially observed network may not contain any negative examples of absent edges, which creates a difficulty for many…

Machine Learning · Statistics 2013-01-30 Yunpeng Zhao , Elizaveta Levina , Ji Zhu

Predicting missing links in complex networks requires algorithms that are able to explore statistical regularities in the existing data. Here we investigate the interplay between algorithm efficiency and network structures through the…

Social and Information Networks · Computer Science 2025-02-14 Alexey Vlaskin , Eduardo G. Altmann

The weighted entropy $H^{\rm w}_\phi (X)=H^{\rm w}_\phi (f)$ of a random variable $X$ with values $x$ and a probability-mass/density function $f$ is defined as the mean value ${\mathbb E} I^{\rm w}_\phi(X)$ of the weighted information…

Information Theory · Computer Science 2016-12-30 Yuri Suhov , Izabella Stuhl

Network information mining is the study of the network topology, which answers a large number of application-based questions towards the structural evolution and the function of a real system. For example, the questions can be related to…

Physics and Society · Physics 2022-06-29 Yijun Ran , Tianyu Liu , Tao Jia , Xiao-Ke Xu
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