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The paper introduces mixed networks, a new framework for expressing and reasoning with probabilistic and deterministic information. The framework combines belief networks with constraint networks, defining the semantics and graphical…

Artificial Intelligence · Computer Science 2012-07-19 Rina Dechter , Robert Mateescu

The paper has been withdrawn

Mathematical Physics · Physics 2009-10-31 Alexander I. Olemskoi , Alexei D. Kiselev

The paper has been withdrawn due to an error in Lemma 1.

Data Structures and Algorithms · Computer Science 2007-05-23 Sumit Ganguly

Recent advancements in machine learning have emphasized the need for transparency in model predictions, particularly as interpretability diminishes when using increasingly complex architectures. In this paper, we propose leveraging…

Machine Learning · Computer Science 2025-07-18 Chenrui Zhu , Louenas Bounia , Vu Linh Nguyen , Sébastien Destercke , Arthur Hoarau

We propose a novel method for network inference from partially observed edges using a node-specific degree prior. The degree prior is derived from observed edges in the network to be inferred, and its hyper-parameters are determined by…

Machine Learning · Statistics 2016-02-09 Qingming Tang , Lifu Tu , Weiran Wang , Jinbo Xu

Directed networks are conveniently represented as graphs in which ordered edges encode interactions between vertices. Despite their wide availability, there is a shortage of statistical models amenable for inference, specially when…

Statistics Theory · Mathematics 2023-04-05 Stefan Stein , Chenlei Leng

The paper introduces a generalization for known probabilistic models such as log-linear and graphical models, called here multiplicative models. These models, that express probabilities via product of parameters are shown to capture…

Artificial Intelligence · Computer Science 2012-06-18 Ydo Wexler , Christopher Meek

The sensitivity of networks regarding the removal of vertices has been studied extensively within the last 15 years. A common approach to measure this sensitivity is (i) removing successively vertices by following a specific removal…

Social and Information Networks · Computer Science 2020-01-09 Christoph Martin , Peter Niemeyer

Link prediction, the problem of identifying missing links among a set of inter-related data entities, is a popular field of research due to its application to graph-like domains. Producing consistent evaluations of the performance of the…

Social and Information Networks · Computer Science 2016-11-28 Dario Garcia-Gasulla , Eduard Ayguadé , Jesús Labarta , Ulises Cortés

This paper has been withdrawn by the authors due to a major rewriting.

Neural and Evolutionary Computing · Computer Science 2008-01-07 Manuel Cebrian , Manuel Alfonseca , Alfonso Ortega

We consider the problem of determining the proportion of edges that are discovered in an Erdos-Renyi graph when one constructs all shortest paths from a given source node to all other nodes. This problem is equivalent to the one of…

Statistical Mechanics · Physics 2009-11-13 Vincent D. Blondel , Jean-Loup Guillaume , Julien M. Hendrickx , Raphael M. Jungers

The Waxman random graph is a generalisation of the simple Erd\H{o}s-R\'enyi or Gilbert random graph. It is useful for modelling physical networks where the increased cost of longer links means they are less likely to be built, and thus less…

Statistics Theory · Mathematics 2015-06-30 Matthew Roughan , Jonathan Tuke , Eric Parsonage

There has been considerable recent interest in algorithms for finding communities in networks - groups of vertex within which connections are dense (frequent), but between which connections are sparser (rare). Most of the current literature…

Social and Information Networks · Computer Science 2014-02-07 Adrien Ickowicz

We consider the problem of inferring the unobserved edges of a graph from data supported on its nodes. In line with existing approaches, we propose a convex program for recovering a graph Laplacian that is approximately diagonalizable by a…

Signal Processing · Electrical Eng. & Systems 2020-10-16 T. Mitchell Roddenberry , Madeline Navarro , Santiago Segarra

This paper has been withdrawn by the authors, due a gap in the proof of the main Theorem.

Algebraic Geometry · Mathematics 2007-05-23 V. Beorchia , G. Sacchiero

This paper has been withdrawn by the author due to a crucial sign error in equation 1

Networking and Internet Architecture · Computer Science 2011-06-28 Ayon Chakraborty , Swarup Kumar Mitra , Mrinal Kanti Naskar

The paper has been withdrawn by the author due to a crucial error.

Algebraic Geometry · Mathematics 2011-01-06 Yujiro Kawamata

In the world, in which acceptance and the identification with social communities are highly desired, the ability to predict evolution of groups over time appears to be a vital but very complex research problem. Therefore, we propose a new,…

Social and Information Networks · Computer Science 2019-11-05 Stanisław Saganowski , Piotr Bródka , Michał Koziarski , Przemysław Kazienko

For nonlinear supervised learning models, assessing the importance of predictor variables or their interactions is not straightforward because it can vary in the domain of the variables. Importance can be assessed locally with sensitivity…

Methodology · Statistics 2021-12-14 Topi Paananen , Michael Riis Andersen , Aki Vehtari

This paper has been withdrawn.

Disordered Systems and Neural Networks · Physics 2008-05-08 Volkan Sevim , Per Arne Rikvold
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