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Bayesian network is a complete model for the variables and their relationships, it can be used to answer probabilistic queries about them. A Bayesian network can thus be considered a mechanism for automatically applying Bayes' theorem to…

Artificial Intelligence · Computer Science 2010-11-08 Jianguo Ding

One problem to solve in the context of information fusion, decision-making, and other artificial intelligence challenges is to compute justified beliefs based on evidence. In real-life examples, this evidence may be inconsistent,…

Artificial Intelligence · Computer Science 2023-06-07 Daira Pinto Prieto , Ronald de Haan , Aybüke Özgün

Within network analysis, the analytical maximum entropy framework has been very successful for different tasks as network reconstruction and filtering. In a recent paper, the same framework was used for link-prediction for monopartite…

Information entropy has been proved to be an effective tool to quantify the structural importance of complex networks. In the previous work (Xu et al, 2016 \cite{xu2016}), we measure the contribution of a path in link prediction with…

Social and Information Networks · Computer Science 2017-03-08 Zhongqi Xu , Cunlai Pu , Rajput Ramiz Sharafat , Lunbo Li , Jian Yang

We study the task of selecting $k$ nodes, in a social network of size $n$, to seed a diffusion with maximum expected spread size, under the independent cascade model with cascade probability $p$. Most of the previous work on this problem…

Social and Information Networks · Computer Science 2022-05-24 Dean Eckles , Hossein Esfandiari , Elchanan Mossel , M. Amin Rahimian

We construct a probabilistic coherence measure for information sets which determines a partial coherence ordering. This measure is applied in constructing a criterion for expanding our beliefs in the face of new information. A number of…

Artificial Intelligence · Computer Science 2007-05-23 Luc Bovens , Stephan Hartmann

In the existing evidential networks with belief functions, the relations among the variables are always represented by joint belief functions on the product space of the involved variables. In this paper, we use conditional belief functions…

Artificial Intelligence · Computer Science 2013-02-28 Hong Xu , Philippe Smets

We describe an application of belief networks to the diagnosis of bottlenecks in computer systems. The technique relies on a high-level functional model of the interaction between application workloads, the Windows NT operating system, and…

Artificial Intelligence · Computer Science 2013-02-21 John S. Breese , Russ Blake

Inference networks have a variety of important uses and are constructed by persons having quite different standpoints. Discussed in this paper are three different but complementary methods for generating and analyzing probabilistic…

Artificial Intelligence · Computer Science 2013-01-30 David A. Schum

In a regular full exponential family, the maximum likelihood estimator (MLE) need not exist in the traditional sense. However, the MLE may exist in the completion of the exponential family. Existing algorithms for finding the MLE in the…

Statistics Theory · Mathematics 2020-11-30 Daniel J. Eck , Charles J. Geyer

Understanding structural controllability of a complex network requires to identify a Minimum Input nodes Set (MIS) of the network. It has been suggested that finding an MIS is equivalent to computing a maximum matching of the network, where…

Discrete Mathematics · Computer Science 2022-06-02 Xizhe Zhang , Jianfei Han , Weixiong Zhang

Neural networks are widely regarded as black-box models, creating significant challenges in understanding their inner workings, especially in natural language processing (NLP) applications. To address this opacity, model explanation…

Computation and Language · Computer Science 2025-01-10 Melkamu Mersha , Mingiziem Bitewa , Tsion Abay , Jugal Kalita

Model interpretability is an increasingly important component of practical machine learning. Some of the most common forms of interpretability systems are example-based, local, and global explanations. One of the main challenges in…

Machine Learning · Computer Science 2019-01-08 Gregory Plumb , Denali Molitor , Ameet Talwalkar

Belief Propagation (BP) is a popular, distributed heuristic for performing MAP computations in Graphical Models. BP can be interpreted, from a variational perspective, as minimizing the Bethe Free Energy (BFE). BP can also be used to solve…

Artificial Intelligence · Computer Science 2013-05-20 Andrew Gelfand , Jinwoo Shin , Michael Chertkov

Statistical models of natural stimuli provide an important tool for researchers in the fields of machine learning and computational neuroscience. A canonical way to quantitatively assess and compare the performance of statistical models is…

Machine Learning · Statistics 2012-09-17 Lucas Theis , Sebastian Gerwinn , Fabian Sinz , Matthias Bethge

In Bayesian networks, exact belief propagation is achieved through message passing algorithms. These algorithms (ex: inward and outward) provide only a recursive definition of the corresponding messages. In contrast, when working on hidden…

Probability · Mathematics 2012-01-24 G. Nuel

For the purpose of maximizing the spread of influence caused by a certain small number k of nodes in a social network, we are asked to find a k-subset of nodes (i.e., a seed set) with the best capacity to influence the nodes not in it. This…

Social and Information Networks · Computer Science 2022-06-07 Enqiang Zhu , Haosen Wang , Yu Zhang , Kai Zhang , Chanjuan Liu

In today's networked society, many real-world problems can be formalized as predicting links in networks, such as Facebook friendship suggestions, e-commerce recommendations, and the prediction of scientific collaborations in citation…

Social and Information Networks · Computer Science 2021-07-06 Xi Chen , Bo Kang , Jefrey Lijffijt , Tijl De Bie

A method for computing probabilistic propositions is presented. It assumes the availability of a single external routine for computing the probability of one instantiated variable, given a conjunction of other instantiated variables. In…

Artificial Intelligence · Computer Science 2013-04-11 Gregory F. Cooper

In this paper, I present a method to solve a node discovery problem in a networked organization. Covert nodes refer to the nodes which are not observable directly. They affect social interactions, but do not appear in the surveillance logs…

Artificial Intelligence · Computer Science 2016-11-15 Yoshiharu Maeno
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