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In Non - ergodic belief networks the posterior belief OF many queries given evidence may become zero.The paper shows that WHEN belief propagation IS applied iteratively OVER arbitrary networks(the so called, iterative OR loopy belief…

人工智能 · 计算机科学 2012-12-12 Rina Dechter , Robert Mateescu

Neural networks are popular state-of-the-art models for many different tasks.They are often trained via back-propagation to find a value of the weights that correctly predicts the observed data. Although back-propagation has shown good…

机器学习 · 统计学 2020-12-29 Simón Rodríguez Santana , Daniel Hernández-Lobato

Backward simulation is an approximate inference technique for Bayesian belief networks. It differs from existing simulation methods in that it starts simulation from the known evidence and works backward (i.e., contrary to the direction of…

人工智能 · 计算机科学 2013-02-28 Robert Fung , Brendan del Favero

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…

人工智能 · 计算机科学 2013-01-30 David A. Schum

We present arguments for the formulation of unified approach to different standard continuous inference methods from partial information. It is claimed that an explicit partition of information into a priori (prior knowledge) and a…

机器学习 · 统计学 2012-12-07 Mark A. Kon , Leszek Plaskota

In recent years, researchers in decision analysis and artificial intelligence (AI) have used Bayesian belief networks to build models of expert opinion. Using standard methods drawn from the theory of computational complexity, workers in…

人工智能 · 计算机科学 2013-04-05 R. Martin Chavez , Gregory F. Cooper

Reciprocal processes are acausal generalizations of Markov processes introduced by Bernstein in 1932. In the literature, a significant amount of attention has been focused on developing dynamical models for reciprocal processes. Recently,…

机器学习 · 统计学 2018-04-11 Francesca Paola Carli

The development of the back-propagation algorithm represents a landmark in neural networks. We provide an approach that conducts the back-propagation again to reverse the traditional back-propagation process to optimize the input loss at…

机器学习 · 计算机科学 2022-02-15 Weiming Xiong , Ruoyu Yang

Negation operation is important in intelligent information processing. Different with existing arithmetic negation, an exponential negation is presented in this paper. The new negation can be seen as a kind of geometry negation. Some basic…

人工智能 · 计算机科学 2021-04-02 Qinyuan Wu , Yong Deng , Neal Xiong

We point out the need to use probability amplitudes rather than probabilities to model evidence accumulation in decision processes involving real physical sensors. Optical information processing systems are given as typical examples of…

人工智能 · 计算机科学 2013-04-05 A. J. Hanson

In recent years the belief network has been used increasingly to model systems in Al that must perform uncertain inference. The development of efficient algorithms for probabilistic inference in belief networks has been a focus of much…

人工智能 · 计算机科学 2013-03-08 Peter Che , Richard E. Neapolitan , James Kenevan , Martha Evens

In this paper we present a synthesis of the work performed on two inference algorithms: the Pearl's belief propagation (BP) algorithm applied to Bayesian networks without loops (i.e. polytree) and the Loopy belief propagation (LBP)…

人工智能 · 计算机科学 2012-06-06 Amen Ajroud , Mohamed Nazih Omri , Habib Youssef , Salem Benferhat

When a network is reconstructed from data, two types of errors can occur: false positive and false negative errors about the presence or absence of links. In this paper, the vertex degree distribution of the true underlying network is…

数据分析、统计与概率 · 物理学 2020-04-30 Gloria Cecchini , Bjoern Schelter

The two most important algorithms in artificial intelligence are backpropagation and belief propagation. In spite of their importance, the connection between them is poorly characterized. We show that when an input to backpropagation is…

人工智能 · 计算机科学 2022-10-04 Frederik Eaton

Bayesian inference for high-dimensional inverse problems is computationally costly and requires selecting a suitable prior distribution. Amortized variational inference addresses these challenges via a neural network that approximates the…

机器学习 · 统计学 2023-01-19 Ali Siahkoohi , Gabrio Rizzuti , Rafael Orozco , Felix J. Herrmann

Data based judgments go into artificial intelligence applications but they undergo paradoxical reversal when seemingly unnecessary additional data is provided. Examples of this are Simpson's reversal and the disjunction effect where the…

人工智能 · 计算机科学 2017-09-14 Subhash Kak

In real-world Bayesian inference applications, prior assumptions regarding the parameters of interest may be unrepresentative of their actual values for a given dataset. In particular, if the likelihood is concentrated far out in the wings…

统计计算 · 统计学 2018-11-01 Xi Chen , Mike Hobson , Saptarshi Das , Paul Gelderblom

Graphs and networks provide a canonical representation of relational data, with massive network data sets becoming increasingly prevalent across a variety of scientific fields. Although tools from mathematics and computer science have been…

统计方法学 · 统计学 2014-08-11 Benjamin P. Olding , Patrick J. Wolfe

Accessing the network through which a propagation dynamics diffuse is essential for understanding and controlling it. In a few cases, such information is available through direct experiments or thanks to the very nature of propagation data.…

物理与社会 · 物理学 2020-12-15 Alfredo Braunstein , Alessandro Ingrosso , Anna Paola Muntoni

This paper examines Bayesian belief network inference using simulation as a method for computing the posterior probabilities of network variables. Specifically, it examines the use of a method described by Henrion, called logic sampling,…

人工智能 · 计算机科学 2013-04-11 Homer L. Chin , Gregory F. Cooper
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