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MAP is the problem of finding a most probable instantiation of a set of variables given evidence. MAP has always been perceived to be significantly harder than the related problems of computing the probability of a variable instantiation…

Artificial Intelligence · Computer Science 2011-07-04 A. Darwiche , J. D. Park

Information theory has been taken as a prospective tool for quantifying the complexity of complex networks. In this paper, we first study the information entropy or uncertainty of a path using the information theory. Then we apply the path…

Physics and Society · Physics 2016-05-04 Zhongqi Xu , Cunlai Pu , Jian Yang

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…

Artificial Intelligence · Computer Science 2012-12-12 Rina Dechter , Robert Mateescu

Maximum entropy principle (MEP) offers an effective and unbiased approach to inferring unknown probability distributions when faced with incomplete information, while neural networks provide the flexibility to learn complex distributions…

Machine Learning · Statistics 2024-12-04 Wuyue Yang , Liangrong Peng , Guojie Li , Liu Hong

When human operators of cyber-physical systems encounter surprising behavior, they often consider multiple hypotheses that might explain it. In some cases, taking information-gathering actions such as additional measurements or control…

Artificial Intelligence · Computer Science 2024-11-22 Ofer Dagan , Tyler Becker , Zachary N. Sunberg

Finding the most probable explanation for observed variables in a Bayesian network is a notoriously intractable problem, particularly if there are hidden variables in the network. In this paper we examine the complexity of a related…

Computational Complexity · Computer Science 2018-12-12 Johan Kwisthout

Certain classes of problems, including perceptual data understanding, robotics, discovery, and learning, can be represented as incremental, dynamically constructed belief networks. These automatically constructed networks can be dynamically…

Artificial Intelligence · Computer Science 2013-02-28 Keung-Chi Ng , Tod S. Levitt

Expectation Propagation (EP) is a widely used iterative message-passing algorithm that decomposes a global inference problem into multiple local ones. It approximates marginal distributions as ``beliefs'' using intermediate functions called…

Machine Learning · Statistics 2026-04-07 Zilu Zhao , Jichao Chen , Dirk Slock

We propose a new approach to explain Bayesian Networks. The approach revolves around a new definition of a probabilistic argument and the evidence it provides. We define a notion of independent arguments, and propose an algorithm to extract…

Artificial Intelligence · Computer Science 2021-12-03 Jaime Sevilla

As belief networks are used to model increasingly complex situations, the need to automatically construct them from large databases will become paramount. This paper concentrates on solving a part of the belief network induction problem:…

Artificial Intelligence · Computer Science 2013-03-08 Ron Musick

This paper demonstrates a method for using belief-network algorithms to solve influence diagram problems. In particular, both exact and approximation belief-network algorithms may be applied to solve influence-diagram problems. More…

Artificial Intelligence · Computer Science 2013-04-10 Gregory F. Cooper

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…

Artificial Intelligence · Computer Science 2013-03-08 Peter Che , Richard E. Neapolitan , James Kenevan , Martha Evens

Multi-person pose estimation (MPPE) in natural images is key to the meaningful use of visual data in many fields including movement science, security, and rehabilitation. In this paper we tackle MPPE with a bottom-up approach, starting with…

Computer Vision and Pattern Recognition · Computer Science 2017-11-22 Shaofei Wang , Konrad Paul Kording , Julian Yarkony

A principled approach to understand network structures is to formulate generative models. Given a collection of models, however, an outstanding key task is to determine which one provides a more accurate description of the network at hand,…

Machine Learning · Statistics 2018-06-29 Toni Vallès-Català , Tiago P. Peixoto , Roger Guimerà , Marta Sales-Pardo

Extending the quickest path problem to the network reliability, a new problem emerged which aims to assess the network reliability for transmitting at least d units of data from a source node to a sink node through one minimal path (MP)…

Discrete Mathematics · Computer Science 2022-06-13 Majid Forghani-elahabad

The inherent intractability of probabilistic inference has hindered the application of belief networks to large domains. Noisy OR-gates [30] and probabilistic similarity networks [18, 17] escape the complexity of inference by restricting…

Artificial Intelligence · Computer Science 2013-03-08 Paul Dagum , Adam Galper

We introduce a new heuristic algorithm for the problem of finding minimum size loop cutsets in multiply connected belief networks. We compare this algorithm to that proposed in [Suemmondt and Cooper, 1988]. We provide lower bounds on the…

Artificial Intelligence · Computer Science 2013-04-05 Jonathan Stillman

Like any large system development effort, the construction of a complex belief network model requires systems engineering to manage the design and construction process. We propose a rapid prototyping approach to network engineering. We…

Artificial Intelligence · Computer Science 2013-02-18 Suzanne M. Mahoney , Kathryn Blackmond Laskey

Belief propagation is a widely used message passing method for the solution of probabilistic models on networks such as epidemic models, spin models, and Bayesian graphical models, but it suffers from the serious shortcoming that it works…

Statistical Mechanics · Physics 2021-04-27 Alec Kirkley , George T. Cantwell , M. E. J. Newman

This paper examines the problem of constructing belief networks to evaluate plans produced by an knowledge-based planner. Techniques are presented for handling various types of complicating plan features. These include plans with…

Artificial Intelligence · Computer Science 2013-02-28 Paul E. Lehner , Christopher Elsaesser , Scott A. Musman