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When the historical data are limited, the conditional probabilities associated with the nodes of Bayesian networks are uncertain and can be empirically estimated. Second order estimation methods provide a framework for both estimating the…

机器学习 · 统计学 2022-08-09 Conrad D. Hougen , Lance M. Kaplan , Federico Cerutti , Alfred O. Hero

One of the goals of probabilistic inference is to decide whether an empirically observed distribution is compatible with a candidate Bayesian network. However, Bayesian networks with hidden variables give rise to highly non-trivial…

机器学习 · 统计学 2014-10-14 R. Chaves , L. Luft , T. O. Maciel , D. Gross , D. Janzing , B. Schölkopf

In building Bayesian belief networks, the elicitation of all probabilities required can be a major obstacle. We learned the extent of this often-cited observation in the construction of the probabilistic part of a complex influence diagram…

人工智能 · 计算机科学 2013-01-30 Linda C. van der Gaag , Silja Renooij , Cilia L. M. Witteman , Berthe M. P. Aleman , Babs G. Taal

We propose a method to identify all the nodes that are relevant to compute all the conditional probability distributions for a given set of nodes. Our method is simple, effcient, consistent, and does not require learning a Bayesian network…

机器学习 · 计算机科学 2012-07-02 Jose M. Pena , Roland Nilsson , Johan Björkegren , Jesper Tegnér

A framework is presented for a computational theory of probabilistic argument. The Probabilistic Reasoning Environment encodes knowledge at three levels. At the deepest level are a set of schemata encoding the system's domain knowledge.…

人工智能 · 计算机科学 2013-04-05 Kathryn Blackmond Laskey

This article describes a robust algorithm to estimate a conditional probability density f(t|x) as a non-parametric smooth regression function. It is based on a neural network and the Bayesian interpretation of the network output as a…

数据分析、统计与概率 · 物理学 2007-05-23 Michael Feindt

Bayesian Knowledge Tracing (BKT) is a probabilistic model of a learner's state of mastery corresponding to a knowledge component. It considers the learner's state of mastery as a "hidden" or latent binary variable and updates this state…

计算机与社会 · 计算机科学 2024-01-19 Denis Shchepakin , Sreecharan Sankaranarayanan , Dawn Zimmaro

When expert systems based on causal probabilistic networks (CPNs) reach a certain size and complexity, the "combinatorial explosion monster" tends to be present. We propose an approximation scheme that identifies rarely occurring cases and…

人工智能 · 计算机科学 2013-04-05 Frank Jensen , S. K. Anderson

A Bayesian network is a graphical model that encodes probabilistic relationships among variables of interest. When used in conjunction with statistical techniques, the graphical model has several advantages for data analysis. One, because…

机器学习 · 计算机科学 2022-01-11 David Heckerman

Directed graphical models such as Bayesian nets are often used to implement intelligent tutoring systems able to interact in real-time with learners in a purely automatic way. When coping with such models, keeping a bound on the number of…

人工智能 · 计算机科学 2024-09-10 Alessandro Antonucci , Francesca Mangili , Claudio Bonesana , Giorgia Adorni

Variants of Triplet networks are robust entities for learning a discriminative embedding subspace. There exist different triplet mining approaches for selecting the most suitable training triplets. Some of these mining methods rely on the…

机器学习 · 统计学 2021-11-05 Milad Sikaroudi , Benyamin Ghojogh , Fakhri Karray , Mark Crowley , H. R. Tizhoosh

When modeling a probability distribution with a Bayesian network, we are faced with the problem of how to handle continuous variables. Most previous work has either solved the problem by discretizing, or assumed that the data are generated…

机器学习 · 计算机科学 2013-02-21 George H. John , Pat Langley

A reliable knowledge structure is a prerequisite for building effective adaptive learning systems and intelligent tutoring systems. Pursuing an explainable and trustworthy knowledge structure, we propose a method for constructing causal…

人工智能 · 计算机科学 2024-06-27 Yuang Wei , Yizhou Zhou , Yuan-Hao Jiang , Bo Jiang

We define a context-sensitive temporal probability logic for representing classes of discrete-time temporal Bayesian networks. Context constraints allow inference to be focused on only the relevant portions of the probabilistic knowledge.…

人工智能 · 计算机科学 2013-02-21 Liem Ngo , Peter Haddawy , James Helwig

A new method is proposed for exploiting causal independencies in exact Bayesian network inference. A Bayesian network can be viewed as representing a factorization of a joint probability into the multiplication of a set of conditional…

人工智能 · 计算机科学 2014-11-17 N. L. Zhang , D. Poole

Probabilistic predictions from neural networks which account for predictive uncertainty during classification is crucial in many real-world and high-impact decision making settings. However, in practice most datasets are trained on…

机器学习 · 计算机科学 2022-09-30 Satya Borgohain , Klaus Ackermann , Ruben Loaiza-Maya

This paper shows how the Bayesian network paradigm can be used in order to solve combinatorial optimization problems. To do it some methods of structure learning from data and simulation of Bayesian networks are inserted inside Estimation…

人工智能 · 计算机科学 2013-01-18 Pedro Larrañaga , Ramon Etxeberria , Jose A. Lozano , Jose M. Pena

Recently, combinations of generative and Bayesian machine learning have been introduced in particle physics for both fast detector simulation and inference tasks. These neural networks aim to quantify the uncertainty on the generated…

机器学习 · 计算机科学 2024-11-21 Sebastian Bieringer , Sascha Diefenbacher , Gregor Kasieczka , Mathias Trabs

We exploit qualitative probabilistic relationships among variables for computing bounds of conditional probability distributions of interest in Bayesian networks. Using the signs of qualitative relationships, we can implement abstraction…

人工智能 · 计算机科学 2013-02-01 Chao-Lin Liu , Michael P. Wellman

A Bayesian network is a widely used probabilistic graphical model with applications in knowledge discovery and prediction. Learning a Bayesian network (BN) from data can be cast as an optimization problem using the well-known…

人工智能 · 计算机科学 2018-11-14 Zhenyu A. Liao , Charupriya Sharma , James Cussens , Peter van Beek