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We are often interested in identifying the feasible subset of a decision space under multiple constraints to permit effective design exploration. If determining feasibility required computationally expensive simulations, the cost of…

机器学习 · 计算机科学 2020-06-25 Alma Rahat , Michael Wood

Causal Bayesian networks have become a powerful technology for reasoning under uncertainty in areas that require transparency and explainability, by relying on causal assumptions that enable us to simulate hypothetical interventions. The…

人工智能 · 计算机科学 2023-03-14 Anthony C. Constantinou , Zhigao Guo , Neville K. Kitson

We show an alternative way of representing a Bayesian belief network by sensitivities and probability distributions. This representation is equivalent to the traditional representation by conditional probabilities, but makes dependencies…

人工智能 · 计算机科学 2013-02-21 Alexander V. Kozlov , Jaswinder Pal Singh

Discovery of an accurate causal Bayesian network structure from observational data can be useful in many areas of science. Often the discoveries are made under uncertainty, which can be expressed as probabilities. To guide the use of such…

人工智能 · 计算机科学 2017-12-27 Fattaneh Jabbari , Mahdi Pakdaman Naeini , Gregory F. Cooper

In order to represent the preferences of a group of individuals, we introduce Probabilistic CP-nets (PCP-nets). PCP-nets provide a compact language for representing probability distributions over preference orderings. We argue that they are…

人工智能 · 计算机科学 2013-09-27 Damien Bigot , Bruno Zanuttini , Helene Fargier , Jerome Mengin

Conditional Density Estimation (CDE) models deal with estimating conditional distributions. The conditions imposed on the distribution are the inputs of the model. CDE is a challenging task as there is a fundamental trade-off between model…

机器学习 · 统计学 2018-10-31 Vincent Dutordoir , Hugh Salimbeni , Marc Deisenroth , James Hensman

Bayesian networks (BNs) are graphical models that are useful for representing high-dimensional probability distributions. There has been a great deal of interest in recent years in the NP-hard problem of learning the structure of a BN from…

机器学习 · 统计学 2016-10-04 D. Jennings , J. N. Corcoran

The standard approach to answering an identifiable causal-effect query (e.g., $P(Y|do(X)$) when given a causal diagram and observational data is to first generate an estimand, or probabilistic expression over the observable variables, which…

人工智能 · 计算机科学 2024-08-28 Anna Raichev , Alexander Ihler , Jin Tian , Rina Dechter

We showed how to use trained neural networks to perform Bayesian reasoning in order to solve tasks outside their initial scope. Deep generative models provide prior knowledge, and classification/regression networks impose constraints. The…

机器学习 · 计算机科学 2021-06-02 Jakob Knollmüller , Torsten Enßlin

Over the past several years Bayesian networks have been applied to a wide variety of problems. A central problem in applying Bayesian networks is that of finding one or more of the most probable instantiations of a network. In this paper we…

人工智能 · 计算机科学 2013-02-18 Sampath Srinivas , Pandurang Nayak

Neural Networks and Decision Trees: two popular techniques for supervised learning that are seemingly disconnected in their formulation and optimization method, have recently been combined in a single construct. The connection pivots on…

机器学习 · 统计学 2020-02-27 Giuseppe Nuti , Lluís Antoni Jiménez Rugama , Kaspar Thommen

Many state-of-the-art results obtained with deep networks are achieved with the largest models that could be trained, and if more computation power was available, we might be able to exploit much larger datasets in order to improve…

机器学习 · 统计学 2014-07-01 Kyunghyun Cho , Yoshua Bengio

In this paper we present a framework for dynamically constructing Bayesian networks. We introduce the notion of a background knowledge base of schemata, which is a collection of parameterized conditional probability statements. These…

人工智能 · 计算机科学 2013-04-05 Michael C. Horsch , David L. Poole

Bayesian networks are basic graphical models, used widely both in statistics and artificial intelligence. These statistical models of conditional independence structure are described by acyclic directed graphs whose nodes correspond to…

最优化与控制 · 数学 2010-12-01 Raymond Hemmecke , Silvia Lindner , Milan Studený

We present a method for learning the parameters of a Bayesian network with prior knowledge about the signs of influences between variables. Our method accommodates not just the standard signs, but provides for context-specific signs as…

人工智能 · 计算机科学 2012-07-09 Ad Feelders , Linda C. van der Gaag

When collaborating with an AI system, we need to assess when to trust its recommendations. If we mistakenly trust it in regions where it is likely to err, catastrophic failures may occur, hence the need for Bayesian approaches for…

人工智能 · 计算机科学 2021-02-23 Federico Cerutti , Lance M. Kaplan , Angelika Kimmig , Murat Sensoy

In this paper, we provide new complexity results for algorithms that learn discrete-variable Bayesian networks from data. Our results apply whenever the learning algorithm uses a scoring criterion that favors the simplest model able to…

机器学习 · 计算机科学 2012-12-12 David Maxwell Chickering , Christopher Meek , David Heckerman

When training data is sparse, more domain knowledge must be incorporated into the learning algorithm in order to reduce the effective size of the hypothesis space. This paper builds on previous work in which knowledge about qualitative…

机器学习 · 计算机科学 2012-07-09 Eric E. Altendorf , Angelo C. Restificar , Thomas G. Dietterich

Real-life statistical samples are often plagued by selection bias, which complicates drawing conclusions about the general population. When learning causal relationships between the variables is of interest, the sample may be assumed to be…

统计理论 · 数学 2018-11-15 Angelos P. Armen , Robin J. Evans

Knowledge graph construction consists of two tasks: extracting information from external resources (knowledge population) and inferring missing information through a statistical analysis on the extracted information (knowledge completion).…

机器学习 · 统计学 2016-09-06 Dongwoo Kim , Lexing Xie , Cheng Soon Ong