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Performing exact inference on Bayesian networks is known to be #P-hard. Typically approximate inference techniques are used instead to sample from the distribution on query variables given the values $e$ of evidence variables. Classically,…

量子物理 · 物理学 2014-10-02 Guang Hao Low , Theodore J. Yoder , Isaac L. Chuang

We consider the problem of inferring the directed, causal graph from observational data, assuming no hidden confounders. We take an information theoretic approach, and make three main contributions. First, we show how through algorithmic…

机器学习 · 统计学 2018-09-07 Alexander Marx , Jilles Vreeken

While correlation measures are used to discern statistical relationships between observed variables in almost all branches of data-driven scientific inquiry, what we are really interested in is the existence of causal dependence. Designing…

机器学习 · 计算机科学 2014-06-26 Ishanu Chattopadhyay

Influence maximization in networks is a central problem in machine learning and causal inference, where an intervention on a subset of individuals triggers a diffusion process through the network. Existing approaches typically optimize…

统计方法学 · 统计学 2026-03-13 Renjie Cao , Zhuoxin Yan , Xinyan Su , Zhiheng Zhang

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

The postulate of independence of cause and mechanism (ICM) has recently led to several new causal discovery algorithms. The interpretation of independence and the way it is utilized, however, varies across these methods. Our aim in this…

机器学习 · 统计学 2017-05-08 Michel Besserve , Naji Shajarisales , Bernhard Schölkopf , Dominik Janzing

The paper introduces a generalization for known probabilistic models such as log-linear and graphical models, called here multiplicative models. These models, that express probabilities via product of parameters are shown to capture…

人工智能 · 计算机科学 2012-06-18 Ydo Wexler , Christopher Meek

Distinguishing causal connections from correlations is important in many scenarios. However, the presence of unobserved variables, such as the latent confounder, can introduce bias in conditional independence testing commonly employed in…

统计方法学 · 统计学 2024-05-03 Mingzhou Liu , Xinwei Sun , Yu Qiao , Yizhou Wang

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

We consider the problem of inferring the values of an arbitrary set of variables (e.g., risk of diseases) given other observed variables (e.g., symptoms and diagnosed diseases) and high-dimensional signals (e.g., MRI images or EEG). This is…

机器学习 · 统计学 2019-02-07 Hao Wang , Chengzhi Mao , Hao He , Mingmin Zhao , Tommi S. Jaakkola , Dina Katabi

Causal identification is at the core of the causal inference literature, where complete algorithms have been proposed to identify causal queries of interest. The validity of these algorithms hinges on the restrictive assumption of having…

机器学习 · 计算机科学 2023-10-30 Sina Akbari , Fateme Jamshidi , Ehsan Mokhtarian , Matthew J. Vowels , Jalal Etesami , Negar Kiyavash

Factor analysis is a flexible technique for assessment of multivariate dependence and codependence. Besides being an exploratory tool used to reduce the dimensionality of multivariate data, it allows estimation of common factors that often…

统计方法学 · 统计学 2020-02-19 Kelly C. M. Gonçalves , Afonso C. B. Silva

Learning a Bayesian network (BN) from data can be useful for decision-making or discovering causal relationships. However, traditional methods often fail in modern applications, which exhibit a larger number of observed variables than data…

统计计算 · 统计学 2018-06-26 Raj Agrawal , Tamara Broderick , Caroline Uhler

We consider the hypothesis testing problem of detecting conditional dependence, with a focus on high-dimensional feature spaces. Our contribution is a new test statistic based on samples from a generative adversarial network designed to…

机器学习 · 统计学 2019-12-20 Alexis Bellot , Mihaela van der Schaar

An important task in data analysis is the discovery of causal relationships between observed variables. For continuous-valued data, linear acyclic causal models are commonly used to model the data-generating process, and the inference of…

Safe and reliable disclosure of information from confidential data is a challenging statistical problem. A common approach considers the generation of synthetic data, to be disclosed instead of the original data. Efficient approaches ought…

统计方法学 · 统计学 2024-03-04 Larissa N. A. Martins , Flávio B. Gonçalves , Thais P. Galletti

The paper presents a method for reducing the computational complexity of Bayesian networks through identification and removal of weak dependencies (removal of links from the (moralized) independence graph). The removal of a small number of…

人工智能 · 计算机科学 2013-02-28 Uffe Kjærulff

Bayesian networks are popular probabilistic models that capture the conditional dependencies among a set of variables. Inference in Bayesian networks is a fundamental task for answering probabilistic queries over a subset of variables in…

数据库 · 计算机科学 2021-10-08 Martino Ciaperoni , Cigdem Aslay , Aristides Gionis , Michael Mathioudakis

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

Hierarchical models are versatile tools for joint modeling of data sets arising from different, but related, sources. Fully Bayesian inference may, however, become computationally prohibitive if the source-specific data models are complex,…

统计计算 · 统计学 2016-05-06 Ritabrata Dutta , Paul Blomstedt , Samuel Kaski