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Probabilistic graphical models are graphical representations of probability distributions. Graphical models have applications in many fields including biology, social sciences, linguistic, neuroscience. In this paper, we propose directed…

机器学习 · 统计学 2014-06-10 Ru Wang , Jie Peng

We consider the problem of learning causal directed acyclic graphs from an observational joint distribution. One can use these graphs to predict the outcome of interventional experiments, from which data are often not available. We show…

机器学习 · 统计学 2016-08-18 Jonas Peters , Joris Mooij , Dominik Janzing , Bernhard Schölkopf

Bayesian networks (BN) are directed acyclic graphical (DAG) models that have been adopted into many fields for their strengths in transparency, interpretability, probabilistic reasoning, and causal modeling. Given a set of data, one hurdle…

人工智能 · 计算机科学 2023-05-19 Christian D. Blakely

Directed acyclic graph (DAG) models are widely used to represent causal relationships among random variables in many application domains. This paper studies a special class of non-Gaussian DAG models, where the conditional variance of each…

机器学习 · 统计学 2021-11-03 Wei Zhou , Xin He , Wei Zhong , Junhui Wang

While visual comparison of directed acyclic graphs (DAGs) is commonly encountered in various disciplines (e.g., finance, biology), knowledge about humans' perception of graph similarity is currently quite limited. By graph similarity…

人机交互 · 计算机科学 2017-09-07 Kathrin Ballweg , Margit Pohl , Günter Wallner , Tatiana von Landesberger

We assume that we have observational data generated from an unknown underlying directed acyclic graph (DAG) model. A DAG is typically not identifiable from observational data, but it is possible to consistently estimate the equivalence…

统计方法学 · 统计学 2009-09-02 Marloes H. Maathuis , Markus Kalisch , Peter Bühlmann

We study a distributed learning problem in which learning agents are embedded in a directed acyclic graph (DAG). There is a fixed and arbitrary distribution over feature/label pairs, and each agent or vertex in the graph is able to directly…

机器学习 · 计算机科学 2025-10-13 Michael Kearns , Aaron Roth , Emily Ryu

The combinatorial search space presents a significant challenge to learning causality from data. Recently, the problem has been formulated into a continuous optimization framework with an acyclicity constraint, allowing for the exploration…

机器学习 · 计算机科学 2022-04-04 Hristo Petkov , Colin Hanley , Feng Dong

We introduce cyclinbayes, an open-source R package for discovering linear causal relationships with both acyclic and cyclic structures. The package employs scalable Bayesian approaches with spike-and-slab priors to learn directed acyclic…

统计计算 · 统计学 2026-02-25 Robert Lee , Raymond K. W. Wong , Yang Ni

Language models can be sampled multiple times to access the distribution underlying their responses, but existing methods cannot efficiently synthesize rich epistemic signals across different long-form responses. We introduce Consensus…

计算与语言 · 计算机科学 2025-10-07 Sayan Ghosh , Shahzaib Saqib Warraich , Dhruv Tarsadiya , Gregory Yauney , Swabha Swayamdipta

Our motivation stems from current medical research aiming at personalized treatment using a molecular-based approach. The broad goal is to develop a more precise and targeted decision making process, relative to traditional treatments based…

统计方法学 · 统计学 2022-01-27 Federico Castelletti , Guido Consonni

Attack graphs are commonly used to analyse the security of medium-sized to large networks. Based on a scan of the network and likelihood information of vulnerabilities, attack graphs can be transformed into Bayesian Attack Graphs (BAGs).…

密码学与安全 · 计算机科学 2021-03-18 Isaac Matthews , John Mace , Sadegh Soudjani , Aad van Moorsel

Chain event graphs have been established as a practical Bayesian graphical tool. While bespoke diagnostics have been developed for Bayesian Networks, they have not yet been defined for the statistical class of Chain Event Graph models.…

统计方法学 · 统计学 2019-10-11 Rachel L. Wilkerson , Jim Q. Smith

Comparing directed acyclic graphs is essential in various fields such as healthcare, social media, finance, biology, and marketing. DAGs often result from contagion processes over networks, including information spreading, retweet activity,…

人机交互 · 计算机科学 2024-08-31 Kathrin Guckes , Marc Schäpers , Margit Pohl , Andreas Kerren , Tatiana von Landesberger

We describe computationally efficient methods for learning mixtures in which each component is a directed acyclic graphical model (mixtures of DAGs or MDAGs). We argue that simple search-and-score algorithms are infeasible for a variety of…

机器学习 · 计算机科学 2015-05-19 Bo Thiesson , Christopher Meek , David Maxwell Chickering , David Heckerman

This work aims to learn the directed acyclic graph (DAG) that captures the instantaneous dependencies underlying a multivariate time series. The observed data follow a linear structural vector autoregressive model (SVARM) with both…

信号处理 · 电气工程与系统科学 2025-12-09 Samuel Rey , Gonzalo Mateos

Directed acyclic graphs (DAGs) and associated probability models are widely used to model neural connectivity and communication channels. In many experiments, data are collected from multiple subjects whose connectivities may differ but are…

统计方法学 · 统计学 2014-11-17 Chris J. Oates , Lilia Carneiro da Costa , Tom Nichols

This paper studies the problem of learning the correlation structure of a set of intervention functions defined on the directed acyclic graph (DAG) of a causal model. This is useful when we are interested in jointly learning the causal…

机器学习 · 统计学 2020-09-29 Virginia Aglietti , Theodoros Damoulas , Mauricio Álvarez , Javier González

We study submodels of Gaussian DAG models defined by partial homogeneity constraints imposed on the model error variances and structural coefficients. We represent these models with colored DAGs and investigate their properties for use in…

统计理论 · 数学 2025-12-12 Tobias Boege , Kaie Kubjas , Pratik Misra , Liam Solus

We study a family of regularized score-based estimators for learning the structure of a directed acyclic graph (DAG) for a multivariate normal distribution from high-dimensional data with $p\gg n$. Our main results establish support…

统计理论 · 数学 2017-10-03 Bryon Aragam , Arash A. Amini , Qing Zhou