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We study the problem of reducing test-time acquisition costs in classification systems. Our goal is to learn decision rules that adaptively select sensors for each example as necessary to make a confident prediction. We model our system as…

Machine Learning · Statistics 2015-10-27 Joseph Wang , Kirill Trapeznikov , Venkatesh Saligrama

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…

Machine Learning · Statistics 2021-11-03 Wei Zhou , Xin He , Wei Zhong , Junhui Wang

In complex multivariate systems, interactions among variables are defined by dependency structures, often encoded as directed acyclic graphs ($\text{DAGs}$). However, dependency structures can vary across subjects, and ignoring this…

Machine Learning · Statistics 2026-05-20 Honglin Du , Muxuan Liang , Xiang Zhong

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…

Statistics Theory · Mathematics 2017-10-03 Bryon Aragam , Arash A. Amini , Qing Zhou

Recovering the underlying Directed Acyclic Graph (DAG) structures from observational data presents a formidable challenge, partly due to the combinatorial nature of the DAG-constrained optimization problem. Recently, researchers have…

Machine Learning · Computer Science 2025-03-26 Zhen Zhang , Ignavier Ng , Dong Gong , Yuhang Liu , Mingming Gong , Biwei Huang , Kun Zhang , Anton van den Hengel , Javen Qinfeng Shi

Directed acyclic graph (DAG) has been widely employed to represent directional relationships among a set of collected nodes. Yet, the available data in one single study is often limited for accurate DAG reconstruction, whereas heterogeneous…

Machine Learning · Statistics 2023-10-17 Mingyang Ren , Xin He , Junhui Wang

Mainly motivated by the problem of modelling directional dependence relationships for multivariate count data in high-dimensional settings, we present a new algorithm, called learnDAG, for learning the structure of directed acyclic graphs…

Methodology · Statistics 2024-06-10 Thi Kim Hue Nguyen , Monica Chiogna , Davide Risso

Learning graphical structures based on Directed Acyclic Graphs (DAGs) is a challenging problem, partly owing to the large search space of possible graphs. A recent line of work formulates the structure learning problem as a continuous…

Machine Learning · Computer Science 2021-01-12 Ignavier Ng , AmirEmad Ghassami , Kun Zhang

Directed acyclic graphs (DAGs) are commonly used to model causal relationships among random variables. In general, learning the DAG structure is both computationally and statistically challenging. Moreover, without additional information,…

Machine Learning · Statistics 2024-03-26 Ali Shojaie , Wenyu Chen

Recovering underlying Directed Acyclic Graph (DAG) structures from observational data is highly challenging due to the combinatorial nature of the DAG-constrained optimization problem. Recently, DAG learning has been cast as a continuous…

Machine Learning · Computer Science 2022-12-23 Zhen Zhang , Ignavier Ng , Dong Gong , Yuhang Liu , Ehsan M Abbasnejad , Mingming Gong , Kun Zhang , Javen Qinfeng Shi

Acyclic model, often depicted as a directed acyclic graph (DAG), has been widely employed to represent directional causal relations among collected nodes. In this article, we propose an efficient method to learn linear non-Gaussian DAG in…

Machine Learning · Statistics 2021-11-02 Ruixuan Zhao , Xin He , Junhui Wang

Discovering the causal relationship via recovering the directed acyclic graph (DAG) structure from the observed data is a well-known challenging combinatorial problem. When there are latent variables, the problem becomes even more…

Machine Learning · Statistics 2023-11-02 Yunfeng Cai , Xu Li , Minging Sun , Ping Li

Due to its human-interpretability and invariance properties, Directed Acyclic Graph (DAG) has been a foundational tool across various areas of AI research, leading to significant advancements. However, DAG learning remains highly…

Machine Learning · Computer Science 2025-06-24 Naiyu Yin , Tian Gao , Yue Yu

Understanding the causal relationships between data variables can provide crucial insights into the construction of tabular datasets. Most existing causality learning methods typically focus on applying a single identifiable causal model,…

Machine Learning · Computer Science 2026-04-07 Hristo Petkov , Calum MacLellan , Feng Dong

Directed Acyclic Graphs (DAGs) are central to uncovering causal structure in complex systems, yet learning a single DAG from data is often challenging: model uncertainty, finite samples, and a combinatorially large search space frequently…

Methodology · Statistics 2026-05-19 Yunan Wu , Yue Wang , Chunlin Li , Chenglong Ye

The use of directed acyclic graphs (DAGs) to represent conditional independence relations among random variables has proved fruitful in a variety of ways. Recursive structural equation models are one kind of DAG model. However,…

Artificial Intelligence · Computer Science 2013-02-21 Peter L. Spirtes

Structural learning of directed acyclic graphs (DAGs) or Bayesian networks has been studied extensively under the assumption that data are independent. We propose a new Gaussian DAG model for dependent data which assumes the observations…

Machine Learning · Statistics 2021-07-30 Hangjian Li , Oscar Hernan Madrid Padilla , Qing Zhou

Directed acyclic graphical (DAG) models are a powerful tool for representing causal relationships among jointly distributed random variables, especially concerning data from across different experimental settings. However, it is not always…

Machine Learning · Statistics 2026-04-03 Francisco Madaleno , Pratik Misra , Alex Markham

We establish finite-sample guarantees for a polynomial-time algorithm for learning a nonlinear, nonparametric directed acyclic graphical (DAG) model from data. The analysis is model-free and does not assume linearity, additivity,…

Machine Learning · Statistics 2020-11-12 Ming Gao , Yi Ding , Bryon Aragam

Directed acyclic graphs (DAGs) are directed graphs in which there is no path from a vertex to itself. DAGs are an omnipresent data structure in computer science and the problem of counting the DAGs of given number of vertices and to sample…

Discrete Mathematics · Computer Science 2025-10-03 Martin Pépin , Alfredo Viola