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A growing body of work has begun to study intervention design for efficient structure learning of causal directed acyclic graphs (DAGs). A typical setting is a causally sufficient setting, i.e. a system with no latent confounders, selection…

This paper investigates in which cases continuous optimization for directed acyclic graph (DAG) structure learning can and cannot perform well and why this happens, and suggests possible directions to make the search procedure more…

Machine Learning · Computer Science 2024-08-20 Ignavier Ng , Biwei Huang , Kun Zhang

Multivariate time series (MTS) data such as time course gene expression data in genomics are often collected to study the dynamic nature of the systems. These data provide important information about the causal dependency among a set of…

Applications · Statistics 2013-12-03 Wanlu Deng , Zhi Geng , Hongzhe Li

Directed Acyclic Graphs (DAGs) are solid structures used to describe and infer the dependencies among variables in multivariate scenarios. Having a thorough comprehension of the accurate DAG-generating model is crucial for causal discovery…

Methodology · Statistics 2024-09-09 S. Nazari , M. Arashi , A. Sadeghkhani

Recent progress in large language models has renewed interest in how multi-step reasoning is represented internally. While prior work often treats reasoning as a linear chain, many reasoning problems are more naturally modeled as directed…

Computation and Language · Computer Science 2026-04-07 Tianjun Zhong , Linyang He , Nima Mesgarani

Directed acyclic graphical models (DAGs) are often used to describe common structural properties in a family of probability distributions. This paper addresses the question of classifying DAGs up to an isomorphism. By considering Gaussian…

Information Theory · Computer Science 2014-12-24 Hajir Roozbehani , Yury Polyanskiy

We introduce the problem of active causal structure learning with advice. In the typical well-studied setting, the learning algorithm is given the essential graph for the observational distribution and is asked to recover the underlying…

Machine Learning · Computer Science 2023-06-01 Davin Choo , Themis Gouleakis , Arnab Bhattacharyya

We study the Bayesian model averaging approach to learning Bayesian network structures (DAGs) from data. We develop new algorithms including the first algorithm that is able to efficiently sample DAGs according to the exact structure…

Artificial Intelligence · Computer Science 2015-01-20 Ru He , Jin Tian , Huaiqing Wu

Understanding relationships between feature variables is one important way humans use to make decisions. However, state-of-the-art deep learning studies either focus on task-agnostic statistical dependency learning or do not model explicit…

Machine Learning · Computer Science 2021-03-04 Arshdeep Sekhon , Zhe Wang , Yanjun Qi

Learning directed acyclic graphs (DAGs) from data is a challenging task both in theory and in practice, because the number of possible DAGs scales superexponentially with the number of nodes. In this paper, we study the problem of learning…

Machine Learning · Computer Science 2019-04-25 Hasan Manzour , Simge Küçükyavuz , Ali Shojaie

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

We propose an empirical Bayes formulation of the structure learning problem, where the prior specification assumes that all node variables have the same error variance, an assumption known to ensure the identifiability of the underlying…

Computation · Statistics 2023-08-17 Hyunwoong Chang , James Cai , Quan Zhou

Bayesian causal discovery offers the power to quantify epistemic uncertainties among a broad range of structurally diverse causal theories potentially explaining the data, represented in forms of directed acyclic graphs (DAGs). However,…

Machine Learning · Computer Science 2024-08-30 Nu Hoang , Bao Duong , Thin Nguyen

We study the problem of actively learning a non-parametric choice model based on consumers' decisions. We present a negative result showing that such choice models may not be identifiable. To overcome the identifiability problem, we…

Machine Learning · Computer Science 2024-04-26 Fransisca Susan , Negin Golrezaei , Ehsan Emamjomeh-Zadeh , David Kempe

The fields of time series and graphical models emerged and advanced separately. Previous work on the structure learning of continuous and real-valued time series utilizes the time domain, with a focus on either structural autoregressive…

Computation · Statistics 2023-04-18 Aramayis Dallakyan

Directed Acyclic Graphs (DAGs) provide a powerful framework to model causal relationships among variables in multivariate settings; in addition, through the do-calculus theory, they allow for the identification and estimation of causal…

Machine Learning · Statistics 2022-01-31 Federico Castelletti , Alessandro Mascaro

Causal structure learning has long been the central task of inferring causal insights from data. Despite the abundance of real-world processes exhibiting higher-order mechanisms, however, an explicit treatment of interactions in causal…

Machine Learning · Computer Science 2025-11-07 James Enouen , Yujia Zheng , Ignavier Ng , Yan Liu , Kun Zhang

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…

Methodology · Statistics 2014-11-17 Chris J. Oates , Lilia Carneiro da Costa , Tom Nichols

Graph-structured data ubiquitously appears in science and engineering. Graph neural networks (GNNs) are designed to exploit the relational inductive bias exhibited in graphs; they have been shown to outperform other forms of neural networks…

Machine Learning · Computer Science 2021-02-03 Veronika Thost , Jie Chen

Finding the structure of a graphical model has been received much attention in many fields. Recently, it is reported that the non-Gaussianity of data enables us to identify the structure of a directed acyclic graph without any prior…

Artificial Intelligence · Computer Science 2010-06-28 Yoshinobu Kawahara , Kenneth Bollen , Shohei Shimizu , Takashi Washio
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