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Bayesian inference of Bayesian network structures is often performed by sampling directed acyclic graphs along an appropriately constructed Markov chain. We present two techniques to improve sampling. First, we give an efficient…

Machine Learning · Computer Science 2025-10-30 Daniele Nikzad , Alexander Zhilkin , Juha Harviainen , Jack Kuipers , Giusi Moffa , Mikko Koivisto

Greedy algorithms have long been a workhorse for learning graphical models, and more broadly for learning statistical models with sparse structure. In the context of learning directed acyclic graphs, greedy algorithms are popular despite…

Machine Learning · Computer Science 2021-11-01 Goutham Rajendran , Bohdan Kivva , Ming Gao , Bryon Aragam

To represent the causal relationships between variables, a directed acyclic graph (DAG) is widely utilized in many areas, such as social sciences, epidemics, and genetics. Many causal structure learning approaches are developed to learn the…

Machine Learning · Statistics 2025-01-14 Jianian Wang , Rui Song

The causal dependence in data is often characterized by Directed Acyclic Graphical (DAG) models, widely used in many areas. Causal discovery aims to recover the DAG structure using observational data. This paper focuses on causal discovery…

Machine Learning · Computer Science 2024-06-12 Boxin Zhao , Weishi Wang , Dingyuan Zhu , Ziqi Liu , Dong Wang , Zhiqiang Zhang , Jun Zhou , Mladen Kolar

We introduce a new class of identifiable DAG models where the conditional distribution of each node given its parents belongs to a family of generalized hypergeometric distributions (GHD). A family of generalized hypergeometric…

Machine Learning · Statistics 2019-10-17 Gunwoong Park , Hyewon Park

To measure the tree-likeness of a directed acyclic graph (DAG), a new width parameter that considers the directions of the arcs was recently introduced: scanwidth. We present the first algorithm that efficiently computes the exact scanwidth…

Data Structures and Algorithms · Computer Science 2026-05-21 Niels Holtgrefe , Leo van Iersel , Mark Jones

Discovering causal structure among a set of variables is a fundamental problem in many empirical sciences. Traditional score-based casual discovery methods rely on various local heuristics to search for a Directed Acyclic Graph (DAG)…

Machine Learning · Computer Science 2020-06-09 Shengyu Zhu , Ignavier Ng , Zhitang Chen

We consider the task of learning causal structures from data stored on multiple machines, and propose a novel structure learning method called distributed annealing on regularized likelihood score (DARLS) to solve this problem. We model…

Methodology · Statistics 2024-04-30 Qiaoling Ye , Arash A. Amini , Qing Zhou

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

Dynamic Bayesian networks have been well explored in the literature as discrete-time models: however, their continuous-time extensions have seen comparatively little attention. In this paper, we propose the first constraint-based algorithm…

Artificial Intelligence · Computer Science 2021-06-04 Alessandro Bregoli , Marco Scutari , Fabio Stella

Traditional approaches to Bayes net structure learning typically assume little regularity in graph structure other than sparseness. However, in many cases, we expect more systematicity: variables in real-world systems often group into…

Machine Learning · Computer Science 2012-07-02 Vikash Mansinghka , Charles Kemp , Thomas Griffiths , Joshua Tenenbaum

We study the problem of learning directed acyclic graphs from continuous observational data, generated according to a linear Gaussian structural equation model. State-of-the-art structure learning methods for this setting have at least one…

Methodology · Statistics 2025-04-03 Tong Xu , Armeen Taeb , Simge Küçükyavuz , Ali Shojaie

Heterogeneous graphs generally refers to graphs with different types of nodes and edges. A common approach for extracting useful information from heterogeneous graphs is to use meta-graphs, which can be seen as a special kind of directed…

Machine Learning · Computer Science 2023-09-04 Hansi Yang , Peiyu Zhang , Quanming Yao

This paper offers a new perspective on Artificial Neural Networks (ANNs) architecture. Traditional ANNs commonly use tree-like or DAG structures for simplicity, which can be preset or determined by Neural Architecture Search (NAS). Yet,…

Machine Learning · Computer Science 2025-06-05 Xinshun Liu , Yizhi Fang , Yichao Jiang

We address the problem of Bayesian structure learning for domains with hundreds of variables by employing non-parametric bootstrap, recursively. We propose a method that covers both model averaging and model selection in the same framework.…

Machine Learning · Statistics 2018-09-14 Raanan Y. Rohekar , Yaniv Gurwicz , Shami Nisimov , Guy Koren , Gal Novik

Optimization of directed acyclic graph (DAG) structures has many applications, such as neural architecture search (NAS) and probabilistic graphical model learning. Encoding DAGs into real vectors is a dominant component in most…

Machine Learning · Computer Science 2022-12-14 Zehao Dong , Muhan Zhang , Fuhai Li , Yixin Chen

We propose a linear-time, single-pass, top-down algorithm for multiple testing on directed acyclic graphs (DAGs), where nodes represent hypotheses and edges specify a partial ordering in which hypotheses must be tested. The procedure is…

Methodology · Statistics 2018-12-06 Aaditya Ramdas , Jianbo Chen , Martin J. Wainwright , Michael I. Jordan

Bayesian structure learning allows one to capture uncertainty over the causal directed acyclic graph (DAG) responsible for generating given data. In this work, we present Tractable Uncertainty for STructure learning (TRUST), a framework for…

Machine Learning · Computer Science 2022-07-05 Benjie Wang , Matthew Wicker , Marta Kwiatkowska

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…

Artificial Intelligence · Computer Science 2023-05-19 Christian D. Blakely

Continual Learning is a learning paradigm where learning systems are trained with sequential or streaming tasks. Two notable directions among the recent advances in continual learning with neural networks are ($i$) variational Bayes based…

Machine Learning · Computer Science 2020-02-24 Abhishek Kumar , Sunabha Chatterjee , Piyush Rai
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