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Acyclic digraphs are the underlying representation of Bayesian networks, a widely used class of probabilistic graphical models. Learning the underlying graph from data is a way of gaining insights about the structural properties of a…

Machine Learning · Statistics 2022-05-06 Jack Kuipers , Giusi Moffa

In this paper we consider the problem of learning the genetic-interaction-map, i.e., the topology of a directed acyclic graph (DAG) of genetic interactions from noisy double knockout (DK) data. Based on a set of well established biological…

Genomics · Quantitative Biology 2016-09-12 Fabio Nikolay , Marius Pesavento , George Kritikos , Nassos Typas

In this paper, we develop a new approach to learning high-dimensional Poisson directed acyclic graphical (DAG) models from only observational data without strong assumptions such as faithfulness and strong sparsity. A key component of our…

Machine Learning · Statistics 2019-05-28 Gunwoong Park , Sion Park

Learning causal structures from observational data is a fundamental problem facing important computational challenges when the number of variables is large. In the context of linear structural equation models (SEMs), this paper focuses on…

Machine Learning · Computer Science 2024-02-21 Shuyu Dong , Kento Uemura , Akito Fujii , Shuang Chang , Yusuke Koyanagi , Koji Maruhashi , Michèle Sebag

Deep learning has shown impressive results obtained at the cost of training huge neural networks. However, the larger the architecture, the higher the computational, financial, and environmental costs during training and inference. We aim…

We introduce a structure for the directed acyclic graph (DAG) and a mechanism design based on that structure so that peers can reach consensus at large scale based on proof of work (PoW). We also design a mempool transaction assignment…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-10 Jiahao He , Guangju Wang , Guangyuan Zhang , Jiheng Zhang

We propose a joint order-based scoring framework for causal structure learning of directed acyclic graph (DAG) models under heterogeneous data settings. We show that leveraging heterogeneity improves the accuracy of causal ordering…

Methodology · Statistics 2026-05-18 Hyunwoong Chang , Fariha Taskin

We consider the problem of structure learning for bow-free acyclic path diagrams (BAPs). BAPs can be viewed as a generalization of linear Gaussian DAG models that allow for certain hidden variables. We present a first method for this…

Machine Learning · Statistics 2017-12-05 Christopher Nowzohour , Marloes H. Maathuis , Robin J. Evans , Peter Bühlmann

Biological processes underlying the basic functions of a cell involve complex interactions between genes. From a technical point of view, these interactions can be represented through a graph where genes and their connections are,…

Methodology · Statistics 2020-11-24 Thi Kim Hue Nguyen , Monica Chiogna

The problem of learning a directed acyclic graph (DAG) up to Markov equivalence is equivalent to the problem of finding a permutation of the variables that induces the sparsest graph. Without additional assumptions, this task is known to be…

Methodology · Statistics 2020-11-10 Chandler Squires , Joshua Amaniampong , Caroline Uhler

We develop a framework for learning sparse nonparametric directed acyclic graphs (DAGs) from data. Our approach is based on a recent algebraic characterization of DAGs that led to a fully continuous program for score-based learning of DAG…

Machine Learning · Statistics 2020-03-25 Xun Zheng , Chen Dan , Bryon Aragam , Pradeep Ravikumar , Eric P. Xing

Discovering causal structure from purely observational data (i.e., causal discovery), aiming to identify causal relationships among variables, is a fundamental task in machine learning. The recent invention of differentiable score-based DAG…

Machine Learning · Computer Science 2023-12-12 Fangfu Liu , Wenchang Ma , An Zhang , Xiang Wang , Yueqi Duan , Tat-Seng Chua

Graph embedding algorithms are used to efficiently represent (encode) a graph in a low-dimensional continuous vector space that preserves the most important properties of the graph. One aspect that is often overlooked is whether the graph…

Machine Learning · Computer Science 2020-01-31 Zekarias T. Kefato , Nasrullah Sheikh , Alberto Montresor

This paper proposes a novel multi-agent reinforcement learning (MARL) method to learn multiple coordinated agents under directed acyclic graph (DAG) constraints. Unlike existing MARL approaches, our method explicitly exploits the DAG…

Causal discovery in real-world systems, such as biological networks, is often complicated by feedback loops and incomplete data. Standard algorithms, which assume acyclic structures or fully observed data, struggle with these challenges. To…

Machine Learning · Statistics 2026-04-07 Muralikrishnna G. Sethuraman , Razieh Nabi , Faramarz Fekri

A directed acyclic graph (DAG) is the most common graphical model for representing causal relationships among a set of variables. When restricted to using only observational data, the structure of the ground truth DAG is identifiable only…

Data Structures and Algorithms · Computer Science 2018-09-12 AmirEmad Ghassami , Saber Salehkaleybar , Negar Kiyavash , Kun Zhang

Structural discovery amongst a set of variables is of interest in both static and dynamic settings. In the presence of lead-lag dependencies in the data, the dynamics of the system can be represented through a structural equation model…

Methodology · Statistics 2023-11-28 Jiahe Lin , Huitian Lei , George Michailidis

We propose a continuous optimization framework for discovering a latent directed acyclic graph (DAG) from observational data. Our approach optimizes over the polytope of permutation vectors, the so-called Permutahedron, to learn a…

Machine Learning · Computer Science 2023-02-14 Valentina Zantedeschi , Luca Franceschi , Jean Kaddour , Matt J. Kusner , Vlad Niculae

This paper explores the conditions for determining fixed nodes in structured networks, specifically focusing on directed acyclic graphs (DAGs). We introduce several necessary and sufficient conditions for determining fixed nodes in…

General Topology · Mathematics 2025-09-08 Nam-jin Park , Yeong-Ung Kim , Hyo-Sung Ahn

Directed Acyclic Graphs (DAGs) are a standard tool in causal modeling, but their suitability for capturing the complexity of large-scale multimodal data is questionable. In practice, real-world multimodal datasets are often collected from…

Machine Learning · Computer Science 2026-03-03 Yuhang Liu , Zhen Zhang , Dong Gong , Erdun Gao , Biwei Huang , Mingming Gong , Anton van den Hengel , Kun Zhang , Javen Qinfeng Shi