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Bayesian networks represent relations between variables using a directed acyclic graph (DAG). Learning the DAG is an NP-hard problem and exact learning algorithms are feasible only for small sets of variables. We propose two scalable…

Machine Learning · Computer Science 2021-07-02 Pierre Gillot , Pekka Parviainen

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

In this paper, we derive optimality results for greedy Bayesian-network search algorithms that perform single-edge modifications at each step and use asymptotically consistent scoring criteria. Our results extend those of Meek (1997) and…

Artificial Intelligence · Computer Science 2013-01-07 David Maxwell Chickering , Christopher Meek

To date, most directed acyclic graphs (DAGs) structure learning approaches require data to be stored in a central server. However, due to the consideration of privacy protection, data owners gradually refuse to share their personalized raw…

Machine Learning · Computer Science 2023-01-18 Erdun Gao , Junjia Chen , Li Shen , Tongliang Liu , Mingming Gong , Howard Bondell

The process of aggregation is ubiquitous in almost all deep nets models. It functions as an important mechanism for consolidating deep features into a more compact representation, whilst increasing robustness to overfitting and providing…

Machine Learning · Computer Science 2021-07-12 Eng-Jon Ong , Sameed Husain , Miroslaw Bober

In this paper, we study a model reduction technique for leader-follower networked multi-agent systems defined on weighted, undirected graphs with arbitrary linear multivariable agent dynamics. In the network graph of this network, nodes…

Optimization and Control · Mathematics 2016-10-11 Hidde-Jan Jongsma , Petar Mlinarić , Sara Grundel , Peter Benner , Harry L. Trentelman

Bayesian networks are probabilistic graphical models widely employed to understand dependencies in high dimensional data, and even to facilitate causal discovery. Learning the underlying network structure, which is encoded as a directed…

Machine Learning · Statistics 2022-02-03 Jack Kuipers , Polina Suter , Giusi Moffa

Causal discovery, the learning of causality in a data mining scenario, has been of strong scientific and theoretical interest as a starting point to identify "what causes what?" Contingent on assumptions and a proper learning algorithm, it…

Methodology · Statistics 2022-05-23 Gabriel Ruiz , Oscar Hernan Madrid Padilla , Qing Zhou

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…

Machine Learning · Computer Science 2022-04-04 Hristo Petkov , Colin Hanley , Feng Dong

In multi-agent systems, strong connectivity of the communication network is often crucial for establishing consensus protocols, which underpin numerous applications in decision-making and distributed optimization. However, this connectivity…

Optimization and Control · Mathematics 2024-11-12 Guilherme Ramos , Diogo Poças , Sérgio Pequito

Distributed Ledger Technologies provide a mechanism to achieve ordering among transactions that are scattered on multiple participants with no prerequisite trust relations. This mechanism is essentially based on the idea of new transactions…

Probability · Mathematics 2021-10-01 Christian Mönch , Amr Rizk

Nonlinear aggregation is central to modern distributed systems, yet its privacy behavior is far less understood than that of linear aggregation. Unlike linear aggregation where mature mechanisms can often suppress information leakage,…

Signal Processing · Electrical Eng. & Systems 2026-01-21 Wenrui Yu , Jaron Skovsted Gundersen , Richard Heusdens , Qiongxiu Li

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…

A structural equation model (SEM) is an effective framework to reason over causal relationships represented via a directed acyclic graph (DAG). Recent advances have enabled effective maximum-likelihood point estimation of DAGs from…

Machine Learning · Computer Science 2021-12-07 Chris Cundy , Aditya Grover , Stefano Ermon

In this work, we are interested in structure learning for a set of spatially distributed dynamical systems, where individual subsystems are coupled via latent variables and observed through a filter. We represent this model as a directed…

Artificial Intelligence · Computer Science 2016-11-03 Oliver M. Cliff , Mikhail Prokopenko , Robert Fitch

There has been a growing interest in causal learning in recent years. Commonly used representations of causal structures, including Bayesian networks and structural equation models (SEM), take the form of directed acyclic graphs (DAGs). We…

Machine Learning · Computer Science 2025-11-20 Pavel Rytir , Ales Wodecki , Jakub Marecek

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

We consider several estimation and learning problems that networked agents face when making decisions given their uncertainty about an unknown variable. Our methods are designed to efficiently deal with heterogeneity in both size and…

Applications · Statistics 2016-11-11 M. Amin Rahimian , Ali Jadbabaie

Bayesian network is a frequently-used method for fault detection and diagnosis in industrial processes. The basis of Bayesian network is structure learning which learns a directed acyclic graph (DAG) from data. However, the search space…

Artificial Intelligence · Computer Science 2023-02-07 Zhichao Chen , Zhiqiang Ge

Modern deep neural networks (DNNs) are typically trained with a global cross-entropy loss in a supervised end-to-end manner: neurons need to store their outgoing weights; training alternates between a forward pass (computation) and a…

Machine Learning · Computer Science 2025-11-03 Shuyan Lyu , Zhanzimo Wu , Junliang Du