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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…

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…

机器学习 · 计算机科学 2021-12-07 Chris Cundy , Aditya Grover , Stefano Ermon

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…

机器学习 · 计算机科学 2025-11-20 Pavel Rytir , Ales Wodecki , Jakub Marecek

We consider the problem of learning the underlying causal structure among a set of variables, which are assumed to follow a Bayesian network or, more specifically, a linear recursive structural equation model (SEM) with the associated…

统计理论 · 数学 2025-08-05 Anamitra Chaudhuri , Anirban Bhattacharya , Yang Ni

We consider the problem of jointly estimating multiple related directed acyclic graph (DAG) models based on high-dimensional data from each graph. This problem is motivated by the task of learning gene regulatory networks based on gene…

统计理论 · 数学 2020-06-30 Yuhao Wang , Santiago Segarra , Caroline Uhler

A growing number of applications like probabilistic machine learning, sparse linear algebra, robotic navigation, etc., exhibit irregular data flow computation that can be modeled with directed acyclic graphs (DAGs). The irregularity arises…

硬件体系结构 · 计算机科学 2022-10-25 Nimish Shah , Wannes Meert , Marian Verhelst

Directed acyclic graphical models, or DAG models, are widely used to represent complex causal systems. Since the basic task of learning such a model from data is NP-hard, a standard approach is greedy search over the space of directed…

统计理论 · 数学 2021-06-09 Liam Solus , Yuhao Wang , Caroline Uhler

We propose a novel score-based approach to learning a directed acyclic graph (DAG) from observational data. We adapt a recently proposed continuous constrained optimization formulation to allow for nonlinear relationships between variables…

机器学习 · 计算机科学 2020-02-19 Sébastien Lachapelle , Philippe Brouillard , Tristan Deleu , Simon Lacoste-Julien

Graphical models based on Directed Acyclic Graphs (DAGs) are widely used to answer causal questions across a variety of scientific and social disciplines. However, observational data alone cannot distinguish in general between DAGs…

统计方法学 · 统计学 2022-06-03 Federico Castelletti , Guido Consonni

The PC algorithm uses conditional independence tests for model selection in graphical modeling with acyclic directed graphs. In Gaussian models, tests of conditional independence are typically based on Pearson correlations, and…

统计理论 · 数学 2012-07-03 Naftali Harris , Mathias Drton

With the rapid advancement of Artificial Intelligence, the Graphics Processing Unit (GPU) has become increasingly essential across a growing number of safety-critical application domains. Applying a GPU is indispensable for parallel…

操作系统 · 计算机科学 2026-02-25 Yuanhai Zhang , Songyang He , Ruizhe Gou , Mingyue Cui , Boyang Li , Shuai Zhao , Kai Huang

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…

分布式、并行与集群计算 · 计算机科学 2019-01-10 Jiahao He , Guangju Wang , Guangyuan Zhang , Jiheng Zhang

Distributed parameter estimation for large-scale systems is an active research problem. The goal is to derive a distributed algorithm in which each agent obtains a local estimate of its own subset of the global parameter vector, based on…

多智能体系统 · 计算机科学 2018-06-26 Tianju Sui , Damián Marelli , Minyue Fu , Renquan Lu

In multivariate time series analysis, understanding the underlying causal relationships among variables is often of interest for various applications. Directed acyclic graphs (DAGs) provide a powerful framework for representing causal…

统计方法学 · 统计学 2025-07-30 Arkaprava Roy , Anindya Roy , Subhashis Ghosal

The PC and FCI algorithms are popular constraint-based methods for learning the structure of directed acyclic graphs (DAGs) in the absence and presence of latent and selection variables, respectively. These algorithms (and their…

统计方法学 · 统计学 2022-03-14 Shubhadeep Chakraborty , Ali Shojaie

Acyclic and cyclic orientations of an undirected graph have been widely studied for their importance: an orientation is acyclic if it assigns a direction to each edge so as to obtain a directed acyclic graph (DAG) with the same vertex set;…

数据结构与算法 · 计算机科学 2015-06-22 Alessio Conte , Roberto Grossi , Andrea Marino , Romeo Rizzi

Probabilistic circuits (PCs) represent a probability distribution as a computational graph. Enforcing structural properties on these graphs guarantees that several inference scenarios become tractable. Among these properties, structured…

机器学习 · 计算机科学 2020-09-03 Meihua Dang , Antonio Vergari , Guy Van den Broeck

We prove that the true underlying directed acyclic graph (DAG) in Gaussian linear structural equation models is identifiable as the minimum-trace DAG when the error variances are weakly increasing with respect to the true causal ordering.…

统计计算 · 统计学 2025-08-11 Hyunwoong Chang , Jaehoan Kim

We develop estimation for potentially high-dimensional additive structural equation models. A key component of our approach is to decouple order search among the variables from feature or edge selection in a directed acyclic graph encoding…

统计方法学 · 统计学 2014-12-02 Peter Bühlmann , Jonas Peters , Jan Ernest

We introduce a new method to estimate the Markov equivalence class of a directed acyclic graph (DAG) in the presence of hidden variables, in settings where the underlying DAG among the observed variables is sparse, and there are a few…

统计方法学 · 统计学 2018-08-07 Benjamin Frot , Preetam Nandy , Marloes H. Maathuis