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We present a graphical approach to deriving inequality constraints for directed acyclic graph (DAG) models, where some variables are unobserved. In particular we show that the observed distribution of a discrete model is always restricted…

统计理论 · 数学 2012-09-14 Robin J. Evans

This paper considers inference of causal structure in a class of graphical models called "conditional DAGs". These are directed acyclic graph (DAG) models with two kinds of variables, primary and secondary. The secondary variables are used…

统计方法学 · 统计学 2014-11-12 Chris J. Oates , Jim Q. Smith , Sach Mukherjee

In many application areas---lending, education, and online recommenders, for example---fairness and equity concerns emerge when a machine learning system interacts with a dynamically changing environment to produce both immediate and…

机器学习 · 计算机科学 2020-07-07 Elliot Creager , David Madras , Toniann Pitassi , Richard Zemel

Existing approaches to differentiable structure learning of directed acyclic graphs (DAGs) rely on strong identifiability assumptions in order to guarantee that global minimizers of the acyclicity-constrained optimization problem identifies…

机器学习 · 统计学 2024-11-28 Chang Deng , Kevin Bello , Pradeep Ravikumar , Bryon Aragam

Some temporal networks, most notably citation networks, are naturally represented as directed acyclic graphs (DAGs). To detect communities in DAGs, we propose a modularity for DAGs by defining an appropriate null model (i.e., randomized…

物理与社会 · 物理学 2015-08-13 Leo Speidel , Taro Takaguchi , Naoki Masuda

We propose a new differentiable probabilistic model over DAGs (DP-DAG). DP-DAG allows fast and differentiable DAG sampling suited to continuous optimization. To this end, DP-DAG samples a DAG by successively (1) sampling a linear ordering…

机器学习 · 计算机科学 2022-03-17 Bertrand Charpentier , Simon Kibler , Stephan Günnemann

Transformer models have recently gained popularity in graph representation learning as they have the potential to learn complex relationships beyond the ones captured by regular graph neural networks. The main research question is how to…

机器学习 · 计算机科学 2023-10-31 Yuankai Luo , Veronika Thost , Lei Shi

Identification and appropriate handling of inconsistencies in data at deployment time is crucial to reliably use machine learning models. While recent data-centric methods are able to identify such inconsistencies with respect to the…

Learning directed acyclic graph (DAG) that describes the causality of observed data is a very challenging but important task. Due to the limited quantity and quality of observed data, and non-identifiability of causal graph, it is almost…

机器学习 · 计算机科学 2022-11-23 Dezhi Yang , Guoxian Yu , Jun Wang , Zhengtian Wu , Maozu Guo

Recently, an intriguing class of non-convex optimization problems has emerged in the context of learning directed acyclic graphs (DAGs). These problems involve minimizing a given loss or score function, subject to a non-convex continuous…

机器学习 · 统计学 2023-05-30 Chang Deng , Kevin Bello , Bryon Aragam , Pradeep Ravikumar

Learning the structure of dependence relations between variables is a pervasive issue in the statistical literature. A directed acyclic graph (DAG) can represent a set of conditional independences, but different DAGs may encode the same set…

统计方法学 · 统计学 2021-02-15 Federico Castelletti , Stefano Peluso

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…

机器学习 · 统计学 2025-01-14 Jianian Wang , Rui Song

Directed acyclic graph (DAG) tasks are currently adopted in the real-time domain to model complex applications from the automotive, avionics, and industrial domains that implement their functionalities through chains of intercommunicating…

机器学习 · 计算机科学 2024-01-12 Binqi Sun , Mirco Theile , Ziyuan Qin , Daniele Bernardini , Debayan Roy , Andrea Bastoni , Marco Caccamo

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…

机器学习 · 统计学 2022-02-03 Jack Kuipers , Polina Suter , Giusi Moffa

We propose a method to identify nonlinear acyclic networks in continuous time when the dynamics are located on the edges and all the nodes are excited. We show that it is necessary and sufficient to measure all the sinks to identify any…

最优化与控制 · 数学 2026-03-05 Ramachandran Anantharaman , Renato Vizuete , Julien M. Hendrickx , Alexandre Mauroy

We study a distributed learning problem in which learning agents are embedded in a directed acyclic graph (DAG). There is a fixed and arbitrary distribution over feature/label pairs, and each agent or vertex in the graph is able to directly…

机器学习 · 计算机科学 2025-10-13 Michael Kearns , Aaron Roth , Emily Ryu

We establish finite-sample guarantees for a polynomial-time algorithm for learning a nonlinear, nonparametric directed acyclic graphical (DAG) model from data. The analysis is model-free and does not assume linearity, additivity,…

机器学习 · 统计学 2020-11-12 Ming Gao , Yi Ding , Bryon Aragam

Causal structure learning from observational data remains a non-trivial task due to various factors such as finite sampling, unobserved confounding factors, and measurement errors. Constraint-based and score-based methods tend to suffer…

机器学习 · 计算机科学 2022-11-09 Rezaur Rashid , Jawad Chowdhury , Gabriel Terejanu

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

Regularization improves generalization of supervised models to out-of-sample data. Prior works have shown that prediction in the causal direction (effect from cause) results in lower testing error than the anti-causal direction. However,…

机器学习 · 计算机科学 2020-09-29 Trent Kyono , Yao Zhang , Mihaela van der Schaar