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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

Recursive linear structural equation models are widely used to postulate causal mechanisms underlying observational data. In these models, each variable equals a linear combination of a subset of the remaining variables plus an error term.…

统计理论 · 数学 2022-03-21 F. Richard Guo , Emilija Perković

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…

Principled reasoning about the identifiability of causal effects from non-experimental data is an important application of graphical causal models. This paper focuses on effects that are identifiable by covariate adjustment, a commonly used…

人工智能 · 计算机科学 2019-01-25 Benito van der Zander , Maciej Liśkiewicz , Johannes Textor

Scientific workflows are often represented as directed acyclic graphs (DAGs), where vertices correspond to tasks and edges represent the dependencies between them. Since these graphs are often large in both the number of tasks and their…

分布式、并行与集群计算 · 计算机科学 2024-07-15 Svetlana Kulagina , Henning Meyerhenke , Anne Benoit

We consider distributions arising from a mixture of causal models, where each model is represented by a directed acyclic graph (DAG). We provide a graphical representation of such mixture distributions and prove that this representation…

机器学习 · 统计学 2020-08-11 Basil Saeed , Snigdha Panigrahi , Caroline Uhler

Deep learning (DL) has recently drawn much attention in image analysis, natural language process, and high-dimensional medical data analysis. Under the causal direct acyclic graph (DAG) interpretation, the input variables without incoming…

应用统计 · 统计学 2022-03-22 Jong-Hyeon Jeong , Yichen Jia

Bayesian networks, with structure given by a directed acyclic graph (DAG), are a popular class of graphical models. However, learning Bayesian networks from discrete or categorical data is particularly challenging, due to the large…

统计方法学 · 统计学 2018-02-06 Jiaying Gu , Fei Fu , Qing Zhou

We study the problem of reducing test-time acquisition costs in classification systems. Our goal is to learn decision rules that adaptively select sensors for each example as necessary to make a confident prediction. We model our system as…

机器学习 · 统计学 2015-10-27 Joseph Wang , Kirill Trapeznikov , Venkatesh Saligrama

We introduce a new Collaborative Causal Discovery problem, through which we model a common scenario in which we have multiple independent entities each with their own causal graph, and the goal is to simultaneously learn all these causal…

机器学习 · 计算机科学 2021-06-08 Raghavendra Addanki , Shiva Prasad Kasiviswanathan

This paper addresses the problem of estimating causal directed acyclic graphs in linear non-Gaussian acyclic models with latent confounders (LvLiNGAM). Existing methods assume mutually independent latent confounders or cannot properly…

机器学习 · 计算机科学 2025-10-17 Ming Cai , Penggang Gao , Hisayuki Hara

We present a novel perspective and algorithm for learning directed acyclic graphs (DAGs) from data generated by a linear structural equation model (SEM). First, we show that a linear SEM can be viewed as a linear transform that, in prior…

机器学习 · 计算机科学 2024-06-21 Panagiotis Misiakos , Chris Wendler , Markus Püschel

Recursive linear structural equation models and the associated directed acyclic graphs (DAGs) play an important role in causal discovery. The classic identifiability result for this class of models states that when only observational data…

统计理论 · 数学 2023-08-21 Jun Wu , Mathias Drton

Identifying causal relations among multi-variate time series is one of the most important elements towards understanding the complex mechanisms underlying the dynamic system. It provides critical tools for forecasting, simulations and…

机器学习 · 计算机科学 2023-02-22 Yang Sun , Yifan Xie

Probabilistic inference in graphical models is the task of computing marginal and conditional densities of interest from a factorized representation of a joint probability distribution. Inference algorithms such as variable elimination and…

机器学习 · 计算机科学 2012-02-20 Ilya Shpitser , Thomas S. Richardson , James M. Robins

The feed-forward relationship naturally observed in time-dependent processes and in a diverse number of real systems -such as some food-webs and electronic and neural wiring- can be described in terms of so-called directed acyclic graphs…

物理与社会 · 物理学 2015-05-19 Joaquín Goñi , Bernat Corominas-Murtra , Ricard V. Solé , Carlos Rodríguez-Caso

Conditional independence models associated with directed acyclic graphs (DAGs) may be characterized in at least three different ways: via a factorization, the global Markov property (given by the d-separation criterion), and the local…

统计方法学 · 统计学 2023-09-27 Thomas S. Richardson , Robin J. Evans , James M. Robins , Ilya Shpitser

In the estimation of causal effects, one common method for removing the influence of confounders is to adjust the variables that satisfy the back-door criterion. However, it is not always possible to uniquely determine sets of such…

机器学习 · 计算机科学 2025-02-06 Atsushi Noda , Takashi Isozaki

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…

机器学习 · 计算机科学 2021-07-02 Pierre Gillot , Pekka Parviainen

Quantifying causal effects of exposures on outcomes, such as a treatment and a disease respectively, is a crucial issue in medical science for the administration of effective therapies. Importantly, any related causal analysis should…

统计方法学 · 统计学 2024-09-04 Federico Castelletti , Laura Ferrini