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This review systematizes the emerging literature for causal inference using deep neural networks under the potential outcomes framework. It provides an intuitive introduction on how deep learning can be used to estimate/predict…

Machine Learning · Computer Science 2023-11-30 Bernard Koch , Tim Sainburg , Pablo Geraldo , Song Jiang , Yizhou Sun , Jacob Gates Foster

Failures in complex systems often emerge through gradual degradation and the propagation of stress across interacting components rather than through isolated shocks. Democratic systems exhibit similar dynamics, where weakening institutions…

Machine Learning · Computer Science 2026-05-18 Dmitry Zaytsev , Valentina Kuskova , Michael Coppedge

Despite their success and widespread adoption, the opaque nature of deep neural networks (DNNs) continues to hinder trust, especially in critical applications. Current interpretability solutions often yield inconsistent or oversimplified…

Machine Learning · Computer Science 2024-10-10 Alec F. Diallo , Vaishak Belle , Paul Patras

Causal discovery (CD) from time-varying data is important in neuroscience, medicine, and machine learning. Techniques for CD encompass randomized experiments, which are generally unbiased but expensive, and algorithms such as Granger…

Machine Learning · Computer Science 2023-10-11 Xinyue Wang , Konrad Paul Kording

Recent work has shown promising results in causal discovery by leveraging interventional data with gradient-based methods, even when the intervened variables are unknown. However, previous work assumes that the correspondence between…

Machine Learning · Computer Science 2022-07-12 Gonçalo R. A. Faria , André F. T. Martins , Mário A. T. Figueiredo

Understanding causal relationships in multivariate time series is essential for predicting and controlling dynamic systems in fields like economics, neuroscience, and climate science. However, existing causal discovery methods often assume…

Machine Learning · Computer Science 2025-02-20 Abdellah Rahmani , Pascal Frossard

An acyclic causal structure can be described with directed acyclic graph (DAG), where arrows indicate the possibility of direct causation. The task of learning this structure from data is known as "causal discovery." Diverse populations or…

Machine Learning · Computer Science 2024-10-17 Bijan Mazaheri , Spencer Gordon , Yuval Rabani , Leonard Schulman

Understanding causal relationships between variables is fundamental across scientific disciplines. Most causal discovery algorithms rely on two key assumptions: (i) all variables are observed, and (ii) the underlying causal graph is…

Machine Learning · Computer Science 2026-01-26 Muralikrishnna G. Sethuraman , Faramarz Fekri

Deep neural networks (DNNs) have demonstrated remarkable empirical performance in large-scale supervised learning problems, particularly in scenarios where both the sample size $n$ and the dimension of covariates $p$ are large. This study…

Machine Learning · Statistics 2024-07-12 Yuqian Zhang , Jelena Bradic

Dynamic causal discovery in wireless networks is essential due to evolving interference, fading, and mobility, which complicate traditional static causal models. This paper addresses causal inference challenges in dynamic fading wireless…

Machine Learning · Computer Science 2025-11-11 Oluwaseyi Giwa

Causal models seek to unravel the cause-effect relationships among variables from observed data, as opposed to mere mappings among them, as traditional regression models do. This paper introduces a novel causal discovery algorithm designed…

Machine Learning · Computer Science 2024-10-03 Saeed Mohseni-Sehdeh , Walid Saad

In this paper, we develop a generic methodology to encode hierarchical causality structure among observed variables into a neural network in order to improve its predictive performance. The proposed methodology, called causality-informed…

Machine Learning · Computer Science 2024-12-25 Xiaoge Zhang , Xiao-Lin Wang , Fenglei Fan , Yiu-Ming Cheung , Indranil Bose

Causal inference permits us to discover covert relationships of various variables in time series. However, in most existing works, the variables mentioned above are the dimensions. The causality between dimensions could be cursory, which…

Machine Learning · Computer Science 2023-09-14 Yuanhao Liu , Dehui Du , Zihan Jiang , Anyan Huang , Yiyang Li

Causal discovery has been widely studied, yet many existing methods rely on strong assumptions or fall into two extremes: either depending on costly interventional signals or partial ground truth as strong priors, or adopting purely data…

Machine Learning · Computer Science 2026-03-24 Wenbo Xu , Yue He , Yunhai Wang , Xingxuan Zhang , Kun Kuang , Yueguo Chen , Peng Cui

Causal learning has garnered significant attention in recent years because it reveals the essential relationships that underpin phenomena and delineates the mechanisms by which the world evolves. Nevertheless, traditional causal learning…

Machine Learning · Computer Science 2024-07-31 Zizhen Deng , Xiaolong Zheng , Hu Tian , Daniel Dajun Zeng

Causal interactions in time series networks can be dynamic and nonlinear, making it difficult to identify them using conventional linear causality estimations. We propose a novel approach, called Threshold Autoregressive Modeling for…

Applications · Statistics 2025-09-19 Sipan Aslan , Hernando Ombao

Understanding causality helps to structure interventions to achieve specific goals and enables predictions under interventions. With the growing importance of learning causal relationships, causal discovery tasks have transitioned from…

Machine Learning · Computer Science 2022-09-15 Hang Chen , Keqing Du , Xinyu Yang , Chenguang Li

We reveal that transformers trained in an autoregressive manner naturally encode time-delayed causal structures in their learned representations. When predicting future values in multivariate time series, the gradient sensitivities of…

Machine Learning · Computer Science 2026-01-12 Xinyue Wang , Stephen Wang , Biwei Huang

We are not only observers but also actors of reality. Our capability to intervene and alter the course of some events in the space and time surrounding us is an essential component of how we build our model of the world. In this doctoral…

Artificial Intelligence · Computer Science 2023-09-19 Gilles Blondel

Structural causal models postulate noisy functional relations among a set of interacting variables. The causal structure underlying each such model is naturally represented by a directed graph whose edges indicate for each variable which…

Statistics Theory · Mathematics 2022-03-15 David Strieder , Tobias Freidling , Stefan Haffner , Mathias Drton