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Causal discovery is a fundamental problem with applications spanning various areas in science and engineering. It is well understood that solely using observational data, one can only orient the causal graph up to its Markov equivalence…

Machine Learning · Computer Science 2024-10-29 Zihan Zhou , Muhammad Qasim Elahi , Murat Kocaoglu

We study the problem of experimental design for accurately identifying the causal graph structure of a simple structural causal model (SCM), where the underlying graph may include both cycles and bidirected edges induced by latent…

Machine Learning · Statistics 2025-09-03 Haijie Xu , Chen Zhang

Multi-modal neuroimaging technology has greatlly facilitated the efficiency and diagnosis accuracy, which provides complementary information in discovering objective disease biomarkers. Conventional deep learning methods, e.g. convolutional…

Image and Video Processing · Electrical Eng. & Systems 2022-10-26 Yanwu Yang , Xutao Guo , Zhikai Chang , Chenfei Ye , Yang Xiang , Ting Ma

As brain-computer interfacing (BCI) systems transition from assistive technology to more diverse applications, their speed, reliability, and user experience become increasingly important. Dynamic stopping methods enhance BCI system speed by…

Human-Computer Interaction · Computer Science 2024-06-18 Sara Ahmadi , Peter Desain , Jordy Thielen

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…

Applications · Statistics 2022-03-22 Jong-Hyeon Jeong , Yichen Jia

Discovering the underlying Directed Acyclic Graph (DAG) from time series observational data is highly challenging due to the dynamic nature and complex nonlinear interactions between variables. Existing methods typically search for the…

Machine Learning · Computer Science 2025-03-21 Jiajun Zhang , Boyang Qiang , Xiaoyu Guo , Weiwei Xing , Yue Cheng , Witold Pedrycz

We consider the problem of learning the structure of a causal directed acyclic graph (DAG) model in the presence of latent variables. We define latent factor causal models (LFCMs) as a restriction on causal DAG models with latent variables,…

Methodology · Statistics 2022-07-06 Chandler Squires , Annie Yun , Eshaan Nichani , Raj Agrawal , Caroline Uhler

Causal inference is a critical task across fields such as healthcare, economics, and the social sciences. While recent advances in machine learning, especially those based on the deep-learning architectures, have shown potential in…

Machine Learning · Statistics 2024-12-30 Manqing Liu , David R. Bellamy , Andrew L. Beam

Identifying a coupled dynamical system out of many plausible candidates, each of which could serve as the underlying generator of some observed measurements, is a profoundly ill posed problem that commonly arises when modelling real world…

Neurons and Cognition · Quantitative Biology 2019-09-17 Amirhossein Jafarian , Peter Zeidman , Vladimir Litvak , Karl Friston

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…

Machine Learning · Computer Science 2024-06-21 Panagiotis Misiakos , Chris Wendler , Markus Püschel

Recovering the underlying Directed Acyclic Graph (DAG) structures from observational data presents a formidable challenge, partly due to the combinatorial nature of the DAG-constrained optimization problem. Recently, researchers have…

Machine Learning · Computer Science 2025-03-26 Zhen Zhang , Ignavier Ng , Dong Gong , Yuhang Liu , Mingming Gong , Biwei Huang , Kun Zhang , Anton van den Hengel , Javen Qinfeng Shi

Robust characterization of dynamic causal interactions in multivariate biomedical signals is essential for advancing computational and algorithmic methods in biomedical imaging. Conventional approaches, such as Dynamic Bayesian Networks…

Signal Processing · Electrical Eng. & Systems 2026-02-17 Farwa Abbas , Wei Dai , Zoran Cvetkovic , Verity McClelland

Resting-state functional magnetic resonance imaging (rs-fMRI) is a noninvasive technique pivotal for understanding human neural mechanisms of intricate cognitive processes. Most rs-fMRI studies compute a single static functional…

Neurons and Cognition · Quantitative Biology 2025-02-25 Bishal Thapaliya , Robyn Miller , Jiayu Chen , Yu-Ping Wang , Esra Akbas , Ram Sapkota , Bhaskar Ray , Pranav Suresh , Santosh Ghimire , Vince Calhoun , Jingyu Liu

This paper explores the discrete Dynamic Causal Modeling (DDCM) and its relationship with Directed Information (DI). We prove the conditional equivalence between DDCM and DI in characterizing the causal relationship between two brain…

Neurons and Cognition · Quantitative Biology 2017-09-20 Zhe Wang , Yu Zheng , David C. Zhu , Jian Ren , Tongtong Li

Brain-computer interfaces (BCIs) have enabled prosthetic device control by decoding motor movements from neural activities. Neural signals recorded from cortex exhibit nonstationary property due to abrupt noises and neuroplastic changes in…

Signal Processing · Electrical Eng. & Systems 2019-11-05 Yu Qi , Bin Liu , Yueming Wang , Gang Pan

This tutorial provides a worked example of using Dynamic Causal Modelling (DCM) and Parametric Empirical Bayes (PEB) to characterise inter-subject variability in neural circuitry (effective connectivity). This involves specifying a…

Quantitative Methods · Quantitative Biology 2019-07-15 Peter Zeidman , Amirhossein Jafarian , Mohamed L. Seghier , Vladimir Litvak , Hayriye Cagnan , Cathy J. Price , Karl J. Friston

We introduce Dagma-DCE, an interpretable and model-agnostic scheme for differentiable causal discovery. Current non- or over-parametric methods in differentiable causal discovery use opaque proxies of ``independence'' to justify the…

Machine Learning · Computer Science 2024-02-05 Daniel Waxman , Kurt Butler , Petar M. Djuric

Effective connectivity analysis provides an understanding of the functional organization of the brain by studying how activated regions influence one other. We propose a nonparametric Bayesian approach to model effective connectivity…

Applications · Statistics 2011-07-22 Sourabh Bhattacharya , Ranjan Maitra

Assuming a directed acyclic graph (DAG) that represents prior knowledge of causal relationships between variables is a common starting point for cause-effect estimation. Existing literature typically invokes hypothetical domain expert…

Machine Learning · Statistics 2025-03-11 Kirtan Padh , Zhufeng Li , Cecilia Casolo , Niki Kilbertus

Brain connectivity analysis based on magnetic resonance imaging is crucial for understanding neurological mechanisms. However, edge-based connectivity inference faces significant challenges, particularly the curse of dimensionality when…

Methodology · Statistics 2025-12-23 Zijing Li , Chenhao Zeng , Shufei Ge
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