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Gene regulatory relationships can be abstracted as a gene regulatory network (GRN), which plays a key role in characterizing complex cellular processes and pathways. Recently, graph neural networks (GNNs), as a class of deep learning…

Molecular Networks · Quantitative Biology 2023-11-07 Hui Zhang , Xuexin An , Qiang He , Yudong Yao , Yudong Zhang , Feng-Lei Fan , Yueyang Teng

We introduce large-scale Augmented Granger Causality (lsAGC) as a method for connectivity analysis in complex systems. The lsAGC algorithm combines dimension reduction with source time-series augmentation and uses predictive time-series…

Neurons and Cognition · Quantitative Biology 2021-01-26 Axel Wismuller , M. Ali Vosoughi

Granger causality is a statistical notion of causal influence based on prediction via vector autoregression. For Gaussian variables it is equivalent to transfer entropy, an information-theoretic measure of time-directed information transfer…

Quantitative Methods · Quantitative Biology 2021-02-17 Sebastiano Stramaglia , Tomas Scagliarini , Yuri Antonacci , Luca Faes

Stochastic Gradient Descent (SGD) is the main approach to optimizing neural networks. Several generalization properties of deep networks, such as convergence to a flatter minima, are believed to arise from SGD. This article explores the…

Machine Learning · Computer Science 2024-12-05 Aditya Shah , Aditya Challa , Sravan Danda , Archana Mathur , Snehanshu Saha

Quantitative analysis of large-scale data is often complicated by the presence of diverse subgroups, which reduce the accuracy of inferences they make on held-out data. To address the challenge of heterogeneous data analysis, we introduce…

Machine Learning · Computer Science 2021-09-01 Nazanin Alipourfard , Keith Burghardt , Kristina Lerman

Multi-relational graphs (MRGs) are an expressive data structure for modeling diverse interactions/relations among real objects (i.e., nodes), which pervade extensive applications and scenarios. Given an MRG G with N nodes, partitioning the…

Machine Learning · Computer Science 2025-08-26 Xiaoyang Lin , Runhao Jiang , Renchi Yang

Wiener and Granger have introduced an intuitive concept of causality between two variables which is based on the idea that an effect never occurs before its cause. Later, Geweke has generalized this concept to a multivariate Granger…

It becomes increasingly popular to perform mediation analysis for complex data from sophisticated experimental studies. In this paper, we present Granger Mediation Analysis (GMA), a new framework for causal mediation analysis of multiple…

Methodology · Statistics 2017-09-18 Yi Zhao , Xi Luo

Concepts of Granger causality (GC) and Granger autonomy (GA) are central to assess the dynamics of coupled physiologic processes. While causality measures have been already proposed and applied in time and frequency domains, measures…

Signal Processing · Electrical Eng. & Systems 2023-07-20 Laura Sparacino , Yuri Antonacci , Chiara Barà , Angela Valenti , Alberto Porta , Luca Faes

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

Efficient low-variance gradient estimation enabled by the reparameterization trick (RT) has been essential to the success of variational autoencoders. Doubly-reparameterized gradients (DReGs) improve on the RT for multi-sample variational…

Machine Learning · Statistics 2021-07-14 Matthias Bauer , Andriy Mnih

Dynamic Graph Neural Networks (DGNNs) have emerged as the predominant approach for processing dynamic graph-structured data. However, the influence of temporal information on model performance and robustness remains insufficiently explored,…

Machine Learning · Computer Science 2023-11-27 Xiangjian Jiang , Yanyi Pu

Knowledge tracing (KT) is a crucial task in intelligent education, focusing on predicting students' performance on given questions to trace their evolving knowledge. The advancement of deep learning in this field has led to deep-learning…

Artificial Intelligence · Computer Science 2024-06-21 Jiajun Cui , Hong Qian , Bo Jiang , Wei Zhang

Estimating causal effects from observational network data faces dual challenges of network interference and unmeasured confounding. To address this, we propose a general Difference-in-Differences framework that integrates double negative…

Econometrics · Economics 2026-01-05 Zihan Zhang , Lianyan Fu , Dehui Wang

Driven by recent advances in sensing and computing, deep reinforcement learning (DRL) technologies have shown great potential for addressing distribution system restoration (DSR) under uncertainty. However, their data-intensive nature and…

Systems and Control · Electrical Eng. & Systems 2025-08-20 Hong Zhao , Jin Wei-Kocsis , Adel Heidari Akhijahani , Karen L Butler-Purry

Randomized controlled trials (RCTs) are widely regarded as the gold standard for causal inference in biomedical research. For instance, when estimating the average treatment effect on the treated (ATT), a doubly robust estimation procedure…

Methodology · Statistics 2025-09-26 Chi-Shian Dai , Chao Ying , Yang Ning , Jiwei Zhao

The Dunnett procedure compares several treatment or dose groups with a control group, while controlling the familywise error rate. When deviations from the normal distribution and heterogeneous variances occur, the nominal $\alpha$ level…

Applications · Statistics 2019-05-07 Ludwig A. Hothorn , Felix M. Kluxen

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

Ensuring both accuracy and robustness in time series prediction is critical to many applications, ranging from urban planning to pandemic management. With sufficient training data where all spatiotemporal patterns are well-represented,…

Machine Learning · Computer Science 2024-04-02 Yue Sun , Chao Chen , Yuesheng Xu , Sihong Xie , Rick S. Blum , Parv Venkitasubramaniam

Randomized controlled trials (RCTs) are the standard for evaluating the effectiveness of clinical interventions. To address the limitations of RCTs on real-world populations, we developed a methodology that uses a large observational…

Machine Learning · Computer Science 2024-10-21 Panayiotis Petousis , David Gordon , Susanne B. Nicholas , Alex A. T. Bui