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Granger causality is a widely-used criterion for analyzing interactions in large-scale networks. As most physical interactions are inherently nonlinear, we consider the problem of inferring the existence of pairwise Granger causality…

Machine Learning · Computer Science 2020-01-15 Saurabh Khanna , Vincent Y. F. Tan

Deep neural networks are known to suffer from exploding or vanishing gradients as depth increases, a phenomenon closely tied to the spectral behavior of the input-output Jacobian. Prior work has identified critical initialization schemes…

Machine Learning · Computer Science 2025-11-25 Benjamin Dadoun , Soufiane Hayou , Hanan Salam , Mohamed El Amine Seddik , Pierre Youssef

A fundamental challenge in causal inference with observational data is correct specification of a causal model. When there is model uncertainty, analysts may seek to use estimates from multiple candidate models that rely on distinct, and…

Methodology · Statistics 2026-03-03 Rohit Bhattacharya , Ina Ocelli , Ted Westling

Robust classification becomes challenging when each class consists of multiple subclasses. Examples include multi-font optical character recognition and automated protein function prediction. In correlation-based nearest-neighbor…

Computer Vision and Pattern Recognition · Computer Science 2016-11-18 Taehoon Lee , Taesup Moon , Seung Jean Kim , Sungroh Yoon

Causal dynamics learning has recently emerged as a promising approach to enhancing robustness in reinforcement learning (RL). Typically, the goal is to build a dynamics model that makes predictions based on the causal relationships among…

Machine Learning · Computer Science 2024-06-06 Inwoo Hwang , Yunhyeok Kwak , Suhyung Choi , Byoung-Tak Zhang , Sanghack Lee

We propose a new framework for assessing Granger causality in quantiles in unstable environments, for a fixed quantile or over a continuum of quantile levels. Our proposed test statistics are consistent against fixed alternatives, they have…

Econometrics · Economics 2024-12-09 Alexander Mayer , Dominik Wied , Victor Troster

Knowledge graph completion (KGC) has attracted considerable attention in recent years because it is critical to improving the quality of knowledge graphs. Researchers have continuously explored various models. However, most previous efforts…

Machine Learning · Computer Science 2025-05-30 Linyu Li , Zhi Jin , Yuanpeng He , Dongming Jin , Haoran Duan , Zhengwei Tao , Xuan Zhang , Jiandong Li

Recovering a low rank matrix from a subset of its entries, some of which may be corrupted, is known as the robust matrix completion (RMC) problem. Existing RMC methods have several limitations: they require a relatively large number of…

Machine Learning · Computer Science 2025-12-16 Eilon Vaknin Laufer , Boaz Nadler

Deep neural networks (DNNs) are known to be vulnerable to adversarial examples that are crafted with imperceptible perturbations, i.e., a small change in an input image can induce a mis-classification, and thus threatens the reliability of…

Machine Learning · Computer Science 2022-11-15 Deyin Liu , Lin Wu , Haifeng Zhao , Farid Boussaid , Mohammed Bennamoun , Xianghua Xie

Granger causality analysis (GCA) provides a powerful tool for uncovering the patterns of brain connectivity mechanism using neuroimaging techniques. Conventional GCA applies two different mathematical theories in a two-stage scheme: (1) the…

Methodology · Statistics 2020-04-28 Fei Li , Xuewei Wang , Qiang Lin , Zhenghui Hu

In the study of complex physical and biological systems represented by multivariate stochastic processes, an issue of great relevance is the description of the system dynamics spanning multiple temporal scales. While methods to assess the…

Methodology · Statistics 2017-11-01 Luca Faes , Giandomenico Nollo , Sebastiano Stramaglia , Daniele Marinazzo

A fundamental challenge of recommendation systems (RS) is understanding the causal dynamics underlying users' decision making. Most existing literature addresses this problem by using causal structures inferred from domain knowledge.…

Information Retrieval · Computer Science 2022-10-20 Shuyuan Xu , Da Xu , Evren Korpeoglu , Sushant Kumar , Stephen Guo , Kannan Achan , Yongfeng Zhang

It is often useful in multivariate time series analysis to determine statistical causal relations between different time series. Granger causality is a fundamental measure for this purpose. Yet the traditional pairwise approach to Granger…

Neurons and Cognition · Quantitative Biology 2007-05-23 Yonghong Chen , Steven L. Bressler , Mingzhou Ding

This reply is in response to commentaries by Barnett, Barrett, and Seth (arXiv:1708.08001) and Faes, Stramaglia, and Marinazzo (arXiv:1708.06990) on our paper entitled "A study of problems encountered in Granger causality analysis from a…

Methodology · Statistics 2017-10-02 Patrick A. Stokes , Patrick L. Purdon

Many large-scale applications can be elegantly represented using graph structures. Their scalability, however, is often limited by the domain knowledge required to apply them. To address this problem, we propose a novel Causal Temporal…

Machine Learning · Computer Science 2023-03-20 Abigail Langbridge , Fearghal O'Donncha , Amadou Ba , Fabio Lorenzi , Christopher Lohse , Joern Ploennigs

It has been shown in the literature that marijuana use is associated with changes in brain network connectivity. We propose large-scale Extended Granger Causality (lsXGC) and investigate whether it can capture such changes using…

Machine Learning · Computer Science 2021-01-07 M. Ali Vosoughi , Axel Wismuller

Regularizing the gradient norm of the output of a neural network with respect to its inputs is a powerful technique, rediscovered several times. This paper presents evidence that gradient regularization can consistently improve…

Machine Learning · Computer Science 2018-05-28 Dániel Varga , Adrián Csiszárik , Zsolt Zombori

We introduce graphical time series models for the analysis of dynamic relationships among variables in multivariate time series. The modelling approach is based on the notion of strong Granger causality and can be applied to time series…

Statistics Theory · Mathematics 2011-07-18 Michael Eichler

Feed-forward neural networks can be understood as a combination of an intermediate representation and a linear hypothesis. While most previous works aim to diversify the representations, we explore the complementary direction by performing…

Machine Learning · Computer Science 2019-10-24 Han Zhao , Yao-Hung Hubert Tsai , Ruslan Salakhutdinov , Geoffrey J. Gordon

Graph Neural Networks (GNNs) demonstrate their significance by effectively modeling complex interrelationships within graph-structured data. To enhance the credibility and robustness of GNNs, it becomes exceptionally crucial to bolster…

Machine Learning · Computer Science 2023-12-18 Hang Gao , Chengyu Yao , Jiangmeng Li , Lingyu Si , Yifan Jin , Fengge Wu , Changwen Zheng , Huaping Liu
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