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Healthcare artificial intelligence systems often degrade in performance when deployed across institutions, with documented performance drops and perpetuation of discriminatory patterns embedded in data. This brittleness comes, in part, from…

Machine Learning · Computer Science 2026-03-30 Munib Mesinovic , Max Buhlan , Tingting Zhu

Complex systems and relational data are often abstracted as dynamical processes on networks. To understand, predict and control their behavior, a crucial step is to extract reduced descriptions of such networks. Inspired by notions from…

Social and Information Networks · Computer Science 2019-06-26 Michael T. Schaub , Jean-Charles Delvenne , Renaud Lambiotte , Mauricio Barahona

Our understanding of a variety of phenomena in physics, biology and economics crucially depends on the analysis of multivariate time series. While a wide range of tools and techniques for time series analysis already exist, the increasing…

Physics and Society · Physics 2015-10-27 Lucas Lacasa , Vincenzo Nicosia , Vito Latora

The dynamic characteristics of multiphase industrial processes present significant challenges in the field of industrial big data modeling. Traditional soft sensing models frequently neglect the process dynamics and have difficulty in…

Machine Learning · Computer Science 2024-07-09 Yimeng He , Le Yao , Xinmin Zhang , Xiangyin Kong , Zhihuan Song

Inferring linear dependence between time series is central to our understanding of natural and artificial systems. Unfortunately, the hypothesis tests that are used to determine statistically significant directed or multivariate…

Methodology · Statistics 2021-02-24 Oliver M. Cliff , Leonardo Novelli , Ben D. Fulcher , James M. Shine , Joseph T. Lizier

As neuroscientists we want to understand how causal interactions or mechanisms within the brain give rise to perception, cognition, and behavior. It is typical to estimate interaction effects from measured activity using statistical…

Neurons and Cognition · Quantitative Biology 2020-10-26 David Marc Anton Mehler , Konrad Paul Kording

This paper indicates causality as the tool that unifies the analysis of both activations and connectivity of brain areas, obtained with fMRI data. Causality analysis is commonly applied to study connectivity, so this work focuses on…

Methodology · Statistics 2011-02-25 Nevio Dubbini

A new method is proposed to compute connectivity measures on multivariate time series with gaps. Rather than removing or filling the gaps, the rows of the joint data matrix containing empty entries are removed and the calculations are done…

Methodology · Statistics 2015-05-04 G. Papadopoulos , D. Kugiumtzis

The emergent dynamics of complex systems often arise from the internal dynamical interactions among different elements and hence is to be modeled using multiple variables that represent the different dynamical processes. When such systems…

Chaotic Dynamics · Physics 2024-11-05 Shivam Kumar , R. Misra , G. Ambika

We study the problem of automatically discovering Granger causal relations from observational multivariate time-series data.Vector autoregressive (VAR) models have been time-tested for this problem, including Bayesian variants and more…

Machine Learning · Computer Science 2024-05-27 He Zhao , Vassili Kitsios , Terence J. O'Kane , Edwin V. Bonilla

Causality is crucial to understanding the mechanisms behind complex systems and making decisions that lead to intended outcomes. Event sequence data is widely collected from many real-world processes, such as electronic health records, web…

Artificial Intelligence · Computer Science 2020-11-20 Zhuochen Jin , Shunan Guo , Nan Chen , Daniel Weiskopf , David Gotz , Nan Cao

We study the problem of learning Granger causality between event types from asynchronous, interdependent, multi-type event sequences. Existing work suffers from either limited model flexibility or poor model explainability and thus fails to…

Machine Learning · Computer Science 2020-02-20 Wei Zhang , Thomas Kobber Panum , Somesh Jha , Prasad Chalasani , David Page

Understanding which parts of a dynamical system cause each other is extremely relevant in fundamental and applied sciences. However, inferring causal links from observational data, namely without direct manipulations of the system, is still…

Data Analysis, Statistics and Probability · Physics 2025-06-27 Matteo Allione , Vittorio Del Tatto , Alessandro Laio

Classical causal models, such as Granger causality and structural equation modeling, are largely restricted to acyclic interactions and struggle to represent cyclic and higher-order dynamics in complex networks. We introduce a causal…

Neurons and Cognition · Quantitative Biology 2026-04-21 Moo K. Chung , D. Vijay Anand , Anass B El-Yaagoubi , Jae-Hun Jung , Anqi Qiu , Hernando Ombao

This paper considers joint learning of multiple sparse Granger graphical models to discover underlying common and differential Granger causality (GC) structures across multiple time series. This can be applied to drawing group-level brain…

Machine Learning · Computer Science 2021-05-25 Parinthorn Manomaisaowapak , Jitkomut Songsiri

How should researchers analyze randomized experiments in which the main outcome is latent and measured in multiple ways but each measure contains some degree of error? We first identify a critical study-specific noncomparability problem in…

Econometrics · Economics 2026-01-13 Jiawei Fu , Donald P. Green

We present Causal Generative Neural Networks (CGNNs) to learn functional causal models from observational data. CGNNs leverage conditional independencies and distributional asymmetries to discover bivariate and multivariate causal…

Objective: This study proposes a new parametric TF (time frequency) CGC (conditional Granger causality) method for high precision connectivity analysis over time and frequency in multivariate coupling nonstationary systems, and applies it…

Signal Processing · Electrical Eng. & Systems 2018-10-23 Yang Li , Mengying Lei , Weigang Cui , Yuzhu Guo , Hua-Liang Wei

Multivariate Hawkes processes are commonly used to model streaming networked event data in a wide variety of applications. However, it remains a challenge to extract reliable inference from complex datasets with uncertainty quantification.…

Machine Learning · Statistics 2020-10-29 Haoyun Wang , Liyan Xie , Alex Cuozzo , Simon Mak , Yao Xie

We consider the problem of learning models for forecasting multiple time-series systems together with discovering the leading indicators that serve as good predictors for the system. We model the systems by linear vector autoregressive…

Machine Learning · Computer Science 2016-11-03 Magda Gregorova , Alexandros Kalousis , Stéphane Marchand-Maillet