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Granger causality, commonly used for inferring causal structures from time series data, has been adopted in widespread applications across various fields due to its intuitive explainability and high compatibility with emerging deep neural…

Machine Learning · Computer Science 2024-06-18 Ziyi Zhang , Shaogang Ren , Xiaoning Qian , Nick Duffield

Sparse autoencoders can localize where concepts live in language models, but not how they interact during multi-step reasoning. We propose Causal Concept Graphs (CCG): a directed acyclic graph over sparse, interpretable latent features,…

Machine Learning · Computer Science 2026-04-27 Md Muntaqim Meherab , Noor Islam S. Mohammad , Faiza Feroz

A fundamental goal in network neuroscience is to understand how activity in one region drives activity elsewhere, a process referred to as effective connectivity. Here we propose to model this causal interaction using integro-differential…

Neurons and Cognition · Quantitative Biology 2017-05-17 Luca Ambrogioni , Max Hinne , Marcel van Gerven , Eric Maris

To improve the reliability and interpretability of industrial process monitoring, this article proposes a Causal Graph Spatial-Temporal Autoencoder (CGSTAE). The network architecture of CGSTAE combines two components: a correlation graph…

Machine Learning · Computer Science 2026-05-21 Xiangrui Zhang

Biomarker discovery from high-throughput transcriptomic data is crucial for advancing precision medicine. However, existing methods often neglect gene-gene regulatory relationships and lack stability across datasets, leading to conflation…

Quantitative Methods · Quantitative Biology 2025-11-18 Chaowang Lan , Jingxin Wu , Yulong Yuan , Chuxun Liu , Huangyi Kang , Caihua Liu

We develop a semidefinite programming method for the optimization of quantum networks, including both causal networks and networks with indefinite causal structure. Our method applies to a broad class of performance measures, defined…

Quantum Physics · Physics 2018-05-01 Giulio Chiribella , Daniel Ebler

A growth curve model (GCM) aims to characterize how an outcome variable evolves, develops and grows as a function of time, along with other predictors. It provides a particularly useful framework to model growth trend in longitudinal data.…

Methodology · Statistics 2023-12-29 Xin Zhou , Yin Xia , Lexin Li

Invariance-principle-based methods such as Invariant Risk Minimization (IRM), have recently emerged as promising approaches for Domain Generalization (DG). Despite promising theory, such approaches fail in common classification tasks due to…

Machine Learning · Computer Science 2022-07-12 Thuan Nguyen , Boyang Lyu , Prakash Ishwar , Matthias Scheutz , Shuchin Aeron

Node classifiers are required to comprehensively reduce prediction errors, training resources, and inference latency in the industry. However, most graph neural networks (GNN) concentrate only on one or two of them. The compromised aspects…

Machine Learning · Computer Science 2023-06-01 Yi Luo , Guangchun Luo , Ke Qin , Aiguo Chen

The literature manifests that schizophrenia is associated with alterations in brain network connectivity. We investigate whether large-scale Extended Granger Causality (lsXGC) can capture such alterations using resting-state fMRI data. Our…

Neurons and Cognition · Quantitative Biology 2021-01-27 Axel Wismüller , M. Ali Vosoughi

Multiscale entropy (MSE) has been a prevalent algorithm to quantify the complexity of fluctuations in the local mean value of biomedical time series. Recent developments in the field have tried to improve the MSE by reducing its variability…

Computational Engineering, Finance, and Science · Computer Science 2017-05-04 Hamed Azami , Alberto Fernandez , Javier Escudero

Causal discovery, the problem of inferring the direction of causality, is generally ill-posed. We use the language of structural causal models (SCM) to show that assuming that the causal relations are acyclic and invariant across multiple…

Machine Learning · Statistics 2026-05-14 Francesco Montagna , Francesco Locatello

The properties of flat minima in the empirical risk landscape of neural networks have been debated for some time. Increasing evidence suggests they possess better generalization capabilities with respect to sharp ones. First, we discuss…

Contemporary neuroimaging methods can shed light on the basis of human neural and cognitive specializations, with important implications for neuroscience and medicine. Different MRI acquisitions provide different brain networks at the…

Neurons and Cognition · Quantitative Biology 2016-02-23 C. Alonso-Montes , I. Diez , L. Remaki , I. Escudero , B. Mateos , Y. Rosseel , D. Marinazzo , S. Stramaglia , J. Cortes

Generative Bayesian Computation (GBC) methods are developed for Casual Inference. Generative methods are simulation-based methods that use a large training dataset to represent posterior distributions as a map (a.k.a. optimal transport) to…

Methodology · Statistics 2024-12-25 Maria Nareklishvili , Nicholas Polson , Vadim Sokolov

Data-driven reachability analysis enables safety verification when first-principles models are unavailable. This requires constructing sets of system models consistent with measured trajectories and noise assumptions. Existing approaches…

Systems and Control · Electrical Eng. & Systems 2026-04-07 Peng Xie , Zhen Zhang , Rolf Findeisen , Amr Alanwar

Built upon the concept of causal faithfulness, the so-called causal discovery algorithms propose the breakdown of mutual information (MI) and conditional mutual information (CMI) into sets of variables to reveal causal influences. These…

Statistical Mechanics · Physics 2022-08-09 Tiago Martinelli , Diogo O. Soares-Pinto , Francisco A. Rodrigues

Learning directionality between variables is crucial yet challenging, especially for mechanistic relationships without a priori ordering assumptions. We propose a coefficient of asymmetry to quantify directional asymmetry using Shannon's…

Methodology · Statistics 2025-11-11 Soumik Purkayastha , Peter X. -K. Song

Identifying causal relationships in climate systems remains challenging due to nonlinear, coupled dynamics that limit the effectiveness of linear and stochastic causal discovery approaches. This study benchmarks Convergence Cross Mapping…

Applications · Statistics 2025-10-23 Francis Nji , Seraj Al Mahmud Mostafa , Jianwu Wang

In the application of brain-computer interface (BCI), while pursuing accurate decoding of brain signals, we also need consider the computational efficiency of BCI devices. ECoG signals are multi-channel temporal signals which is collected…

Numerical Analysis · Mathematics 2024-12-24 Changqing Ji , Keisuke Kawasaki , Isao Hasegawa , Takayuki Okatani
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