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The instrumental-variables (IV) setting is standard for partial identification of causal effects when unobserved confounding makes point identification impossible. Existing approaches face methodological bottlenecks: closed-form bound…

Machine Learning · Computer Science 2026-05-14 Vahid Balazadeh , Hamidreza Kamkari , Medha Barath , Ricardo Silva , Rahul G. Krishnan

Discovery of causal relations is fundamental for understanding the dynamics of complex systems. While causal interactions are well defined for acyclic systems that can be separated into causally effective subsystems, a mathematical…

Data Analysis, Statistics and Probability · Physics 2017-10-11 Daniel Harnack , Erik Laminski , Klaus Richard Pawelzik

An operationally well-defined delayed-choice quantum-eraser experiment is proposed, realizing a genuine delayed choice within presently available quantum-optical technology. A multimode quantum memory supplies a controlled and verifiable…

Quantum Physics · Physics 2025-12-23 Taku Ohwada

Independent component analysis (ICA) is a blind source separation method to recover source signals of interest from their mixtures. Most existing ICA procedures assume independent sampling. Second-order-statistics-based source separation…

Machine Learning · Statistics 2022-12-14 Seonjoo Lee , Haipeng Shen , Young K. Truong

In multi-terminal networks, feedback increases the capacity region and helps communication devices to coordinate. In this article, we deepen the relationship between coordination and feedback by considering a point-to-point scenario with an…

Information Theory · Computer Science 2016-11-15 Maël Le Treust

Simultaneous estimates of the activity in the left and right auditory cortex of five normal human subjects were extracted from Multichannel Magnetoencephalography recordings. Left, right and binaural stimulation were used, in separate runs,…

Biological Physics · Physics 2009-10-31 J. Kwapien , S. Drozdz , L. C. Liu , A. A. Ioannides

Measuring small separations between two optical sources, either in space or in time, constitute an important metrological challenge as standard intensity-only measurements fail for vanishing separations. Contrarily, it has been established…

Knowledge of the diffuse-field coherence between array sensors is a basic assumption for a wide range of array processing applications. Explicit relations previously existed only for omnidirectional and first-order directional sensors, or a…

Sound · Computer Science 2016-08-30 Archontis Politis

We consider the problem of inferring causal relationships between two or more passively observed variables. While the problem of such causal discovery has been extensively studied especially in the bivariate setting, the majority of current…

Machine Learning · Statistics 2019-04-22 Ricardo Pio Monti , Kun Zhang , Aapo Hyvarinen

We present a measure for characterizing statistical relationships between two time sequences. In contrast to commonly used measures like cross-correlations, coherence and mutual information, the proposed measure is non-symmetric and…

chao-dyn · Physics 2009-10-31 J. Arnhold , P. Grassberger , K. Lehnertz , C. E. Elger

Coherence is a basic phenomenon in quantum mechanics and considered to be an essential resource in quantum information processing. Although the quantification of coherence has attracted a lot of interest, the lack of efficient methods to…

Quantum Physics · Physics 2019-06-18 Xiao-Dong Yu , Otfried Gühne

Understanding the evolving dependence between two clusters of multivariate signals is fundamental in neuroscience and other domains where sub-networks in a system interact dynamically over time. Despite the growing interest in multivariate…

Methodology · Statistics 2025-11-26 Haibo Wu , Marina I. Knight , Keiland W. Cooper , Norbert J. Fortin , Hernando Ombao

The use of EEG biometrics, for the purpose of automatic people recognition, has received increasing attention in the recent years. Most of current analysis rely on the extraction of features characterizing the activity of single brain…

Neurons and Cognition · Quantitative Biology 2014-09-10 Daria La Rocca , Patrizio Campisi , Balazs Vegso , Peter Cserti , Gyorgy Kozmann , Fabio Babiloni , Fabrizio De Vico Fallani

We probe the foundations of causal structure inference experimentally. The causal structure concerns which events influence other events. We probe whether causal structure can be determined without intervention in quantum systems.…

Quantum Physics · Physics 2024-11-12 Hongfeng Liu , Xiangjing Liu , Qian Chen , Yixian Qiu , Vlatko Vedral , Xinfang Nie , Oscar Dahlsten , Dawei Lu

This work proposes a series of quantum experiments that can, at least in principle, allow for examining microscopic mechanisms associated with decoherence. These experiments can be interpreted as a quantum-mechanical version of…

Quantum Physics · Physics 2021-09-21 A. Y. Klimenko

We study the transmission of two correlated and memoryless sources $(U,V)$ over several multiple-user phase asynchronous channels. Namely, we consider a class of phase-incoherent multiple access relay channels (MARC) with both non-causal…

Information Theory · Computer Science 2011-10-17 Hamidreza Ebrahimzadeh Saffar , Ehsan Haj Mirza Alian , Patrick Mitran

Resting-state brain functional connectivity quantifies the synchrony between activity patterns of different brain regions. In functional magnetic resonance imaging (fMRI), each region comprises a set of spatially contiguous voxels at which…

Methodology · Statistics 2025-11-07 Ruobin Liu , Chao Zhang , Chau Tran , Sophie Achard , Wendy Meiring , Alexander Petersen

Independent Component Analysis (ICA) is a technique for unsupervised exploration of multi-channel data widely used in observational sciences. In its classical form, ICA relies on modeling the data as a linear mixture of non-Gaussian…

Machine Learning · Statistics 2017-11-30 Pierre Ablin , Jean-François Cardoso , Alexandre Gramfort

The information flow-based quantitative causality analysis has been widely applied in different disciplines because of its origin from first principles, its concise form, and its computational efficiency. So far the algorithm for its…

Adaptation and Self-Organizing Systems · Physics 2023-03-08 X. San Liang

Identification of causal direction between a causal-effect pair from observed data has recently attracted much attention. Various methods based on functional causal models have been proposed to solve this problem, by assuming the causal…

Machine Learning · Computer Science 2019-06-04 Ruichu Cai , Jie Qiao , Kun Zhang , Zhenjie Zhang , Zhifeng Hao
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