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In this paper we propose spatial filters for a linear regression model which are based on the minimum-variance pseudo-unbiased reduced-rank estimation (MV-PURE) framework. As a sample application, we consider the problem of reconstruction…

Signal Processing · Electrical Eng. & Systems 2024-08-02 Tomasz Piotrowski , Jan Nikadon , David Gutierrez

We propose an operational measure of information leakage in a non-stochastic setting to formalize privacy against a brute-force guessing adversary. We use uncertain variables, non-probabilistic counterparts of random variables, to construct…

Information Theory · Computer Science 2021-01-29 Farhad Farokhi , Ni Ding

Errors are common issues in quantum computing platforms, among which leakage is one of the most challenging to address. This is because leakage, i.e., the loss of information stored in the computational subspace to undesired subspaces in a…

Quantum Physics · Physics 2024-04-19 Bujiao Wu , Xiaoyang Wang , Xiao Yuan , Cupjin Huang , Jianxin Chen

Hierarchical data with multiple observations per group is ubiquitous in empirical sciences and is often analyzed using mixed-effects regression. In such models, Bayesian inference gives an estimate of uncertainty but is analytically…

Machine Learning · Computer Science 2026-02-05 Alex Kipnis , Marcel Binz , Eric Schulz

Detecting the origin of information or infection spread in networks is a fundamental challenge with applications in misinformation tracking, epidemiology, and beyond. We study the multi-source detection problem: given snapshot observations…

Social and Information Networks · Computer Science 2025-12-02 Xingchao Jian , Purui Zhang , Lan Tian , Feng Ji , Wenfei Liang , Wee Peng Tay , Bihan Wen , Felix Krahmer

Source imaging based on magnetoencephalography (MEG) and electroencephalography (EEG) allows for the non-invasive analysis of brain activity with high temporal and good spatial resolution. As the bioelectromagnetic inverse problem is…

Applications · Statistics 2016-07-29 Daniel Strohmeier , Yousra Bekhti , Jens Haueisen , Alexandre Gramfort

We study source localization from high dimensional M/EEG data by extending a multiscale method based on Entropic inference devised to increase the spatial resolution of inverse problems. This method is used to construct informative prior…

Quantitative Methods · Quantitative Biology 2015-02-13 Leonardo S. Barbosa , Nestor Caticha

In the context of statistical learning, the Information Bottleneck method seeks a right balance between accuracy and generalization capability through a suitable tradeoff between compression complexity, measured by minimum description…

Information Theory · Computer Science 2021-02-16 Mohammad Mahdi Mahvari , Mari Kobayashi , Abdellatif Zaidi

In this contribution, we consider the problem of blind source separation in a Bayesian estimation framework. The wavelet representation allows us to assign an adequate prior distribution to the wavelet coefficients of the sources. MCMC…

Data Analysis, Statistics and Probability · Physics 2009-11-10 Mahieddine M. Ichir , Ali Mohammad-Djafari

Most deep learning models for computational imaging regress a single reconstructed image. In practice, however, ill-posedness, nonlinearity, model mismatch, and noise often conspire to make such point estimates misleading or insufficient.…

Understanding the complex interplay between the brain and a dynamic environment necessitates the continuous generation and updating of expectations for forthcoming events and their corresponding sensory and motor responses. This study…

Adaptation and Self-Organizing Systems · Physics 2023-08-24 Sina Khoonbani , Hasan Ramezanian

We introduce a novel generalization of entropy and conditional entropy from which most definitions from the literature can be derived as particular cases. Within this general framework, we investigate the problem of designing…

Information Theory · Computer Science 2018-11-27 MHR Khouzani , Pasquale Malacaria

Source detection (SD) is the task of finding the origin of a spreading process in a network. Algorithms for SD help us combat diseases, misinformation, pollution, and more, and have been studied by physicians, physicists, sociologists, and…

Data Structures and Algorithms · Computer Science 2025-08-14 Ben Bals , Michelle Döring , Nicolas Klodt , George Skretas

This paper employs an input-output based approach to analyze convective velocities and the transport of fluctuations in turbulent channel flows. The convective velocity for a fluctuating quantity associated with streamwise-spanwise…

Fluid Dynamics · Physics 2021-11-16 Chang Liu , Dennice F. Gayme

The human brain is a large-scale network which function depends on dynamic interactions between spatially-distributed regions. In the rapidly-evolving field of network neuroscience, two yet unresolved challenges are potential breakthroughs.…

Neurons and Cognition · Quantitative Biology 2018-01-09 M. Hassan , F. Wendling

Leakages are a major risk in water distribution networks as they cause water loss and increase contamination risks. Leakage detection is a difficult task due to the complex dynamics of water distribution networks. In particular, small…

Machine Learning · Computer Science 2024-01-04 Valerie Vaquet , Fabian Hinder , Barbara Hammer

We address the distributed estimation of an unknown scalar parameter in Wireless Sensor Networks (WSNs). Sensor nodes transmit their noisy observations over multiple access channel to a Fusion Center (FC) that reconstructs the source…

Information Theory · Computer Science 2015-06-15 Mohammed F. A. Ahmed , Tareq Y. Al-Naffouri , Mohamed-Slim Alouini

Many different analysis techniques have been developed and applied to EEG recordings that allow one to investigate how different brain areas interact. One particular class of methods, based on the linear parametric representation of…

Neurons and Cognition · Quantitative Biology 2016-11-09 Frederik van de Steen , Luca Faes , Esin Karahan , Jitkomut Songsiri , Pedro Antonio Valdes Sosa , Daniele Marinazzo

Timely access to laboratory values is critical for clinical decision-making, yet current approaches rely on invasive venous sampling and are intrinsically delayed. Electrocardiography (ECG), as a non-invasive and widely available signal,…

Machine Learning · Computer Science 2025-10-28 Yujie Xiao , Gongzhen Tang , Wenhui Liu , Jun Li , Guangkun Nie , Zhuoran Kan , Deyun Zhang , Qinghao Zhao , Shenda Hong

Providing reliable service to users close to the edge between cells remains a challenge in cellular systems, even as 5G deployment is around the corner. These users are subject to significant signal attenuation, which also degrades their…

Signal Processing · Electrical Eng. & Systems 2020-03-05 Mohamed Salah Ibrahim , Nicholas D. Sidiropoulos