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This paper presents a Bayesian approach to learning the connectivity structure of a group of neurons from data on configuration frequencies. A major objective of the research is to provide statistical tools for detecting changes in firing…

Machine Learning · Computer Science 2013-02-18 Kathryn Blackmond Laskey , Laura Martignon

Complex numbers appear naturally in biology whenever a system can be analyzed in the frequency domain, such as physiological data from magnetoencephalography (MEG). For example, the MEG steady state response to a modulated auditory stimulus…

Neurons and Cognition · Quantitative Biology 2007-05-23 Jonathan Z. Simon , Yadong Wang

For reliable transmission across a noisy communication channel, classical results from information theory show that it is asymptotically optimal to separate out the source and channel coding processes. However, this decomposition can fall…

Machine Learning · Computer Science 2019-05-15 Kristy Choi , Kedar Tatwawadi , Aditya Grover , Tsachy Weissman , Stefano Ermon

Multi-electrode arrays (MEAs) can record extracellular action potentials (also known as 'spikes') from hundreds or thousands of neurons simultaneously. Inference of a functional network from a spike train is a fundamental and formidable…

Computational Engineering, Finance, and Science · Computer Science 2020-07-07 Yun Zhao , Richard Jiang , Zhenni Xu , Elmer Guzman , Paul K. Hansma , Linda Petzold

State of the art audio source separation models rely on supervised data-driven approaches, which can be expensive in terms of labeling resources. On the other hand, approaches for training these models without any direct supervision are…

Machine Learning · Computer Science 2022-04-04 Michele Mancusi , Emilian Postolache , Giorgio Mariani , Marco Fumero , Andrea Santilli , Luca Cosmo , Emanuele Rodolà

The statistical analysis of group studies in neuroscience is particularly challenging due to the complex spatio-temporal nature of the data, its multiple levels and the inter-individual variability in brain responses. In this respect,…

Methodology · Statistics 2025-05-15 Nicolò Margaritella , Vanda Inácio , Ruth King

The realisation of precision cardiology requires novel techniques for the non-invasive characterisation of individual patients' cardiac function to inform therapeutic and diagnostic decision-making. The electrocardiogram (ECG) is the most…

Tissues and Organs · Quantitative Biology 2021-12-09 Julia Camps , Brodie Lawson , Christopher Drovandi , Ana Minchole , Zhinuo Jenny Wang , Vicente Grau , Kevin Burrage , Blanca Rodriguez

The success of stereoelectroencephalographic (SEEG) investigations depends crucially on the hypotheses on the putative location of the seizure onset zone. This information is derived from non-invasive data either based on visual analysis or…

Characterizing the brain dynamics during different cortical states can reveal valuable information about its patterns across various cognitive processes. In particular, studying the differences between awake and sleep stages can shed light…

Machine learning techniques in multi-view settings face significant challenges, particularly when integrating heterogeneous data, aligning feature spaces, and managing view-specific biases. These issues are prominent in neuroscience, where…

Machine Learning · Computer Science 2025-08-14 Ambroise Heurtebise , Omar Chehab , Pierre Ablin , Alexandre Gramfort

Time series with multiple periodically correlated components is a complex problem with comparatively limited prior research. Most existing time series models are designed to accommodate simple periodically correlated components and tend to…

Methodology · Statistics 2025-09-29 Jie Yao , Kai Zhang , Eric Rose , Edward Valachovic

Since forced oscillations are exogenous to dynamic power system models, the models by themselves cannot predict when or where a forced oscillation will occur. Locating the sources of these oscillations, therefore, is a challenging problem…

Systems and Control · Computer Science 2018-10-31 Samuel Chevalier , Petr Vorobev , Konstantin Turitsyn

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

Motivated by mapping adverse artifactual events caused by body movements in electroencephalographic (EEG) signals, we present a functional independent component analysis based on the spectral decomposition of the kurtosis operator of a…

Methodology · Statistics 2021-06-08 Marc Vidal , Mattia Rosso , Ana M. Aguilera

This paper proposes a multichannel source separation technique called the multichannel variational autoencoder (MVAE) method, which uses a conditional VAE (CVAE) to model and estimate the power spectrograms of the sources in a mixture. By…

Machine Learning · Statistics 2018-08-28 Hirokazu Kameoka , Li Li , Shota Inoue , Shoji Makino

We present two Bayesian procedures to infer the interactions and external currents in an assembly of stochastic integrate-and-fire neurons from the recording of their spiking activity. The first procedure is based on the exact calculation…

Machine Learning · Statistics 2011-02-28 Remi Monasson , Simona Cocco

This paper focuses on analysis and design of time-varying complex networks having fractional order dynamics. These systems are key in modeling the complex dynamical processes arising in several natural and man made systems. Notably,…

Signal Processing · Electrical Eng. & Systems 2018-09-17 Gaurav Gupta , Sergio Pequito , Paul Bogdan

We present an algorithm to identify individual neural spikes observed on high-density multi-electrode arrays (MEAs). Our method can distinguish large numbers of distinct neural units, even when spikes overlap, and accounts for intrinsic…

Neurons and Cognition · Quantitative Biology 2013-08-01 Jason S. Prentice , Jan Homann , Kristina D. Simmons , Gašper Tkačik , Vijay Balasubramanian , Philip C. Nelson

Electroencephalography (EEG) plays a significant role in the Brain Computer Interface (BCI) domain, due to its non-invasive nature, low cost, and ease of use, making it a highly desirable option for widespread adoption by the general…

Signal Processing · Electrical Eng. & Systems 2023-03-13 Giulio Tosato , Cesare M. Dalbagno , Francesco Fumagalli

Localizing the sources of electrical activity in the brain from Electroencephalographic (EEG) data is an important tool for non-invasive study of brain dynamics. Generally, the source localization process involves a high-dimensional inverse…

Quantitative Methods · Quantitative Biology 2014-06-11 S. Saha , Ya. I. Nesterets , Rajib Rana , M. Tahtali , Frank de Hoog , T. E. Gureyev
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