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Predicting how the brain can be driven to specific states by means of internal or external control requires a fundamental understanding of the relationship between neural connectivity and activity. Network control theory is a powerful tool…

Neurons and Cognition · Quantitative Biology 2019-08-12 Teresa M. Karrer , Jason Z. Kim , Jennifer Stiso , Ari E. Kahn , Fabio Pasqualetti , Ute Habel , Danielle S. Bassett

Artificial and biological agents cannon learn given completely random and unstructured data. The structure of data is encoded in the metric relationships between data points. In the context of neural networks, neuronal activity within a…

Machine Learning · Computer Science 2022-11-03 Kosio Beshkov , Jonas Verhellen , Mikkel Elle Lepperød

We provide an overview of the state-of-the-art for mathematical methods that are used to reconstruct brain activity from neurophysiological data. After a brief introduction on the mathematics of the forward problem, we discuss standard and…

Quantitative Methods · Quantitative Biology 2017-05-09 Alberto Sorrentino , Michele Piana

A major challenge in neuroscience is posed by the need for relating the emerging dynamical features of brain activity with the underlying modular structure of neural connections, hierarchically organized throughout several scales. The…

Neurons and Cognition · Quantitative Biology 2016-06-03 Pablo Villegas , Jorge Hidalgo , Paolo Moretti , Miguel A. Muñoz

The spectral content of macroscopic neural activity evolves throughout development, yet how this maturation relates to underlying brain network formation and dynamics remains unknown. Here, we assess the developmental maturation of…

We propose a new approach to the problem of neural network expressivity, which seeks to characterize how structural properties of a neural network family affect the functions it is able to compute. Our approach is based on an interrelated…

Machine Learning · Statistics 2017-06-20 Maithra Raghu , Ben Poole , Jon Kleinberg , Surya Ganguli , Jascha Sohl-Dickstein

Measuring transient functional connectivity is an important challenge in Electroencephalogram (EEG) research. Here, the rich potential for insightful, discriminative information of brain activity offered by high temporal resolution is…

Neurons and Cognition · Quantitative Biology 2025-02-11 Om Roy , Yashar Moshfeghi , Agustin Ibanez , Francisco Lopera , Mario A Parra , Keith M Smith

Assessment of mental workload in real-world conditions is key to ensure the performance of workers executing tasks that demand sustained attention. Previous literature has employed electroencephalography (EEG) to this end despite having…

Machine Learning · Computer Science 2024-10-30 Isabela Albuquerque , João Monteiro , Olivier Rosanne , Abhishek Tiwari , Jean-François Gagnon , Tiago H. Falk

We study the distribution of brain source from the most advanced brain imaging technique, Magnetoencephalography (MEG), which measures the magnetic fields outside the human head produced by the electrical activity inside the brain. Common…

Applications · Statistics 2019-08-13 Zhigang Yao , Zengyan Fan , Masahito Hayashi , William F. Eddy

The brain is often studied from a network perspective, where functional activity is assessed using functional Magnetic Resonance Imaging (fMRI) to estimate connectivity between predefined neuronal regions. Functional connectivity can be…

Applications · Statistics 2025-07-22 Olivier Bisson , Yanis Aeschlimann , Samuel Deslauriers-Gauthier , Xavier Pennec

Robotic arms are increasingly being used in collaborative environments, requiring an accurate understanding of human intentions to ensure both effectiveness and safety. Electroencephalogram (EEG) signals, which measure brain activity,…

Signal Processing · Electrical Eng. & Systems 2024-11-20 Byeong-Hoo Lee , Kang Yin

Network control theory has recently emerged as a promising approach for understanding brain function and dynamics. By operationalizing notions of control theory for brain networks, it offers a fundamental explanation for how brain dynamics…

Quantitative Methods · Quantitative Biology 2020-03-20 Shikuang Deng , Shi Gu

Decoding imagined speech engages complex neural processes that are difficult to interpret due to uncertainty in timing and the limited availability of imagined-response datasets. In this study, we present a Magnetoencephalography (MEG)…

Signal Processing · Electrical Eng. & Systems 2025-12-04 Maryam Maghsoudi , Mohsen Rezaeizadeh , Shihab Shamma

Electroencephalography (EEG) stands as a crucial tool in neuroscientific research and clinical diagnostics, providing valuable insights into the electrical activities of the brain. Traditional EEG signal processing techniques, predominantly…

Neurons and Cognition · Quantitative Biology 2024-01-12 Aryan Govil , Eric Yao , Christina R. Borao

Network synchronization is an emerging phenomenon in complex networks. The spectrum of Laplacian matrix will be immensely helpful for getting the network dynamics information. Especially, network synchronizability is characterized by the…

Dynamical Systems · Mathematics 2014-11-18 Sateeshkrishna Dhuli , Y. N. Singh

This study aimed to analyze brain activity during various STEM activities, exploring the feasibility of classifying between different tasks. EEG brain data from twenty subjects engaged in five cognitive tasks were collected and segmented…

Signal Processing · Electrical Eng. & Systems 2024-01-22 Ryan Cho , Mobasshira Zaman , Kyu Taek Cho , Jaejin Hwang

Spectral networks derived from multivariate time series data arise in many domains, from brain science to Earth science. Often, it is of interest to study how these networks change under different conditions. For instance, to better…

Methodology · Statistics 2025-07-22 Michael Hellstern , Byol Kim , Zaid Harchaoui , Ali Shojaie

Spectral embedding is a popular technique for the representation of graph data. Several regularization techniques have been proposed to improve the quality of the embedding with respect to downstream tasks like clustering. In this paper, we…

Machine Learning · Computer Science 2019-12-24 Nathan de Lara , Thomas Bonald

Aperiodic neural activity has been the subject of intense research interest lately as it could reflect on the cortical excitation/inhibition ratio, which is suspected to be affected in numerous clinical conditions. This phenomenon is…

Neurons and Cognition · Quantitative Biology 2025-06-02 Frigyes Samuel Racz , John Milton , Juan Luis Cabrera , Gábor Csukly , José del R. Millán

Magnetoencephalography (MEG) and electroencephalogra-phy (EEG) are non-invasive modalities that measure the weak electromagnetic fields generated by neural activity. Inferring the location of the current sources that generated these…

Machine Learning · Statistics 2019-02-14 Hicham Janati , Thomas Bazeille , Bertrand Thirion , Marco Cuturi , Alexandre Gramfort