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There is currently a debate within the neuroscience community over the likelihood of the brain performing backpropagation (BP). To better mimic the brain, training a network \textit{one layer at a time} with only a "single forward pass" has…

Machine Learning · Statistics 2022-02-09 Chieh Wu , Aria Masoomi , Arthur Gretton , Jennifer Dy

Connectomics and network neuroscience offer quantitative scientific frameworks for modeling and analyzing networks of structurally and functionally interacting neurons, neuronal populations, and macroscopic brain areas. This shift in…

Neurons and Cognition · Quantitative Biology 2020-10-06 Richard Betzel

We study the dynamics of two neuronal populations weakly and mutually coupled in a multiplexed ring configuration. We simulate the neuronal activity with the stochastic FitzHugh-Nagumo (FHN) model. The two neuronal populations perceive…

Adaptation and Self-Organizing Systems · Physics 2021-03-17 M. Masoliver , C. Masoller , A. Zakharova

A plethora of networks is being collected in a growing number of fields, including disease transmission, international relations, social interactions, and others. As data streams continue to grow, the complexity associated with these highly…

Machine Learning · Statistics 2018-09-11 Daniele Durante , Nabanita Mukherjee , Rebecca C. Steorts

Recent developments in complex systems have witnessed that many real-world scenarios, successfully represented as networks are not always restricted to binary interactions but often include higher-order interactions among the nodes. These…

Adaptation and Self-Organizing Systems · Physics 2022-04-22 Md Sayeed Anwar , Dibakar Ghosh

Multilayer networks provide a more advanced and comprehensive framework for modeling real-world systems compared to traditional single-layer and multiplex networks. Unlike single-layer models, multilayer networks have multiple interacting…

Optimization and Control · Mathematics 2025-02-26 Christian D. Rodríguez-Camargo , Andrés F. Urquijo-Rodríguez , Eduardo Mojica-Nava

Network coherence generally refers to the emergence of simple aggregated dynamical behaviours, despite heterogeneity in the dynamics of the subsystems that constitute the network. In this paper, we develop a general frequency domain…

Systems and Control · Electrical Eng. & Systems 2023-02-17 Hancheng Min , Richard Pates , Enrique Mallada

Humans have been aware for thousands of years that sleep comes in many forms, accompanied by different kinds of mental content. We review the first-person report literature on the frequency and type of content experienced in various stages…

Neurons and Cognition · Quantitative Biology 2016-10-07 Kieran C. R. Fox , Manesh Girn

Many recent efforts in computational modeling of macro-scale brain dynamics have begun to take a data-driven approach by incorporating structural and/or functional information derived from subject data. Here, we discuss recent work using…

Neurons and Cognition · Quantitative Biology 2018-11-15 Kanika Bansal , Johan Nakuci , Sarah Feldt Muldoon

Recent success in training deep neural networks have prompted active investigation into the features learned on their intermediate layers. Such research is difficult because it requires making sense of non-linear computations performed by…

Machine Learning · Computer Science 2016-03-01 Yixuan Li , Jason Yosinski , Jeff Clune , Hod Lipson , John Hopcroft

Neural networks are composed of multiple layers arranged in a hierarchical structure jointly trained with a gradient-based optimization, where the errors are back-propagated from the last layer back to the first one. At each optimization…

Machine Learning · Computer Science 2023-01-05 Firas Laakom , Jenni Raitoharju , Alexandros Iosifidis , Moncef Gabbouj

We investigate spectral fluctuations in multilayer networks within the random matrix theory (RMT) framework to characterize universal and non-universal features. The adjacency matrix of a multilayer network exhibits a block structure, with…

Mathematical Physics · Physics 2025-08-19 Himanshu Shekhar , Ashutosh Dheer , Santosh Kumar , N. Sukumar

In this paper we review the preprocessing pipeline through which fMRI data is transformed into a network. We discuss three parameters that mostly affect our understanding of the existence of functional correlations between the brain…

Neurons and Cognition · Quantitative Biology 2022-02-07 Amin Kaveh , Matteo Magnani , Christian Rohner

Recent advances in experimental techniques enable the simultaneous recording of activity from thousands of neurons in the brain, presenting both an opportunity and a challenge: to build meaningful, scalable models of large neural…

Biological Physics · Physics 2025-08-05 Luca Di Carlo , Francesca Mignacco , Christopher W. Lynn , William Bialek

Recent analyses combining advanced theoretical techniques and high-quality data from thousands of simultaneously recorded neurons provide strong support for the hypothesis that neural dynamics operate near the edge of instability across…

Neurons and Cognition · Quantitative Biology 2024-03-25 Rubén Calvo , Carles Martorell , Guillermo B. Morales , Serena Di Santo , Miguel A. Muñoz

A periodically driven quantum system with avoided-level crossing experiences both non-adiabatic transitions and wave-function phase changes. These result in coherent interference fringes in the system's occupation probabilities. For qubits,…

Mesoscale and Nanoscale Physics · Physics 2018-11-28 S. N. Shevchenko , A. I. Ryzhov , Franco Nori

Brain connectivity networks, derived from magnetic resonance imaging (MRI), non-invasively quantify the relationship in function, structure, and morphology between two brain regions of interest (ROIs) and give insights into gender-related…

Image and Video Processing · Electrical Eng. & Systems 2020-09-25 Ahmed Nebli , Islem Rekik

There is currently a debate within the neuroscience community over the likelihood of the brain performing backpropagation (BP). To better mimic the brain, training a network $\textit{one layer at a time}$ with only a "single forward pass"…

Machine Learning · Statistics 2022-02-10 Chieh Wu , Aria Masoomi , Arthur Gretton , Jennifer Dy

In the context of multi-agent systems of binary interacting particles, a kinetic model for action potential dynamics on a neural network is proposed, accounting for heterogeneity in the neuron-to-neuron connections, as well as in the brain…

Biological Physics · Physics 2026-02-24 Marzia Bisi , Martina Conte , Maria Groppi

Recent developments in experimental neuroscience make it possible to simultaneously record the activity of thousands of neurons. However, the development of analysis approaches for such large-scale neural recordings have been slower than…

Neurons and Cognition · Quantitative Biology 2022-10-18 Rufus Mitchell-Heggs , Seigfred Prado , Giuseppe P. Gava , Mary Ann Go , Simon R. Schultz