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Correlation matrices are widely used to analyze the interdependence of variables in various real-world scenarios. Often, a perturbation in a few variables leads to mild differences in many correlation coefficients associated with these…

Applications · Statistics 2023-03-07 Itamar Faran , Michael Peer , Shahar Arzy , Yuval Benjamini

Kalman filtering has proven to be effective for estimating brain activity using EEG recordings. In particular, the introduced post hoc standardization step of the algorithm, inspired by the sLORETA time-invariant method, reduces the depth…

Numerical Analysis · Mathematics 2025-11-17 Veikka Piispa , Dilshanie Prasikala , Joonas Lahtinen , Alexandra Koulouri , Sampsa Pursiainen

Neural population activity exhibits complex, nonlinear dynamics, varying in time, over trials, and across experimental conditions. Here, we develop Conditionally Linear Dynamical System (CLDS) models as a general-purpose method to…

Neurons and Cognition · Quantitative Biology 2025-10-31 Victor Geadah , Amin Nejatbakhsh , David Lipshutz , Jonathan W. Pillow , Alex H. Williams

Sleep behaviour and in-bed movements contain rich information on the neurophysiological health of people, and have a direct link to the general well-being and quality of life. Standard clinical practices rely on polysomnography for sleep…

Signal Processing · Electrical Eng. & Systems 2023-01-10 Omar Elnaggar , Roselina Arelhi , Frans Coenen , Andrew Hopkinson , Lyndon Mason , Paolo Paoletti

Neuronal firing activities have attracted a lot of attention since a large population of spatiotemporal patterns in the brain is the basis for adaptive behavior and can also reveal the signs for various neurological disorders including…

Neurons and Cognition · Quantitative Biology 2017-03-13 Wenyuan Li , Igor V. Ovchinnikov , Honglin Chen , Zhe Wang , Albert Lee , Hochul Lee , Carlos Cepeda , Robert N. Schwartz , Karlheinz Meier , Kang L. Wang

Global brain activity self-organizes into discrete patterns characterized by distinct behavioral observables and modes of information processing. The human thalamocortical system is a densely connected network where local neural activation…

How does the brain predict physical outcomes while acting in the world? Machine learning world models compress visual input into latent spaces, discarding the spatial structure that characterizes sensory cortex. We propose isomorphic world…

Neurons and Cognition · Quantitative Biology 2026-02-24 Joshua Nunley

Sleep plays a vital role in human health, both mental and physical. Sleep disorders like sleep apnea are increasing in prevalence, with the rapid increase in factors like obesity. Sleep apnea is most commonly treated with Continuous…

Signal Processing · Electrical Eng. & Systems 2018-10-30 Karan Aggarwal , Swaraj Khadanga , Shafiq R. Joty , Louis Kazaglis , Jaideep Srivastava

We propose a neural network model of multi-neuron interacting system that simulates neurons to interact each other through the surroundings of neuronal cell bodies. We physically model the neuronal cell surroundings, include the dendrites,…

Neurons and Cognition · Quantitative Biology 2021-07-05 Yu-Juan Sun , Wei-Min Zhang

Low-dimensional yet rich dynamics often emerge in the brain. Examples include oscillations and chaotic dynamics during sleep, epilepsy, and voluntary movement. However, a general mechanism for the emergence of low dimensional dynamics…

Neurons and Cognition · Quantitative Biology 2018-08-29 Wilten Nicola , Peter Hellyer , Sue Ann Campbell , Claudia Clopath

Neural signals are characterized by rich temporal and spatiotemporal dynamics that reflect the organization of cortical networks. Theoretical research has shown how neural networks can operate at different dynamic ranges that correspond to…

Neurons and Cognition · Quantitative Biology 2017-07-05 Luca Ambrogioni , Marcel A. J. van Gerven , Eric Maris

Activity in neocortex exhibits a range of behaviors, from irregular to temporally precise, and from weakly to strongly correlated. So far there has been no single theoretical framework that could explain all these behaviors, leaving open…

Neurons and Cognition · Quantitative Biology 2015-11-03 Alexander Lerchner , Peter E. Latham

Resting-state functional MRI (rs-fMRI) is a rich imaging modality that captures spontaneous brain activity patterns, revealing clues about the connectomic organization of the human brain. While many rs-fMRI studies have focused on static…

Machine Learning · Computer Science 2019-08-20 Meenakshi Khosla , Keith Jamison , Amy Kuceyeski , Mert R. Sabuncu

Complex coherent dynamics is present in a wide variety of neural systems. A typical example is the voltage transitions between up and down states observed in cortical areas in the brain. In this work, we study this phenomenon via a…

Neurons and Cognition · Quantitative Biology 2015-05-19 Jorge F. Mejias , Hilbert J. Kappen , Joaquin J. Torres

Slow-wave sleep in mammalians is characterized by a change of large-scale cortical activity currently paraphrased as cortical Up/Down states. A recent experiment demonstrated a bistable collective behaviour in ferret slices, with the…

Neurons and Cognition · Quantitative Biology 2012-06-12 Hong-Viet V. Ngo , Jan Köhler , Jörg Mayer , Jens Christian Claussen , Heinz Georg Schuster

The signaling capacity of a neural population depends on the scale and orientation of its covariance across trials. Estimating this "noise" covariance is challenging and is thought to require a large number of stereotyped trials. New…

Applications · Statistics 2023-11-01 Amin Nejatbakhsh , Isabel Garon , Alex H Williams

Converging research suggests that the resting brain operates at the cusp of dynamic instability signified by scale-free temporal correlations. We asked if the scaling properties of these correlations differ between amplitude and phase…

Neurons and Cognition · Quantitative Biology 2015-12-09 Robert Ton , Gustavo Deco , Morten L Kringelbach , Mark Woolrich , Andreas Daffertshofer

Humans and other animals learn to extract general concepts from sensory experience without extensive teaching. This ability is thought to be facilitated by offline states like sleep where previous experiences are systemically replayed.…

Neurons and Cognition · Quantitative Biology 2022-02-21 Nicolas Deperrois , Mihai A. Petrovici , Walter Senn , Jakob Jordan

Human brain dynamics can be profitably viewed through the lens of statistical mechanics, where neurophysiological activity evolves around and between local attractors representing preferred mental states. Many physically-inspired models of…

Neurons and Cognition · Quantitative Biology 2016-09-06 Arian Ashourvan , Shi Gu , Marcelo G. Mattar , Jean M. Vettel , Danielle S. Bassett

Spontaneous cortical population activity exhibits a multitude of oscillatory patterns, which often display synchrony during slow-wave sleep or under certain anesthetics and stay asynchronous during quiet wakefulness. The mechanisms behind…

Neurons and Cognition · Quantitative Biology 2018-06-20 Rodrigo F. O. Pena , Michael A. Zaks , Antonio C. Roque