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Electrophysiological signals (electroencephalography, EEG, and magnetoencephalography , MEG), as many natural processes, exhibit scale-invariance properties resulting in a power-law (1/f) spectrum. Interestingly, EEG and MEG differ in their…

神经元与认知 · 定量生物学 2019-10-25 Christian-G. Bénar , C. Grova , V. Jirsa , J. Lina

A dynamical system approaching the first-order transition can exhibit a specific type of critical behavior known as self-organized bistability (SOB). It lies in the fact that the system can permanently switch between the coexisting states…

适应与自组织系统 · 物理学 2022-11-14 Nikita Frolov , Alexander Hramov

At the macroscale, the brain operates as a network of interconnected neuronal populations, which display rhythmic dynamics that support interareal communication. Understanding how stimulation of a particular brain area impacts such…

神经元与认知 · 定量生物学 2020-11-12 Lia Papadopoulos , Christopher W. Lynn , Demian Battaglia , Danielle S. Bassett

It has been recently reported that explosive synchronization transitions can take place in networks of phase oscillators [G\'omez-Garde\~nes \emph{et al.} Phys.Rev.Letts. 106, 128701 (2011)] and chaotic oscillators [Leyva \emph{et al.}…

无序系统与神经网络 · 物理学 2015-06-04 Hanshuang Chen , Feng Huang , Chuansheng Shen , Zhonghuai Hou

A network of propagating nonlinear oscillatory modes (waves) in the human brain is shown to generate collectively synchronized spiking activity (hypersynchronous spiking) when both amplitude and phase coupling between modes are taken into…

生物物理 · 物理学 2021-04-28 Vitaly L. Galinsky , Lawrence R. Frank

The scale-free (SF) structure that commonly appears in many complex networks is one of the hot topics related to social, biological, and information sciences. The self-organized generation mechanisms are expected to be useful for efficient…

物理与社会 · 物理学 2007-05-23 Yukio Hayashi

Spectral bias implies an imbalance in training dynamics, whereby high-frequency components may converge substantially more slowly than low-frequency ones. To alleviate this issue, we propose a cross-attention-based architecture that…

数值分析 · 数学 2025-12-23 Xiaodong Feng , Tao Tang , Xiaoliang Wan , Tao Zhou

Using a mean-field network formulation of the Bass innovation diffusion model and exact results by Fotouhi and Rabbat on the degree correlations of Barabasi-Albert networks, we compute the times of the diffusion peak and compare them with…

物理与社会 · 物理学 2019-04-03 M. L. Bertotti , G. Modanese

Neurons in the brain communicate with spikes, which are discrete events in time and value. Functional network models often employ rate units that are continuously coupled by analog signals. Is there a qualitative difference implied by these…

无序系统与神经网络 · 物理学 2021-07-20 Christian Keup , Tobias Kühn , David Dahmen , Moritz Helias

We investigate the effect of network architecture on burst and spike synchronization in a directed scale-free network (SFN) of bursting neurons, evolved via two independent $\alpha-$ and $\beta-$processes. The $\alpha-$process corresponds…

神经元与认知 · 定量生物学 2015-10-05 Sang-Yoon Kim , Woochang Lim

Although native speech and music envelope following responses (EFRs) play a crucial role in auditory processing and cognition, their frequency profile, such as the dominating frequency and spectral coherence, is largely unknown. We have…

音频与语音处理 · 电气工程与系统科学 2025-07-09 Md. Mahbub Hasan , Md Rakibul Hasan , Md Zakir Hossain , Tom Gedeon

Scale-free networks are ubiquitous in social, biological and technological networked systems. Dynamic Scale-free networks and their synchronizations are important to understand and predict the behavior of social, biological and…

社会与信息网络 · 计算机科学 2024-09-16 Rakib Hassan Pran

We study the relationship between the modularity of scale-free excitable networks and their ability to support self-sustained oscillation patterns. We find that the probability for a network of given degree-distribution exponent to be able…

物理与社会 · 物理学 2018-11-19 Jason Danison , Miguel Perez

Scale-free (SF) networks exhibiting a power-law degree distribution can be grouped into the assortative, dissortative and neutral networks according to the behavior of the degree-degree correlation coefficient. Here we investigate the…

统计力学 · 物理学 2009-11-07 K. -I. Goh , E. Oh , B. Kahng , D. Kim

Conventional speech enhancement technique such as beamforming has known benefits for far-field speech recognition. Our own work in frequency-domain multi-channel acoustic modeling has shown additional improvements by training a spatial…

声音 · 计算机科学 2020-02-10 Taejin Park , Kenichi Kumatani , Minhua Wu , Shiva Sundaram

This paper studies the link between resting-state functional connectivity (FC), measured by the correlations of the fMRI BOLD time courses, and structural connectivity (SC), estimated through fiber tractography. Instead of a static analysis…

Many complex natural and physical systems exhibit patterns of interconnection that conform, approximately, to a network structure referred to as scale-free. Preferential attachment is one of many algorithms that have been introduced to…

物理与社会 · 物理学 2014-11-18 Linjun Zhang , Michael Small , Kevin Judd

We consider a directed Barab\'{a}si-Albert scale-free network model with symmetric preferential attachment with the same in- and out-degrees, and study emergence of sparsely synchronized rhythms for a fixed attachment degree in an…

神经元与认知 · 定量生物学 2015-09-02 Sang-Yoon Kim , Woochang Lim

Most biological signals are non-Gaussian, reflecting their origins in highly nonlinear physiological systems. A versatile set of techniques for studying non-Gaussian signals relies on the spectral representations of higher moments, known as…

统计方法学 · 统计学 2019-01-30 Christopher K. Kovach , Hiroyuki Oya , Hiroto Kawasaki

Spectrally efficient communication is studied for short-reach fiber-optic links with chromatic dispersion (CD) and receivers that employ direction-detection and oversampling. Achievable rates and symbol error probabilities are computed by…