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Fractional-order dynamical systems are used to describe processes that exhibit temporal long-term memory and power-law dependence of trajectories. There has been evidence that complex neurophysiological signals like electroencephalogram…

Optimization and Control · Mathematics 2019-10-02 Orlando Romero , Sarthak Chatterjee , Sérgio Pequito

Factor analysis has been extensively used to reveal the dependence structures among multivariate variables, offering valuable insight in various fields. However, it cannot incorporate the spatial heterogeneity that is typically present in…

Methodology · Statistics 2024-11-14 Yanxiu Jin , Tomoya Wakayama , Renhe Jiang , Shonosuke Sugasawa

Neuronal responses to complex stimuli and tasks can encompass a wide range of time scales. Understanding these responses requires measures that characterize how the information on these response patterns are represented across multiple…

Neurons and Cognition · Quantitative Biology 2019-12-23 Ryan John Cubero , Matteo Marsili , Yasser Roudi

Investigating the spectral properties of the neural covariates that underlie spiking activity is an important problem in systems neuroscience, as it allows to study the role of brain rhythms in cognitive functions. While the spectral…

Signal Processing · Electrical Eng. & Systems 2019-06-21 Proloy Das , Behtash Babadi

One of most popular experimental techniques for investigation of brain activity is the so-called method of evoked potentials: the subject repeatedly makes some movements (by his/her finger) whereas brain activity and some auxiliary signals…

Applications · Statistics 2017-06-01 A. K. Gorshenin , V. Yu. Korolev , A. Yu. Korchagin , T. V. Zakharova , A. I. Zeifman

This paper proposes a novel, highly effective spectrum sensing algorithm for cognitive radio and whitespace applications. The proposed spectral covariance sensing (SCS) algorithm exploits the different statistical correlations of the…

Networking and Internet Architecture · Computer Science 2010-05-07 Jaeweon Kim , Jeffrey G. Andrews

Scaling temporal dynamics in functional MRI (fMRI) signals have been evidenced for a decade as intrinsic characteristics of ongoing brain activity (Zarahn et al., 1997). Recently, scaling properties were shown to fluctuate across brain…

Statistics Theory · Mathematics 2013-08-21 P. Ciuciu , G. Varoquaux , P. Abry , S. Sadaghiani , A. Kleinschmidt

We compare the efficiency of different matrix product state (MPS) based methods for the calculation of two-time correlation functions in open quantum systems. The methods are the purification approach [1] and two approaches [2,3] based on…

Strongly Correlated Electrons · Physics 2020-09-17 Stefan Wolff , Ameneh Sheikhan , Corinna Kollath

Multimodal behavior involves multiple processing stations distributed across distant brain regions, but our understanding of how such distributed processing is coordinated in the brain is limited. Here we take a decoding approach to this…

Neurons and Cognition · Quantitative Biology 2019-01-25 Ohad Felsenstein , Idan Tal , Michal Ben-Shachar , Moshe Abeles , Gal Chechik

Due to rapid advances in multielectrode recording technology, the local field potential (LFP) has again become a popular measure of neuronal activity in both basic research and clinical applications. Proper understanding of the LFP requires…

In this paper we first describe the class of log-Gaussian Cox processes (LGCPs) as models for spatial and spatio-temporal point process data. We discuss inference, with a particular focus on the computational challenges of likelihood-based…

Methodology · Statistics 2013-12-24 Peter J. Diggle , Paula Moraga , Barry Rowlingson , Benjamin M. Taylor

Cyber-Physical Systems~(CPS) consist of collaborative, networked and tightly intertwined computational (logical) and physical components, each operating at different spatial and temporal scales. Hence, the spatial and temporal requirements…

Logic in Computer Science · Computer Science 2019-04-19 Ezio Bartocci , Luca Bortolussi , Michele Loreti , Laura Nenzi

Functional mixed models are widely useful for regression analysis with dependent functional data, including longitudinal functional data with scalar predictors. However, existing algorithms for Bayesian inference with these models only…

Methodology · Statistics 2023-06-14 Thomas Y. Sun , Daniel R. Kowal

In this paper, we develop an approach to modeling high-dimensional networks with a large number of nodes arranged in a hierarchical and modular structure. We propose a novel multi-scale factor analysis (MSFA) model which partitions the…

Applications · Statistics 2020-04-10 Chee-Ming Ting , Hernando Ombao , Sh-Hussain Salleh

Mixed-signal neuromorphic processors with brain-like organization and device physics offer an ultra-low-power alternative to the unsustainable developments of conventional deep learning and computing. However, realizing the potential of…

Neural and Evolutionary Computing · Computer Science 2022-08-05 Mattias Nilsson , Foteini Liwicki , Fredrik Sandin

We consider monotonic, multiple regression for a set of contiguous regions (lattice data). The regression functions permissibly vary between regions and exhibit geographical structure. We develop new Bayesian non-parametric methodology…

Methodology · Statistics 2019-04-16 Christian Rohrbeck , Deborah Costain , Arnoldo Frigessi

Digital technologies (e.g., mobile phones) can be used to obtain objective, frequent, and real-world digital phenotypes from individuals. However, modeling these data poses substantial challenges since observational data are subject to…

Applications · Statistics 2026-05-12 Tianchen Xu , Yuan Chen , Donglin Zeng , Yuanjia Wang

Several statistical and machine learning methods are proposed to estimate the type and intensity of physical load and accumulated fatigue . They are based on the statistical analysis of accumulated and moving window data subsets with…

Machine Learning · Computer Science 2018-12-11 Sergii Stirenko , Gang Peng , Wei Zeng , Yuri Gordienko , Oleg Alienin , Oleksandr Rokovyi , Nikita Gordienko

Long-range temporal coherence (LRTC) is quite common to dynamic systems and is fundamental to the system function. LRTC in the brain has been shown to be important to cognition. Assessing LRTC may provide critical information for…

Neurons and Cognition · Quantitative Biology 2024-07-10 Ze Wang

Brain activity following stimulus presentation and during resting state are often the result of highly coordinated responses of large numbers of neurons both locally and globally. Coordinated activity of neurons can give rise to…

Applications · Statistics 2015-07-20 Carolina Euan , Hernando Ombao , Joaquin Ortega
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