A Wavelet-Based Independence Test for Functional Data With an Application to MEG Functional Connectivity

نویسندگان

چکیده

Measuring and testing the dependency between multiple random functions is often an important task in functional data analysis. In literature, a model-based method relies on model which subject to risk of misspecification, while model-free only provides correlation measure inadequate test independence. this paper, we adopt Hilbert–Schmidt Independence Criterion (HSIC) two functions. We develop two-step procedure by first pre-smoothing each function based its discrete noisy measurements then applying HSIC recovered To ensure compatibility steps such that effect error subsequent asymptotically negligible when are densely measured, propose new wavelet thresholding for use Besov-norm-induced kernels HSIC. also provide corresponding asymptotic The superior numerical performance proposed over existing ones demonstrated simulation study. Moreover, magnetoencephalography (MEG) application, connectivity patterns identified more anatomically interpretable than those methods.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

a new type-ii fuzzy logic based controller for non-linear dynamical systems with application to 3-psp parallel robot

abstract type-ii fuzzy logic has shown its superiority over traditional fuzzy logic when dealing with uncertainty. type-ii fuzzy logic controllers are however newer and more promising approaches that have been recently applied to various fields due to their significant contribution especially when the noise (as an important instance of uncertainty) emerges. during the design of type- i fuz...

15 صفحه اول

A wavelet-based method for measuring the oscillatory dynamics of resting-state functional connectivity in MEG

Determining the dynamics of functional connectivity is critical for understanding the brain. Recent functional magnetic resonance imaging (fMRI) studies demonstrate that measuring correlations between brain regions in resting-state activity can be used to reveal intrinsic neural networks. To study the oscillatory dynamics that underlie intrinsic functional connectivity between regions requires ...

متن کامل

Network Parameters for Studying Functional Connectivity in Brain MEG Data

The functional connectivity of various brain regions has been studied here using the knowledge from two different scientific fields. The methods of Synchronization Likelihood (SL) and network theory are applied to magnetoencephalography (MEG) data in an effort to study the brain as a complex network. In this paper the SL method has been used to characterize the functional interactions as ‘‘func...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of the American Statistical Association

سال: 2022

ISSN: ['0162-1459', '1537-274X', '2326-6228', '1522-5445']

DOI: https://doi.org/10.1080/01621459.2021.2020126