A CLT for the LSS of large-dimensional sample covariance matrices with diverging spikes
Page 1 The Annals of Statistics 2023, Vol. 51, No. 5, 2246–2271 https://doi.org/10.1214/23-AOS2333 …

Introduction Magnetoencephalography (MEG) is a powerful technique for studying the
human brain function. However, accurately estimating the number of sources that contribute …

As wireless communication advances, the spectrum is becoming more crowded and
overlapping, making it essential to determine the number of signal sources based on the …

A new second-order dynamic method (SODM) is proposed for solving ill-posed linear
inverse problems in Hilbert spaces. The SODM can be viewed as a combination of Tikhonov …

We present an approach for solving optimization problems with or without constrains which
we call Dynamical Functional Particle Method (DFMP). The method consists of formulating …

In this paper, we establish the central limit theorem (CLT) for linear spectral statistics (LSS)
of large-dimensional sample covariance matrix when the population covariance matrices …

In this paper, we consider an inverse source problem for elliptic partial differential equations
with both Dirichlet and Neumann boundary conditions. The unknown source term is to be …

Quantifying time-varying sources in magnetoencephalography-A discrete approach Page 1 The
Annals of Applied Statistics 2020, Vol. 14, No. 3, 1379–1408 https://doi.org/10.1214/19-AOAS1321 …

1. Illustration of the Switch Procedure. In Section 2.4 of Yao et al.(2018a), the switch
procedure was proposed to reduce the computational complexity of calculating the discrete …

The conventional beamformers that reconstruct the cerebral origin of brain activity measured
outside the head via electro-and magnetoencephalography (EEG/MEG) suffer from depth …