13 citations · 15 across the 5 of their papers we have counts for
6 papers
Filtrated Common Functional Principal Components for Multivariate Functional data
Shuhao Jiao, Ron D. Frostig, Hernando Ombao
Local field potentials (LFPs) are signals that measure electrical activity in localized cortical regions from implanted tetrodes in the human or animal brain. The LFP signals are c…
Break Point Detection for Functional Covariance
Shuhao Jiao, Ron D. Frostig, Hernando Ombao
Many experiments record sequential trajectories where each trajectory consists of oscillations and fluctuations around zero. Such trajectories can be viewed as zero-mean functional…
Variation Pattern Classification of Functional Data
Shuhao Jiao, Ron D. Frostig, Hernando Ombao
A new classification method for functional data is proposed in this paper. This work is motivated by the need to identify features that discriminate between neurological conditions…
Modeling Spectral Properties in Stationary Processes of Varying Dimensions with Applications to Brain Local Field Potential Signals
Raanju Ragavendar Sundararajan, Ron D. Frostig, Hernando Ombao
A common class of methods for analyzing of multivariate time series, stationary and nonstationary, decomposes the observed series into latent sources. Methods such as principal com…
Modeling Dependence via Copula of Functionals of Fourier Coefficients
Charles Fontaine, Ron D. Frostig, Hernando Ombao
The goal of this paper is to develop a measure for characterizing complex dependence between stationary time series that cannot be captured by traditional measures such as correlat…
Modeling non-linear spectral domain dependence using copulas with applications to rat local field potentials
Charles Fontaine, Ron D. Frostig, Hernando Ombao
This paper intends to develop tools for characterizing non-linear spectral dependence between spontaneous brain signals. We use parametric copula models (both bivariate and vine mo…