[Turing-Southampton] S3RI seminar: Marina Knight (University of York), Thursday 18 March
Chieh-Hsi Wu
C-H.Wu at soton.ac.uk
Wed Mar 17 19:01:37 GMT 2021
Dear all,
Hope everyone is having a good week!
Today at 2 pm, we have our last S3RI seminar before the Easter break! Dr Marina Knight (University of York) will speak to us on
"Multiscale spectral modelling for nonstationary time series within a multiple-trial experiment."
Please see below for the details of the talk and how to join the seminar online. This talk will not be recorded.
Hope to see you at the talk later today!
Kind regards,
Jessie
Multiscale spectral modelling for nonstationary time series within a multiple-trial experiment
Marina Knight (University of York)
Within the neurosciences, it is natural to observe variability across time in the dynamics of an underlying brain process. Wavelets are essential in analyzing brain signals because, even within a single trial, brain signals exhibit nonstationary behaviour. However, neurological signals generated within an experiment may also potentially exhibit evolution across trials (replicates) even for identical stimuli. As neurologists consider localized spectra of brain signals to be most informative, here we propose the MULtiple-Trials Locally Stationary Wavelet (MULT-LSW) process that directly gives a stochastic wavelet representation of the time series itself and captures the potential nonstationary behaviour both within and across trials, while accounting for between-trial correlation. Modelling within this new framework allows us to define and rigourously develop the associated wavelet spectral estimation framework and establish its asymptotic properties, yielding a natural desired time and trial-localisation of the process dynamics. By means of thorough simulation studies, we demonstrate the theoretical estimator properties hold in practice. A real data investigation into the evolutionary dynamics of the hippocampus and nucleus accumbens during an associative learning experiment, demonstrate the applicability of our proposed methodology, as well as the new insights it provides.
This is joint work with Jonathan Embleton (York) and Hernando Ombao (KAUST).
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