Stable between‐subject statistical inference from unstable within‐subject functional connectivity estimates

MULAN: Evaluation and ensemble statistical inference for functional connectivity

Many analysis methods exist to extract graphs of functional connectivity from neuronal networks. Confidence in the results is limited because, (i) different methods give different results, (ii) parameter setting directly influences the final result, and (iii) systematic evaluation of the results is not always performed. Here, we introduce MULAN (MULtiple method ANalysis), which assumes an ensem...

Inference About Functional Connectivity From Multiple Neural Spike Trains

In neuroscience study, it is desirable to understand how the neuronal activities are associated and how the association changes with time based on multiple spike train recordings from multielectrode array. The term functional connectivity is used to describe the association between neurons and the change of association with task purpose. In this proposed thesis, I will study the statistical det...

Statistical Inference for Stable Point Processes

Ancestral Inference from Functional Data: Statistical Methods and Numerical Examples

Many biological characteristics of evolutionary interest are not scalar variables but continuous functions. Here we use phylogenetic Gaussian process regression to model the evolution of simulated functionvalued traits. Given function-valued data only from the tips of an evolutionary tree and utilising independent principal component analysis (IPCA) as a method for dimension reduction, we const...

Statistical Inference of Functional Connectivity in Neuronal Networks using Frequent Episodes

Identifying the spatio-temporal network structure of brain activity from multi-neuronal data streams is one of the biggest challenges in neuroscience. Repeating patterns of precisely timed activity across a group of neurons is potentially indicative of a microcircuit in the underlying neural tissue. Frequent episode discovery, a temporal data mining framework, has recently been shown to be a co...