Signature methods for brain-computer interfaces

X Xu, D Lee, N Drougard, RN Roy - Scientific Reports, 2023 - nature.com
Brain-computer interfaces (BCIs) allow direct communication between one's central nervous
system and a computer without any muscle movement hence by-passing the peripheral …

Cyclicity Analysis of the Ornstein-Uhlenbeck Process

V Kaushik - arXiv preprint arXiv:2409.12102, 2024 - arxiv.org
In this thesis, we consider an $ N $-dimensional Ornstein-Uhlenbeck (OU) process satisfying
the linear stochastic differential equation $ d\mathbf x (t)=-\mathbf B\mathbf x (t) …

Predicting Anorexia Nervosa and Autistic Characteristics in Individuals with Anorexia Nervosa from Resting State Cyclic Connectivity

D Halls, J Leppanen, S Williams, K Tchanturia - bioRxiv, 2023 - biorxiv.org
Abstract Background Resting state functional Magnetic Resonance Imaging (rsfMRI)
differences have been reported in individuals with anorexia nervosa (AN). However …

On geometric & topological methods for analysis of biophysical time series data

IT Abraham - 2022 - ideals.illinois.edu
Time series analysis is staple work horse in many fields including climatology, econometrics,
stock and derivatives markets, systems engineering, etc. Traditional analysis of time series …