\chapter*{Statement of Intellectual Contribution}
The research in this thesis is largely the work of myself along with my supervisors Prof. Rafal Bogacz and Prof. Helen Barron. Co-authorship is detailed below:
\begin{itemize}
    \item Chapter \ref{chap:am} is based on the publication \href{https://journals.plos.org/ploscompbiol/article?id=10.1371/journal.pcbi.1010719}{\textit{Recurrent predictive coding models for associative memory employing covariance learning}}, of which I am the lead author and Tommaso Salvatori, Beren Millidge, Yuhang Song have contributed to the experimentation and editing of the work. Prof. Thomas Lukasiewicz and Prof. Rafal Bogacz have provided supervision. Section \ref{sec:rpcn-hn} of this chapter is my main theoretical contribution to the preprint \href{https://www.biorxiv.org/content/10.1101/2024.06.10.597876v1.full.pdf}{\textit{Predictive coding model can detect novelty on different levels of representation hierarchy}}, of which Tianjin Li was the first author while he was a Master’s student at the University of Oxford, and I co-authored and co-supervised this work with Prof. Rafal Bogacz. 
    \item Chapter \ref{chap:time} is based on the publication \href{https://journals.plos.org/ploscompbiol/article?id=10.1371/journal.pcbi.1011183}{\textit{Predictive coding networks for temporal prediction}}, of which Beren Millidge and I were co-first author. Specifically, Beren developed the initial idea of temporal predictive coding and its conceptual relationship to Kalman filtering, and designed the linear filtering experiments. My contributions consist of the formalization of the relationship to Bayesian filtering, completing the filtering experiments, investigating the covariance-encoding property of the model, and designed and performed experiments with natural movies. Prof. Nicol Harper and Prof. Rafal Bogacz provided supervision. A special thank you goes to Sebastian Klavinskis-Whiting for providing the natural movie data.
    \item Chapter \ref{chap:seqmem} is based on the publication \href{https://proceedings.neurips.cc/paper_files/paper/2023/file/8a8b9c7f979e8819a7986b3ef825c08a-Paper-Conference.pdf}{\textit{Sequential memory with temporal predictive coding}}, of which I am the lead author and Prof. Helen Barron and Prof. Rafal Bogacz provided supervision.
    \item Chapter \ref{chap:grid} is based on the preprint \href{https://arxiv.org/pdf/2410.01022}{\textit{Learning grid cells by predictive coding}}, of which I am the lead author and Prof. Helen Barron and Prof. Rafal Bogacz provided supervision. 
\end{itemize}

