I am a PhD student in the Cambridge Image Analysis Group supported by the HDR UK, Wellcome Trust and Alan Turing Institute. In addition, I am also a Cambridge Trust Scholar funded by the Cambridge Commonwealth, European and International Trust. I previously completed my Master's degree in Mathematics at the University of Leeds as a Tetley Lupton Scholar. My research is mostly focused on the analysis of graph-based semi-supervised algorithms using tools from calculus of variation and optimal transport. I am also interested in the potential application of these state-of-art machine learning algorithms to real-world applications.