Talked more about the Johnson-Lindenstrauss Theorem and the Norm Preservation Proposition. See <a href="https://ttic.uchicago.edu/~gregory/courses/LargeScaleLearning/lectures/jl.pdf">these notes</a> for more information.
<br><br>
<center>END OF PART I OF THE MODULE</center>

<br>
Started to talk about the paper <a href=" https://www.pnas.org/content/pnas/108/17/7265.full.pdf">"Topology based data analysis identifies a subgroup of
breast cancers with a unique mutational profile and
excellent survival"</a> by Nicolau, Levine and Carlsson.