"

**What are the 3-dimensional subspaces to which the projections are made in figure A? Are they really subspaces or are they quotient spaces?**"

- These are the figures which are mentioned:

- A link to where the figures are from (p.10): Single-cell transcriptomics reveals distinct

inflammation-induced microglia signatures

"

*leads to nine distinct clusters in a two-dimensional state space inferred by generalized regression modelling*"

- Why do they talk about a two-dimensional state space. The question mentions a three-dimensional space and on the figure we see 3 axes.
- Using some method we project an n-dimensional space to a 2 (or 3)-dimensional space. What does he mean by "
*subspaces/quotient spaces to which the projections are made*" How would I check this? - Do I need to find out how the branching analysis or
**G**eneralized**R**egression**M**odelling works? By G.R.M. do they mean this: Generalized linear model?

**I've been told to ask for further clarification on this problem, but my supervisor is currently travelling and hasn't responded to my e-mails yet. So, I'm just hoping that someone might be able to assist before my next meeting. Thanks for any help given.**

Best,

Rik

Best,

Rik