JohannesGuss
commented
4 months ago @ppdewolf
The implementation (used by R and muArgus) will always treat the input as "disjoint union", otherwise a units could belong to two or more municipalities/girdcells/.... Or do I missunderstand your question?
The first one ${x}_{i,j} = \mathbf{X} \in \mathbb{R}^{n\times p}$ is a matrix notation.
\mathbf{x}_{q_1},\ldots,\mathbf{x}_{q_Q} \qquad \text{,} \qquad \mathbf{x}_{t_1},\ldots,\mathbf{x}_{t_T}are (possibly different) subsets of variables. Agree that this is not ideal. Tried to fix with PR #93
Edit: I was apparently not able to make github render all the LaTeX in this comment in-line...
ppdewolf
Not sure where/how to place these kind of questions:
The second displayed formule includes a union symbol with a dot above it. Is this intended to denote a "disjoint union"? If so, is it actually needed to be a "disjoint union" symbol? Explain the symbol in the text?
At the end of the text on TRS (chapter 3) it states $\mathbf{x}_{1(q)},\ldots,\mathbf{x}_q$ Is this correct? What does the subscript $1(q)$ mean here?
What are all the different x-variable-notations: $
\{x\}_{i,j}$ (subscripts $i,j$) $\mathbf{x}_{q_1},\ldots ,\mathbf{x}_{q_Q}$ (subscripts $q_1$ to $q_Q$) $\mathbf{x}_{t_1},\ldots ,\mathbf{x}_{t_T}$ (subscripts $t_1$ to $t_T$)There are $p$ characteristics mention at the start of the text, but also $Q$ and $T$ are mentioned. Please explain what each notation means (if different) or make the notation consistent.