report: Add short description

report/description.tex

@@ -1,4 +1,12 @@
 \section{Problem Description} 
 \label{sec:problem_description}
 
-\lipsum[2-5]~\cite{russell2010artificial}
+\todo{Some simple description of persistence diagrams}
+
+The main idea behind this project was to determine whether or not persistence
+diagrams built on top of documents from different domains differ significantly
+enough between the domains that they alone could be used to classify the texts.
+Because of ease of computation we mainly restricted ourselves to generators up
+to and including with second dimension. This restriction comes with a benefit
+of being somewhat intuitively explainable: generators of dimension 0 count
+\todo{explanations}