  The number of documents available into Internet moves each day up. For this
reason, processing this amount of information effectively and expressibly
becomes a major concern for companies and scientists. Methods that represent a
textual document by a topic representation are widely used in Information
Retrieval (IR) to process big data such as Wikipedia articles. One of the main
difficulty in using topic model on huge data collection is related to the
material resources (CPU time and memory) required for model estimate. To deal
with this issue, we propose to build topic spaces from summarized documents. In
this paper, we present a study of topic space representation in the context of
big data. The topic space representation behavior is analyzed on different
languages. Experiments show that topic spaces estimated from text summaries are
as relevant as those estimated from the complete documents. The real advantage
of such an approach is the processing time gain: we showed that the processing
time can be drastically reduced using summarized documents (more than 60\% in
general). This study finally points out the differences between thematic
representations of documents depending on the targeted languages such as
English or latin languages.
