Understanding the shopping motivations behind market baskets has high
commercial value in the grocery retail industry. Analyzing shopping
transactions demands techniques that can cope with the volume and
dimensionality of grocery transactional data while keeping interpretable
outcomes. Latent Dirichlet Allocation (LDA) provides a suitable framework to
process grocery transactions and to discover a broad representation of
customers' shopping motivations. However, summarizing the posterior
distribution of an LDA model is challenging, while individual LDA draws may not
be coherent and cannot capture topic uncertainty. Moreover, the evaluation of
LDA models is dominated by model-fit measures which may not adequately capture
the qualitative aspects such as interpretability and stability of topics.
In this paper, we introduce clustering methodology that post-processes
posterior LDA draws to summarise the entire posterior distribution and identify
semantic modes represented as recurrent topics. Our approach is an alternative
to standard label-switching techniques and provides a single posterior summary
set of topics, as well as associated measures of uncertainty. Furthermore, we
establish a more holistic definition for model evaluation, which assesses topic
models based not only on their likelihood but also on their coherence,
distinctiveness and stability. By means of a survey, we set thresholds for the
interpretation of topic coherence and topic similarity in the domain of grocery
retail data. We demonstrate that the selection of recurrent topics through our
clustering methodology not only improves model likelihood but also outperforms
the qualitative aspects of LDA such as interpretability and stability. We
illustrate our methods on an example from a large UK supermarket chain.Comment: 20 pages, 9 figure