This document presents a new parsimonious topic model that enhances traditional latent Dirichlet allocation (LDA) by allowing sparse topic representation, where only a subset of topics is deemed relevant for each document. The proposed model improves the Bayesian Information Criterion (BIC) by introducing differentiated cost terms and estimating the number of topics present in an unsupervised manner. Experimental results show that this model outperforms LDA and a sparsity-adjusted version in likelihood and alignment with ground-truth labels.