Generalized Probabilistic Clustering Projection Models for Discrete Data

Projection and Clustering are two main approaches in text mining. The goal of projection is to map the high-dimensional data into a lower-dimensional latent space, where the clustering task is to categorize data into different groups based on their similarity features. Several methods have been proposed to retrieve relevant information based on the co-occurrence of the data. However, the majority of works do not examine the joint effect of the projection and clustering, especially the effect of the prior distribution in the case of discrete data. For this purpose, in this paper, we propose a novel approach using a probabilistic clustering-projection framework where Dirichlet distribution, generalized Dirichlet distribution, and Beta-Liouville distribution are implemented as priors to study the impacts of prior knowledge in the perplexity of the model. Using a variational EM algorithm we estimate latent variables associated with clustering and projection parameters, iteratively updating the lower bound of the log-likelihood until convergence. Our experimental results demonstrate reduced perplexity using generalized Dirichlet and Beta-Liouville priors compared to Dirichlet. Moreover, we evaluate the model's performance in word projection and document clustering tasks, finding that both generalized Dirichlet and Beta-Liouville outperform Dirichlet in these domains.