Online or stochastic algorithms (Hoffman et al., 2010(Hoffman et al., , 2013 achieve some scalability but at the cost of sacrificing the quality of topics.
the basic Latent Dirichlet Allocation (Blei et al., 2003) is still prevalent for practitioners despite various recent advances (Srivastava and Sutton, 2017;Xun et al., 2017;Xu et al., 2018).