“…The generalized unsupervised manifold alignment algorithm (GUMA) (Cui et al ., 2014), which uses a local geometry matching term, and MAGAN (Amodio and Krishnaswamy, 2018), which uses two generative adversarial networks (GANs), are examples of tools that find matchings of the cells between the two datasets. Recent methods that embed the two modalities into a common latent space and then attempt to align the embedded low-dimensional manifolds are SCOT (Demetci et al ., 2022), Pomona (Cao et al ., 2022a), and uniPort (Cao et al ., 2022b) all of which employ Gromov-Wasserstein optimal transport for alignment, and MMD-MA (Singh et al ., 2020), which aims to minimize the maximum mean discrepancy between the data sets in the latent space. Several methods rely on deep neural architectures to solve the manifold alignment task (Zuo and Chen, ???…”