Extraction of Ordering Information Sample Clauses

Extraction of Ordering Information using Topslam ∈ × ∈ × Let Y RN D be the extracted gene expression matrix and X RN Q the learnt latent space by GPLVM, Bayesian GPLVM or MRD (Secs. 2.6, 2.5, 2.3). To extract ordering information from the samples, we need to make an assumption about the representation of cells in the latent space. We assume two cells to be in a similar differentiation state, if their gene expression pattern is similar. If two cells are close in the latent space, we can assign them close in the extracted ordering. One im- portant assumption here is, that the dimensionality reduction technique preserves similarities, so that the ordering in original space will be represented in the latent space.
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