, n_comps=15, copy=False)

Diffusion Maps [Coifman05] [Haghverdi15] [Wolf17].

Diffusion maps [Coifman05] has been proposed for visualizing single-cell data by [Haghverdi15]. The tool uses the adapted Gaussian kernel suggested by [Haghverdi16] in the implementation of [Wolf17].

The width (“sigma”) of the connectivity kernel is implicitly determined by the number of neighbors used to compute the single-cell graph in neighbors(). To reproduce the original implementation using a Gaussian kernel, use method=='gauss' in neighbors(). To use an exponential kernel, use the default method=='umap'. Differences between these options shouldn’t usually be dramatic.

adata : AnnData

Annotated data matrix.

n_comps : int, optional (default: 15)

The number of dimensions of the representation.

copy : bool (default: False)

Return a copy instead of writing to adata.


  • Depending on copy, returns or updates adata with the following fields.
  • X_diffmap (adata.obsm) – Diffusion map representation of data, which is the right eigen basis of the transition matrix with eigenvectors as columns.
  • diffmap_evals (np.ndarray (adata.uns)) – Array of size (number of eigen vectors). Eigenvalues of transition matrix.