scvelo.utils.get_transition_matrix

scvelo.utils.get_transition_matrix(adata, vkey='velocity', basis=None, backward=False, self_transitions=True, scale=10, perc=None, threshold=None, use_negative_cosines=False, weight_diffusion=0, scale_diffusion=1, weight_indirect_neighbors=None, n_neighbors=None, vgraph=None, basis_constraint=None)

Computes cell-to-cell transition probabilities.

\[\tilde \pi_{ij} = \frac1{z_i} \exp( \pi_{ij} / \sigma),\]

from the velocity graph \(\pi_{ij}\), with row-normalization \(z_i\) and kernel width \(\sigma\) (scale parameter \(\lambda = \sigma^{-1}\)).

Alternatively, use cellrank.tl.transition_matrix() to account for uncertainty in the velocity estimates.

Parameters:
  • adata (AnnData) – Annotated data matrix.

  • vkey (str (default: ‘velocity’)) – Name of velocity estimates to be used.

  • basis (str or None (default: None)) – Restrict transition to embedding if specified

  • backward (bool (default: False)) – Whether to use the transition matrix to push forward (False) or to pull backward (True)

  • self_transitions (bool (default: True)) – Allow transitions from one node to itself.

  • scale (float (default: 10)) – Scale parameter of gaussian kernel.

  • perc (float between 0 and 100 or None (default: None)) – Determines threshold of transitions to include.

  • use_negative_cosines (bool (default: False)) – If True, negatively similar transitions are taken into account.

  • weight_diffusion (float (default: 0)) – Relative weight to be given to diffusion kernel (Brownian motion)

  • scale_diffusion (float (default: 1)) – Scale of diffusion kernel.

  • weight_indirect_neighbors (float between 0 and 1 or None (default: None)) – Weight to be assigned to indirect neighbors (i.e. neighbors of higher degrees).

  • n_neighbors (int (default: None)) – Number of nearest neighbors to consider around each cell.

  • vgraph (csr matrix or None (default: None)) – Velocity graph representation to use instead of adata.uns[f’{vkey}_graph’].

Return type:

Returns sparse matrix with transition probabilities.