dynamo.vf.Wang_action¶
- dynamo.vf.Wang_action(X_input, F, D, dim, N, lamada_=1)[source]¶
Calculate action by path integral by Wang’s method. Quantifying the Waddington landscape and biological paths for development and differentiation. Jin Wang, Kun Zhang, Li Xu, and Erkang Wang, PNAS, 2011
- Parameters
X_input (numpy.ndarray) – The initial guess of the least action path. Default is a straight line connecting the starting and end path.
F (Function) – The reconstructed vector field function. This is assumed to be time-independent.
D (float) – The diffusion constant. Note that this can be a space-dependent matrix.
dim (int) – The feature numbers of the input data.
N (int) – Number of waypoints along the least action path.
lamada (float) – Regularization parameter
- Returns
- Return type
The action function calculated by the Hamilton-Jacobian method.