dynamo.vf.gen_gradient

dynamo.vf.gen_gradient(dim, N, Function, DiffusionMatrix)[source]

Calculate the gradient of the (learned) vector field function for the least action path (LAP) symbolically

Parameters:

  • dim (int) – The number of dimension of the system.

  • N (int) – The number of the points on the discretized path of the LAP.

  • Function (Callable) – The function of the (learned) vector field function that is needed to calculate the Jacobian matrix.

  • DiffusionMatrix (Callable) – The function that returns the diffusion matrix which can be variable (e.g. gene) dependent

Returns:

The symbolic function that calculates the gradient of the LAP based on the Jacobian of the vector field function. V: A matrix consists of the coordinates of the unstable steady state.

Return type:

ret