Linear Flows

 

  • the determinant of the jacobian is the determinant of
  • One way to make a linear flow that is general, efficient to invert, and for which the Jacobian can be computed efficiently is to parameterize it directly in terms of the LU decomposition
    • where P is a predetermined permutation matrix, L is a lower triangular matrix, U is an upper triangular matrix with zeros on the diagonal, and D is a diagonal matrix that supplies those missing diagonal elements