|
|
|
import numpy as np
|
|
|
|
|
|
|
|
|
|
|
|
class ConditionalIntensityMatrix:
|
|
|
|
"""
|
|
|
|
Abstracts the Conditional Intesity matrix of a node as aggregation of the state residence times vector
|
|
|
|
and state transition matrix and the actual CIM matrix.
|
|
|
|
|
|
|
|
:_state_residence_times: state residence times vector
|
|
|
|
:_state_transition_matrix: the transitions count matrix
|
|
|
|
:_cim: the actual cim of the node
|
|
|
|
"""
|
|
|
|
def __init__(self, state_residence_times: np.array, state_transition_matrix: np.array):
|
|
|
|
self._state_residence_times = state_residence_times
|
|
|
|
self._state_transition_matrix = state_transition_matrix
|
|
|
|
self._cim = self.state_transition_matrix.astype(np.float64)
|
|
|
|
|
|
|
|
def compute_cim_coefficients(self):
|
|
|
|
"""
|
|
|
|
Compute the coefficients of the matrix _cim by using the following equality q_xx' = M[x, x'] / T[x]
|
|
|
|
|
|
|
|
Parameters:
|
|
|
|
void
|
|
|
|
Returns:
|
|
|
|
void
|
|
|
|
"""
|
|
|
|
np.fill_diagonal(self._cim, self._cim.diagonal() * -1)
|
|
|
|
self._cim = ((self._cim.T + 1) / (self._state_residence_times + 1)).T
|
|
|
|
|
|
|
|
@property
|
|
|
|
def state_residence_times(self):
|
|
|
|
return self._state_residence_times
|
|
|
|
|
|
|
|
@property
|
|
|
|
def state_transition_matrix(self):
|
|
|
|
return self._state_transition_matrix
|
|
|
|
|
|
|
|
@property
|
|
|
|
def cim(self):
|
|
|
|
return self._cim
|
|
|
|
|
|
|
|
def __repr__(self):
|
|
|
|
return 'CIM:\n' + str(self.cim)
|
|
|
|
|