Example #1
0
    def setUp(self):
        self.k = 4

        p = np.zeros(10)
        q = np.zeros(10)
        p[0:-1] = 0.5
        q[1:] = 0.5
        p[4] = 0.01
        q[6] = 0.1

        self.bdc = birth_death_chain(q, p, sparse=True)

        self.mu = self.bdc.stationary_distribution
        self.T = self.bdc.transition_matrix
        """Test matrix-vector product against spectral decomposition"""
        R, D, L = rdl_decomposition(self.T, k=self.k)
        self.L = L
        self.R = R
        self.ts = timescales(self.T, k=self.k)
        self.times = np.array([1, 5, 10, 20, 100])

        ev = np.diagonal(D)
        self.ev_t = ev[np.newaxis, :]**self.times[:, np.newaxis]
        """Observable"""
        obs1 = np.zeros(10)
        obs1[0] = 1
        obs1[1] = 1
        self.obs = obs1
        """Initial distribution"""
        w0 = np.zeros(10)
        w0[0:4] = 0.25
        self.p0 = w0
Example #2
0
    def setUp(self):
        self.k = 4

        p = np.zeros(10)
        q = np.zeros(10)
        p[0:-1] = 0.5
        q[1:] = 0.5
        p[4] = 0.01
        q[6] = 0.1

        self.bdc = birth_death_chain(q, p, sparse=True)

        self.mu = self.bdc.stationary_distribution
        self.T = self.bdc.transition_matrix
        R, D, L = rdl_decomposition(self.T, k=self.k)
        self.L = L
        self.R = R
        self.ts = timescales(self.T, k=self.k)
        self.times = np.array([1, 5, 10, 20, 100])

        ev = np.diagonal(D)
        self.ev_t = ev[np.newaxis, :]**self.times[:, np.newaxis]

        obs1 = np.zeros(10)
        obs1[0] = 1
        obs1[1] = 1
        obs2 = np.zeros(10)
        obs2[8] = 1
        obs2[9] = 1

        self.obs1 = obs1
        self.obs2 = obs2
        self.one_vec = np.ones(10)
Example #3
0
    def setUp(self):
        self.k = 4

        p = np.zeros(10)
        q = np.zeros(10)
        p[0:-1] = 0.5
        q[1:] = 0.5
        p[4] = 0.01
        q[6] = 0.1

        self.bdc = birth_death_chain(q, p, sparse=True)
        self.mu = self.bdc.stationary_distribution
        self.T = self.bdc.transition_matrix
        R, D, L = rdl_decomposition(self.T, k=self.k)
        self.L = L
        self.R = R
        self.ts = timescales(self.T, k=self.k)
        self.times = np.array([1, 5, 10, 20])

        ev = np.diagonal(D)
        self.ev_t = ev[np.newaxis, :]**self.times[:, np.newaxis]

        self.tau = 7.5
        """Observables"""
        obs1 = np.zeros(10)
        obs1[0] = 1
        obs1[1] = 1
        obs2 = np.zeros(10)
        obs2[8] = 1
        obs2[9] = 1

        self.obs1 = obs1
        self.obs2 = obs2
        """Initial vector for relaxation"""
        w0 = np.zeros(10)
        w0[0:4] = 0.25
        self.p0 = w0