def test_correct_caching3(self):
# setup equation
eqn = Seir(population=1)
# setup ode solver
ti = 0.
tf = 2.
n_steps = 3
rk = RKSolver(ti, tf, n_steps)
rk.output_frequency = 1
rk.set_output_storing_flag(True)
rk.equation = eqn
u0 = np.array([100., 0., 10., 0.])
rk.set_initial_condition(u0)
# setup cached simulation object
cached_sim = CachedSEIRSimulation(rk)
cached_sim.set_gradient_flag(False)
params = np.array([2.3, 0.2, 1. / 3., 1. / 4.])
f = cached_sim(params)[0]
f1 = np.copy(f)
params2 = np.array([2.32, 0.2, 1. / 3., 1. / 4.])
f2 = cached_sim(params2)[0]
assert not np.allclose(f1, f2)
def test_correct_caching2(self):
# setup equation
eqn = Seir(population=1)
# setup ode solver
ti = 0.
tf = 2.
n_steps = 3
rk = RKSolver(ti, tf, n_steps)
rk.output_frequency = 1
rk.set_output_storing_flag(True)
rk.equation = eqn
u0 = np.array([100., 0., 10., 0.])
du0_dp = np.zeros((eqn.n_components(), eqn.n_parameters()))
rk.set_initial_condition(u0, du0_dp)
rk.set_output_gradient_flag(True)
# setup cached simulation object
cached_sim = CachedSEIRSimulation(rk)
params = np.array([2.3, 0.2, 1. / 3., 1. / 4.])
(f, df) = cached_sim(params)
f1 = np.copy(f)
df1 = np.copy(df)
f *= 0.
df += 0.
(f2, df2) = cached_sim(params)
assert np.allclose(f1, f2)
assert np.allclose(df1, df2)
class TestModelGradOp(utt.InferShapeTester):
rng = np.random.RandomState(43)
def setUp(self):
super(TestModelGradOp, self).setUp()
self.setUpModel()
def setUpModel(self):
# set ode solver
ti = 0
tf = 20
n_steps = tf
self.rk = RKSolver(ti, tf, n_steps)
self.rk.output_frequency = 1
self.rk.set_output_storing_flag(True)
eqn = Seir()
eqn.tau = 5
self.rk.equation = eqn
n_pop = 7E6
u0 = np.array([n_pop - 1, 0, 1, 0])
u0 /= n_pop
du0_dp = np.zeros((eqn.n_components(), eqn.n_parameters()))
self.rk.set_initial_condition(u0, du0_dp)
# set cached_sim object
cached_sim = CachedSEIRSimulation2(self.rk)
cached_sim.set_gradient_flag(True)
# set theano model op object
self.op_class = ModelGradOp(cached_sim)
def test_perform(self):
b = theano.tensor.dscalar('myvar0')
s = theano.tensor.dscalar('myvar1')
g = theano.tensor.dscalar('myvar2')
k = theano.tensor.dscalar('myvar3')
t = theano.tensor.dscalar('myvar4')
dL_df = theano.tensor.matrix()
f = theano.function([b, s, g, k, t, dL_df],
self.op_class((b, s, g, k, t), dL_df))
s_val = 1. / 5.2
g_val = 1. / 2.28
b_val = 2.13 * g_val
k_val = 1.1
t_val = 10
dL_df_val = np.random.rand(1, 21)
out = f(b_val, s_val, g_val, k_val, t_val, dL_df_val)
self.rk.equation.beta = b_val
self.rk.equation.sigma = s_val
self.rk.equation.gamma = g_val
self.rk.equation.kappa = k_val
self.rk.equation.tint = t_val
self.rk.solve()
(_, _, df_dp) = self.rk.get_outputs()
out_act = df_dp[0, :, :] @ dL_df_val.T
out_act = np.reshape(out_act, (self.rk.equation.n_parameters(), ))
assert np.allclose(out_act, out)
class TestModelOp(utt.InferShapeTester):
rng = np.random.RandomState(43)
def setUp(self):
super(TestModelOp, self).setUp()
self.setUpModel()
def setUpModel(self):
# set ode solver
ti = 0
tf = 20
n_steps = tf
self.rk = RKSolver(ti, tf, n_steps)
self.rk.output_frequency = 1
self.rk.set_output_storing_flag(True)
eqn = Seir()
self.rk.equation = eqn
n_pop = 7E6
u0 = np.array([n_pop - 1, 0, 1, 0])
u0 /= n_pop
du0_dp = np.zeros((eqn.n_components(), eqn.n_parameters()))
self.rk.set_initial_condition(u0, du0_dp)
# set cached_sim object
cached_sim = CachedSEIRSimulation(self.rk)
cached_sim.set_gradient_flag(True)
# set theano model op object
self.op_class = ModelOp(cached_sim)
#@unittest.skip("changed output of SEIR eq")
def test_perform(self):
b = theano.tensor.dscalar('myvar0')
s = theano.tensor.dscalar('myvar1')
g = theano.tensor.dscalar('myvar2')
f = theano.function([b, s, g], self.op_class((b, s, g)))
s_val = 1. / 5.2
g_val = 1. / 2.28
b_val = 2.13 * g_val
out = f(b_val, s_val, g_val)
self.rk.equation.beta = b_val
self.rk.equation.sigma = s_val
self.rk.equation.gamma = g_val
self.rk.solve()
(_, out_act, _) = self.rk.get_outputs()
assert np.allclose(out_act, out)
def test_grad(self):
s_val = 1. / 5.2
g_val = 1. / 2.28
b_val = 2.13 * g_val
rng = np.random.RandomState(42)
theano.tensor.verify_grad(self.op_class, [(b_val, s_val, g_val)],
rng=rng)