Ejemplo n.º 1
0
class Agent:
    def __init__(self,
                 environment,
                 x_dim,
                 y_dim,
                 state_dim,
                 action_dim,
                 observation_space_low,
                 observation_space_high,
                 action_space_low,
                 action_space_high,
                 unroll_steps,
                 no_samples,
                 discount_factor,
                 random_matrices,
                 biases,
                 basis_dims,
                 hidden_dim=32,
                 learn_reward=0,
                 use_mean_reward=0,
                 update_hyperstate=1,
                 policy_use_hyperstate=1,
                 learn_diff=0):
        #assert environment in ['Pendulum-v0', 'MountainCarContinuous-v0']
        assert x_dim == state_dim + action_dim
        assert len(action_space_low.shape) == 1
        np.testing.assert_equal(-action_space_low, action_space_high)
        self.environment = environment
        self.x_dim = x_dim
        self.y_dim = y_dim
        self.state_dim = state_dim
        self.action_dim = action_dim
        self.observation_space_low = observation_space_low
        self.observation_space_high = observation_space_high
        self.action_space_low = action_space_low
        self.action_space_high = action_space_high

        self.unroll_steps = unroll_steps
        self.no_samples = no_samples
        self.discount_factor = discount_factor
        self.random_matrices = random_matrices
        self.biases = biases
        self.basis_dims = basis_dims
        self.hidden_dim = hidden_dim
        self.learn_reward = learn_reward
        self.use_mean_reward = use_mean_reward
        self.update_hyperstate = update_hyperstate
        self.policy_use_hyperstate = policy_use_hyperstate
        self.learn_diff = learn_diff

        if self.environment == 'Pendulum-v0' and self.learn_reward == 0:
            #self.reward_function = real_env_pendulum_reward()
            self.reward_function = ANN(self.state_dim + self.action_dim, 1)
            self.placeholders_reward = [
                tf.placeholder(shape=v.shape, dtype=tf.float64)
                for v in tf.get_collection(tf.GraphKeys.TRAINABLE_VARIABLES,
                                           self.reward_function.scope)
            ]
            self.assign_ops0 = [
                v.assign(pl) for v, pl in zip(
                    tf.get_collection(tf.GraphKeys.TRAINABLE_VARIABLES,
                                      self.reward_function.scope),
                    self.placeholders_reward)
            ]
        elif self.environment == 'MountainCarContinuous-v0' and self.learn_reward == 0:
            self.reward_function = mountain_car_continuous_reward_function()

        #self.hyperstate_dim = sum([(basis_dim*(basis_dim+1))/2 + basis_dim for basis_dim in self.basis_dims])
        self.hyperstate_dim = sum(
            [basis_dim * (basis_dim + 1) for basis_dim in self.basis_dims])

        self.random_projection_matrix = np.random.normal(
            loc=0.,
            scale=1. / np.sqrt(self.state_dim),
            size=[self.hyperstate_dim, self.state_dim])

        input_dim = self.state_dim
        if self.policy_use_hyperstate == 1:
            input_dim *= 2

        self.w1 = np.concatenate([
            np.random.normal(size=[input_dim, self.hidden_dim]),
            np.random.uniform(-3e-3, 3e-3, size=[1, self.hidden_dim])
        ],
                                 axis=0)
        self.w2 = np.concatenate([
            np.random.normal(size=[self.hidden_dim, self.hidden_dim]),
            np.random.uniform(-3e-3, 3e-3, size=[1, self.hidden_dim])
        ],
                                 axis=0)
        self.w3 = np.concatenate([
            np.random.normal(size=[self.hidden_dim, self.action_dim]),
            np.random.uniform(-3e-3, 3e-3, size=[1, self.action_dim])
        ],
                                 axis=0)

        self.thetas = self._pack([self.w1, self.w2, self.w3])

        self.sizes = [[input_dim + 1, self.hidden_dim],
                      [self.hidden_dim + 1, self.hidden_dim],
                      [self.hidden_dim + 1, self.action_dim]]

        w1, w2, w3 = self._unpack(self.thetas, self.sizes)
        np.testing.assert_equal(w1, self.w1)
        np.testing.assert_equal(w2, self.w2)
        np.testing.assert_equal(w3, self.w3)

    def _pack(self, thetas):
        return np.concatenate([theta.flatten() for theta in thetas])

    def _unpack(self, thetas, sizes):
        sidx = 0
        weights = []
        for size in sizes:
            i, j = size
            w = thetas[sidx:sidx + i * j].reshape([i, j])
            sidx += i * j
            weights.append(w)
        return weights

    def _forward(self, thetas, X, hyperstate):
        #"Old" method of including hyperstate into policy network.
        '''
        w0, w1, w2, w3 = self._unpack(thetas, self.sizes)
        XXtr, Xytr = hyperstate

        A = [xx + noise for xx, noise in zip(XXtr, self.noises)]
        wn = [solve(a, xy) for a, xy in zip(A, Xytr)]

        indices = [np.triu_indices(basis_dim, 1) for basis_dim in self.basis_dims]
        hyperstate = []
        for i in range(len(X)):
            tmp0 = []
            for j in range(len(A)):
                A[j][i][indices[j]] = np.nan
                tmp1 = A[j][i]
                tmp0.append(tmp1[~np.isnan(tmp1)])
                tmp0.append(np.squeeze(wn[j][i]))
            tmp0 = np.concatenate(tmp0)
            hyperstate.append(tmp0)
        hyperstate = np.stack(hyperstate, axis=0)

        hyperstate = self._add_bias(hyperstate)
        hyperstate_embedding = np.tanh(np.matmul(hyperstate, w0))
        '''

        w1, w2, w3 = self._unpack(thetas, self.sizes)

        #Perform a simple random projection on the hyperstate.
        if self.policy_use_hyperstate == 1:
            hyperstate = np.concatenate([
                np.concatenate([
                    np.reshape(XXtr, [len(XXtr), -1]),
                    np.reshape(Xytr, [len(Xytr), -1])
                ],
                               axis=-1) for XXtr, Xytr in zip(*hyperstate)
            ],
                                        axis=-1)
            hyperstate = np.tanh(hyperstate / 50000.)
            hyperstate_embedding = np.matmul(hyperstate,
                                             self.random_projection_matrix)
            hyperstate_embedding = np.tanh(hyperstate_embedding)

            state_hyperstate = np.concatenate([X, hyperstate_embedding],
                                              axis=-1)
            policy_net_input = self._add_bias(state_hyperstate)
        else:
            policy_net_input = self._add_bias(X)

        h1 = np.tanh(np.matmul(policy_net_input, w1))
        h1 = self._add_bias(h1)

        h2 = np.tanh(np.matmul(h1, w2))
        h2 = self._add_bias(h2)

        out = np.tanh(np.matmul(h2, w3))
        out = out * self.action_space_high  #action bounds.

        return out

    def _add_bias(self, X):
        assert len(X.shape) == 2
        return np.concatenate([X, np.ones([len(X), 1])], axis=-1)

    def _relu(self, X):
        return np.maximum(X, 0.)

    def _fit(self, cma_maxiter, X, XXtr, Xytr, hyperparameters, sess):
        warnings.filterwarnings(
            'ignore',
            message=
            '.*scipy.linalg.solve\nIll-conditioned matrix detected. Result is not guaranteed to be accurate.\nReciprocal.*'
        )
        assert len(XXtr) == self.state_dim + self.learn_reward
        assert len(Xytr) == self.state_dim + self.learn_reward
        assert len(hyperparameters) == self.state_dim + self.learn_reward

        if self.use_mean_reward == 1:
            print 'Warning: use_mean_reward is set to True but this flag is not used by this function.'

        X = np.copy(X)
        XXtr = [np.copy(ele) for ele in XXtr]
        Xytr = [np.copy(ele) for ele in Xytr]
        hyperparameters = [np.copy(ele) for ele in hyperparameters]

        X = np.expand_dims(X, axis=1)
        X = np.tile(X, [1, self.no_samples, 1])
        X = np.reshape(X, [-1, self.state_dim])

        Llowers = [
            scipy.linalg.cholesky(
                (hp[-2] / hp[-1])**2 * np.eye(basis_dim) + XX, lower=True) for
            hp, basis_dim, XX in zip(hyperparameters, self.basis_dims, XXtr)
        ]
        Llowers = [
            np.tile(ele[np.newaxis, ...], [len(X), 1, 1]) for ele in Llowers
        ]
        XXtr = [np.tile(ele[np.newaxis, ...], [len(X), 1, 1]) for ele in XXtr]
        Xytr = [np.tile(ele[np.newaxis, ...], [len(X), 1, 1]) for ele in Xytr]

        self.noises = [
            (hp[2] / hp[3])**2 * np.eye(basis_dim)
            for hp, basis_dim in zip(hyperparameters, self.basis_dims)
        ]

        import cma
        options = {'maxiter': cma_maxiter, 'verb_disp': 1, 'verb_log': 0}
        print 'Before calling cma.fmin'
        res = cma.fmin(self._loss,
                       self.thetas,
                       2.,
                       args=(np.copy(X), [np.copy(ele) for ele in Llowers
                                          ], [np.copy(ele) for ele in XXtr],
                             [np.copy(ele) for ele in Xytr], None,
                             [np.copy(ele) for ele in hyperparameters], sess),
                       options=options)
        self.thetas = np.copy(res[0])

    def _predict(self, Llower, Xytr, basis, noise_sd):
        '''
        Llower = Llower[0]
        Xytr = Xytr[0]
        basis = np.squeeze(basis, axis=1)
        LinvXT = scipy.linalg.solve_triangular(Llower, basis.T, lower=True)
        pred_sigma = np.sum(np.square(LinvXT), axis=0)*noise_sd**2+noise_sd**2
        pred_sigma = pred_sigma[..., np.newaxis]
        tmp0 = scipy.linalg.solve_triangular(Llower, basis.T, lower=True).T
        tmp1 = scipy.linalg.solve_triangular(Llower, Xytr, lower=True)
        pred_mu = np.matmul(tmp0, tmp1)
        return pred_mu, pred_sigma
        '''

        #TODO:fix this.
        LinvXT = solve_triangular(Llower, np.transpose(basis, [0, 2, 1]))
        pred_sigma = np.sum(np.square(LinvXT),
                            axis=1) * noise_sd**2 + noise_sd**2
        tmp0 = np.transpose(
            solve_triangular(Llower, np.transpose(basis, [0, 2, 1])),
            [0, 2, 1])
        tmp1 = solve_triangular(Llower, Xytr)
        pred_mu = np.matmul(tmp0, tmp1)
        pred_mu = np.squeeze(pred_mu, axis=-1)
        return pred_mu, pred_sigma

    def _loss(self,
              thetas,
              X,
              Llowers,
              XXtr,
              Xytr,
              A=[],
              hyperparameters=None,
              sess=None):
        rng_state = np.random.get_state()
        X = np.copy(X)
        Llowers = [np.copy(ele) for ele in Llowers]
        XXtr = [np.copy(ele) for ele in XXtr]
        Xytr = [np.copy(ele) for ele in Xytr]
        hyperparameters = [np.copy(ele) for ele in hyperparameters]
        try:
            np.random.seed(2)

            rewards = []
            state = X
            for unroll_step in xrange(self.unroll_steps):
                action = self._forward(thetas,
                                       state,
                                       hyperstate=[Llowers, Xytr])
                reward, basis_reward = self._reward(state, action, sess,
                                                    Llowers[-1], Xytr[-1],
                                                    hyperparameters[-1])
                rewards.append((self.discount_factor**unroll_step) * reward)
                state_action = np.concatenate([state, action], axis=-1)

                means = []
                covs = []
                bases = []
                for i in xrange(self.state_dim):
                    length_scale, signal_sd, noise_sd, prior_sd = hyperparameters[
                        i]
                    basis = _basis(state_action, self.random_matrices[i],
                                   self.biases[i], self.basis_dims[i],
                                   length_scale, signal_sd)
                    basis = np.expand_dims(basis, axis=1)
                    bases.append(basis)
                    pred_mu, pred_sigma = self._predict(
                        Llowers[i], Xytr[i], basis, noise_sd)
                    means.append(pred_mu)
                    covs.append(pred_sigma)
                means = np.concatenate(means, axis=-1)
                covs = np.concatenate(covs, axis=-1)

                bases.append(basis_reward)

                state_ = np.stack([
                    np.random.multivariate_normal(mean=mean, cov=np.diag(cov))
                    for mean, cov in zip(means, covs)
                ],
                                  axis=0)
                state = state + state_ if self.learn_diff else state_
                if self.learn_diff == 0:
                    state_ = np.clip(state_, self.observation_space_low,
                                     self.observation_space_high)
                state = np.clip(state, self.observation_space_low,
                                self.observation_space_high)

                #                #Removable
                #                import copy
                #                Llowers2 = copy.deepcopy(Llowers)
                #                Xytr2 = copy.deepcopy(Xytr)
                #                XXtr2 = copy.deepcopy(XXtr)
                #                #Removable -END-

                if self.update_hyperstate == 1 or self.policy_use_hyperstate == 1:
                    y = np.concatenate([state_, reward],
                                       axis=-1)[..., :self.state_dim +
                                                self.learn_reward]
                    y = y[..., np.newaxis, np.newaxis]
                    for i in xrange(self.state_dim + self.learn_reward):
                        Llowers[i] = Llowers[i].transpose([0, 2, 1])
                    for i in xrange(self.state_dim + self.learn_reward):
                        for j in xrange(len(Llowers[i])):
                            cholupdate(Llowers[i][j], bases[i][j, 0].copy())
                        Xytr[i] += np.matmul(bases[i].transpose([0, 2, 1]),
                                             y[:, i, ...])


#                        #Removable
#                        _, _, noise_sd, prior_sd = hyperparameters[i]
#                        XXtr2[i], Xytr2[i], Llowers2[i] = self._update_hyperstate(XXtr2[i], XXtr2[i] + np.matmul(np.transpose(bases[i], [0, 2, 1]), bases[i]), Xytr2[i], Xytr2[i] + np.matmul(np.transpose(bases[i], [0, 2, 1]), y[:, i, ...]), Llowers2[i], (noise_sd/prior_sd)**2)
#                        print i
#                        print np.allclose(Llowers[i], Llowers2[i].transpose([0, 2, 1]))
#                        print np.allclose(Xytr[i], Xytr2[i])
#                        #Removable -END-

                    for i in xrange(self.state_dim + self.learn_reward):
                        Llowers[i] = Llowers[i].transpose([0, 2, 1])

            rewards = np.concatenate(rewards, axis=-1)
            rewards = np.sum(rewards, axis=-1)
            loss = -np.mean(rewards)
            np.random.set_state(rng_state)
            return loss
        except Exception as e:
            np.random.set_state(rng_state)
            print e, 'Returning 10e100'
            return 10e100

    def _update_hyperstate(self, XXold, XXnew, Xyold, Xynew, Llowerold,
                           var_ratio):
        var_diag = var_ratio * np.eye(XXnew.shape[-1])
        XX = []
        Xy = []
        Llower = []
        for i in range(len(XXnew)):
            try:
                tmp = scipy.linalg.cholesky(XXnew[i] + var_diag, lower=True)
                XX.append(XXnew[i].copy())
                Xy.append(Xynew[i].copy())
                Llower.append(tmp.copy())
            except Exception as e:
                XX.append(XXold[i].copy())
                Xy.append(Xyold[i].copy())
                Llower.append(Llowerold[i].copy())
        XX = np.stack(XX, axis=0)
        Xy = np.stack(Xy, axis=0)
        Llower = np.stack(Llower, axis=0)
        return XX, Xy, Llower

    def _reward(self, state, action, sess, Llower, Xy, hyperparameters):
        basis = None
        if self.environment == 'Pendulum-v0' and self.learn_reward == 0:
            reward = self.reward_function.build_np(sess, state, action)
        elif self.environment == 'MountainCarContinuous-v0' and self.learn_reward == 0:
            reward = self.reward_function.build_np(state, action)
        else:
            state_action = np.concatenate([state, action], axis=-1)
            length_scale, signal_sd, noise_sd, prior_sd = hyperparameters
            basis = _basis(state_action, self.random_matrices[-1],
                           self.biases[-1], self.basis_dims[-1], length_scale,
                           signal_sd)
            basis = np.expand_dims(basis, axis=1)
            pred_mu, pred_sigma = self._predict(Llower, Xy, basis, noise_sd)
            if self.use_mean_reward == 1:
                pred_sigma = np.zeros_like(pred_sigma)
            reward = np.stack([
                np.random.normal(loc=loc, scale=scale)
                for loc, scale in zip(pred_mu, pred_sigma)
            ],
                              axis=0)
        return reward, basis
Ejemplo n.º 2
0
class Agent:
    def __init__(self,
                 environment,
                 x_dim,
                 y_dim,
                 state_dim,
                 action_dim,
                 observation_space_low,
                 observation_space_high,
                 action_space_low,
                 action_space_high,
                 unroll_steps,
                 no_samples,
                 discount_factor,
                 random_matrix_state,
                 bias_state,
                 basis_dim_state,
                 random_matrix_reward,
                 bias_reward,
                 basis_dim_reward,
                 hidden_dim=32,
                 learn_reward=0,
                 use_mean_reward=0,
                 update_hyperstate=1,
                 policy_use_hyperstate=1,
                 learn_diff=0,
                 dump_model=0):
        #assert environment in ['Pendulum-v0', 'MountainCarContinuous-v0']
        assert x_dim == state_dim + action_dim
        assert len(action_space_low.shape) == 1
        np.testing.assert_equal(-action_space_low, action_space_high)
        self.environment = environment
        self.x_dim = x_dim
        self.y_dim = y_dim
        self.state_dim = state_dim
        self.action_dim = action_dim
        self.observation_space_low = observation_space_low
        self.observation_space_high = observation_space_high
        self.action_space_low = action_space_low
        self.action_space_high = action_space_high

        self.unroll_steps = unroll_steps
        self.no_samples = no_samples
        self.discount_factor = discount_factor

        self.random_matrix_state = random_matrix_state
        self.bias_state = bias_state
        self.basis_dim_state = basis_dim_state
        self.random_matrix_reward = random_matrix_reward
        self.bias_reward = bias_reward
        self.basis_dim_reward = basis_dim_reward

        self.hidden_dim = hidden_dim
        self.learn_reward = learn_reward
        self.use_mean_reward = use_mean_reward
        self.update_hyperstate = update_hyperstate
        self.policy_use_hyperstate = policy_use_hyperstate
        self.learn_diff = learn_diff

        self.dump_model = dump_model

        self.uid = str(uuid.uuid4())
        self.epoch = 0

        if self.environment == 'Pendulum-v0' and self.learn_reward == 0:
            #self.reward_function = real_env_pendulum_reward()
            self.reward_function = ANN(self.state_dim + self.action_dim, 1)
            self.placeholders_reward = [
                tf.placeholder(shape=v.shape, dtype=tf.float64)
                for v in tf.get_collection(tf.GraphKeys.TRAINABLE_VARIABLES,
                                           self.reward_function.scope)
            ]
            self.assign_ops0 = [
                v.assign(pl) for v, pl in zip(
                    tf.get_collection(tf.GraphKeys.TRAINABLE_VARIABLES,
                                      self.reward_function.scope),
                    self.placeholders_reward)
            ]
        elif self.environment == 'MountainCarContinuous-v0' and self.learn_reward == 0:
            self.reward_function = mountain_car_continuous_reward_function()

        self.hyperstate_dim = self.basis_dim_state * (self.basis_dim_state +
                                                      self.state_dim)
        if self.learn_reward == 1:
            self.hyperstate_dim += self.basis_dim_reward * (
                self.basis_dim_reward + 1)

        self.random_projection_matrix = np.random.normal(
            loc=0.,
            scale=1. / np.sqrt(self.state_dim),
            size=[self.hyperstate_dim, self.state_dim])

        input_dim = self.state_dim
        if self.policy_use_hyperstate == 1:
            input_dim *= 2

        self.w1 = np.concatenate([
            np.random.normal(size=[input_dim, self.hidden_dim]),
            np.random.uniform(-3e-3, 3e-3, size=[1, self.hidden_dim])
        ],
                                 axis=0)
        self.w2 = np.concatenate([
            np.random.normal(size=[self.hidden_dim, self.hidden_dim]),
            np.random.uniform(-3e-3, 3e-3, size=[1, self.hidden_dim])
        ],
                                 axis=0)
        self.w3 = np.concatenate([
            np.random.normal(size=[self.hidden_dim, self.action_dim]),
            np.random.uniform(-3e-3, 3e-3, size=[1, self.action_dim])
        ],
                                 axis=0)

        self.thetas = self._pack([self.w1, self.w2, self.w3])

        self.sizes = [[input_dim + 1, self.hidden_dim],
                      [self.hidden_dim + 1, self.hidden_dim],
                      [self.hidden_dim + 1, self.action_dim]]

        w1, w2, w3 = self._unpack(self.thetas, self.sizes)
        np.testing.assert_equal(w1, self.w1)
        np.testing.assert_equal(w2, self.w2)
        np.testing.assert_equal(w3, self.w3)

    def _pack(self, thetas):
        return np.concatenate([theta.flatten() for theta in thetas])

    def _unpack(self, thetas, sizes):
        sidx = 0
        weights = []
        for size in sizes:
            i, j = size
            w = thetas[sidx:sidx + i * j].reshape([i, j])
            sidx += i * j
            weights.append(w)
        return weights

    def _forward(self, thetas, X, hyperstate_params):
        w1, w2, w3 = self._unpack(thetas, self.sizes)

        #Perform a simple random projection on the hyperstate.
        if self.policy_use_hyperstate == 1:
            Llower_state, Xytr_state, Llower_reward, Xytr_reward = hyperstate_params
            hyperstate = np.concatenate([
                Llower_state.reshape([len(Llower_state), -1]),
                Xytr_state.reshape([len(Xytr_state), -1]),
                Llower_reward.reshape([len(Llower_reward), -1]),
                Xytr_reward.reshape([len(Xytr_reward), -1])
            ],
                                        axis=-1)
            hyperstate = np.tanh(hyperstate / 50000.)
            hyperstate_embedding = np.matmul(hyperstate,
                                             self.random_projection_matrix)
            hyperstate_embedding = np.tanh(hyperstate_embedding)

            state_hyperstate = np.concatenate([X, hyperstate_embedding],
                                              axis=-1)
            policy_net_input = self._add_bias(state_hyperstate)
        else:
            policy_net_input = self._add_bias(X)

        h1 = np.tanh(np.matmul(policy_net_input, w1))
        h1 = self._add_bias(h1)

        h2 = np.tanh(np.matmul(h1, w2))
        h2 = self._add_bias(h2)

        out = np.tanh(np.matmul(h2, w3))
        out = out * self.action_space_high  #action bounds.

        return out

    def _add_bias(self, X):
        assert len(X.shape) == 2
        return np.concatenate([X, np.ones([len(X), 1])], axis=-1)

    def _relu(self, X):
        return np.maximum(X, 0.)

    def _fit(self, cma_maxiter, X, XXtr_state, Xytr_state,
             hyperparameters_state, XXtr_reward, Xytr_reward,
             hyperparameters_reward, sess):
        warnings.filterwarnings(
            'ignore',
            message=
            '.*scipy.linalg.solve\nIll-conditioned matrix detected. Result is not guaranteed to be accurate.\nReciprocal.*'
        )
        assert XXtr_state.shape == (self.basis_dim_state, self.basis_dim_state)
        assert Xytr_state.shape == (self.basis_dim_state, self.state_dim)
        assert XXtr_reward.shape == (self.basis_dim_reward,
                                     self.basis_dim_reward)
        assert Xytr_reward.shape == (self.basis_dim_reward, 1)
        assert hyperparameters_state.shape == hyperparameters_reward.shape

        if self.use_mean_reward == 1:
            print(
                'Warning: use_mean_reward is set to True but this flag is not used by this function.'
            )

        #Copy the arrays (just to be safe no overwriting occurs).
        X = X.copy()
        XXtr_state = XXtr_state.copy()
        Xytr_state = Xytr_state.copy()
        hyperparameters_state = hyperparameters_state.copy()
        XXtr_reward = XXtr_reward.copy()
        Xytr_reward = Xytr_reward.copy()
        hyperparameters_reward = hyperparameters_reward.copy()

        X = np.expand_dims(X, axis=1)
        X = np.tile(X, [1, self.no_samples, 1])
        X = np.reshape(X, [-1, self.state_dim])

        #State
        Llower_state = spla.cholesky(
            (hyperparameters_state[-2] / hyperparameters_state[-1])**2 *
            np.eye(self.basis_dim_state) + XXtr_state,
            lower=True)
        Llower_state = np.tile(Llower_state, [len(X), 1, 1])

        XXtr_state = np.tile(XXtr_state, [len(X), 1, 1])
        Xytr_state = np.tile(Xytr_state, [len(X), 1, 1])

        #Reward
        if self.learn_reward:
            Llower_reward = spla.cholesky(
                (hyperparameters_reward[-2] / hyperparameters_reward[-1])**2 *
                np.eye(self.basis_dim_reward) + XXtr_reward,
                lower=True)
            Llower_reward = np.tile(Llower_reward, [len(X), 1, 1])

            XXtr_reward = np.tile(XXtr_reward, [len(X), 1, 1])
            Xytr_reward = np.tile(Xytr_reward, [len(X), 1, 1])

        import cma
        options = {'maxiter': cma_maxiter, 'verb_disp': 1, 'verb_log': 0}
        print('Before calling cma.fmin')
        res = cma.fmin(
            self._loss,
            self.thetas,
            2.,
            args=(X.copy(), Llower_state.copy(), XXtr_state.copy(),
                  Xytr_state.copy(), hyperparameters_state,
                  Llower_reward.copy() if self.learn_reward else None,
                  XXtr_reward.copy() if self.learn_reward else None,
                  Xytr_reward.copy() if self.learn_reward else None,
                  hyperparameters_reward if self.learn_reward else None, sess),
            options=options)
        self.thetas = np.copy(res[0])
        if self.dump_model:
            print('Unique identifier:', self.uid)
            directory = './models/'
            if not os.path.exists(directory):
                os.makedirs(directory)
            with open(
                    directory + self.uid + '_epoch:' + str(self.epoch) + '.p',
                    'wb') as fp:
                pickle.dump(self.thetas, fp)
            self.epoch += 1

    def _predict(self, Llower, Xytr, basis, noise_sd):
        #TODO: fix this.
        LinvXT = solve_triangular(Llower, basis.transpose([0, 2, 1]))
        sigma = np.sum(np.square(LinvXT), axis=1) * noise_sd**2 + noise_sd**2
        tmp0 = solve_triangular(Llower,
                                basis.transpose([0, 2,
                                                 1])).transpose([0, 2, 1])
        tmp1 = solve_triangular(Llower, Xytr)
        mu = np.matmul(tmp0, tmp1).squeeze(axis=1)
        return mu, sigma

    def _loss(self,
              thetas,
              X,
              Llower_state,
              XXtr_state,
              Xytr_state,
              hyperparameters_state,
              Llower_reward,
              XXtr_reward,
              Xytr_reward,
              hyperparameters_reward,
              sess=None):
        X = X.copy()
        Llower_state = Llower_state.copy()
        XXtr_state = XXtr_state.copy()
        Xytr_state = Xytr_state.copy()
        hyperparameters_state = hyperparameters_state.copy()
        if self.learn_reward:
            Llower_reward = Llower_reward.copy()
            XXtr_reward = XXtr_reward.copy()
            Xytr_reward = Xytr_reward.copy()
            hyperparameters_reward = hyperparameters_reward.copy()
        rng_state = np.random.get_state()
        #try:
        np.random.seed(2)

        rewards = []
        state = X
        for unroll_step in xrange(self.unroll_steps):
            action = self._forward(thetas,
                                   state,
                                   hyperstate_params=[
                                       Llower_state, Xytr_state, Llower_reward,
                                       Xytr_reward
                                   ])
            state_action = np.concatenate([state, action], axis=-1)

            reward, basis_reward = self._reward(state, action, state_action,
                                                sess, Llower_reward,
                                                Xytr_reward,
                                                hyperparameters_reward)
            rewards.append((self.discount_factor**unroll_step) * reward)

            length_scale, signal_sd, noise_sd, prior_sd = hyperparameters_state
            basis_state = _basis(state_action, self.random_matrix_state,
                                 self.bias_state, self.basis_dim_state,
                                 length_scale, signal_sd)
            basis_state = basis_state[:, None, ...]
            mu, sigma = self._predict(Llower_state, Xytr_state, basis_state,
                                      noise_sd)
            state_ = mu + np.sqrt(sigma) * np.random.standard_normal(
                size=mu.shape)

            if self.learn_diff:
                state_tmp = state.copy()
                state = np.clip(state + state_, self.observation_space_low,
                                self.observation_space_high)
                state_ = state - state_tmp
            else:
                state_ = np.clip(state_, self.observation_space_low,
                                 self.observation_space_high)
                state = state_.copy()

            if self.update_hyperstate == 1 or self.policy_use_hyperstate == 1:
                #Update state hyperstate
                Llower_state = Llower_state.transpose([0, 2, 1])
                for i in range(len(Llower_state)):
                    cholupdate(Llower_state[i], basis_state[i, 0].copy())
                Llower_state = Llower_state.transpose([0, 2, 1])
                Xytr_state += np.matmul(basis_state.transpose([0, 2, 1]),
                                        state_[..., None, :])

                #Update reward hyperstate
                if self.learn_reward:
                    Llower_reward = Llower_reward.transpose([0, 2, 1])
                    for i in range(len(Llower_reward)):
                        cholupdate(Llower_reward[i], basis_reward[i, 0].copy())
                    Llower_reward = Llower_reward.transpose([0, 2, 1])
                Xytr_reward += np.matmul(basis_reward.transpose([0, 2, 1]),
                                         reward[..., None, :])

        rewards = np.concatenate(rewards, axis=-1)
        rewards = np.sum(rewards, axis=-1)
        loss = -np.mean(rewards)
        np.random.set_state(rng_state)
        return loss
        #except Exception as e:
        #np.random.set_state(rng_state)
        #print e, 'Returning 10e100'
        #return 10e100

    def _reward(self, state, action, state_action, sess, Llower, Xy,
                hyperparameters):
        basis = None
        if self.environment == 'Pendulum-v0' and self.learn_reward == 0:
            reward = self.reward_function.build_np(sess, state, action)
        elif self.environment == 'MountainCarContinuous-v0' and self.learn_reward == 0:
            reward = self.reward_function.build_np(state, action)
        else:
            #state_action = np.concatenate([state, action], axis=-1)
            length_scale, signal_sd, noise_sd, prior_sd = hyperparameters
            basis = _basis(state_action, self.random_matrix_reward,
                           self.bias_reward, self.basis_dim_reward,
                           length_scale, signal_sd)
            basis = basis[:, None, ...]
            mu, sigma = self._predict(Llower, Xy, basis, noise_sd)
            if self.use_mean_reward == 1: sigma = np.zeros_like(sigma)
            reward = mu + np.sqrt(sigma) * np.random.standard_normal(
                size=mu.shape)
        return reward, basis