Пример #1
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 def _test_initialization(self, warmup_iterations, batch_size):
     stub_model = StubTimeSeriesModel()
     data = self._make_test_data(length=20,
                                 cut_start=None,
                                 cut_end=None,
                                 offset=0.)
     if batch_size == -1:
         input_fn = test_utils.AllWindowInputFn(
             input_pipeline.NumpyReader(data), window_size=10)
     else:
         input_fn = input_pipeline.RandomWindowInputFn(
             input_pipeline.NumpyReader(data),
             window_size=10,
             batch_size=batch_size)
     chainer = state_management.ChainingStateManager(
         state_saving_interval=1)
     features, _ = input_fn()
     stub_model.initialize_graph()
     chainer.initialize_graph(model=stub_model)
     model_outputs = chainer.define_loss(model=stub_model,
                                         features=features,
                                         mode=estimator_lib.ModeKeys.TRAIN)
     with self.cached_session() as session:
         variables.global_variables_initializer().run()
         coordinator = coordinator_lib.Coordinator()
         queue_runner_impl.start_queue_runners(session, coord=coordinator)
         for _ in range(warmup_iterations):
             # Warm up saved state
             model_outputs.loss.eval()
         outputs = model_outputs.loss.eval()
         coordinator.request_stop()
         coordinator.join()
         return outputs
Пример #2
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 def test_exogenous_input(self):
     """Test that no errors are raised when using exogenous features."""
     dtype = dtypes.float64
     times = [1, 2, 3, 4, 5, 6]
     values = [[0.01], [5.10], [5.21], [0.30], [5.41], [0.50]]
     feature_a = [["off"], ["on"], ["on"], ["off"], ["on"], ["off"]]
     sparse_column_a = feature_column.sparse_column_with_keys(
         column_name="feature_a", keys=["on", "off"])
     one_hot_a = layers.one_hot_column(sparse_id_column=sparse_column_a)
     regressor = estimators.StructuralEnsembleRegressor(
         periodicities=[],
         num_features=1,
         moving_average_order=0,
         exogenous_feature_columns=[one_hot_a],
         dtype=dtype)
     features = {
         TrainEvalFeatures.TIMES: times,
         TrainEvalFeatures.VALUES: values,
         "feature_a": feature_a
     }
     train_input_fn = input_pipeline.RandomWindowInputFn(
         input_pipeline.NumpyReader(features), window_size=6, batch_size=1)
     regressor.train(input_fn=train_input_fn, steps=1)
     eval_input_fn = input_pipeline.WholeDatasetInputFn(
         input_pipeline.NumpyReader(features))
     evaluation = regressor.evaluate(input_fn=eval_input_fn, steps=1)
     predict_input_fn = input_pipeline.predict_continuation_input_fn(
         evaluation,
         times=[[7, 8, 9]],
         exogenous_features={"feature_a": [[["on"], ["off"], ["on"]]]})
     regressor.predict(input_fn=predict_input_fn)
Пример #3
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 def test_multivariate(self):
     dtype = dtypes.float32
     num_features = 3
     covariance = numpy.eye(num_features)
     # A single off-diagonal has a non-zero value in the true transition
     # noise covariance.
     covariance[-1, 0] = 1.
     covariance[0, -1] = 1.
     dataset_size = 100
     values = numpy.cumsum(numpy.random.multivariate_normal(
         mean=numpy.zeros(num_features), cov=covariance, size=dataset_size),
                           axis=0)
     times = numpy.arange(dataset_size)
     model = MultivariateLevelModel(
         configuration=state_space_model.StateSpaceModelConfiguration(
             num_features=num_features,
             dtype=dtype,
             use_observation_noise=False,
             transition_covariance_initial_log_scale_bias=5.))
     estimator = estimators.StateSpaceRegressor(
         model=model,
         optimizer=gradient_descent.GradientDescentOptimizer(0.1))
     data = {
         feature_keys.TrainEvalFeatures.TIMES: times,
         feature_keys.TrainEvalFeatures.VALUES: values
     }
     train_input_fn = input_pipeline.RandomWindowInputFn(
         input_pipeline.NumpyReader(data), batch_size=16, window_size=16)
     estimator.train(input_fn=train_input_fn, steps=1)
     for component in model._ensemble_members:
         # Check that input statistics propagated to component models
         self.assertTrue(component._input_statistics)
Пример #4
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 def test_ar_lstm_regressor(self):
     dtype = dtypes.float32
     model_dir = tempfile.mkdtemp(dir=self.get_temp_dir())
     exogenous_feature_columns = (
         feature_column.numeric_column("exogenous"), )
     estimator = estimators.LSTMAutoRegressor(
         periodicities=10,
         input_window_size=10,
         output_window_size=6,
         model_dir=model_dir,
         num_features=1,
         extra_feature_columns=exogenous_feature_columns,
         num_units=10,
         config=_SeedRunConfig())
     times = numpy.arange(20, dtype=numpy.int64)
     values = numpy.arange(20, dtype=dtype.as_numpy_dtype)
     exogenous = numpy.arange(20, dtype=dtype.as_numpy_dtype)
     features = {
         feature_keys.TrainEvalFeatures.TIMES: times,
         feature_keys.TrainEvalFeatures.VALUES: values,
         "exogenous": exogenous
     }
     train_input_fn = input_pipeline.RandomWindowInputFn(
         input_pipeline.NumpyReader(features),
         shuffle_seed=2,
         num_threads=1,
         batch_size=16,
         window_size=16)
     eval_input_fn = input_pipeline.RandomWindowInputFn(
         input_pipeline.NumpyReader(features),
         shuffle_seed=3,
         num_threads=1,
         batch_size=16,
         window_size=16)
     estimator.train(input_fn=train_input_fn, steps=1)
     evaluation = estimator.evaluate(input_fn=eval_input_fn, steps=1)
     self.assertAllEqual(evaluation["loss"], evaluation["average_loss"])
     self.assertAllEqual([], evaluation["loss"].shape)
Пример #5
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 def test_loop_unrolling(self):
     """Tests running/restoring from a checkpoint with static unrolling."""
     model = TimeDependentStateSpaceModel(
         # Unroll during training, but not evaluation
         static_unrolling_window_size_threshold=2)
     estimator = estimators.StateSpaceRegressor(model=model)
     times = numpy.arange(100)
     values = numpy.arange(100)
     dataset = {
         feature_keys.TrainEvalFeatures.TIMES: times,
         feature_keys.TrainEvalFeatures.VALUES: values
     }
     train_input_fn = input_pipeline.RandomWindowInputFn(
         input_pipeline.NumpyReader(dataset), batch_size=16, window_size=2)
     eval_input_fn = input_pipeline.WholeDatasetInputFn(
         input_pipeline.NumpyReader(dataset))
     estimator.train(input_fn=train_input_fn, max_steps=1)
     estimator.evaluate(input_fn=eval_input_fn, steps=1)
Пример #6
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    def dry_run_train_helper(self,
                             sample_every,
                             period,
                             num_samples,
                             model_type,
                             model_args,
                             num_features=1):
        numpy.random.seed(1)
        dtype = dtypes.float32
        features = self.simple_data(sample_every,
                                    dtype=dtype,
                                    period=period,
                                    num_samples=num_samples,
                                    num_features=num_features)
        model = model_type(
            configuration=(state_space_model.StateSpaceModelConfiguration(
                num_features=num_features,
                dtype=dtype,
                covariance_prior_fn=lambda _: 0.)),
            **model_args)

        class _RunConfig(estimator_lib.RunConfig):
            @property
            def tf_random_seed(self):
                return 4

        estimator = estimators.StateSpaceRegressor(model, config=_RunConfig())
        train_input_fn = input_pipeline.RandomWindowInputFn(
            input_pipeline.NumpyReader(features),
            num_threads=1,
            shuffle_seed=1,
            batch_size=16,
            window_size=16)
        eval_input_fn = input_pipeline.WholeDatasetInputFn(
            input_pipeline.NumpyReader(features))
        estimator.train(input_fn=train_input_fn, max_steps=1)
        first_evaluation = estimator.evaluate(input_fn=eval_input_fn, steps=1)
        estimator.train(input_fn=train_input_fn, max_steps=3)
        second_evaluation = estimator.evaluate(input_fn=eval_input_fn, steps=1)
        self.assertLess(second_evaluation["loss"], first_evaluation["loss"])
Пример #7
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 def test_no_periodicity(self):
     """Test that no errors are raised when periodicites is None."""
     dtype = dtypes.float64
     times = [1, 2, 3, 4, 5, 6]
     values = [[0.01], [5.10], [5.21], [0.30], [5.41], [0.50]]
     regressor = estimators.StructuralEnsembleRegressor(
         periodicities=None,
         num_features=1,
         moving_average_order=0,
         dtype=dtype)
     features = {
         TrainEvalFeatures.TIMES: times,
         TrainEvalFeatures.VALUES: values
     }
     train_input_fn = input_pipeline.RandomWindowInputFn(
         input_pipeline.NumpyReader(features), window_size=6, batch_size=1)
     regressor.train(input_fn=train_input_fn, steps=1)
     eval_input_fn = input_pipeline.WholeDatasetInputFn(
         input_pipeline.NumpyReader(features))
     evaluation = regressor.evaluate(input_fn=eval_input_fn, steps=1)
     predict_input_fn = input_pipeline.predict_continuation_input_fn(
         evaluation, times=[[7, 8, 9]])
     regressor.predict(input_fn=predict_input_fn)
Пример #8
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 def _random_window_input_fn_test_template(self,
                                           time_series_reader,
                                           window_size,
                                           batch_size,
                                           num_features,
                                           discard_out_of_order=False):
     input_fn = input_pipeline.RandomWindowInputFn(
         time_series_reader=time_series_reader,
         window_size=window_size,
         batch_size=batch_size)
     result, _ = input_fn()
     init_op = variables.local_variables_initializer()
     with self.cached_session() as session:
         coordinator = coordinator_lib.Coordinator()
         queue_runner_impl.start_queue_runners(session, coord=coordinator)
         session.run(init_op)
         features = session.run(result)
         coordinator.request_stop()
         coordinator.join()
     self.assertAllEqual([batch_size, window_size],
                         features[TrainEvalFeatures.TIMES].shape)
     for window_position in range(window_size - 1):
         for batch_position in range(batch_size):
             # Checks that all times are contiguous
             self.assertEqual(
                 features[TrainEvalFeatures.TIMES][batch_position,
                                                   window_position + 1],
                 features[TrainEvalFeatures.TIMES][batch_position,
                                                   window_position] + 1)
     self.assertAllEqual([batch_size, window_size, num_features],
                         features[TrainEvalFeatures.VALUES].shape)
     self.assertEqual("int64", features[TrainEvalFeatures.TIMES].dtype)
     for feature_number in range(num_features):
         self.assertAllEqual(
             features[TrainEvalFeatures.TIMES] * 2. + feature_number,
             features[TrainEvalFeatures.VALUES][:, :, feature_number])
     return features
Пример #9
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 def _input_statistics_test_template(self,
                                     stat_object,
                                     num_features,
                                     dtype,
                                     give_full_data,
                                     warmup_iterations=0,
                                     rtol=1e-6,
                                     data_length=500,
                                     chunk_size=4):
     graph = ops.Graph()
     with graph.as_default():
         numpy_dtype = dtype.as_numpy_dtype
         values = (
             (numpy.arange(data_length, dtype=numpy_dtype)[..., None] +
              numpy.arange(num_features, dtype=numpy_dtype)[None,
                                                            ...])[None])
         times = 2 * (numpy.arange(data_length)[None]) - 3
         if give_full_data:
             stat_object.set_data((times, values))
         features = {
             TrainEvalFeatures.TIMES: times,
             TrainEvalFeatures.VALUES: values
         }
         input_fn = input_pipeline.RandomWindowInputFn(
             batch_size=16,
             window_size=chunk_size,
             time_series_reader=input_pipeline.NumpyReader(features))
         statistics = stat_object.initialize_graph(features=input_fn()[0])
         with self.session(graph=graph) as session:
             variables.global_variables_initializer().run()
             coordinator = coordinator_lib.Coordinator()
             queue_runner_impl.start_queue_runners(session,
                                                   coord=coordinator)
             for _ in range(warmup_iterations):
                 # A control dependency should ensure that, for queue-based statistics,
                 # a use of any statistic is preceded by an update of all adaptive
                 # statistics.
                 statistics.total_observation_count.eval()
             self.assertAllClose(
                 range(num_features) +
                 numpy.mean(numpy.arange(chunk_size))[None],
                 statistics.series_start_moments.mean.eval(),
                 rtol=rtol)
             self.assertAllClose(
                 numpy.tile(
                     numpy.var(numpy.arange(chunk_size))[None],
                     [num_features]),
                 statistics.series_start_moments.variance.eval(),
                 rtol=rtol)
             self.assertAllClose(
                 numpy.mean(values[0], axis=0),
                 statistics.overall_feature_moments.mean.eval(),
                 rtol=rtol)
             self.assertAllClose(
                 numpy.var(values[0], axis=0),
                 statistics.overall_feature_moments.variance.eval(),
                 rtol=rtol)
             self.assertAllClose(-3,
                                 statistics.start_time.eval(),
                                 rtol=rtol)
             self.assertAllClose(data_length,
                                 statistics.total_observation_count.eval(),
                                 rtol=rtol)
             coordinator.request_stop()
             coordinator.join()
Пример #10
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 def test_one_shot_prediction_head_export(self, estimator_factory):
   def _new_temp_dir():
     return os.path.join(test.get_temp_dir(), str(ops.uid()))
   model_dir = _new_temp_dir()
   categorical_column = feature_column.categorical_column_with_hash_bucket(
       key="categorical_exogenous_feature", hash_bucket_size=16)
   exogenous_feature_columns = [
       feature_column.numeric_column(
           "2d_exogenous_feature", shape=(2,)),
       feature_column.embedding_column(
           categorical_column=categorical_column, dimension=10)]
   estimator = estimator_factory(
       model_dir=model_dir,
       exogenous_feature_columns=exogenous_feature_columns,
       head_type=ts_head_lib.OneShotPredictionHead)
   train_features = {
       feature_keys.TrainEvalFeatures.TIMES: numpy.arange(
           20, dtype=numpy.int64),
       feature_keys.TrainEvalFeatures.VALUES: numpy.tile(numpy.arange(
           20, dtype=numpy.float32)[:, None], [1, 5]),
       "2d_exogenous_feature": numpy.ones([20, 2]),
       "categorical_exogenous_feature": numpy.array(
           ["strkey"] * 20)[:, None]
   }
   train_input_fn = input_pipeline.RandomWindowInputFn(
       input_pipeline.NumpyReader(train_features), shuffle_seed=2,
       num_threads=1, batch_size=16, window_size=16)
   estimator.train(input_fn=train_input_fn, steps=5)
   result = estimator.evaluate(input_fn=train_input_fn, steps=1)
   self.assertIn("average_loss", result)
   self.assertNotIn(feature_keys.State.STATE_TUPLE, result)
   input_receiver_fn = estimator.build_raw_serving_input_receiver_fn()
   export_location = estimator.export_saved_model(_new_temp_dir(),
                                                  input_receiver_fn)
   graph = ops.Graph()
   with graph.as_default():
     with session_lib.Session() as session:
       signatures = loader.load(
           session, [tag_constants.SERVING], export_location)
       self.assertEqual([feature_keys.SavedModelLabels.PREDICT],
                        list(signatures.signature_def.keys()))
       predict_signature = signatures.signature_def[
           feature_keys.SavedModelLabels.PREDICT]
       six.assertCountEqual(
           self,
           [feature_keys.FilteringFeatures.TIMES,
            feature_keys.FilteringFeatures.VALUES,
            "2d_exogenous_feature",
            "categorical_exogenous_feature"],
           predict_signature.inputs.keys())
       features = {
           feature_keys.TrainEvalFeatures.TIMES: numpy.tile(
               numpy.arange(35, dtype=numpy.int64)[None, :], [2, 1]),
           feature_keys.TrainEvalFeatures.VALUES: numpy.tile(numpy.arange(
               20, dtype=numpy.float32)[None, :, None], [2, 1, 5]),
           "2d_exogenous_feature": numpy.ones([2, 35, 2]),
           "categorical_exogenous_feature": numpy.tile(numpy.array(
               ["strkey"] * 35)[None, :, None], [2, 1, 1])
       }
       feeds = {
           graph.as_graph_element(input_value.name): features[input_key]
           for input_key, input_value in predict_signature.inputs.items()}
       fetches = {output_key: graph.as_graph_element(output_value.name)
                  for output_key, output_value
                  in predict_signature.outputs.items()}
       output = session.run(fetches, feed_dict=feeds)
       self.assertEqual((2, 15, 5), output["mean"].shape)
   # Build a parsing input function, then make a tf.Example for it to parse.
   export_location = estimator.export_saved_model(
       _new_temp_dir(),
       estimator.build_one_shot_parsing_serving_input_receiver_fn(
           filtering_length=20, prediction_length=15))
   graph = ops.Graph()
   with graph.as_default():
     with session_lib.Session() as session:
       example = example_pb2.Example()
       times = example.features.feature[feature_keys.TrainEvalFeatures.TIMES]
       values = example.features.feature[feature_keys.TrainEvalFeatures.VALUES]
       times.int64_list.value.extend(range(35))
       for i in range(20):
         values.float_list.value.extend(
             [float(i) * 2. + feature_number
              for feature_number in range(5)])
       real_feature = example.features.feature["2d_exogenous_feature"]
       categortical_feature = example.features.feature[
           "categorical_exogenous_feature"]
       for i in range(35):
         real_feature.float_list.value.extend([1, 1])
         categortical_feature.bytes_list.value.append(b"strkey")
       # Serialize the tf.Example for feeding to the Session
       examples = [example.SerializeToString()] * 2
       signatures = loader.load(
           session, [tag_constants.SERVING], export_location)
       predict_signature = signatures.signature_def[
           feature_keys.SavedModelLabels.PREDICT]
       ((_, input_value),) = predict_signature.inputs.items()
       feeds = {graph.as_graph_element(input_value.name): examples}
       fetches = {output_key: graph.as_graph_element(output_value.name)
                  for output_key, output_value
                  in predict_signature.outputs.items()}
       output = session.run(fetches, feed_dict=feeds)
       self.assertEqual((2, 15, 5), output["mean"].shape)
Пример #11
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    def train_helper(self,
                     input_window_size,
                     loss,
                     max_loss=None,
                     train_steps=200,
                     anomaly_prob=0.01,
                     anomaly_distribution=None,
                     multiple_periods=False):
        np.random.seed(3)
        data_noise_stddev = 0.2
        if max_loss is None:
            if loss == ar_model.ARModel.NORMAL_LIKELIHOOD_LOSS:
                max_loss = 1.0
            else:
                max_loss = 0.05 / (data_noise_stddev**2)
        train_data, test_data = self.create_data(
            noise_stddev=data_noise_stddev,
            anomaly_prob=anomaly_prob,
            multiple_periods=multiple_periods)
        output_window_size = 10
        window_size = input_window_size + output_window_size

        class _RunConfig(estimator_lib.RunConfig):
            @property
            def tf_random_seed(self):
                return 3

        estimator = ARRegressor(
            periodicities=self.period,
            anomaly_prior_probability=0.01 if anomaly_distribution else None,
            anomaly_distribution=anomaly_distribution,
            num_features=2,
            output_window_size=output_window_size,
            num_time_buckets=20,
            input_window_size=input_window_size,
            hidden_layer_sizes=[16],
            loss=loss,
            config=_RunConfig())
        train_input_fn = input_pipeline.RandomWindowInputFn(
            time_series_reader=input_pipeline.NumpyReader(train_data),
            window_size=window_size,
            batch_size=64,
            num_threads=1,
            shuffle_seed=2)
        test_input_fn = test_utils.AllWindowInputFn(
            time_series_reader=input_pipeline.NumpyReader(test_data),
            window_size=window_size)

        # Test training
        estimator.train(input_fn=train_input_fn, steps=train_steps)
        test_evaluation = estimator.evaluate(input_fn=test_input_fn, steps=1)
        test_loss = test_evaluation["loss"]
        logging.info("Final test loss: %f", test_loss)
        self.assertLess(test_loss, max_loss)
        if loss == ar_model.ARModel.SQUARED_LOSS:
            # Test that the evaluation loss is reported without input scaling.
            self.assertAllClose(
                test_loss,
                np.mean((test_evaluation["mean"] -
                         test_evaluation["observed"])**2))

        # Test predict
        train_data_times = train_data[TrainEvalFeatures.TIMES]
        train_data_values = train_data[TrainEvalFeatures.VALUES]
        test_data_times = test_data[TrainEvalFeatures.TIMES]
        test_data_values = test_data[TrainEvalFeatures.VALUES]
        predict_times = np.expand_dims(
            np.concatenate(
                [train_data_times[input_window_size:], test_data_times]), 0)
        predict_true_values = np.expand_dims(
            np.concatenate(
                [train_data_values[input_window_size:], test_data_values]), 0)
        state_times = np.expand_dims(train_data_times[:input_window_size], 0)
        state_values = np.expand_dims(train_data_values[:input_window_size, :],
                                      0)
        state_exogenous = state_times[:, :, None][:, :, :0]

        def prediction_input_fn():
            return ({
                PredictionFeatures.TIMES:
                training.limit_epochs(predict_times, num_epochs=1),
                PredictionFeatures.STATE_TUPLE:
                (state_times, state_values, state_exogenous)
            }, {})

        (predictions, ) = tuple(
            estimator.predict(input_fn=prediction_input_fn))
        predicted_mean = predictions["mean"][:, 0]
        true_values = predict_true_values[0, :, 0]

        if loss == ar_model.ARModel.NORMAL_LIKELIHOOD_LOSS:
            variances = predictions["covariance"][:, 0]
            standard_deviations = np.sqrt(variances)
            # Note that we may get tighter bounds with more training steps.
            errors = np.abs(predicted_mean -
                            true_values) > 4 * standard_deviations
            fraction_errors = np.mean(errors)
            logging.info("Fraction errors: %f", fraction_errors)
Пример #12
0
    def _fit_restore_fit_test_template(self, estimator_fn, dtype):
        """Tests restoring previously fit models."""
        model_dir = tempfile.mkdtemp(dir=self.get_temp_dir())
        exogenous_feature_columns = (
            feature_column.numeric_column("exogenous"), )
        first_estimator = estimator_fn(model_dir, exogenous_feature_columns)
        times = numpy.arange(20, dtype=numpy.int64)
        values = numpy.arange(20, dtype=dtype.as_numpy_dtype)
        exogenous = numpy.arange(20, dtype=dtype.as_numpy_dtype)
        features = {
            feature_keys.TrainEvalFeatures.TIMES: times,
            feature_keys.TrainEvalFeatures.VALUES: values,
            "exogenous": exogenous
        }
        train_input_fn = input_pipeline.RandomWindowInputFn(
            input_pipeline.NumpyReader(features),
            shuffle_seed=2,
            num_threads=1,
            batch_size=16,
            window_size=16)
        eval_input_fn = input_pipeline.RandomWindowInputFn(
            input_pipeline.NumpyReader(features),
            shuffle_seed=3,
            num_threads=1,
            batch_size=16,
            window_size=16)
        first_estimator.train(input_fn=train_input_fn, steps=1)
        first_evaluation = first_estimator.evaluate(input_fn=eval_input_fn,
                                                    steps=1)
        first_loss_before_fit = first_evaluation["loss"]
        self.assertAllEqual(first_loss_before_fit,
                            first_evaluation["average_loss"])
        self.assertAllEqual([], first_loss_before_fit.shape)
        first_estimator.train(input_fn=train_input_fn, steps=1)
        first_loss_after_fit = first_estimator.evaluate(input_fn=eval_input_fn,
                                                        steps=1)["loss"]
        self.assertAllEqual([], first_loss_after_fit.shape)
        second_estimator = estimator_fn(model_dir, exogenous_feature_columns)
        second_estimator.train(input_fn=train_input_fn, steps=1)
        whole_dataset_input_fn = input_pipeline.WholeDatasetInputFn(
            input_pipeline.NumpyReader(features))
        whole_dataset_evaluation = second_estimator.evaluate(
            input_fn=whole_dataset_input_fn, steps=1)
        exogenous_values_ten_steps = {
            "exogenous":
            numpy.arange(10, dtype=dtype.as_numpy_dtype)[None, :, None]
        }
        predict_input_fn = input_pipeline.predict_continuation_input_fn(
            evaluation=whole_dataset_evaluation,
            exogenous_features=exogenous_values_ten_steps,
            steps=10)
        # Also tests that limit_epochs in predict_continuation_input_fn prevents
        # infinite iteration
        (estimator_predictions, ) = list(
            second_estimator.predict(input_fn=predict_input_fn))
        self.assertAllEqual([10, 1], estimator_predictions["mean"].shape)
        input_receiver_fn = first_estimator.build_raw_serving_input_receiver_fn(
        )
        export_location = first_estimator.export_saved_model(
            self.get_temp_dir(), input_receiver_fn)
        with ops.Graph().as_default():
            with session.Session() as sess:
                signatures = loader.load(sess, [tag_constants.SERVING],
                                         export_location)
                # Test that prediction and filtering can continue from evaluation output
                saved_prediction = saved_model_utils.predict_continuation(
                    continue_from=whole_dataset_evaluation,
                    steps=10,
                    exogenous_features=exogenous_values_ten_steps,
                    signatures=signatures,
                    session=sess)
                # Saved model predictions should be the same as Estimator predictions
                # starting from the same evaluation.
                for prediction_key, prediction_value in estimator_predictions.items(
                ):
                    self.assertAllClose(
                        prediction_value,
                        numpy.squeeze(saved_prediction[prediction_key],
                                      axis=0))
                first_filtering = saved_model_utils.filter_continuation(
                    continue_from=whole_dataset_evaluation,
                    features={
                        feature_keys.FilteringFeatures.TIMES:
                        times[None, -1] + 2,
                        feature_keys.FilteringFeatures.VALUES:
                        values[None, -1] + 2.,
                        "exogenous": values[None, -1, None] + 12.
                    },
                    signatures=signatures,
                    session=sess)
                # Test that prediction and filtering can continue from filtering output
                second_saved_prediction = saved_model_utils.predict_continuation(
                    continue_from=first_filtering,
                    steps=1,
                    exogenous_features={
                        "exogenous":
                        numpy.arange(1, dtype=dtype.as_numpy_dtype)[None, :,
                                                                    None]
                    },
                    signatures=signatures,
                    session=sess)
                self.assertEqual(
                    times[-1] + 3,
                    numpy.squeeze(second_saved_prediction[
                        feature_keys.PredictionResults.TIMES]))
                saved_model_utils.filter_continuation(
                    continue_from=first_filtering,
                    features={
                        feature_keys.FilteringFeatures.TIMES: times[-1] + 3,
                        feature_keys.FilteringFeatures.VALUES: values[-1] + 3.,
                        "exogenous": values[-1, None] + 13.
                    },
                    signatures=signatures,
                    session=sess)

                # Test cold starting
                six.assertCountEqual(
                    self, [
                        feature_keys.FilteringFeatures.TIMES,
                        feature_keys.FilteringFeatures.VALUES, "exogenous"
                    ],
                    signatures.signature_def[feature_keys.SavedModelLabels.
                                             COLD_START_FILTER].inputs.keys())
                batch_numpy_times = numpy.tile(
                    numpy.arange(30, dtype=numpy.int64)[None, :], (10, 1))
                batch_numpy_values = numpy.ones([10, 30, 1])
                state = saved_model_utils.cold_start_filter(
                    signatures=signatures,
                    session=sess,
                    features={
                        feature_keys.FilteringFeatures.TIMES:
                        batch_numpy_times,
                        feature_keys.FilteringFeatures.VALUES:
                        batch_numpy_values,
                        "exogenous": 10. + batch_numpy_values
                    })
                predict_times = numpy.tile(
                    numpy.arange(30, 45, dtype=numpy.int64)[None, :], (10, 1))
                predictions = saved_model_utils.predict_continuation(
                    continue_from=state,
                    times=predict_times,
                    exogenous_features={
                        "exogenous":
                        numpy.tile(
                            numpy.arange(15, dtype=dtype.as_numpy_dtype),
                            (10, ))[None, :, None]
                    },
                    signatures=signatures,
                    session=sess)
                self.assertAllEqual([10, 15, 1], predictions["mean"].shape)