Python SdcaModel.regularized_loss方法代码示例

# 需要导入模块: from tensorflow.contrib.linear_optimizer.python.ops.sdca_ops import SdcaModel [as 别名]
# 或者: from tensorflow.contrib.linear_optimizer.python.ops.sdca_ops.SdcaModel import regularized_loss [as 别名]
  def testInstancesOfOneClassOnly(self):
    # Setup test data with 1 positive (ignored), and 1 negative example.
    example_protos = [
        make_example_proto(
            {'age': [0],
             'gender': [0]}, 0),
        make_example_proto(
            {'age': [1],
             'gender': [0]}, 1),  # Shares gender with the instance above.
    ]
    example_weights = [1.0, 0.0]  # Second example "omitted" from training.
    with self._single_threaded_test_session():
      examples = make_example_dict(example_protos, example_weights)
      variables = make_variable_dict(1, 1)
      options = dict(symmetric_l2_regularization=1,
                     symmetric_l1_regularization=0,
                     loss_type='logistic_loss')

      lr = SdcaModel(CONTAINER, examples, variables, options)
      tf.initialize_all_variables().run()
      unregularized_loss = lr.unregularized_loss(examples)
      loss = lr.regularized_loss(examples)
      predictions = lr.predictions(examples)
      for _ in xrange(5):
        lr.minimize().run()
      self.assertAllClose(0.411608, unregularized_loss.eval(), rtol=0.12)
      self.assertAllClose(0.525457, loss.eval(), atol=0.01)
      predicted_labels = get_binary_predictions_for_logistic(predictions)
      self.assertAllEqual([0, 0], predicted_labels.eval())
      self.assertAllClose(0.01,
                          lr.approximate_duality_gap().eval(),
                          rtol=1e-2,
                          atol=1e-2)

# 需要导入模块: from tensorflow.contrib.linear_optimizer.python.ops.sdca_ops import SdcaModel [as 别名]
# 或者: from tensorflow.contrib.linear_optimizer.python.ops.sdca_ops.SdcaModel import regularized_loss [as 别名]
  def testDenseFeatures(self):
    with self._single_threaded_test_session():
      examples = make_dense_examples_dict(
          dense_feature_values=[[-2.0, 0.0], [0.0, 2.0]],
          weights=[1.0, 1.0],
          labels=[-10.0, 14.0])
      variables = make_dense_variable_dict(2, 2)
      options = dict(symmetric_l2_regularization=1,
                     symmetric_l1_regularization=0,
                     loss_type='squared_loss')
      lr = SdcaModel(CONTAINER, examples, variables, options)
      tf.initialize_all_variables().run()
      predictions = lr.predictions(examples)

      for _ in xrange(20):
        lr.minimize().run()

      # Predictions should be 4/5 of label due to minimizing regularized loss:
      #   (label - 2 * weight)^2 / 2 + L2 * weight^2
      self.assertAllClose([-10.0 * 4 / 5, 14.0 * 4 / 5],
                          predictions.eval(),
                          rtol=0.01)

      loss = lr.regularized_loss(examples)
      self.assertAllClose(148.0 / 10.0, loss.eval(), atol=0.01)

# 需要导入模块: from tensorflow.contrib.linear_optimizer.python.ops.sdca_ops import SdcaModel [as 别名]
# 或者: from tensorflow.contrib.linear_optimizer.python.ops.sdca_ops.SdcaModel import regularized_loss [as 别名]
    def testDenseFeaturesWithArbitraryWeights(self):
        with self._single_threaded_test_session():
            examples, variables = make_dense_examples_and_variables_dicts(
                dense_features_values=[[[1.0, 0.0], [0.0, 1.0]]], weights=[20.0, 10.0], labels=[10.0, -5.0]
            )
            options = dict(symmetric_l2_regularization=5.0, symmetric_l1_regularization=0, loss_type="squared_loss")
            lr = SdcaModel(examples, variables, options)
            tf.initialize_all_variables().run()
            predictions = lr.predictions(examples)

            train_op = lr.minimize()
            for _ in range(_MAX_ITERATIONS):
                train_op.run()

            # The loss function for these particular features is given by:
            # 1/2 s_1 (label_1-w_1)^2 + 1/2 s_2(label_2-w_2)^2 +
            # \lambda/2 (w_1^2 + w_2^2) where s_1, s_2 are the *example weights. It
            # turns out that the optimal (variable) weights are given by:
            # w_1* = label_1 \cdot s_1/(\lambda + s_1)= 8.0 and
            # w_2* =label_2 \cdot s_2/(\lambda + s_2)= -10/3.
            # In this case the (unnormalized regularized) loss will be:
            # s_1/2(8-10)^2 + s_2/2(5-10/3)^2 + 5.0/2(8^2 + (10/3)^2) = 2175.0/9. The
            # actual loss should be further normalized by the sum of example weights.
            self.assertAllClose([8.0, -10.0 / 3], predictions.eval(), rtol=0.01)
            loss = lr.regularized_loss(examples)
            self.assertAllClose(2175.0 / 270.0, loss.eval(), atol=0.01)

# 需要导入模块: from tensorflow.contrib.linear_optimizer.python.ops.sdca_ops import SdcaModel [as 别名]
# 或者: from tensorflow.contrib.linear_optimizer.python.ops.sdca_ops.SdcaModel import regularized_loss [as 别名]
  def testImbalancedWithExampleWeights(self):
    # Setup test data with 1 positive, and 1 negative example.
    example_protos = [
        make_example_proto(
            {'age': [0],
             'gender': [0]}, 0),
        make_example_proto(
            {'age': [1],
             'gender': [1]}, 1),
    ]
    example_weights = [3.0, 1.0]
    with self._single_threaded_test_session():
      examples = make_example_dict(example_protos, example_weights)
      variables = make_variable_dict(1, 1)
      options = dict(symmetric_l2_regularization=1,
                     symmetric_l1_regularization=0,
                     loss_type='logistic_loss')

      lr = SdcaModel(CONTAINER, examples, variables, options)
      tf.initialize_all_variables().run()
      unregularized_loss = lr.unregularized_loss(examples)
      loss = lr.regularized_loss(examples)
      predictions = lr.predictions(examples)
      for _ in xrange(5):
        lr.minimize().run()
      self.assertAllClose(0.284860, unregularized_loss.eval(), rtol=0.08)
      self.assertAllClose(0.408044, loss.eval(), atol=0.012)
      predicted_labels = get_binary_predictions_for_logistic(predictions)
      self.assertAllEqual([0, 1], predicted_labels.eval())
      self.assertAllClose(0.01,
                          lr.approximate_duality_gap().eval(),
                          rtol=1e-2,
                          atol=1e-2)

# 需要导入模块: from tensorflow.contrib.linear_optimizer.python.ops.sdca_ops import SdcaModel [as 别名]
# 或者: from tensorflow.contrib.linear_optimizer.python.ops.sdca_ops.SdcaModel import regularized_loss [as 别名]
    def testInstancesOfOneClassOnly(self):
        # Setup test data with 1 positive (ignored), and 1 negative example.
        example_protos = [
            make_example_proto({"age": [0], "gender": [0]}, 0),
            make_example_proto({"age": [1], "gender": [0]}, 1),  # Shares gender with the instance above.
        ]
        example_weights = [1.0, 0.0]  # Second example "omitted" from training.
        for num_shards in _SHARD_NUMBERS:
            with self._single_threaded_test_session():
                examples = make_example_dict(example_protos, example_weights)
                variables = make_variable_dict(1, 1)
                options = dict(
                    symmetric_l2_regularization=1,
                    symmetric_l1_regularization=0,
                    num_table_shards=num_shards,
                    loss_type="logistic_loss",
                )

                lr = SdcaModel(examples, variables, options)
                tf.initialize_all_variables().run()
                unregularized_loss = lr.unregularized_loss(examples)
                loss = lr.regularized_loss(examples)
                predictions = lr.predictions(examples)
                train_op = lr.minimize()
                for _ in range(_MAX_ITERATIONS):
                    train_op.run()
                self.assertAllClose(0.411608, unregularized_loss.eval(), atol=0.05)
                self.assertAllClose(0.525457, loss.eval(), atol=0.01)
                predicted_labels = get_binary_predictions_for_logistic(predictions)
                self.assertAllEqual([0, 0], predicted_labels.eval())
                self.assertAllClose(0.01, lr.approximate_duality_gap().eval(), rtol=1e-2, atol=1e-2)

# 需要导入模块: from tensorflow.contrib.linear_optimizer.python.ops.sdca_ops import SdcaModel [as 别名]
# 或者: from tensorflow.contrib.linear_optimizer.python.ops.sdca_ops.SdcaModel import regularized_loss [as 别名]
  def testDenseFeaturesWithDefaultWeights(self):
    with self._single_threaded_test_session():
      examples, variables = make_dense_examples_and_variables_dicts(
          dense_features_values=[[[1.0], [0.0]], [0.0, 1.0]],
          weights=[1.0, 1.0],
          labels=[10.0, -5.0])
      options = dict(
          symmetric_l2_regularization=1.0,
          symmetric_l1_regularization=0,
          loss_type='squared_loss')
      lr = SdcaModel(examples, variables, options)
      variables_lib.global_variables_initializer().run()
      predictions = lr.predictions(examples)

      train_op = lr.minimize()
      for _ in range(_MAX_ITERATIONS):
        train_op.run()
      lr.update_weights(train_op).run()

      # The loss function for these particular features is given by:
      # 1/2(label_1-w_1)^2 + 1/2(label_2-w_2)^2 + \lambda/2 (w_1^2 + w_2^2). So,
      # differentiating wrt to w_1, w_2 yields the following optimal values:
      # w_1* = label_1/(\lambda + 1)= 10/2, w_2* =label_2/(\lambda + 1)= -5/2.
      # In this case the (unnormalized regularized) loss will be:
      # 1/2(10-5)^2 + 1/2(5-5/2)^2 + 1/2(5^2 + (5/2)^2) = 125.0/4. The actual
      # loss should be further normalized by the sum of example weights.
      self.assertAllClose([5.0, -2.5], predictions.eval(), rtol=0.01)
      loss = lr.regularized_loss(examples)
      self.assertAllClose(125.0 / 8.0, loss.eval(), atol=0.01)

# 需要导入模块: from tensorflow.contrib.linear_optimizer.python.ops.sdca_ops import SdcaModel [as 别名]
# 或者: from tensorflow.contrib.linear_optimizer.python.ops.sdca_ops.SdcaModel import regularized_loss [as 别名]
    def testSimpleNoL2(self):
        # Same as test above (so comments from above apply) but without an L2.
        # The algorithm should behave as if we have an L2 of 1 in optimization but
        # 0 in regularized_loss.
        example_protos = [
            make_example_proto({"age": [0], "gender": [0]}, 0),
            make_example_proto({"age": [1], "gender": [1]}, 1),
        ]
        example_weights = [1.0, 1.0]
        with self._single_threaded_test_session():
            examples = make_example_dict(example_protos, example_weights)
            variables = make_variable_dict(1, 1)
            options = dict(symmetric_l2_regularization=0, symmetric_l1_regularization=0, loss_type="logistic_loss")

            lr = SdcaModel(CONTAINER, examples, variables, options)
            tf.initialize_all_variables().run()
            unregularized_loss = lr.unregularized_loss(examples)
            loss = lr.regularized_loss(examples)
            predictions = lr.predictions(examples)
            self.assertAllClose(0.693147, unregularized_loss.eval())
            self.assertAllClose(0.693147, loss.eval())
            train_op = lr.minimize()
            for _ in xrange(_MAX_ITERATIONS):
                train_op.run()

            # There is neither L1 nor L2 loss, so regularized and unregularized losses
            # should be exactly the same.
            self.assertAllClose(0.40244, unregularized_loss.eval(), atol=0.01)
            self.assertAllClose(0.40244, loss.eval(), atol=0.01)
            predicted_labels = get_binary_predictions_for_logistic(predictions)
            self.assertAllEqual([0, 1], predicted_labels.eval())
            self.assertAllClose(0.01, lr.approximate_duality_gap().eval(), rtol=1e-2, atol=1e-2)

# 需要导入模块: from tensorflow.contrib.linear_optimizer.python.ops.sdca_ops import SdcaModel [as 别名]
# 或者: from tensorflow.contrib.linear_optimizer.python.ops.sdca_ops.SdcaModel import regularized_loss [as 别名]
 def testImbalancedWithExampleWeights(self):
   # Setup test data with 1 positive, and 3 negative examples.
   example_protos = [
       make_example_proto(
           {'age': [0],
            'gender': [0]}, 0),
       make_example_proto(
           {'age': [1],
            'gender': [1]}, 1),
   ]
   example_weights = [3.0, 1.0]
   with self._single_threaded_test_session():
     examples = make_example_dict(example_protos, example_weights)
     variables = make_variable_dict(1, 1)
     options = dict(symmetric_l2_regularization=0.25,
                    symmetric_l1_regularization=0,
                    loss_type='logistic_loss')
     tf.initialize_all_variables().run()
     lr = SdcaModel(CONTAINER, examples, variables, options)
     unregularized_loss = lr.unregularized_loss(examples)
     loss = lr.regularized_loss(examples)
     prediction = lr.predictions(examples)
     lr.minimize().run()
     self.assertAllClose(0.266189, unregularized_loss.eval(),
                         rtol=3e-2, atol=3e-2)
     self.assertAllClose(0.571912, loss.eval(), rtol=3e-2, atol=3e-2)
     predicted_labels = tf.cast(
         tf.greater_equal(prediction,
                          tf.ones_like(prediction) * 0.5), tf.float32)
     self.assertAllEqual([0, 1], predicted_labels.eval())

# 需要导入模块: from tensorflow.contrib.linear_optimizer.python.ops.sdca_ops import SdcaModel [as 别名]
# 或者: from tensorflow.contrib.linear_optimizer.python.ops.sdca_ops.SdcaModel import regularized_loss [as 别名]
    def testDenseFeaturesSeparableWithinMargins(self):
        with self._single_threaded_test_session():
            examples, variables = make_dense_examples_and_variables_dicts(
                dense_features_values=[[[1.0, 0.5], [1.0, -0.5]]], weights=[1.0, 1.0], labels=[1.0, 0.0]
            )
            options = dict(symmetric_l2_regularization=1.0, symmetric_l1_regularization=0, loss_type="hinge_loss")
            model = SdcaModel(examples, variables, options)
            tf.initialize_all_variables().run()
            predictions = model.predictions(examples)
            binary_predictions = get_binary_predictions_for_hinge(predictions)

            train_op = model.minimize()
            for _ in range(_MAX_ITERATIONS):
                train_op.run()

            # (1.0, 0.5) and (1.0, -0.5) are separable by x-axis but the datapoints
            # are within the margins so there is unregularized loss (1/2 per example).
            # For these datapoints, optimal weights are w_1~=0.0 and w_2~=1.0 which
            # gives an L2 loss of ~0.25.
            self.assertAllClose([0.5, -0.5], predictions.eval(), rtol=0.05)
            self.assertAllEqual([1, 0], binary_predictions.eval())
            unregularized_loss = model.unregularized_loss(examples)
            regularized_loss = model.regularized_loss(examples)
            self.assertAllClose(0.5, unregularized_loss.eval(), atol=0.02)
            self.assertAllClose(0.75, regularized_loss.eval(), atol=0.02)

# 需要导入模块: from tensorflow.contrib.linear_optimizer.python.ops.sdca_ops import SdcaModel [as 别名]
# 或者: from tensorflow.contrib.linear_optimizer.python.ops.sdca_ops.SdcaModel import regularized_loss [as 别名]
    def testSimple(self):
        # Setup test data
        example_protos = [
            make_example_proto({"age": [0], "gender": [0]}, 0),
            make_example_proto({"age": [1], "gender": [1]}, 1),
        ]
        example_weights = [1.0, 1.0]
        with self._single_threaded_test_session():
            examples = make_example_dict(example_protos, example_weights)
            variables = make_variable_dict(1, 1)
            options = dict(symmetric_l2_regularization=1, symmetric_l1_regularization=0, loss_type="logistic_loss")

            lr = SdcaModel(CONTAINER, examples, variables, options)
            tf.initialize_all_variables().run()
            unregularized_loss = lr.unregularized_loss(examples)
            loss = lr.regularized_loss(examples)
            predictions = lr.predictions(examples)
            self.assertAllClose(0.693147, unregularized_loss.eval())
            self.assertAllClose(0.693147, loss.eval())
            train_op = lr.minimize()
            for _ in xrange(_MAX_ITERATIONS):
                train_op.run()
            # The high tolerance in unregularized_loss comparisons is due to the
            # fact that it's possible to trade off unregularized_loss vs.
            # regularization and still have a sum that is quite close to the
            # optimal regularized_loss value.  SDCA's duality gap only ensures that
            # the regularized_loss is within 0.01 of optimal.
            # 0.525457 is the optimal regularized_loss.
            # 0.411608 is the unregularized_loss at that optimum.
            self.assertAllClose(0.411608, unregularized_loss.eval(), atol=0.05)
            self.assertAllClose(0.525457, loss.eval(), atol=0.01)
            predicted_labels = get_binary_predictions_for_logistic(predictions)
            self.assertAllEqual([0, 1], predicted_labels.eval())
            self.assertAllClose(0.01, lr.approximate_duality_gap().eval(), rtol=1e-2, atol=1e-2)

# 需要导入模块: from tensorflow.contrib.linear_optimizer.python.ops.sdca_ops import SdcaModel [as 别名]
# 或者: from tensorflow.contrib.linear_optimizer.python.ops.sdca_ops.SdcaModel import regularized_loss [as 别名]
 def testImbalanced(self):
     # Setup test data with 1 positive, and 3 negative examples.
     example_protos = [
         make_example_proto({"age": [0], "gender": [0]}, 0),
         make_example_proto({"age": [2], "gender": [0]}, 0),
         make_example_proto({"age": [3], "gender": [0]}, 0),
         make_example_proto({"age": [1], "gender": [1]}, 1),
     ]
     example_weights = [1.0, 1.0, 1.0, 1.0]
     with self._single_threaded_test_session():
         examples = make_example_dict(example_protos, example_weights)
         variables = make_variable_dict(3, 1)
         options = dict(
             symmetric_l2_regularization=1, symmetric_l1_regularization=0, loss_type="logistic_loss", prior=-1.09861
         )
         tf.initialize_all_variables().run()
         lr = SdcaModel(CONTAINER, examples, variables, options)
         unregularized_loss = lr.unregularized_loss(examples)
         loss = lr.regularized_loss(examples)
         prediction = lr.predictions(examples)
         lr.minimize().run()
         self.assertAllClose(0.331710, unregularized_loss.eval(), rtol=3e-2, atol=3e-2)
         self.assertAllClose(0.591295, loss.eval(), rtol=3e-2, atol=3e-2)
         predicted_labels = tf.cast(tf.greater_equal(prediction, tf.ones_like(prediction) * 0.5), tf.float32)
         self.assertAllEqual([0, 0, 0, 1], predicted_labels.eval())

# 需要导入模块: from tensorflow.contrib.linear_optimizer.python.ops.sdca_ops import SdcaModel [as 别名]
# 或者: from tensorflow.contrib.linear_optimizer.python.ops.sdca_ops.SdcaModel import regularized_loss [as 别名]
 def testSomeUnweightedExamples(self):
     # Setup test data with 4 examples, but should produce the same
     # results as testSimple.
     example_protos = [
         # Will be used.
         make_example_proto({"age": [0], "gender": [0]}, 0),
         # Will be ignored.
         make_example_proto({"age": [1], "gender": [0]}, 0),
         # Will be used.
         make_example_proto({"age": [1], "gender": [1]}, 1),
         # Will be ignored.
         make_example_proto({"age": [1], "gender": [0]}, 1),
     ]
     example_weights = [1.0, 0.0, 1.0, 0.0]
     with self._single_threaded_test_session():
         # Only use examples 0 and 2
         examples = make_example_dict(example_protos, example_weights)
         variables = make_variable_dict(1, 1)
         options = dict(symmetric_l2_regularization=1, symmetric_l1_regularization=0, loss_type="logistic_loss")
         tf.initialize_all_variables().run()
         lr = SdcaModel(CONTAINER, examples, variables, options)
         unregularized_loss = lr.unregularized_loss(examples)
         loss = lr.regularized_loss(examples)
         prediction = lr.predictions(examples)
         lr.minimize().run()
         self.assertAllClose(0.395226, unregularized_loss.eval(), rtol=3e-2, atol=3e-2)
         self.assertAllClose(0.657446, loss.eval(), rtol=3e-2, atol=3e-2)
         predicted_labels = tf.cast(tf.greater_equal(prediction, tf.ones_like(prediction) * 0.5), tf.float32)
         self.assertAllClose([0, 1, 1, 1], predicted_labels.eval())

# 需要导入模块: from tensorflow.contrib.linear_optimizer.python.ops.sdca_ops import SdcaModel [as 别名]
# 或者: from tensorflow.contrib.linear_optimizer.python.ops.sdca_ops.SdcaModel import regularized_loss [as 别名]
  def testHingeDenseFeaturesWeightedExamples(self):
    with self._single_threaded_test_session():
      examples = make_dense_examples_dict(
          dense_feature_values=[[1.0, 1.0], [0.5, -0.5]],
          weights=[3.0, 1.0],
          labels=[1.0, 0.0])
      variables = make_dense_variable_dict(2, 2)
      options = dict(symmetric_l2_regularization=1.0,
                     symmetric_l1_regularization=0,
                     loss_type='hinge_loss')
      tf.initialize_all_variables().run()
      model = SdcaModel(CONTAINER, examples, variables, options)
      predictions = model.predictions(examples)
      binary_predictions = get_binary_predictions_for_hinge(predictions)
      model.minimize().run()

      # Point (1.0, 0.5) has higher weight than (1.0, -0.5) so the model will
      # try to increase the margin from (1.0, 0.5). Due to regularization,
      # (1.0, -0.5) will be within the margin. For these points and example
      # weights, the optimal weights are w_1~=0.4 and w_2~=1.2 which give an L2
      # loss of 0.25 * 1.6 = 0.4. The binary predictions will be correct, but
      # the boundary will be much closer to the 2nd point than the first one.
      self.assertAllClose([1.0, -0.2], predictions.eval(), atol=0.05)
      self.assertAllClose([1.0, 0.0], binary_predictions.eval(), atol=0.05)
      unregularized_loss = model.unregularized_loss(examples)
      regularized_loss = model.regularized_loss(examples)
      self.assertAllClose(0.2, unregularized_loss.eval(), atol=0.02)
      self.assertAllClose(0.6, regularized_loss.eval(), atol=0.02)

# 需要导入模块: from tensorflow.contrib.linear_optimizer.python.ops.sdca_ops import SdcaModel [as 别名]
# 或者: from tensorflow.contrib.linear_optimizer.python.ops.sdca_ops.SdcaModel import regularized_loss [as 别名]
 def testInstancesOfOneClassOnly(self):
   # Setup test data with 1 positive (ignored), and 1 negative example.
   example_protos = [
       make_example_proto(
           {'age': [0],
            'gender': [0]}, 0),
       make_example_proto(
           {'age': [1],
            'gender': [0]}, 1),  # Shares gender with the instance above.
   ]
   example_weights = [1.0, 0.0]  # Second example "omitted" from training.
   with self._single_threaded_test_session():
     examples = make_example_dict(example_protos, example_weights)
     variables = make_variable_dict(1, 1)
     options = dict(symmetric_l2_regularization=0.25,
                    symmetric_l1_regularization=0,
                    loss_type='logistic_loss')
     tf.initialize_all_variables().run()
     lr = SdcaModel(CONTAINER, examples, variables, options)
     unregularized_loss = lr.unregularized_loss(examples)
     loss = lr.regularized_loss(examples)
     prediction = lr.predictions(examples)
     lr.minimize().run()
     self.assertAllClose(0.395226,
                         unregularized_loss.eval(),
                         rtol=3e-2,
                         atol=3e-2)
     self.assertAllClose(0.460781, loss.eval(), rtol=3e-2, atol=3e-2)
     predicted_labels = tf.cast(
         tf.greater_equal(prediction,
                          tf.ones_like(prediction) * 0.5), tf.float32)
     self.assertAllEqual([0, 0], predicted_labels.eval())

# 需要导入模块: from tensorflow.contrib.linear_optimizer.python.ops.sdca_ops import SdcaModel [as 别名]
# 或者: from tensorflow.contrib.linear_optimizer.python.ops.sdca_ops.SdcaModel import regularized_loss [as 别名]
    def testSomeUnweightedExamples(self):
        # Setup test data with 4 examples, but should produce the same
        # results as testSimple.
        example_protos = [
            # Will be used.
            make_example_proto({"age": [0], "gender": [0]}, 0),
            # Will be ignored.
            make_example_proto({"age": [1], "gender": [0]}, 0),
            # Will be used.
            make_example_proto({"age": [1], "gender": [1]}, 1),
            # Will be ignored.
            make_example_proto({"age": [1], "gender": [0]}, 1),
        ]
        example_weights = [1.0, 0.0, 1.0, 0.0]
        with self._single_threaded_test_session():
            # Only use examples 0 and 2
            examples = make_example_dict(example_protos, example_weights)
            variables = make_variable_dict(1, 1)
            options = dict(symmetric_l2_regularization=1, symmetric_l1_regularization=0, loss_type="logistic_loss")

            lr = SdcaModel(CONTAINER, examples, variables, options)
            tf.initialize_all_variables().run()
            unregularized_loss = lr.unregularized_loss(examples)
            loss = lr.regularized_loss(examples)
            predictions = lr.predictions(examples)
            train_op = lr.minimize()
            for _ in xrange(_MAX_ITERATIONS):
                train_op.run()

            self.assertAllClose(0.411608, unregularized_loss.eval(), atol=0.05)
            self.assertAllClose(0.525457, loss.eval(), atol=0.01)
            predicted_labels = get_binary_predictions_for_logistic(predictions)
            self.assertAllClose([0, 1, 1, 1], predicted_labels.eval())
            self.assertAllClose(0.01, lr.approximate_duality_gap().eval(), rtol=1e-2, atol=1e-2)