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python - Upweight a Category

I have built a TensorFlow model that uses a DNNClassifier to classify input into two categories.

My problem is that Outcome 1 occurs upwards of 90-95% of the time. Therefore, TensorFlow is giving me the same probabilities for all of my predictions.

I am trying to predict the other outcome (e.g. having a false positive for Outcome 2 is preferable to missing a possible occurrence of Outcome 2). I know that in machine learning in general, in this case it would be worthwhile to try to upweight Outcome 2.

However, I don't know how to do this in TensorFlow. The documentation alludes to it being possible, but I can't find any examples of what it would actually look like. Has anyone has successfully done this, or does anyone know where I could find some example code or a thorough explanation (I'm using Python)?

Note: I have seen exposed weights being manipulated when someone is using the more fundamental parts of TensorFlow and not an estimator. For maintenance reasons, I need to do this using an estimator.

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tf.estimator.DNNClassifier constructor has weight_column argument:

weight_column: A string or a _NumericColumn created by tf.feature_column.numeric_column defining feature column representing weights. It is used to down weight or boost examples during training. It will be multiplied by the loss of the example. If it is a string, it is used as a key to fetch weight tensor from the features. If it is a _NumericColumn, raw tensor is fetched by key weight_column.key, then weight_column.normalizer_fn is applied on it to get weight tensor.

So just add a new column and fill it with some weight for the rare class:

weight = tf.feature_column.numeric_column('weight')
...
tf.estimator.DNNClassifier(..., weight_column=weight)

[Update] Here's a complete working example:

import numpy as np
import tensorflow as tf
from tensorflow.examples.tutorials.mnist import input_data

mnist = input_data.read_data_sets('mnist', one_hot=False)
train_x, train_y = mnist.train.next_batch(1024)
test_x, test_y = mnist.test.images, mnist.test.labels

x_column = tf.feature_column.numeric_column('x', shape=[784])
weight_column = tf.feature_column.numeric_column('weight')
classifier = tf.estimator.DNNClassifier(feature_columns=[x_column],
                                        hidden_units=[100, 100],
                                        weight_column=weight_column,
                                        n_classes=10)

# Training
train_input_fn = tf.estimator.inputs.numpy_input_fn(x={'x': train_x, 'weight': np.ones(train_x.shape[0])},
                                                    y=train_y.astype(np.int32),
                                                    num_epochs=None, shuffle=True)
classifier.train(input_fn=train_input_fn, steps=1000)

# Testing
test_input_fn = tf.estimator.inputs.numpy_input_fn(x={'x': test_x, 'weight': np.ones(test_x.shape[0])},
                                                   y=test_y.astype(np.int32),
                                                   num_epochs=1, shuffle=False)
acc = classifier.evaluate(input_fn=test_input_fn)
print('Test Accuracy: %.3f' % acc['accuracy'])

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