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Integrated Gradients

Python implementation of integrated gradients [1]. The algorithm "explains" a prediction of a Keras-based deep learning model by approximating Aumann–Shapley values for the input features. These values allocate the difference between the model prediction for a reference value (all zeros by default) and the prediction for the current sample among the input features. TensorFlow version is implemented now!

Usage

Using Integrated_Gradients is very easy. There is no need to modify your Keras model.
Here is a minimal working example on UCI Iris data.

  1. Build your own Keras model and train it. Make sure to complie it!
from IntegratedGradients import *
from keras.layers import Dense
from keras.layers.core import Activation

X = np.array([[float(j) for j in i.rstrip().split(",")[:-1]] for i in open("iris.data").readlines()][:-1])
Y = np.array([0 for i in range(100)] + [1 for i in range(50)])

model = Sequential([
    Dense(1, input_dim=4),
    Activation('sigmoid'),
])
model.compile(optimizer='sgd', loss='binary_crossentropy')
model.fit(X, Y, epochs=300, batch_size=10, validation_split=0.2, verbose=0)
  1. Wrap it with an integrated_gradients instance.
ig = integrated_gradients(model)
  1. Call explain() with a sample to explain.
ig.explain(X[0])
==> array([-0.25757075, -0.24014562,  0.12732635,  0.00960122])

Features

Example notebooks

MNIST example

We trained a simple CNN model (1 conv layer and 1 dense layer) on the MNIST imagesets. Here are some results of running integrated_gradients on the trained model and explaining some samples.

alt text alt text alt text alt text alt text alt text alt text

References

  1. Sundararajan, Mukund, Ankur Taly, and Qiqi Yan. "Axiomatic Attribution for Deep Networks." arXiv preprint arXiv:1703.01365 (2017).

Email me at hiranumn at cs dot washington dot edu for questions.