Grad-CAM ++

View colab tutorial | View source | 📰 Paper

Grad-CAM++ is a technique for producing visual explanations that can be used on Convolutional Neural Network (CNN) which uses both gradients and the feature maps of the last convolutional layer.

More precisely, to obtain the localization map for a prediction \(f(x)\), we need to compute the weights \(w_k\) associated to each of the feature map channel \(A^k \in \mathbb{R}^{W \times H}\). As we use the last convolutionnal layer, \(k\) will be the number of filters, \(Z\) is the number of pixels in each feature map (\(Z = W \times H\), e.g. 7x7 for ResNet50). once this weights are obtained, we use them to ponderate and aggregate the feature maps to obtain our grad-cam++ attribution \(\phi\):

\[ \phi = \text{max}(0, \sum_k w_k A^k) \]

Notice that \(\phi \in \mathbb{R}^{W \times H}\) and thus the size of the explanation depends on the size of the feature map (\(W, H\)) of the last feature map. In order to compare it to the original input \(x\), we upsample \(\phi\) using bicubic interpolation.

Example

from xplique.attributions import GradCAMPP

# load images, labels and model
# ...

method = GradCAMPP(model)
explanations = method.explain(images, labels)

Notebooks

• Attribution Methods: Getting started
• GradCAMPP: Going Further

GradCAMPP

Used to compute the Grad-CAM++ visualization method.

__init__(self,
         model: keras.src.engine.training.Model,
         output_layer: Union[str, int, None] = None,
         batch_size: Optional[int] = 32,
         operator: Union[xplique.commons.operators_operations.Tasks, str,
         Callable[[keras.src.engine.training.Model, tensorflow.python.framework.tensor.Tensor, tensorflow.python.framework.tensor.Tensor], float], None] = None,
         conv_layer: Union[str, int, None] = None)

Parameters

• model : keras.src.engine.training.Model

  • The model from which we want to obtain explanations

• output_layer : Union[str, int, None] = None

  • Layer to target for the outputs (e.g logits or after softmax).

    If an int is provided it will be interpreted as a layer index.

    If a string is provided it will look for the layer name.

    Default to the last layer.

    It is recommended to use the layer before Softmax.

• batch_size : Optional[int] = 32

  • Number of inputs to explain at once, if None compute all at once.

• operator : Union[xplique.commons.operators_operations.Tasks, str, Callable[[keras.src.engine.training.Model, tensorflow.python.framework.tensor.Tensor, tensorflow.python.framework.tensor.Tensor], float], None] = None

  • Function g to explain, g take 3 parameters (f, x, y) and should return a scalar, with f the model, x the inputs and y the targets. If None, use the standard operator g(f, x, y) = f(x)[y].

• conv_layer : Union[str, int, None] = None

  • Layer to target for Grad-CAM++ algorithm.

    If an int is provided it will be interpreted as a layer index.

    If a string is provided it will look for the layer name.

explain(self,
        inputs: Union[tf.Dataset, tensorflow.python.framework.tensor.Tensor, numpy.ndarray],
        targets: Union[tensorflow.python.framework.tensor.Tensor, numpy.ndarray, None] = None) -> tensorflow.python.framework.tensor.Tensor

Compute and resize explanations to match inputs shape. Accept Tensor, numpy array or tf.data.Dataset (in that case targets is None)

Parameters

• inputs : Union[tf.Dataset, tensorflow.python.framework.tensor.Tensor, numpy.ndarray]

  • Dataset, Tensor or Array. Input samples to be explained.

    If Dataset, targets should not be provided (included in Dataset).

    Expected shape among (N, W), (N, T, W), (N, H, W, C).

    More information in the documentation.

• targets : Union[tensorflow.python.framework.tensor.Tensor, numpy.ndarray, None] = None

  • Tensor or Array. One-hot encoding of the model's output from which an explanation is desired. One encoding per input and only one output at a time. Therefore, the expected shape is (N, output_size).

    More information in the documentation.

Return

• grad_cam : tensorflow.python.framework.tensor.Tensor

  • Grad-CAM explanations, same shape as the inputs except for the channels.

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1. Grad-CAM++: Improved Visual Explanations for Deep Convolutional Networks (2017). ↩