Layer Attribution¶
Layer Conductance¶

class
captum.attr.
LayerConductance
(forward_func, layer, device_ids=None)[source]¶ Computes conductance with respect to the given layer. The returned output is in the shape of the layer’s output, showing the total conductance of each hidden layer neuron.
The details of the approach can be found here: https://arxiv.org/abs/1805.12233 https://arxiv.org/pdf/1807.09946.pdf
Note that this provides the total conductance of each neuron in the layer’s output. To obtain the breakdown of a neuron’s conductance by input features, utilize NeuronConductance instead, and provide the target neuron index.
 Parameters
forward_func (callable) – The forward function of the model or any modification of it
layer (torch.nn.Module) – Layer for which attributions are computed. Output size of attribute matches this layer’s input or output dimensions, depending on whether we attribute to the inputs or outputs of the layer, corresponding to attribution of each neuron in the input or output of this layer.
device_ids (list(int)) – Device ID list, necessary only if forward_func applies a DataParallel model. This allows reconstruction of intermediate outputs from batched results across devices. If forward_func is given as the DataParallel model itself, then it is not necessary to provide this argument.

attribute
(inputs: Union[Tensor, Tuple[Tensor, …]], baselines: BaselineType = None, target: TargetType = None, additional_forward_args: Any = None, n_steps: int = 50, method: str = 'gausslegendre', internal_batch_size: Union[None, int] = None, *, return_convergence_delta: Literal[True], attribute_to_layer_input: bool = 'False') → Tuple[Union[Tensor, Tuple[Tensor, …]], Tensor][source]¶ 
attribute
(inputs: Union[Tensor, Tuple[Tensor, …]], baselines: BaselineType = None, target: TargetType = None, additional_forward_args: Any = None, n_steps: int = 50, method: str = 'gausslegendre', internal_batch_size: Union[None, int] = None, return_convergence_delta: Literal[False] = False, attribute_to_layer_input: bool = False) → Union[Tensor, Tuple[Tensor, …]]  Parameters
inputs (tensor or tuple of tensors) – Input for which layer conductance is computed. If forward_func takes a single tensor as input, a single input tensor should be provided. If forward_func takes multiple tensors as input, a tuple of the input tensors should be provided. It is assumed that for all given input tensors, dimension 0 corresponds to the number of examples, and if multiple input tensors are provided, the examples must be aligned appropriately.
baselines (scalar, tensor, tuple of scalars or tensors, optional) –
Baselines define the starting point from which integral is computed and can be provided as:
a single tensor, if inputs is a single tensor, with exactly the same dimensions as inputs or the first dimension is one and the remaining dimensions match with inputs.
a single scalar, if inputs is a single tensor, which will be broadcasted for each input value in input tensor.
a tuple of tensors or scalars, the baseline corresponding to each tensor in the inputs’ tuple can be:
either a tensor with matching dimensions to corresponding tensor in the inputs’ tuple or the first dimension is one and the remaining dimensions match with the corresponding input tensor.
or a scalar, corresponding to a tensor in the inputs’ tuple. This scalar value is broadcasted for corresponding input tensor.
In the cases when baselines is not provided, we internally use zero scalar corresponding to each input tensor.
Default: None
target (int, tuple, tensor or list, optional) –
Output indices for which gradients are computed (for classification cases, this is usually the target class). If the network returns a scalar value per example, no target index is necessary. For general 2D outputs, targets can be either:
a single integer or a tensor containing a single integer, which is applied to all input examples
a list of integers or a 1D tensor, with length matching the number of examples in inputs (dim 0). Each integer is applied as the target for the corresponding example.
For outputs with > 2 dimensions, targets can be either:
A single tuple, which contains #output_dims  1 elements. This target index is applied to all examples.
A list of tuples with length equal to the number of examples in inputs (dim 0), and each tuple containing #output_dims  1 elements. Each tuple is applied as the target for the corresponding example.
Default: None
additional_forward_args (any, optional) – If the forward function requires additional arguments other than the inputs for which attributions should not be computed, this argument can be provided. It must be either a single additional argument of a Tensor or arbitrary (nontuple) type or a tuple containing multiple additional arguments including tensors or any arbitrary python types. These arguments are provided to forward_func in order following the arguments in inputs. For a tensor, the first dimension of the tensor must correspond to the number of examples. It will be repeated for each of n_steps along the integrated path. For all other types, the given argument is used for all forward evaluations. Note that attributions are not computed with respect to these arguments. Default: None
n_steps (int, optional) – The number of steps used by the approximation method. Default: 50.
method (string, optional) – Method for approximating the integral, one of riemann_right, riemann_left, riemann_middle, riemann_trapezoid or gausslegendre. Default: gausslegendre if no method is provided.
internal_batch_size (int, optional) – Divides total #steps * #examples data points into chunks of size at most internal_batch_size, which are computed (forward / backward passes) sequentially. internal_batch_size must be at least equal to 2 * #examples. For DataParallel models, each batch is split among the available devices, so evaluations on each available device contain internal_batch_size / num_devices examples. If internal_batch_size is None, then all evaluations are processed in one batch. Default: None
return_convergence_delta (bool, optional) – Indicates whether to return convergence delta or not. If return_convergence_delta is set to True convergence delta will be returned in a tuple following attributions. Default: False
attribute_to_layer_input (bool, optional) – Indicates whether to compute the attribution with respect to the layer input or output. If attribute_to_layer_input is set to True then the attributions will be computed with respect to layer inputs, otherwise it will be computed with respect to layer outputs. Note that currently it is assumed that either the input or the output of internal layer, depending on whether we attribute to the input or output, is a single tensor. Support for multiple tensors will be added later. Default: False
 Returns
 attributions (tensor or tuple of tensors):
Conductance of each neuron in given layer input or output. Attributions will always be the same size as the input or output of the given layer, depending on whether we attribute to the inputs or outputs of the layer which is decided by the input flag attribute_to_layer_input. Attributions are returned in a tuple if the layer inputs / outputs contain multiple tensors, otherwise a single tensor is returned.
 delta (tensor, returned if return_convergence_delta=True):
The difference between the total approximated and true conductance. This is computed using the property that the total sum of forward_func(inputs)  forward_func(baselines) must equal the total sum of the attributions. Delta is calculated per example, meaning that the number of elements in returned delta tensor is equal to the number of of examples in inputs.
 Return type
attributions or 2element tuple of attributions, delta
Examples:
>>> # ImageClassifier takes a single input tensor of images Nx3x32x32, >>> # and returns an Nx10 tensor of class probabilities. >>> # It contains an attribute conv1, which is an instance of nn.conv2d, >>> # and the output of this layer has dimensions Nx12x32x32. >>> net = ImageClassifier() >>> layer_cond = LayerConductance(net, net.conv1) >>> input = torch.randn(2, 3, 32, 32, requires_grad=True) >>> # Computes layer conductance for class 3. >>> # attribution size matches layer output, Nx12x32x32 >>> attribution = layer_cond.attribute(input, target=3)

has_convergence_delta
()[source]¶ This method informs the user whether the attribution algorithm provides a convergence delta (aka an approximation error) or not. Convergence delta may serve as a proxy of correctness of attribution algorithm’s approximation. If deriving attribution class provides a compute_convergence_delta method, it should override both compute_convergence_delta and has_convergence_delta methods.
 Returns
Returns whether the attribution algorithm provides a convergence delta (aka approximation error) or not.
 Return type
Layer Activation¶

class
captum.attr.
LayerActivation
(forward_func, layer, device_ids=None)[source]¶ Computes activation of selected layer for given input.
 Parameters
forward_func (callable) – The forward function of the model or any modification of it
layer (torch.nn.Module or list(torch.nn.Module)) – Layer or layers for which attributions are computed. Output size of attribute matches this layer’s input or output dimensions, depending on whether we attribute to the inputs or outputs of the layer, corresponding to attribution of each neuron in the input or output of this layer. If multiple layers are provided, attributions are returned as a list, each element corresponding to the activations of the corresponding layer.
device_ids (list(int)) – Device ID list, necessary only if forward_func applies a DataParallel model. This allows reconstruction of intermediate outputs from batched results across devices. If forward_func is given as the DataParallel model itself, then it is not necessary to provide this argument.

attribute
(inputs, additional_forward_args=None, attribute_to_layer_input=False)[source]¶  Parameters
inputs (tensor or tuple of tensors) – Input for which layer activation is computed. If forward_func takes a single tensor as input, a single input tensor should be provided. If forward_func takes multiple tensors as input, a tuple of the input tensors should be provided. It is assumed that for all given input tensors, dimension 0 corresponds to the number of examples, and if multiple input tensors are provided, the examples must be aligned appropriately.
additional_forward_args (any, optional) – If the forward function requires additional arguments other than the inputs for which attributions should not be computed, this argument can be provided. It must be either a single additional argument of a Tensor or arbitrary (nontuple) type or a tuple containing multiple additional arguments including tensors or any arbitrary python types. These arguments are provided to forward_func in order following the arguments in inputs. Note that attributions are not computed with respect to these arguments. Default: None
attribute_to_layer_input (bool, optional) – Indicates whether to compute the attribution with respect to the layer input or output. If attribute_to_layer_input is set to True then the attributions will be computed with respect to layer input, otherwise it will be computed with respect to layer output. Note that currently it is assumed that either the input or the output of internal layer, depending on whether we attribute to the input or output, is a single tensor. Support for multiple tensors will be added later. Default: False
 Returns
 attributions (tensor or tuple of tensors or list):
Activation of each neuron in given layer output. Attributions will always be the same size as the output of the given layer. Attributions are returned in a tuple if the layer inputs / outputs contain multiple tensors, otherwise a single tensor is returned. If multiple layers are provided, attributions are returned as a list, each element corresponding to the activations of the corresponding layer.
 Return type
tensor or tuple of tensors or list of attributions
Examples:
>>> # ImageClassifier takes a single input tensor of images Nx3x32x32, >>> # and returns an Nx10 tensor of class probabilities. >>> # It contains an attribute conv1, which is an instance of nn.conv2d, >>> # and the output of this layer has dimensions Nx12x32x32. >>> net = ImageClassifier() >>> layer_act = LayerActivation(net, net.conv1) >>> input = torch.randn(2, 3, 32, 32, requires_grad=True) >>> # Computes layer activation. >>> # attribution is layer output, with size Nx12x32x32 >>> attribution = layer_cond.attribute(input)
Internal Influence¶

class
captum.attr.
InternalInfluence
(forward_func, layer, device_ids=None)[source]¶ Computes internal influence by approximating the integral of gradients for a particular layer along the path from a baseline input to the given input. If no baseline is provided, the default baseline is the zero tensor. More details on this approach can be found here: https://arxiv.org/pdf/1802.03788.pdf
Note that this method is similar to applying integrated gradients and taking the layer as input, integrating the gradient of the layer with respect to the output.
 Parameters
forward_func (callable) – The forward function of the model or any modification of it
layer (torch.nn.Module) – Layer for which attributions are computed. Output size of attribute matches this layer’s input or output dimensions, depending on whether we attribute to the inputs or outputs of the layer, corresponding to attribution of each neuron in the input or output of this layer.
device_ids (list(int)) – Device ID list, necessary only if forward_func applies a DataParallel model. This allows reconstruction of intermediate outputs from batched results across devices. If forward_func is given as the DataParallel model itself, then it is not necessary to provide this argument.

attribute
(inputs, baselines=None, target=None, additional_forward_args=None, n_steps=50, method='gausslegendre', internal_batch_size=None, attribute_to_layer_input=False)[source]¶  Parameters
inputs (tensor or tuple of tensors) – Input for which internal influence is computed. If forward_func takes a single tensor as input, a single input tensor should be provided. If forward_func takes multiple tensors as input, a tuple of the input tensors should be provided. It is assumed that for all given input tensors, dimension 0 corresponds to the number of examples, and if multiple input tensors are provided, the examples must be aligned appropriately.
scalar (baselines) –
Baselines define a starting point from which integral is computed and can be provided as:
a single tensor, if inputs is a single tensor, with exactly the same dimensions as inputs or the first dimension is one and the remaining dimensions match with inputs.
a single scalar, if inputs is a single tensor, which will be broadcasted for each input value in input tensor.
a tuple of tensors or scalars, the baseline corresponding to each tensor in the inputs’ tuple can be:
either a tensor with matching dimensions to corresponding tensor in the inputs’ tuple or the first dimension is one and the remaining dimensions match with the corresponding input tensor.
or a scalar, corresponding to a tensor in the inputs’ tuple. This scalar value is broadcasted for corresponding input tensor.
In the cases when baselines is not provided, we internally use zero scalar corresponding to each input tensor.
Default: None
tensor –
Baselines define a starting point from which integral is computed and can be provided as:
a single tensor, if inputs is a single tensor, with exactly the same dimensions as inputs or the first dimension is one and the remaining dimensions match with inputs.
a single scalar, if inputs is a single tensor, which will be broadcasted for each input value in input tensor.
a tuple of tensors or scalars, the baseline corresponding to each tensor in the inputs’ tuple can be:
either a tensor with matching dimensions to corresponding tensor in the inputs’ tuple or the first dimension is one and the remaining dimensions match with the corresponding input tensor.
or a scalar, corresponding to a tensor in the inputs’ tuple. This scalar value is broadcasted for corresponding input tensor.
In the cases when baselines is not provided, we internally use zero scalar corresponding to each input tensor.
Default: None
of scalars or tensors (tuple) –
Baselines define a starting point from which integral is computed and can be provided as:
a single tensor, if inputs is a single tensor, with exactly the same dimensions as inputs or the first dimension is one and the remaining dimensions match with inputs.
a single scalar, if inputs is a single tensor, which will be broadcasted for each input value in input tensor.
a tuple of tensors or scalars, the baseline corresponding to each tensor in the inputs’ tuple can be:
either a tensor with matching dimensions to corresponding tensor in the inputs’ tuple or the first dimension is one and the remaining dimensions match with the corresponding input tensor.
or a scalar, corresponding to a tensor in the inputs’ tuple. This scalar value is broadcasted for corresponding input tensor.
In the cases when baselines is not provided, we internally use zero scalar corresponding to each input tensor.
Default: None
optional) –
Baselines define a starting point from which integral is computed and can be provided as:
a single tensor, if inputs is a single tensor, with exactly the same dimensions as inputs or the first dimension is one and the remaining dimensions match with inputs.
a single scalar, if inputs is a single tensor, which will be broadcasted for each input value in input tensor.
a tuple of tensors or scalars, the baseline corresponding to each tensor in the inputs’ tuple can be:
either a tensor with matching dimensions to corresponding tensor in the inputs’ tuple or the first dimension is one and the remaining dimensions match with the corresponding input tensor.
or a scalar, corresponding to a tensor in the inputs’ tuple. This scalar value is broadcasted for corresponding input tensor.
In the cases when baselines is not provided, we internally use zero scalar corresponding to each input tensor.
Default: None
target (int, tuple, tensor or list, optional) –
Output indices for which gradients are computed (for classification cases, this is usually the target class). If the network returns a scalar value per example, no target index is necessary. For general 2D outputs, targets can be either:
a single integer or a tensor containing a single integer, which is applied to all input examples
a list of integers or a 1D tensor, with length matching the number of examples in inputs (dim 0). Each integer is applied as the target for the corresponding example.
For outputs with > 2 dimensions, targets can be either:
A single tuple, which contains #output_dims  1 elements. This target index is applied to all examples.
A list of tuples with length equal to the number of examples in inputs (dim 0), and each tuple containing #output_dims  1 elements. Each tuple is applied as the target for the corresponding example.
Default: None
additional_forward_args (any, optional) – If the forward function requires additional arguments other than the inputs for which attributions should not be computed, this argument can be provided. It must be either a single additional argument of a Tensor or arbitrary (nontuple) type or a tuple containing multiple additional arguments including tensors or any arbitrary python types. These arguments are provided to forward_func in order following the arguments in inputs. For a tensor, the first dimension of the tensor must correspond to the number of examples. It will be repeated for each of n_steps along the integrated path. For all other types, the given argument is used for all forward evaluations. Note that attributions are not computed with respect to these arguments. Default: None
n_steps (int, optional) – The number of steps used by the approximation method. Default: 50.
method (string, optional) – Method for approximating the integral, one of riemann_right, riemann_left, riemann_middle, riemann_trapezoid or gausslegendre. Default: gausslegendre if no method is provided.
internal_batch_size (int, optional) – Divides total #steps * #examples data points into chunks of size at most internal_batch_size, which are computed (forward / backward passes) sequentially. internal_batch_size must be at least equal to #examples. For DataParallel models, each batch is split among the available devices, so evaluations on each available device contain internal_batch_size / num_devices examples. If internal_batch_size is None, then all evaluations are processed in one batch. Default: None
attribute_to_layer_input (bool, optional) – Indicates whether to compute the attribution with respect to the layer input or output. If attribute_to_layer_input is set to True then the attributions will be computed with respect to layer inputs, otherwise it will be computed with respect to layer outputs. Note that currently it is assumed that either the input or the output of internal layer, depending on whether we attribute to the input or output, is a single tensor. Support for multiple tensors will be added later. Default: False
 Returns
 attributions (tensor or tuple of tensors):
Internal influence of each neuron in given layer output. Attributions will always be the same size as the output or input of the given layer depending on whether attribute_to_layer_input is set to False or `True`respectively. Attributions are returned in a tuple if the layer inputs / outputs contain multiple tensors, otherwise a single tensor is returned.
 Return type
tensor or tuple of tensors of attributions
Examples:
>>> # ImageClassifier takes a single input tensor of images Nx3x32x32, >>> # and returns an Nx10 tensor of class probabilities. >>> # It contains an attribute conv1, which is an instance of nn.conv2d, >>> # and the output of this layer has dimensions Nx12x32x32. >>> net = ImageClassifier() >>> layer_int_inf = InternalInfluence(net, net.conv1) >>> input = torch.randn(2, 3, 32, 32, requires_grad=True) >>> # Computes layer internal influence. >>> # attribution size matches layer output, Nx12x32x32 >>> attribution = layer_int_inf.attribute(input)
Layer Gradient X Activation¶

class
captum.attr.
LayerGradientXActivation
(forward_func, layer, device_ids=None, multiply_by_inputs=True)[source]¶ Computes elementwise product of gradient and activation for selected layer on given inputs.
 Parameters
forward_func (callable) – The forward function of the model or any modification of it
layer (torch.nn.Module or list(torch.nn.Module)) – Layer or layers for which attributions are computed. Output size of attribute matches this layer’s input or output dimensions, depending on whether we attribute to the inputs or outputs of the layer, corresponding to attribution of each neuron in the input or output of this layer. If multiple layers are provided, attributions are returned as a list, each element corresponding to the attributions of the corresponding layer.
device_ids (list(int)) – Device ID list, necessary only if forward_func applies a DataParallel model. This allows reconstruction of intermediate outputs from batched results across devices. If forward_func is given as the DataParallel model itself, then it is not necessary to provide this argument.
multiply_by_inputs (bool, optional) –
Indicates whether to factor model inputs’ multiplier in the final attribution scores. In the literature this is also known as local vs global attribution. If inputs’ multiplier isn’t factored in, then this type of attribution method is also called local attribution. If it is, then that type of attribution method is called global. More detailed can be found here: https://arxiv.org/abs/1711.06104
In case of layer gradient x activation, if multiply_by_inputs is set to True, final sensitivity scores are being multiplied by layer activations for inputs.

attribute
(inputs, target=None, additional_forward_args=None, attribute_to_layer_input=False)[source]¶  Parameters
inputs (tensor or tuple of tensors) – Input for which attributions are computed. If forward_func takes a single tensor as input, a single input tensor should be provided. If forward_func takes multiple tensors as input, a tuple of the input tensors should be provided. It is assumed that for all given input tensors, dimension 0 corresponds to the number of examples, and if multiple input tensors are provided, the examples must be aligned appropriately.
target (int, tuple, tensor or list, optional) –
Output indices for which gradients are computed (for classification cases, this is usually the target class). If the network returns a scalar value per example, no target index is necessary. For general 2D outputs, targets can be either:
a single integer or a tensor containing a single integer, which is applied to all input examples
a list of integers or a 1D tensor, with length matching the number of examples in inputs (dim 0). Each integer is applied as the target for the corresponding example.
For outputs with > 2 dimensions, targets can be either:
A single tuple, which contains #output_dims  1 elements. This target index is applied to all examples.
A list of tuples with length equal to the number of examples in inputs (dim 0), and each tuple containing #output_dims  1 elements. Each tuple is applied as the target for the corresponding example.
Default: None
additional_forward_args (any, optional) – If the forward function requires additional arguments other than the inputs for which attributions should not be computed, this argument can be provided. It must be either a single additional argument of a Tensor or arbitrary (nontuple) type or a tuple containing multiple additional arguments including tensors or any arbitrary python types. These arguments are provided to forward_func in order following the arguments in inputs. Note that attributions are not computed with respect to these arguments. Default: None
attribute_to_layer_input (bool, optional) – Indicates whether to compute the attribution with respect to the layer input or output. If attribute_to_layer_input is set to True then the attributions will be computed with respect to layer input, otherwise it will be computed with respect to layer output. Default: False
 Returns
 attributions (tensor or tuple of tensors or list):
Product of gradient and activation for each neuron in given layer output. Attributions will always be the same size as the output of the given layer. Attributions are returned in a tuple if the layer inputs / outputs contain multiple tensors, otherwise a single tensor is returned. If multiple layers are provided, attributions are returned as a list, each element corresponding to the activations of the corresponding layer.
 Return type
tensor or tuple of tensors or list of attributions
Examples:
>>> # ImageClassifier takes a single input tensor of images Nx3x32x32, >>> # and returns an Nx10 tensor of class probabilities. >>> # It contains an attribute conv1, which is an instance of nn.conv2d, >>> # and the output of this layer has dimensions Nx12x32x32. >>> net = ImageClassifier() >>> layer_ga = LayerGradientXActivation(net, net.conv1) >>> input = torch.randn(2, 3, 32, 32, requires_grad=True) >>> # Computes layer activation x gradient for class 3. >>> # attribution size matches layer output, Nx12x32x32 >>> attribution = layer_ga.attribute(input, 3)
GradCAM¶

class
captum.attr.
LayerGradCam
(forward_func, layer, device_ids=None)[source]¶ Computes GradCAM attribution for chosen layer. GradCAM is designed for convolutional neural networks, and is usually applied to the last convolutional layer.
GradCAM computes the gradients of the target output with respect to the given layer, averages for each output channel (dimension 2 of output), and multiplies the average gradient for each channel by the layer activations. The results are summed over all channels.
Note that in the original GradCAM algorithm described in the paper, ReLU is applied to the output, returning only nonnegative attributions. For providing more flexibility to the user, we choose to not perform the ReLU internally by default and return the sign information. To match the original GradCAM algorithm, it is necessary to pass the parameter relu_attributions=True to apply ReLU on the final attributions or alternatively only visualize the positive attributions.
Note: this procedure sums over the second dimension (# of channels), so the output of GradCAM attributions will have a second dimension of 1, but all other dimensions will match that of the layer output.
GradCAM attributions are generally upsampled and can be viewed as a mask to the input, since a convolutional layer output generally matches the input image spatially. This upsampling can be performed using LayerAttribution.interpolate, as shown in the example below.
More details regarding the GradCAM method can be found in the original paper here: https://arxiv.org/pdf/1610.02391.pdf
 Parameters
forward_func (callable) – The forward function of the model or any modification of it
layer (torch.nn.Module) – Layer for which attributions are computed. Output size of attribute matches this layer’s output dimensions, except for dimension 2, which will be 1, since GradCAM sums over channels.
device_ids (list(int)) – Device ID list, necessary only if forward_func applies a DataParallel model. This allows reconstruction of intermediate outputs from batched results across devices. If forward_func is given as the DataParallel model itself, then it is not necessary to provide this argument.

attribute
(inputs, target=None, additional_forward_args=None, attribute_to_layer_input=False, relu_attributions=False)[source]¶  Parameters
inputs (tensor or tuple of tensors) – Input for which attributions are computed. If forward_func takes a single tensor as input, a single input tensor should be provided. If forward_func takes multiple tensors as input, a tuple of the input tensors should be provided. It is assumed that for all given input tensors, dimension 0 corresponds to the number of examples, and if multiple input tensors are provided, the examples must be aligned appropriately.
target (int, tuple, tensor or list, optional) –
Output indices for which gradients are computed (for classification cases, this is usually the target class). If the network returns a scalar value per example, no target index is necessary. For general 2D outputs, targets can be either:
a single integer or a tensor containing a single integer, which is applied to all input examples
a list of integers or a 1D tensor, with length matching the number of examples in inputs (dim 0). Each integer is applied as the target for the corresponding example.
For outputs with > 2 dimensions, targets can be either:
A single tuple, which contains #output_dims  1 elements. This target index is applied to all examples.
A list of tuples with length equal to the number of examples in inputs (dim 0), and each tuple containing #output_dims  1 elements. Each tuple is applied as the target for the corresponding example.
Default: None
additional_forward_args (any, optional) – If the forward function requires additional arguments other than the inputs for which attributions should not be computed, this argument can be provided. It must be either a single additional argument of a Tensor or arbitrary (nontuple) type or a tuple containing multiple additional arguments including tensors or any arbitrary python types. These arguments are provided to forward_func in order following the arguments in inputs. Note that attributions are not computed with respect to these arguments. Default: None
attribute_to_layer_input (bool, optional) – Indicates whether to compute the attributions with respect to the layer input or output. If attribute_to_layer_input is set to True then the attributions will be computed with respect to the layer input, otherwise it will be computed with respect to layer output. Note that currently it is assumed that either the input or the outputs of internal layers, depending on whether we attribute to the input or output, are single tensors. Support for multiple tensors will be added later. Default: False
relu_attributions (bool, optional) – Indicates whether to apply a ReLU operation on the final attribution, returning only nonnegative attributions. Setting this flag to True matches the original GradCAM algorithm, otherwise, by default, both positive and negative attributions are returned. Default: False
 Returns
 attributions (tensor or tuple of tensors):
Attributions based on GradCAM method. Attributions will be the same size as the output of the given layer, except for dimension 2, which will be 1 due to summing over channels. Attributions are returned in a tuple if the layer inputs / outputs contain multiple tensors, otherwise a single tensor is returned.
 Return type
tensor or tuple of tensors of attributions
Examples:
>>> # ImageClassifier takes a single input tensor of images Nx3x32x32, >>> # and returns an Nx10 tensor of class probabilities. >>> # It contains a layer conv4, which is an instance of nn.conv2d, >>> # and the output of this layer has dimensions Nx50x8x8. >>> # It is the last convolution layer, which is the recommended >>> # use case for GradCAM. >>> net = ImageClassifier() >>> layer_gc = LayerGradCam(net, net.conv4) >>> input = torch.randn(2, 3, 32, 32, requires_grad=True) >>> # Computes layer GradCAM for class 3. >>> # attribution size matches layer output except for dimension >>> # 1, so dimensions of attr would be Nx1x8x8. >>> attr = layer_gc.attribute(input, 3) >>> # GradCAM attributions are often upsampled and viewed as a >>> # mask to the input, since the convolutional layer output >>> # spatially matches the original input image. >>> # This can be done with LayerAttribution's interpolate method. >>> upsampled_attr = LayerAttribution.interpolate(attr, (32, 32))
Layer DeepLift¶

class
captum.attr.
LayerDeepLift
(model, layer, multiply_by_inputs=True)[source]¶ Implements DeepLIFT algorithm for the layer based on the following paper: Learning Important Features Through Propagating Activation Differences, Avanti Shrikumar, et. al. https://arxiv.org/abs/1704.02685
and the gradient formulation proposed in: Towards better understanding of gradientbased attribution methods for deep neural networks, Marco Ancona, et.al. https://openreview.net/pdf?id=Sy21R9JAW
This implementation supports only Rescale rule. RevealCancel rule will be supported in later releases. Although DeepLIFT’s(Rescale Rule) attribution quality is comparable with Integrated Gradients, it runs significantly faster than Integrated Gradients and is preferred for large datasets.
Currently we only support a limited number of nonlinear activations but the plan is to expand the list in the future.
Note: As we know, currently we cannot access the building blocks, of PyTorch’s builtin LSTM, RNNs and GRUs such as Tanh and Sigmoid. Nonetheless, it is possible to build custom LSTMs, RNNS and GRUs with performance similar to builtin ones using TorchScript. More details on how to build custom RNNs can be found here: https://pytorch.org/blog/optimizingcudarnnwithtorchscript/
 Parameters
model (torch.nn.Module) – The reference to PyTorch model instance.
layer (torch.nn.Module) – Layer for which attributions are computed. The size and dimensionality of the attributions corresponds to the size and dimensionality of the layer’s input or output depending on whether we attribute to the inputs or outputs of the layer.
multiply_by_inputs (bool, optional) –
Indicates whether to factor model inputs’ multiplier in the final attribution scores. In the literature this is also known as local vs global attribution. If inputs’ multiplier isn’t factored in then that type of attribution method is also called local attribution. If it is, then that type of attribution method is called global. More detailed can be found here: https://arxiv.org/abs/1711.06104
In case of Layer DeepLift, if multiply_by_inputs is set to True, final sensitivity scores are being multiplied by layer activations for inputs  layer activations for baselines. This flag applies only if custom_attribution_func is set to None.

attribute
(inputs: Union[Tensor, Tuple[Tensor, …]], baselines: BaselineType = None, target: TargetType = None, additional_forward_args: Any = None, return_convergence_delta: Literal[False] = False, attribute_to_layer_input: bool = False, custom_attribution_func: Union[None, Callable[…, Tuple[Tensor, …]]] = None) → Union[Tensor, Tuple[Tensor, …]][source]¶ 
attribute
(inputs: Union[Tensor, Tuple[Tensor, …]], baselines: BaselineType = None, target: TargetType = None, additional_forward_args: Any = None, *, return_convergence_delta: Literal[True], attribute_to_layer_input: bool = 'False', custom_attribution_func: Union[None, Callable[…, Tuple[Tensor, …]]] = 'None') → Tuple[Union[Tensor, Tuple[Tensor, …]], Tensor]  Parameters
inputs (tensor or tuple of tensors) – Input for which layer attributions are computed. If forward_func takes a single tensor as input, a single input tensor should be provided. If forward_func takes multiple tensors as input, a tuple of the input tensors should be provided. It is assumed that for all given input tensors, dimension 0 corresponds to the number of examples (aka batch size), and if multiple input tensors are provided, the examples must be aligned appropriately.
baselines (scalar, tensor, tuple of scalars or tensors, optional) –
Baselines define reference samples that are compared with the inputs. In order to assign attribution scores DeepLift computes the differences between the inputs/outputs and corresponding references. Baselines can be provided as:
a single tensor, if inputs is a single tensor, with exactly the same dimensions as inputs or the first dimension is one and the remaining dimensions match with inputs.
a single scalar, if inputs is a single tensor, which will be broadcasted for each input value in input tensor.
a tuple of tensors or scalars, the baseline corresponding to each tensor in the inputs’ tuple can be:
either a tensor with matching dimensions to corresponding tensor in the inputs’ tuple or the first dimension is one and the remaining dimensions match with the corresponding input tensor.
or a scalar, corresponding to a tensor in the inputs’ tuple. This scalar value is broadcasted for corresponding input tensor.
In the cases when baselines is not provided, we internally use zero scalar corresponding to each input tensor.
Default: None
target (int, tuple, tensor or list, optional) –
Output indices for which gradients are computed (for classification cases, this is usually the target class). If the network returns a scalar value per example, no target index is necessary. For general 2D outputs, targets can be either:
a single integer or a tensor containing a single integer, which is applied to all input examples
a list of integers or a 1D tensor, with length matching the number of examples in inputs (dim 0). Each integer is applied as the target for the corresponding example.
For outputs with > 2 dimensions, targets can be either:
A single tuple, which contains #output_dims  1 elements. This target index is applied to all examples.
A list of tuples with length equal to the number of examples in inputs (dim 0), and each tuple containing #output_dims  1 elements. Each tuple is applied as the target for the corresponding example.
Default: None
additional_forward_args (any, optional) – If the forward function requires additional arguments other than the inputs for which attributions should not be computed, this argument can be provided. It must be either a single additional argument of a Tensor or arbitrary (nontuple) type or a tuple containing multiple additional arguments including tensors or any arbitrary python types. These arguments are provided to forward_func in order, following the arguments in inputs. Note that attributions are not computed with respect to these arguments. Default: None
return_convergence_delta (bool, optional) – Indicates whether to return convergence delta or not. If return_convergence_delta is set to True convergence delta will be returned in a tuple following attributions. Default: False
attribute_to_layer_input (bool, optional) – Indicates whether to compute the attribution with respect to the layer input or output. If attribute_to_layer_input is set to True then the attributions will be computed with respect to layer input, otherwise it will be computed with respect to layer output. Note that currently it is assumed that either the input or the output of internal layer, depending on whether we attribute to the input or output, is a single tensor. Support for multiple tensors will be added later. Default: False
custom_attribution_func (callable, optional) –
A custom function for computing final attribution scores. This function can take at least one and at most three arguments with the following signature:
custom_attribution_func(multipliers)
custom_attribution_func(multipliers, inputs)
custom_attribution_func(multipliers, inputs, baselines)
In case this function is not provided, we use the default logic defined as: multipliers * (inputs  baselines) It is assumed that all input arguments, multipliers, inputs and baselines are provided in tuples of same length. custom_attribution_func returns a tuple of attribution tensors that have the same length as the inputs. Default: None
 Returns
 attributions (tensor or tuple of tensors):
Attribution score computed based on DeepLift’s rescale rule with respect to layer’s inputs or outputs. Attributions will always be the same size as the provided layer’s inputs or outputs, depending on whether we attribute to the inputs or outputs of the layer. If the layer input / output is a single tensor, then just a tensor is returned; if the layer input / output has multiple tensors, then a corresponding tuple of tensors is returned.
 delta (tensor, returned if return_convergence_delta=True):
This is computed using the property that the total sum of forward_func(inputs)  forward_func(baselines) must equal the total sum of the attributions computed based on DeepLift’s rescale rule. Delta is calculated per example, meaning that the number of elements in returned delta tensor is equal to the number of of examples in input. Note that the logic described for deltas is guaranteed when the default logic for attribution computations is used, meaning that the custom_attribution_func=None, otherwise it is not guaranteed and depends on the specifics of the custom_attribution_func.
 Return type
attributions or 2element tuple of attributions, delta
Examples:
>>> # ImageClassifier takes a single input tensor of images Nx3x32x32, >>> # and returns an Nx10 tensor of class probabilities. >>> net = ImageClassifier() >>> # creates an instance of LayerDeepLift to interpret target >>> # class 1 with respect to conv4 layer. >>> dl = LayerDeepLift(net, net.conv4) >>> input = torch.randn(1, 3, 32, 32, requires_grad=True) >>> # Computes deeplift attribution scores for conv4 layer and class 3. >>> attribution = dl.attribute(input, target=1)
Layer DeepLiftShap¶

class
captum.attr.
LayerDeepLiftShap
(model, layer, multiply_by_inputs=True)[source]¶ Extends LayerDeepLift and DeepLiftShap algorithms and approximates SHAP values for given input layer. For each input sample  baseline pair it computes DeepLift attributions with respect to inputs or outputs of given layer averages resulting attributions across baselines. Whether to compute the attributions with respect to the inputs or outputs of the layer is defined by the input flag attribute_to_layer_input. More details about the algorithm can be found here:
http://papers.nips.cc/paper/7062aunifiedapproachtointerpretingmodelpredictions.pdf
 Note that the explanation model:
Assumes that input features are independent of one another
 Is linear, meaning that the explanations are modeled through
the additive composition of feature effects.
Although, it assumes a linear model for each explanation, the overall model across multiple explanations can be complex and nonlinear.
 Parameters
model (torch.nn.Module) – The reference to PyTorch model instance.
layer (torch.nn.Module) – Layer for which attributions are computed. The size and dimensionality of the attributions corresponds to the size and dimensionality of the layer’s input or output depending on whether we attribute to the inputs or outputs of the layer.
multiply_by_inputs (bool, optional) –
Indicates whether to factor model inputs’ multiplier in the final attribution scores. In the literature this is also known as local vs global attribution. If inputs’ multiplier isn’t factored in then that type of attribution method is also called local attribution. If it is, then that type of attribution method is called global. More detailed can be found here: https://arxiv.org/abs/1711.06104
In case of LayerDeepLiftShap, if multiply_by_inputs is set to True, final sensitivity scores are being multiplied by layer activations for inputs  layer activations for baselines This flag applies only if custom_attribution_func is set to None.

attribute
(inputs: Union[Tensor, Tuple[Tensor, …]], baselines: Union[Tensor, Tuple[Tensor, …], Callable[…, Union[Tensor, Tuple[Tensor, …]]]], target: TargetType = None, additional_forward_args: Any = None, return_convergence_delta: Literal[False] = False, attribute_to_layer_input: bool = False, custom_attribution_func: Union[None, Callable[…, Tuple[Tensor, …]]] = None) → Union[Tensor, Tuple[Tensor, …]][source]¶ 
attribute
(inputs: Union[Tensor, Tuple[Tensor, …]], baselines: Union[Tensor, Tuple[Tensor, …], Callable[…, Union[Tensor, Tuple[Tensor, …]]]], target: TargetType = None, additional_forward_args: Any = None, *, return_convergence_delta: Literal[True], attribute_to_layer_input: bool = 'False', custom_attribution_func: Union[None, Callable[…, Tuple[Tensor, …]]] = 'None') → Tuple[Union[Tensor, Tuple[Tensor, …]], Tensor]  Parameters
inputs (tensor or tuple of tensors) – Input for which layer attributions are computed. If forward_func takes a single tensor as input, a single input tensor should be provided. If forward_func takes multiple tensors as input, a tuple of the input tensors should be provided. It is assumed that for all given input tensors, dimension 0 corresponds to the number of examples (aka batch size), and if multiple input tensors are provided, the examples must be aligned appropriately.
baselines (tensor, tuple of tensors, callable) –
Baselines define reference samples that are compared with the inputs. In order to assign attribution scores DeepLift computes the differences between the inputs/outputs and corresponding references. Baselines can be provided as:
a single tensor, if inputs is a single tensor, with the first dimension equal to the number of examples in the baselines’ distribution. The remaining dimensions must match with input tensor’s dimension starting from the second dimension.
a tuple of tensors, if inputs is a tuple of tensors, with the first dimension of any tensor inside the tuple equal to the number of examples in the baseline’s distribution. The remaining dimensions must match the dimensions of the corresponding input tensor starting from the second dimension.
callable function, optionally takes inputs as an argument and either returns a single tensor or a tuple of those.
It is recommended that the number of samples in the baselines’ tensors is larger than one.
target (int, tuple, tensor or list, optional) –
Output indices for which gradients are computed (for classification cases, this is usually the target class). If the network returns a scalar value per example, no target index is necessary. For general 2D outputs, targets can be either:
a single integer or a tensor containing a single integer, which is applied to all input examples
a list of integers or a 1D tensor, with length matching the number of examples in inputs (dim 0). Each integer is applied as the target for the corresponding example.
For outputs with > 2 dimensions, targets can be either:
A single tuple, which contains #output_dims  1 elements. This target index is applied to all examples.
A list of tuples with length equal to the number of examples in inputs (dim 0), and each tuple containing #output_dims  1 elements. Each tuple is applied as the target for the corresponding example.
Default: None
additional_forward_args (any, optional) – If the forward function requires additional arguments other than the inputs for which attributions should not be computed, this argument can be provided. It must be either a single additional argument of a Tensor or arbitrary (nontuple) type or a tuple containing multiple additional arguments including tensors or any arbitrary python types. These arguments are provided to forward_func in order, following the arguments in inputs. Note that attributions are not computed with respect to these arguments. Default: None
return_convergence_delta (bool, optional) – Indicates whether to return convergence delta or not. If return_convergence_delta is set to True convergence delta will be returned in a tuple following attributions. Default: False
attribute_to_layer_input (bool, optional) – Indicates whether to compute the attributions with respect to the layer input or output. If attribute_to_layer_input is set to True then the attributions will be computed with respect to layer inputs, otherwise it will be computed with respect to layer outputs. Note that currently it assumes that both the inputs and outputs of internal layers are single tensors. Support for multiple tensors will be added later. Default: False
custom_attribution_func (callable, optional) –
A custom function for computing final attribution scores. This function can take at least one and at most three arguments with the following signature:
custom_attribution_func(multipliers)
custom_attribution_func(multipliers, inputs)
custom_attribution_func(multipliers, inputs, baselines)
In case this function is not provided, we use the default logic defined as: multipliers * (inputs  baselines) It is assumed that all input arguments, multipliers, inputs and baselines are provided in tuples of same length. custom_attribution_func returns a tuple of attribution tensors that have the same length as the inputs. Default: None
 Returns
 attributions (tensor or tuple of tensors):
Attribution score computed based on DeepLift’s rescale rule with respect to layer’s inputs or outputs. Attributions will always be the same size as the provided layer’s inputs or outputs, depending on whether we attribute to the inputs or outputs of the layer. Attributions are returned in a tuple based on whether the layer inputs / outputs are contained in a tuple from a forward hook. For standard modules, inputs of a single tensor are usually wrapped in a tuple, while outputs of a single tensor are not.
 delta (tensor, returned if return_convergence_delta=True):
This is computed using the property that the total sum of forward_func(inputs)  forward_func(baselines) must be very close to the total sum of attributions computed based on approximated SHAP values using DeepLift’s rescale rule. Delta is calculated for each example input and baseline pair, meaning that the number of elements in returned delta tensor is equal to the number of examples in input * number of examples in baseline. The deltas are ordered in the first place by input example, followed by the baseline. Note that the logic described for deltas is guaranteed when the default logic for attribution computations is used, meaning that the custom_attribution_func=None, otherwise it is not guaranteed and depends on the specifics of the custom_attribution_func.
 Return type
attributions or 2element tuple of attributions, delta
Examples:
>>> # ImageClassifier takes a single input tensor of images Nx3x32x32, >>> # and returns an Nx10 tensor of class probabilities. >>> net = ImageClassifier() >>> # creates an instance of LayerDeepLift to interpret target >>> # class 1 with respect to conv4 layer. >>> dl = LayerDeepLiftShap(net, net.conv4) >>> input = torch.randn(2, 3, 32, 32, requires_grad=True) >>> # Computes shap values using deeplift for class 3. >>> attribution = dl.attribute(input, target=3)
Layer GradientShap¶

class
captum.attr.
LayerGradientShap
(forward_func, layer, device_ids=None, multiply_by_inputs=True)[source]¶ Implements gradient SHAP for layer based on the implementation from SHAP’s primary author. For reference, please, view:
https://github.com/slundberg/shap#deeplearningexamplewithgradientexplainertensorflowkeraspytorchmodels
A Unified Approach to Interpreting Model Predictions http://papers.nips.cc/paper7062aunifiedapproachtointerpretingmodelpredictions
GradientShap approximates SHAP values by computing the expectations of gradients by randomly sampling from the distribution of baselines/references. It adds white noise to each input sample n_samples times, selects a random baseline from baselines’ distribution and a random point along the path between the baseline and the input, and computes the gradient of outputs with respect to selected random points in chosen layer. The final SHAP values represent the expected values of gradients * (layer_attr_inputs  layer_attr_baselines).
GradientShap makes an assumption that the input features are independent and that the explanation model is linear, meaning that the explanations are modeled through the additive composition of feature effects. Under those assumptions, SHAP value can be approximated as the expectation of gradients that are computed for randomly generated n_samples input samples after adding gaussian noise n_samples times to each input for different baselines/references.
In some sense it can be viewed as an approximation of integrated gradients by computing the expectations of gradients for different baselines.
Current implementation uses Smoothgrad from NoiseTunnel in order to randomly draw samples from the distribution of baselines, add noise to input samples and compute the expectation (smoothgrad).
 Parameters
forward_func (callable) – The forward function of the model or any modification of it
layer (torch.nn.Module) – Layer for which attributions are computed. Output size of attribute matches this layer’s input or output dimensions, depending on whether we attribute to the inputs or outputs of the layer, corresponding to attribution of each neuron in the input or output of this layer.
device_ids (list(int)) – Device ID list, necessary only if forward_func applies a DataParallel model. This allows reconstruction of intermediate outputs from batched results across devices. If forward_func is given as the DataParallel model itself, then it is not necessary to provide this argument.
multiply_by_inputs (bool, optional) –
Indicates whether to factor model inputs’ multiplier in the final attribution scores. In the literature this is also known as local vs global attribution. If inputs’ multiplier isn’t factored in, then this type of attribution method is also called local attribution. If it is, then that type of attribution method is called global. More detailed can be found here: https://arxiv.org/abs/1711.06104
In case of layer gradient shap, if multiply_by_inputs is set to True, the sensitivity scores for scaled inputs are being multiplied by layer activations for inputs  layer activations for baselines.

attribute
(inputs: TensorOrTupleOfTensorsGeneric, baselines: Union[TensorOrTupleOfTensorsGeneric, Callable], n_samples: int = 5, stdevs: Union[float, Tuple[float, …]] = 0.0, target: TargetType = None, additional_forward_args: Any = None, *, return_convergence_delta: Literal[True], attribute_to_layer_input: bool = 'False') → Tuple[Union[Tensor, Tuple[Tensor, …]], Tensor][source]¶ 
attribute
(inputs: TensorOrTupleOfTensorsGeneric, baselines: Union[TensorOrTupleOfTensorsGeneric, Callable], n_samples: int = 5, stdevs: Union[float, Tuple[float, …]] = 0.0, target: TargetType = None, additional_forward_args: Any = None, return_convergence_delta: Literal[False] = False, attribute_to_layer_input: bool = False) → Union[Tensor, Tuple[Tensor, …]]  Parameters
inputs (tensor or tuple of tensors) – Input which are used to compute SHAP attribution values for a given layer. If forward_func takes a single tensor as input, a single input tensor should be provided. If forward_func takes multiple tensors as input, a tuple of the input tensors should be provided. It is assumed that for all given input tensors, dimension 0 corresponds to the number of examples, and if multiple input tensors are provided, the examples must be aligned appropriately.
baselines (tensor, tuple of tensors, callable) –
Baselines define the starting point from which expectation is computed and can be provided as:
a single tensor, if inputs is a single tensor, with the first dimension equal to the number of examples in the baselines’ distribution. The remaining dimensions must match with input tensor’s dimension starting from the second dimension.
a tuple of tensors, if inputs is a tuple of tensors, with the first dimension of any tensor inside the tuple equal to the number of examples in the baseline’s distribution. The remaining dimensions must match the dimensions of the corresponding input tensor starting from the second dimension.
callable function, optionally takes inputs as an argument and either returns a single tensor or a tuple of those.
It is recommended that the number of samples in the baselines’ tensors is larger than one.
n_samples (int, optional) – The number of randomly generated examples per sample in the input batch. Random examples are generated by adding gaussian random noise to each sample. Default: 5 if n_samples is not provided.
stdevs (float, or a tuple of floats optional) – The standard deviation of gaussian noise with zero mean that is added to each input in the batch. If stdevs is a single float value then that same value is used for all inputs. If it is a tuple, then it must have the same length as the inputs tuple. In this case, each stdev value in the stdevs tuple corresponds to the input with the same index in the inputs tuple. Default: 0.0
target (int, tuple, tensor or list, optional) –
Output indices for which gradients are computed (for classification cases, this is usually the target class). If the network returns a scalar value per example, no target index is necessary. For general 2D outputs, targets can be either:
a single integer or a tensor containing a single integer, which is applied to all input examples
a list of integers or a 1D tensor, with length matching the number of examples in inputs (dim 0). Each integer is applied as the target for the corresponding example.
For outputs with > 2 dimensions, targets can be either:
A single tuple, which contains #output_dims  1 elements. This target index is applied to all examples.
A list of tuples with length equal to the number of examples in inputs (dim 0), and each tuple containing #output_dims  1 elements. Each tuple is applied as the target for the corresponding example.
Default: None
additional_forward_args (any, optional) – If the forward function requires additional arguments other than the inputs for which attributions should not be computed, this argument can be provided. It can contain a tuple of ND tensors or any arbitrary python type of any shape. In case of the ND tensor the first dimension of the tensor must correspond to the batch size. It will be repeated for each n_steps for each randomly generated input sample. Note that the attributions are not computed with respect to these arguments. Default: None
return_convergence_delta (bool, optional) – Indicates whether to return convergence delta or not. If return_convergence_delta is set to True convergence delta will be returned in a tuple following attributions. Default: False
attribute_to_layer_input (bool, optional) – Indicates whether to compute the attribution with respect to the layer input or output. If attribute_to_layer_input is set to True then the attributions will be computed with respect to layer input, otherwise it will be computed with respect to layer output. Note that currently it is assumed that either the input or the output of internal layer, depending on whether we attribute to the input or output, is a single tensor. Support for multiple tensors will be added later. Default: False
 Returns
 attributions (tensor or tuple of tensors):
Attribution score computed based on GradientSHAP with respect to layer’s input or output. Attributions will always be the same size as the provided layer’s inputs or outputs, depending on whether we attribute to the inputs or outputs of the layer. Attributions are returned in a tuple if the layer inputs / outputs contain multiple tensors, otherwise a single tensor is returned.
 delta (tensor, returned if return_convergence_delta=True):
This is computed using the property that the total sum of forward_func(inputs)  forward_func(baselines) must be very close to the total sum of the attributions based on layer gradient SHAP. Delta is calculated for each example in the input after adding n_samples times gaussian noise to each of them. Therefore, the dimensionality of the deltas tensor is equal to the number of examples in the input * n_samples The deltas are ordered by each input example and n_samples noisy samples generated for it.
Examples:
>>> # ImageClassifier takes a single input tensor of images Nx3x32x32, >>> # and returns an Nx10 tensor of class probabilities. >>> net = ImageClassifier() >>> layer_grad_shap = LayerGradientShap(net, net.linear1) >>> input = torch.randn(3, 3, 32, 32, requires_grad=True) >>> # choosing baselines randomly >>> baselines = torch.randn(20, 3, 32, 32) >>> # Computes gradient SHAP of output layer when target is equal >>> # to 0 with respect to the layer linear1. >>> # Attribution size matches to the size of the linear1 layer >>> attribution = layer_grad_shap.attribute(input, baselines, target=5)
 Return type
attributions or 2element tuple of attributions, delta

has_convergence_delta
()[source]¶ This method informs the user whether the attribution algorithm provides a convergence delta (aka an approximation error) or not. Convergence delta may serve as a proxy of correctness of attribution algorithm’s approximation. If deriving attribution class provides a compute_convergence_delta method, it should override both compute_convergence_delta and has_convergence_delta methods.
 Returns
Returns whether the attribution algorithm provides a convergence delta (aka approximation error) or not.
 Return type
Layer Integrated Gradients¶

class
captum.attr.
LayerIntegratedGradients
(forward_func, layer, device_ids=None, multiply_by_inputs=True)[source]¶ Layer Integrated Gradients is a variant of Integrated Gradients that assigns an importance score to layer inputs or outputs, depending on whether we attribute to the former or to the latter one.
Integrated Gradients is an axiomatic model interpretability algorithm that attributes / assigns an importance score to each input feature by approximating the integral of gradients of the model’s output with respect to the inputs along the path (straight line) from given baselines / references to inputs.
Baselines can be provided as input arguments to attribute method. To approximate the integral we can choose to use either a variant of Riemann sum or GaussLegendre quadrature rule.
More details regarding the integrated gradients method can be found in the original paper: https://arxiv.org/abs/1703.01365
 Parameters
forward_func (callable) – The forward function of the model or any modification of it
layer (ModuleOrModuleList) –
Layer or list of layers for which attributions are computed. For each layer the output size of the attribute matches this layer’s input or output dimensions, depending on whether we attribute to the inputs or outputs of the layer, corresponding to the attribution of each neuron in the input or output of this layer.
Please note that layers to attribute on cannot be dependent on each other. That is, a subset of layers in layer cannot produce the inputs for another layer.
For example, if your model is of a simple linkedlist based graph structure (think nn.Sequence), e.g. x > l1 > l2 > l3 > output. If you pass in any one of those layers, you cannot pass in another due to the dependence, e.g. if you pass in l2 you cannot pass in l1 or l3.
device_ids (list(int)) – Device ID list, necessary only if forward_func applies a DataParallel model. This allows reconstruction of intermediate outputs from batched results across devices. If forward_func is given as the DataParallel model itself, then it is not necessary to provide this argument.
multiply_by_inputs (bool, optional) –
Indicates whether to factor model inputs’ multiplier in the final attribution scores. In the literature this is also known as local vs global attribution. If inputs’ multiplier isn’t factored in, then this type of attribution method is also called local attribution. If it is, then that type of attribution method is called global. More detailed can be found here: https://arxiv.org/abs/1711.06104
In case of layer integrated gradients, if multiply_by_inputs is set to True, final sensitivity scores are being multiplied by layer activations for inputs  layer activations for baselines.

attribute
(inputs: Union[Tensor, Tuple[Tensor, …]], baselines: BaselineType, target: TargetType, additional_forward_args: Any, n_steps: int, method: str, internal_batch_size: Union[None, int], return_convergence_delta: Literal[False], attribute_to_layer_input: bool) → Union[Tensor, Tuple[Tensor, …], List[Union[Tensor, Tuple[Tensor, …]]]][source]¶ 
attribute
(inputs: Union[Tensor, Tuple[Tensor, …]], baselines: BaselineType, target: TargetType, additional_forward_args: Any, n_steps: int, method: str, internal_batch_size: Union[None, int], return_convergence_delta: Literal[True], attribute_to_layer_input: bool) → Tuple[Union[Tensor, Tuple[Tensor, …], List[Union[Tensor, Tuple[Tensor, …]]]], Tensor] 
attribute
(inputs: Union[Tensor, Tuple[Tensor, …]], baselines: BaselineType = None, target: TargetType = None, additional_forward_args: Any = None, n_steps: int = 50, method: str = 'gausslegendre', internal_batch_size: Union[None, int] = None, return_convergence_delta: bool = False, attribute_to_layer_input: bool = False) → Union[Union[Tensor, Tuple[Tensor, …], List[Union[Tensor, Tuple[Tensor, …]]]], Tuple[Union[Tensor, Tuple[Tensor, …], List[Union[Tensor, Tuple[Tensor, …]]]], Tensor]] This method attributes the output of the model with given target index (in case it is provided, otherwise it assumes that output is a scalar) to layer inputs or outputs of the model, depending on whether attribute_to_layer_input is set to True or False, using the approach described above.
In addition to that it also returns, if return_convergence_delta is set to True, integral approximation delta based on the completeness property of integrated gradients.
 Parameters
inputs (tensor or tuple of tensors) – Input for which layer integrated gradients are computed. If forward_func takes a single tensor as input, a single input tensor should be provided. If forward_func takes multiple tensors as input, a tuple of the input tensors should be provided. It is assumed that for all given input tensors, dimension 0 corresponds to the number of examples, and if multiple input tensors are provided, the examples must be aligned appropriately.
baselines (scalar, tensor, tuple of scalars or tensors, optional) –
Baselines define the starting point from which integral is computed and can be provided as:
a single tensor, if inputs is a single tensor, with exactly the same dimensions as inputs or the first dimension is one and the remaining dimensions match with inputs.
a single scalar, if inputs is a single tensor, which will be broadcasted for each input value in input tensor.
a tuple of tensors or scalars, the baseline corresponding to each tensor in the inputs’ tuple can be:
either a tensor with matching dimensions to corresponding tensor in the inputs’ tuple or the first dimension is one and the remaining dimensions match with the corresponding input tensor.
or a scalar, corresponding to a tensor in the inputs’ tuple. This scalar value is broadcasted for corresponding input tensor.
In the cases when baselines is not provided, we internally use zero scalar corresponding to each input tensor.
Default: None
target (int, tuple, tensor or list, optional) –
Output indices for which gradients are computed (for classification cases, this is usually the target class). If the network returns a scalar value per example, no target index is necessary. For general 2D outputs, targets can be either:
a single integer or a tensor containing a single integer, which is applied to all input examples
a list of integers or a 1D tensor, with length matching the number of examples in inputs (dim 0). Each integer is applied as the target for the corresponding example.
For outputs with > 2 dimensions, targets can be either:
A single tuple, which contains #output_dims  1 elements. This target index is applied to all examples.
A list of tuples with length equal to the number of examples in inputs (dim 0), and each tuple containing #output_dims  1 elements. Each tuple is applied as the target for the corresponding example.
Default: None
additional_forward_args (any, optional) – If the forward function requires additional arguments other than the inputs for which attributions should not be computed, this argument can be provided. It must be either a single additional argument of a Tensor or arbitrary (nontuple) type or a tuple containing multiple additional arguments including tensors or any arbitrary python types. These arguments are provided to forward_func in order following the arguments in inputs. For a tensor, the first dimension of the tensor must correspond to the number of examples. It will be repeated for each of n_steps along the integrated path. For all other types, the given argument is used for all forward evaluations. Note that attributions are not computed with respect to these arguments. Default: None
n_steps (int, optional) – The number of steps used by the approximation method. Default: 50.
method (string, optional) – Method for approximating the integral, one of riemann_right, riemann_left, riemann_middle, riemann_trapezoid or gausslegendre. Default: gausslegendre if no method is provided.
internal_batch_size (int, optional) – Divides total #steps * #examples data points into chunks of size at most internal_batch_size, which are computed (forward / backward passes) sequentially. internal_batch_size must be at least equal to #examples. For DataParallel models, each batch is split among the available devices, so evaluations on each available device contain internal_batch_size / num_devices examples. If internal_batch_size is None, then all evaluations are processed in one batch. Default: None
return_convergence_delta (bool, optional) – Indicates whether to return convergence delta or not. If return_convergence_delta is set to True convergence delta will be returned in a tuple following attributions. Default: False
attribute_to_layer_input (bool, optional) – Indicates whether to compute the attribution with respect to the layer input or output. If attribute_to_layer_input is set to True then the attributions will be computed with respect to layer input, otherwise it will be computed with respect to layer output. Note that currently it is assumed that either the input or the output of internal layer, depending on whether we attribute to the input or output, is a single tensor. Support for multiple tensors will be added later. Default: False
Returns –
attributions or 2element tuple of attributions, delta:  attributions (tensor, tuple of tensors or tuple of tensors):
Integrated gradients with respect to layer’s inputs or outputs. Attributions will always be the same size and dimensionality as the input or output of the given layer, depending on whether we attribute to the inputs or outputs of the layer which is decided by the input flag attribute_to_layer_input.
For a single layer, attributions are returned in a tuple if the layer inputs / outputs contain multiple tensors, otherwise a single tensor is returned.
For multiple layers, attributions will always be returned as a list. Each element in this list will be equivalent to that of a single layer output, i.e. in the case that one layer, in the given layers, inputs / outputs multiple tensors: the corresponding output element will be a tuple of tensors. The ordering of the outputs will be the same order as the layers given in the constructor.
 delta (tensor, returned if return_convergence_delta=True):
The difference between the total approximated and true integrated gradients. This is computed using the property that the total sum of forward_func(inputs)  forward_func(baselines) must equal the total sum of the integrated gradient. Delta is calculated per example, meaning that the number of elements in returned delta tensor is equal to the number of of examples in inputs.
Examples:: –
>>> # ImageClassifier takes a single input tensor of images Nx3x32x32, >>> # and returns an Nx10 tensor of class probabilities. >>> # It contains an attribute conv1, which is an instance of nn.conv2d, >>> # and the output of this layer has dimensions Nx12x32x32. >>> net = ImageClassifier() >>> lig = LayerIntegratedGradients(net, net.conv1) >>> input = torch.randn(2, 3, 32, 32, requires_grad=True) >>> # Computes layer integrated gradients for class 3. >>> # attribution size matches layer output, Nx12x32x32 >>> attribution = lig.attribute(input, target=3)
 Return type
Union
[Tensor
,Tuple
[Tensor
, …],List
[Union
[Tensor
,Tuple
[Tensor
, …]]],Tuple
[Union
[Tensor
,Tuple
[Tensor
, …],List
[Union
[Tensor
,Tuple
[Tensor
, …]]]],Tensor
]]

has_convergence_delta
()[source]¶ This method informs the user whether the attribution algorithm provides a convergence delta (aka an approximation error) or not. Convergence delta may serve as a proxy of correctness of attribution algorithm’s approximation. If deriving attribution class provides a compute_convergence_delta method, it should override both compute_convergence_delta and has_convergence_delta methods.
 Returns
Returns whether the attribution algorithm provides a convergence delta (aka approximation error) or not.
 Return type
Layer Feature Ablation¶

class
captum.attr.
LayerFeatureAblation
(forward_func, layer, device_ids=None)[source]¶ A perturbation based approach to computing layer attribution, involving replacing values in the input / output of a layer with a given baseline / reference, and computing the difference in output. By default, each neuron (scalar input / output value) within the layer is replaced independently. Passing a layer mask allows grouping neurons to be ablated together. Each neuron in the group will be given the same attribution value equal to the change in target as a result of ablating the entire neuron group.
 Parameters
forward_func (callable) – The forward function of the model or any modification of it
layer (torch.nn.Module) – Layer for which attributions are computed. Output size of attribute matches this layer’s input or output dimensions, depending on whether we attribute to the inputs or outputs of the layer, corresponding to attribution of each neuron in the input or output of this layer.
device_ids (list(int)) – Device ID list, necessary only if forward_func applies a DataParallel model. This allows reconstruction of intermediate outputs from batched results across devices. If forward_func is given as the DataParallel model itself (or otherwise has a device_ids attribute with the device ID list), then it is not necessary to provide this argument.

attribute
(inputs, layer_baselines=None, target=None, additional_forward_args=None, layer_mask=None, attribute_to_layer_input=False, perturbations_per_eval=1)[source]¶  Parameters
inputs (tensor or tuple of tensors) – Input for which layer attributions are computed. If forward_func takes a single tensor as input, a single input tensor should be provided. If forward_func takes multiple tensors as input, a tuple of the input tensors should be provided. It is assumed that for all given input tensors, dimension 0 corresponds to the number of examples, and if multiple input tensors are provided, the examples must be aligned appropriately.
layer_baselines (scalar, tensor, tuple of scalars or tensors, optional) – Layer baselines define reference values which replace each layer input / output value when ablated. Layer baselines should be a single tensor with dimensions matching the input / output of the target layer (or broadcastable to match it), based on whether we are attributing to the input or output of the target layer. In the cases when baselines is not provided, we internally use zero as the baseline for each neuron. Default: None
target (int, tuple, tensor or list, optional) –
Output indices for which gradients are computed (for classification cases, this is usually the target class). If the network returns a scalar value per example, no target index is necessary. For general 2D outputs, targets can be either:
a single integer or a tensor containing a single integer, which is applied to all input examples
a list of integers or a 1D tensor, with length matching the number of examples in inputs (dim 0). Each integer is applied as the target for the corresponding example.
For outputs with > 2 dimensions, targets can be either:
A single tuple, which contains #output_dims  1 elements. This target index is applied to all examples.
A list of tuples with length equal to the number of examples in inputs (dim 0), and each tuple containing #output_dims  1 elements. Each tuple is applied as the target for the corresponding example.
Default: None
additional_forward_args (any, optional) – If the forward function requires additional arguments other than the inputs for which attributions should not be computed, this argument can be provided. It must be either a single additional argument of a Tensor or arbitrary (nontuple) type or a tuple containing multiple additional arguments including tensors or any arbitrary python types. These arguments are provided to forward_func in order following the arguments in inputs. Note that attributions are not computed with respect to these arguments. Default: None
layer_mask (tensor or tuple of tensors, optional) – layer_mask defines a mask for the layer, grouping elements of the layer input / output which should be ablated together. layer_mask should be a single tensor with dimensions matching the input / output of the target layer (or broadcastable to match it), based on whether we are attributing to the input or output of the target layer. layer_mask should contain integers in the range 0 to num_groups  1, and all elements with the same value are considered to be in the same group. If None, then a layer mask is constructed which assigns each neuron within the layer as a separate group, which is ablated independently. Default: None
attribute_to_layer_input (bool, optional) – Indicates whether to compute the attributions with respect to the layer input or output. If attribute_to_layer_input is set to True then the attributions will be computed with respect to layer’s inputs, otherwise it will be computed with respect to layer’s outputs. Note that currently it is assumed that either the input or the output of the layer, depending on whether we attribute to the input or output, is a single tensor. Support for multiple tensors will be added later. Default: False
perturbations_per_eval (int, optional) – Allows ablation of multiple neuron (groups) to be processed simultaneously in one call to forward_fn. Each forward pass will contain a maximum of perturbations_per_eval * #examples samples. For DataParallel models, each batch is split among the available devices, so evaluations on each available device contain at most (perturbations_per_eval * #examples) / num_devices samples. Default: 1
 Returns
 attributions (tensor or tuple of tensors):
Attribution of each neuron in given layer input or output. Attributions will always be the same size as the input or output of the given layer, depending on whether we attribute to the inputs or outputs of the layer which is decided by the input flag attribute_to_layer_input Attributions are returned in a tuple if the layer inputs / outputs contain multiple tensors, otherwise a single tensor is returned.
 Return type
tensor or tuple of tensors of attributions
Examples:
>>> # SimpleClassifier takes a single input tensor of size Nx4x4, >>> # and returns an Nx3 tensor of class probabilities. >>> # It contains an attribute conv1, which is an instance of nn.conv2d, >>> # and the output of this layer has dimensions Nx12x3x3. >>> net = SimpleClassifier() >>> # Generating random input with size 2 x 4 x 4 >>> input = torch.randn(2, 4, 4) >>> # Defining LayerFeatureAblation interpreter >>> ablator = LayerFeatureAblation(net, net.conv1) >>> # Computes ablation attribution, ablating each of the 108 >>> # neurons independently. >>> attr = ablator.attribute(input, target=1)
>>> # Alternatively, we may want to ablate neurons in groups, e.g. >>> # grouping all the layer outputs in the same row. >>> # This can be done by creating a layer mask as follows, which >>> # defines the groups of layer inputs / outouts, e.g.: >>> # ++++ >>> #  0  0  0  >>> # ++++ >>> #  1  1  1  >>> # ++++ >>> #  2  2  2  >>> # ++++ >>> # With this mask, all the 36 neurons in a row / channel are ablated >>> # simultaneously, and the attribution for each neuron in the same >>> # group (0  2) per example are the same. >>> # The attributions can be calculated as follows: >>> # layer mask has dimensions 1 x 3 x 3 >>> layer_mask = torch.tensor([[[0,0,0],[1,1,1], >>> [2,2,2]]]) >>> attr = ablator.attribute(input, target=1, >>> layer_mask=layer_mask)