torch_concepts.nn.WANDAGraphLearner

class WANDAGraphLearner(row_labels: List[str], col_labels: List[str], priority_var: float = 1.0, hard_threshold: bool = True, threshold_init: float = 0.0, eps: float = 1e-12)[source]

WANDA Graph Learner for concept structure discovery. Adapted from COSMO.

WANDA learns a directed acyclic graph (DAG) structure by assigning priority values to concepts and creating edges based on priority differences. This approach ensures acyclicity by construction.

np_params

Learnable priority values for each concept.

Type:

nn.Parameter

priority_var

Variance for priority initialization.

Type:

float

threshold

Fixed threshold for edge creation (not learnable).

Type:

torch.Tensor

hard_threshold

Whether to use hard or soft thresholding.

Type:

bool

Parameters:
  • row_labels – List of concept names for graph rows.

  • col_labels – List of concept names for graph columns.

  • priority_var – Variance for priority initialization (default: 1.0).

  • hard_threshold – Use hard thresholding for edges (default: True).

  • threshold_init – Initial value for threshold (default: 0.0).

Example

>>> import torch
>>> from torch_concepts.nn import WANDAGraphLearner
>>>
>>> # Create WANDA learner for 5 concepts
>>> concepts = ['c1', 'c2', 'c3', 'c4', 'c5']
>>> wanda = WANDAGraphLearner(
...     row_labels=concepts,
...     col_labels=concepts,
...     priority_var=1.0,
...     hard_threshold=True,
...     threshold_init=0.5
... )
>>>
>>> # Get current graph estimate
>>> adj_matrix = wanda.weighted_adj
>>> print(adj_matrix.shape)
torch.Size([5, 5])

References

Massidda et al. “Constraint-Free Structure Learning with Smooth Acyclic Orientations”. https://arxiv.org/abs/2309.08406

__init__(row_labels: List[str], col_labels: List[str], priority_var: float = 1.0, hard_threshold: bool = True, threshold_init: float = 0.0, eps: float = 1e-12)[source]

Initialize the WANDA graph learner.

Parameters:
  • row_labels – List of concept names for graph rows.

  • col_labels – List of concept names for graph columns.

  • priority_var – Variance for priority initialization (default: 1.0).

  • hard_threshold – Use hard thresholding for edges (default: True).

  • threshold_init – Initial value for threshold (default: 0.0).

  • eps – Small epsilon value for numerical stability (default: 1e-12).

Methods

__init__(row_labels, col_labels[, ...])

Initialize the WANDA graph learner.

add_module(name, module)

Add a child module to the current module.

apply(fn)

Apply fn recursively to every submodule (as returned by .children()) as well as self.

bfloat16()

Casts all floating point parameters and buffers to bfloat16 datatype.

buffers([recurse])

Return an iterator over module buffers.

children()

Return an iterator over immediate children modules.

compile(*args, **kwargs)

Compile this Module's forward using torch.compile().

cpu()

Move all model parameters and buffers to the CPU.

cuda([device])

Move all model parameters and buffers to the GPU.

double()

Casts all floating point parameters and buffers to double datatype.

eval()

Set the module in evaluation mode.

extra_repr()

Return the extra representation of the module.

float()

Casts all floating point parameters and buffers to float datatype.

forward(*input)

Define the computation performed at every call.

get_buffer(target)

Return the buffer given by target if it exists, otherwise throw an error.

get_extra_state()

Return any extra state to include in the module's state_dict.

get_parameter(target)

Return the parameter given by target if it exists, otherwise throw an error.

get_submodule(target)

Return the submodule given by target if it exists, otherwise throw an error.

half()

Casts all floating point parameters and buffers to half datatype.

ipu([device])

Move all model parameters and buffers to the IPU.

load_state_dict(state_dict[, strict, assign])

Copy parameters and buffers from state_dict into this module and its descendants.

modules()

Return an iterator over all modules in the network.

mtia([device])

Move all model parameters and buffers to the MTIA.

named_buffers([prefix, recurse, ...])

Return an iterator over module buffers, yielding both the name of the buffer as well as the buffer itself.

named_children()

Return an iterator over immediate children modules, yielding both the name of the module as well as the module itself.

named_modules([memo, prefix, remove_duplicate])

Return an iterator over all modules in the network, yielding both the name of the module as well as the module itself.

named_parameters([prefix, recurse, ...])

Return an iterator over module parameters, yielding both the name of the parameter as well as the parameter itself.

parameters([recurse])

Return an iterator over module parameters.

register_backward_hook(hook)

Register a backward hook on the module.

register_buffer(name, tensor[, persistent])

Add a buffer to the module.

register_forward_hook(hook, *[, prepend, ...])

Register a forward hook on the module.

register_forward_pre_hook(hook, *[, ...])

Register a forward pre-hook on the module.

register_full_backward_hook(hook[, prepend])

Register a backward hook on the module.

register_full_backward_pre_hook(hook[, prepend])

Register a backward pre-hook on the module.

register_load_state_dict_post_hook(hook)

Register a post-hook to be run after module's load_state_dict() is called.

register_load_state_dict_pre_hook(hook)

Register a pre-hook to be run before module's load_state_dict() is called.

register_module(name, module)

Alias for add_module().

register_parameter(name, param)

Add a parameter to the module.

register_state_dict_post_hook(hook)

Register a post-hook for the state_dict() method.

register_state_dict_pre_hook(hook)

Register a pre-hook for the state_dict() method.

requires_grad_([requires_grad])

Change if autograd should record operations on parameters in this module.

set_extra_state(state)

Set extra state contained in the loaded state_dict.

set_submodule(target, module[, strict])

Set the submodule given by target if it exists, otherwise throw an error.

share_memory()

See torch.Tensor.share_memory_().

state_dict(*args[, destination, prefix, ...])

Return a dictionary containing references to the whole state of the module.

to(*args, **kwargs)

Move and/or cast the parameters and buffers.

to_empty(*, device[, recurse])

Move the parameters and buffers to the specified device without copying storage.

train([mode])

Set the module in training mode.

type(dst_type)

Casts all parameters and buffers to dst_type.

xpu([device])

Move all model parameters and buffers to the XPU.

zero_grad([set_to_none])

Reset gradients of all model parameters.

Attributes

T_destination

call_super_init

dump_patches

weighted_adj

Compute the weighted adjacency matrix from learned priorities.

training