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.. customcarditem:: | ||
:header: Mutual Information Score | ||
:image: https://pl-flash-data.s3.amazonaws.com/assets/thumbnails/clustering.svg | ||
:tags: Clustering | ||
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.. include:: ../links.rst | ||
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######################## | ||
Mutual Information Score | ||
######################## | ||
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Module Interface | ||
________________ | ||
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.. autoclass:: torchmetrics.clustering.MutualInfoScore | ||
:exclude-members: update, compute | ||
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Functional Interface | ||
____________________ | ||
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.. autofunction:: torchmetrics.functional.clustering.mutual_info_score |
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# Copyright The Lightning team. | ||
# | ||
# Licensed under the Apache License, Version 2.0 (the "License"); | ||
# you may not use this file except in compliance with the License. | ||
# You may obtain a copy of the License at | ||
# | ||
# http://www.apache.org/licenses/LICENSE-2.0 | ||
# | ||
# Unless required by applicable law or agreed to in writing, software | ||
# distributed under the License is distributed on an "AS IS" BASIS, | ||
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. | ||
# See the License for the specific language governing permissions and | ||
# limitations under the License. | ||
from torchmetrics.clustering.mutual_info_score import MutualInfoScore | ||
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__all__ = [ | ||
"MutualInfoScore", | ||
] |
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# Copyright The Lightning team. | ||
# | ||
# Licensed under the Apache License, Version 2.0 (the "License"); | ||
# you may not use this file except in compliance with the License. | ||
# You may obtain a copy of the License at | ||
# | ||
# http://www.apache.org/licenses/LICENSE-2.0 | ||
# | ||
# Unless required by applicable law or agreed to in writing, software | ||
# distributed under the License is distributed on an "AS IS" BASIS, | ||
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. | ||
# See the License for the specific language governing permissions and | ||
# limitations under the License. | ||
from typing import Any, List, Optional, Sequence, Union | ||
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from torch import Tensor | ||
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from torchmetrics.functional.clustering.mutual_info_score import mutual_info_score | ||
from torchmetrics.metric import Metric | ||
from torchmetrics.utilities.data import dim_zero_cat | ||
from torchmetrics.utilities.imports import _MATPLOTLIB_AVAILABLE | ||
from torchmetrics.utilities.plot import _AX_TYPE, _PLOT_OUT_TYPE | ||
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if not _MATPLOTLIB_AVAILABLE: | ||
__doctest_skip__ = ["MutualInfoScore.plot"] | ||
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class MutualInfoScore(Metric): | ||
r"""Compute `Mutual Information Score`_. | ||
.. math:: | ||
MI(U,V) = \sum_{i=1}^{\abs{U}} \sum_{j=1}^{\abs{V}} \frac{\abs{U_i\cap V_j}}{N} | ||
\log\frac{N\abs{U_i\cap V_j}}{\abs{U_i}\abs{V_j}} | ||
Where :math:`U` is a tensor of target values, :math:`V` is a tensor of predictions, | ||
:math:`\abs{U_i}` is the number of samples in cluster :math:`U_i`, and | ||
:math:`\abs{V_i}` is the number of samples in cluster :math:`V_i`. | ||
The metric is symmetric, therefore swapping :math:`U` and :math:`V` yields | ||
the same mutual information score. | ||
As input to ``forward`` and ``update`` the metric accepts the following input: | ||
- ``preds`` (:class:`~torch.Tensor`): either single output float tensor with shape ``(N,)`` | ||
- ``target`` (:class:`~torch.Tensor`): either single output tensor with shape ``(N,)`` | ||
As output of ``forward`` and ``compute`` the metric returns the following output: | ||
- ``mi_score`` (:class:`~torch.Tensor`): A tensor with the Mutual Information Score | ||
Args: | ||
kwargs: Additional keyword arguments, see :ref:`Metric kwargs` for more info. | ||
Example: | ||
>>> import torch | ||
>>> from torchmetrics.clustering import MutualInfoScore | ||
>>> preds = torch.tensor([2, 1, 0, 1, 0]) | ||
>>> target = torch.tensor([0, 2, 1, 1, 0]) | ||
>>> mi_score = MutualInfoScore() | ||
>>> mi_score(preds, target) | ||
tensor(0.5004) | ||
""" | ||
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is_differentiable = True | ||
higher_is_better = None | ||
full_state_update: bool = True | ||
plot_lower_bound: float = 0.0 | ||
preds: List[Tensor] | ||
target: List[Tensor] | ||
contingency: Tensor | ||
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def __init__(self, **kwargs: Any) -> None: | ||
super().__init__(**kwargs) | ||
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self.add_state("preds", default=[], dist_reduce_fx="cat") | ||
self.add_state("target", default=[], dist_reduce_fx="cat") | ||
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def update(self, preds: Tensor, target: Tensor) -> None: | ||
"""Update state with predictions and targets.""" | ||
self.preds.append(preds) | ||
self.target.append(target) | ||
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def compute(self) -> Tensor: | ||
"""Compute mutual information over state.""" | ||
return mutual_info_score(dim_zero_cat(self.preds), dim_zero_cat(self.target)) | ||
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def plot(self, val: Union[Tensor, Sequence[Tensor], None] = None, ax: Optional[_AX_TYPE] = None) -> _PLOT_OUT_TYPE: | ||
"""Plot a single or multiple values from the metric. | ||
Args: | ||
val: Either a single result from calling `metric.forward` or `metric.compute` or a list of these results. | ||
If no value is provided, will automatically call `metric.compute` and plot that result. | ||
ax: An matplotlib axis object. If provided will add plot to that axis | ||
Returns: | ||
Figure and Axes object | ||
Raises: | ||
ModuleNotFoundError: | ||
If `matplotlib` is not installed | ||
.. plot:: | ||
:scale: 75 | ||
>>> # Example plotting a single value | ||
>>> import torch | ||
>>> from torchmetrics.clustering import MutualInfoScore | ||
>>> metric = MutualInfoScore() | ||
>>> metric.update(torch.randint(0, 4, (10,)), torch.randint(0, 4, (10,))) | ||
>>> fig_, ax_ = metric.plot(metric.compute()) | ||
.. plot:: | ||
:scale: 75 | ||
>>> # Example plotting multiple values | ||
>>> import torch | ||
>>> from torchmetrics.clustering import MutualInfoScore | ||
>>> metric = MutualInfoScore() | ||
>>> for _ in range(10): | ||
... metric.update(torch.randint(0, 4, (10,)), torch.randint(0, 4, (10,))) | ||
>>> fig_, ax_ = metric.plot(metric.compute()) | ||
""" | ||
return self._plot(val, ax) |
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# Copyright The Lightning team. | ||
# | ||
# Licensed under the Apache License, Version 2.0 (the "License"); | ||
# you may not use this file except in compliance with the License. | ||
# You may obtain a copy of the License at | ||
# | ||
# http://www.apache.org/licenses/LICENSE-2.0 | ||
# | ||
# Unless required by applicable law or agreed to in writing, software | ||
# distributed under the License is distributed on an "AS IS" BASIS, | ||
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. | ||
# See the License for the specific language governing permissions and | ||
# limitations under the License. | ||
from torchmetrics.functional.clustering.mutual_info_score import mutual_info_score | ||
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__all__ = ["mutual_info_score"] |
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src/torchmetrics/functional/clustering/mutual_info_score.py
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# Copyright The Lightning team. | ||
# | ||
# Licensed under the Apache License, Version 2.0 (the "License"); | ||
# you may not use this file except in compliance with the License. | ||
# You may obtain a copy of the License at | ||
# | ||
# http://www.apache.org/licenses/LICENSE-2.0 | ||
# | ||
# Unless required by applicable law or agreed to in writing, software | ||
# distributed under the License is distributed on an "AS IS" BASIS, | ||
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. | ||
# See the License for the specific language governing permissions and | ||
# limitations under the License. | ||
import torch | ||
from torch import Tensor, tensor | ||
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from torchmetrics.functional.clustering.utils import calculate_contingency_matrix, check_cluster_labels | ||
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def _mutual_info_score_update(preds: Tensor, target: Tensor) -> Tensor: | ||
"""Update and return variables required to compute the mutual information score. | ||
Args: | ||
preds: predicted class labels | ||
target: ground truth class labels | ||
Returns: | ||
contingency: contingency matrix | ||
""" | ||
check_cluster_labels(preds, target) | ||
return calculate_contingency_matrix(preds, target) | ||
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def _mutual_info_score_compute(contingency: Tensor) -> Tensor: | ||
"""Compute the mutual information score based on the contingency matrix. | ||
Args: | ||
contingency: contingency matrix | ||
Returns: | ||
mutual_info: mutual information score | ||
""" | ||
n = contingency.sum() | ||
u = contingency.sum(dim=1) | ||
v = contingency.sum(dim=0) | ||
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# Check if preds or target labels only have one cluster | ||
if u.size() == 1 or v.size() == 1: | ||
return tensor(0.0) | ||
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# Find indices of nonzero values in U and V | ||
nzu, nzv = torch.nonzero(contingency, as_tuple=True) | ||
contingency = contingency[nzu, nzv] | ||
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# Calculate MI using entries corresponding to nonzero contingency matrix entries | ||
log_outer = torch.log(u[nzu]) + torch.log(v[nzv]) | ||
mutual_info = contingency / n * (torch.log(n) + torch.log(contingency) - log_outer) | ||
return mutual_info.sum() | ||
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def mutual_info_score(preds: Tensor, target: Tensor) -> Tensor: | ||
"""Compute mutual information between two clusterings. | ||
Args: | ||
preds: predicted classes | ||
target: ground truth classes | ||
Example: | ||
>>> from torchmetrics.functional.clustering import mutual_info_score | ||
>>> target = torch.tensor([0, 3, 2, 2, 1]) | ||
>>> preds = torch.tensor([1, 3, 2, 0, 1]) | ||
>>> mutual_info_score(preds, target) | ||
tensor(1.0549) | ||
""" | ||
contingency = _mutual_info_score_update(preds, target) | ||
return _mutual_info_score_compute(contingency) |
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