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accuracy.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.
from typing import Optional
from torch import Tensor
from typing_extensions import Literal
from torchmetrics.functional.classification.stat_scores import (
_binary_stat_scores_arg_validation,
_binary_stat_scores_format,
_binary_stat_scores_tensor_validation,
_binary_stat_scores_update,
_multiclass_stat_scores_arg_validation,
_multiclass_stat_scores_format,
_multiclass_stat_scores_tensor_validation,
_multiclass_stat_scores_update,
_multilabel_stat_scores_arg_validation,
_multilabel_stat_scores_format,
_multilabel_stat_scores_tensor_validation,
_multilabel_stat_scores_update,
)
from torchmetrics.utilities.compute import _adjust_weights_safe_divide, _safe_divide
from torchmetrics.utilities.enums import ClassificationTask
def _accuracy_reduce(
tp: Tensor,
fp: Tensor,
tn: Tensor,
fn: Tensor,
average: Optional[Literal["binary", "micro", "macro", "weighted", "none"]],
multidim_average: Literal["global", "samplewise"] = "global",
multilabel: bool = False,
) -> Tensor:
"""Reduce classification statistics into accuracy score.
Args:
tp: number of true positives
fp: number of false positives
tn: number of true negatives
fn: number of false negatives
average:
Defines the reduction that is applied over labels. Should be one of the following:
- ``binary``: for binary reduction
- ``micro``: sum score over all classes/labels
- ``macro``: salculate score for each class/label and average them
- ``weighted``: calculates score for each class/label and computes weighted average using their support
- ``"none"`` or ``None``: calculates score for each class/label and applies no reduction
multidim_average:
Defines how additionally dimensions ``...`` should be handled. Should be one of the following:
- ``global``: Additional dimensions are flatted along the batch dimension
- ``samplewise``: Statistic will be calculated independently for each sample on the ``N`` axis.
multilabel: If input is multilabel or not
Returns:
Accuracy score
"""
if average == "binary":
return _safe_divide(tp + tn, tp + tn + fp + fn)
if average == "micro":
tp = tp.sum(dim=0 if multidim_average == "global" else 1)
fn = fn.sum(dim=0 if multidim_average == "global" else 1)
if multilabel:
fp = fp.sum(dim=0 if multidim_average == "global" else 1)
tn = tn.sum(dim=0 if multidim_average == "global" else 1)
return _safe_divide(tp + tn, tp + tn + fp + fn)
return _safe_divide(tp, tp + fn)
score = _safe_divide(tp + tn, tp + tn + fp + fn) if multilabel else _safe_divide(tp, tp + fn)
return _adjust_weights_safe_divide(score, average, multilabel, tp, fp, fn)
def binary_accuracy(
preds: Tensor,
target: Tensor,
threshold: float = 0.5,
multidim_average: Literal["global", "samplewise"] = "global",
ignore_index: Optional[int] = None,
validate_args: bool = True,
) -> Tensor:
r"""Compute `Accuracy`_ for binary tasks.
.. math::
\text{Accuracy} = \frac{1}{N}\sum_i^N 1(y_i = \hat{y}_i)
Where :math:`y` is a tensor of target values, and :math:`\hat{y}` is a
tensor of predictions.
Accepts the following input tensors:
- ``preds`` (int or float tensor): ``(N, ...)``. If preds is a floating point tensor with values outside
[0,1] range we consider the input to be logits and will auto apply sigmoid per element. Additionally,
we convert to int tensor with thresholding using the value in ``threshold``.
- ``target`` (int tensor): ``(N, ...)``
Args:
preds: Tensor with predictions
target: Tensor with true labels
threshold: Threshold for transforming probability to binary {0,1} predictions
multidim_average:
Defines how additionally dimensions ``...`` should be handled. Should be one of the following:
- ``global``: Additional dimensions are flatted along the batch dimension
- ``samplewise``: Statistic will be calculated independently for each sample on the ``N`` axis.
The statistics in this case are calculated over the additional dimensions.
ignore_index:
Specifies a target value that is ignored and does not contribute to the metric calculation
validate_args: bool indicating if input arguments and tensors should be validated for correctness.
Set to ``False`` for faster computations.
Returns:
If ``multidim_average`` is set to ``global``, the metric returns a scalar value. If ``multidim_average``
is set to ``samplewise``, the metric returns ``(N,)`` vector consisting of a scalar value per sample.
Example (preds is int tensor):
>>> from torch import tensor
>>> from torchmetrics.functional.classification import binary_accuracy
>>> target = tensor([0, 1, 0, 1, 0, 1])
>>> preds = tensor([0, 0, 1, 1, 0, 1])
>>> binary_accuracy(preds, target)
tensor(0.6667)
Example (preds is float tensor):
>>> from torchmetrics.functional.classification import binary_accuracy
>>> target = tensor([0, 1, 0, 1, 0, 1])
>>> preds = tensor([0.11, 0.22, 0.84, 0.73, 0.33, 0.92])
>>> binary_accuracy(preds, target)
tensor(0.6667)
Example (multidim tensors):
>>> from torchmetrics.functional.classification import binary_accuracy
>>> target = tensor([[[0, 1], [1, 0], [0, 1]], [[1, 1], [0, 0], [1, 0]]])
>>> preds = tensor([[[0.59, 0.91], [0.91, 0.99], [0.63, 0.04]],
... [[0.38, 0.04], [0.86, 0.780], [0.45, 0.37]]])
>>> binary_accuracy(preds, target, multidim_average='samplewise')
tensor([0.3333, 0.1667])
"""
if validate_args:
_binary_stat_scores_arg_validation(threshold, multidim_average, ignore_index)
_binary_stat_scores_tensor_validation(preds, target, multidim_average, ignore_index)
preds, target = _binary_stat_scores_format(preds, target, threshold, ignore_index)
tp, fp, tn, fn = _binary_stat_scores_update(preds, target, multidim_average)
return _accuracy_reduce(tp, fp, tn, fn, average="binary", multidim_average=multidim_average)
def multiclass_accuracy(
preds: Tensor,
target: Tensor,
num_classes: int,
average: Optional[Literal["micro", "macro", "weighted", "none"]] = "macro",
top_k: int = 1,
multidim_average: Literal["global", "samplewise"] = "global",
ignore_index: Optional[int] = None,
validate_args: bool = True,
) -> Tensor:
r"""Compute `Accuracy`_ for multiclass tasks.
.. math::
\text{Accuracy} = \frac{1}{N}\sum_i^N 1(y_i = \hat{y}_i)
Where :math:`y` is a tensor of target values, and :math:`\hat{y}` is a
tensor of predictions.
Accepts the following input tensors:
- ``preds``: ``(N, ...)`` (int tensor) or ``(N, C, ..)`` (float tensor). If preds is a floating point
we apply ``torch.argmax`` along the ``C`` dimension to automatically convert probabilities/logits into
an int tensor.
- ``target`` (int tensor): ``(N, ...)``
Args:
preds: Tensor with predictions
target: Tensor with true labels
num_classes: Integer specifying the number of classes
average:
Defines the reduction that is applied over labels. Should be one of the following:
- ``micro``: Sum statistics over all labels
- ``macro``: Calculate statistics for each label and average them
- ``weighted``: calculates statistics for each label and computes weighted average using their support
- ``"none"`` or ``None``: calculates statistic for each label and applies no reduction
top_k:
Number of highest probability or logit score predictions considered to find the correct label.
Only works when ``preds`` contain probabilities/logits.
multidim_average:
Defines how additionally dimensions ``...`` should be handled. Should be one of the following:
- ``global``: Additional dimensions are flatted along the batch dimension
- ``samplewise``: Statistic will be calculated independently for each sample on the ``N`` axis.
The statistics in this case are calculated over the additional dimensions.
ignore_index:
Specifies a target value that is ignored and does not contribute to the metric calculation
validate_args: bool indicating if input arguments and tensors should be validated for correctness.
Set to ``False`` for faster computations.
Returns:
The returned shape depends on the ``average`` and ``multidim_average`` arguments:
- If ``multidim_average`` is set to ``global``:
- If ``average='micro'/'macro'/'weighted'``, the output will be a scalar tensor
- If ``average=None/'none'``, the shape will be ``(C,)``
- If ``multidim_average`` is set to ``samplewise``:
- If ``average='micro'/'macro'/'weighted'``, the shape will be ``(N,)``
- If ``average=None/'none'``, the shape will be ``(N, C)``
Example (preds is int tensor):
>>> from torch import tensor
>>> from torchmetrics.functional.classification import multiclass_accuracy
>>> target = tensor([2, 1, 0, 0])
>>> preds = tensor([2, 1, 0, 1])
>>> multiclass_accuracy(preds, target, num_classes=3)
tensor(0.8333)
>>> multiclass_accuracy(preds, target, num_classes=3, average=None)
tensor([0.5000, 1.0000, 1.0000])
Example (preds is float tensor):
>>> from torchmetrics.functional.classification import multiclass_accuracy
>>> target = tensor([2, 1, 0, 0])
>>> preds = tensor([[0.16, 0.26, 0.58],
... [0.22, 0.61, 0.17],
... [0.71, 0.09, 0.20],
... [0.05, 0.82, 0.13]])
>>> multiclass_accuracy(preds, target, num_classes=3)
tensor(0.8333)
>>> multiclass_accuracy(preds, target, num_classes=3, average=None)
tensor([0.5000, 1.0000, 1.0000])
Example (multidim tensors):
>>> from torchmetrics.functional.classification import multiclass_accuracy
>>> target = tensor([[[0, 1], [2, 1], [0, 2]], [[1, 1], [2, 0], [1, 2]]])
>>> preds = tensor([[[0, 2], [2, 0], [0, 1]], [[2, 2], [2, 1], [1, 0]]])
>>> multiclass_accuracy(preds, target, num_classes=3, multidim_average='samplewise')
tensor([0.5000, 0.2778])
>>> multiclass_accuracy(preds, target, num_classes=3, multidim_average='samplewise', average=None)
tensor([[1.0000, 0.0000, 0.5000],
[0.0000, 0.3333, 0.5000]])
"""
if validate_args:
_multiclass_stat_scores_arg_validation(num_classes, top_k, average, multidim_average, ignore_index)
_multiclass_stat_scores_tensor_validation(preds, target, num_classes, multidim_average, ignore_index)
preds, target = _multiclass_stat_scores_format(preds, target, top_k)
tp, fp, tn, fn = _multiclass_stat_scores_update(
preds, target, num_classes, top_k, average, multidim_average, ignore_index
)
return _accuracy_reduce(tp, fp, tn, fn, average=average, multidim_average=multidim_average)
def multilabel_accuracy(
preds: Tensor,
target: Tensor,
num_labels: int,
threshold: float = 0.5,
average: Optional[Literal["micro", "macro", "weighted", "none"]] = "macro",
multidim_average: Literal["global", "samplewise"] = "global",
ignore_index: Optional[int] = None,
validate_args: bool = True,
) -> Tensor:
r"""Compute `Accuracy`_ for multilabel tasks.
.. math::
\text{Accuracy} = \frac{1}{N}\sum_i^N 1(y_i = \hat{y}_i)
Where :math:`y` is a tensor of target values, and :math:`\hat{y}` is a
tensor of predictions.
Accepts the following input tensors:
- ``preds`` (int or float tensor): ``(N, C, ...)``. If preds is a floating point tensor with values outside
[0,1] range we consider the input to be logits and will auto apply sigmoid per element. Additionally,
we convert to int tensor with thresholding using the value in ``threshold``.
- ``target`` (int tensor): ``(N, C, ...)``
Args:
preds: Tensor with predictions
target: Tensor with true labels
num_labels: Integer specifying the number of labels
threshold: Threshold for transforming probability to binary (0,1) predictions
average:
Defines the reduction that is applied over labels. Should be one of the following:
- ``micro``: Sum statistics over all labels
- ``macro``: Calculate statistics for each label and average them
- ``weighted``: calculates statistics for each label and computes weighted average using their support
- ``"none"`` or ``None``: calculates statistic for each label and applies no reduction
multidim_average:
Defines how additionally dimensions ``...`` should be handled. Should be one of the following:
- ``global``: Additional dimensions are flatted along the batch dimension
- ``samplewise``: Statistic will be calculated independently for each sample on the ``N`` axis.
The statistics in this case are calculated over the additional dimensions.
ignore_index:
Specifies a target value that is ignored and does not contribute to the metric calculation
validate_args: bool indicating if input arguments and tensors should be validated for correctness.
Set to ``False`` for faster computations.
Returns:
The returned shape depends on the ``average`` and ``multidim_average`` arguments:
- If ``multidim_average`` is set to ``global``:
- If ``average='micro'/'macro'/'weighted'``, the output will be a scalar tensor
- If ``average=None/'none'``, the shape will be ``(C,)``
- If ``multidim_average`` is set to ``samplewise``:
- If ``average='micro'/'macro'/'weighted'``, the shape will be ``(N,)``
- If ``average=None/'none'``, the shape will be ``(N, C)``
Example (preds is int tensor):
>>> from torch import tensor
>>> from torchmetrics.functional.classification import multilabel_accuracy
>>> target = tensor([[0, 1, 0], [1, 0, 1]])
>>> preds = tensor([[0, 0, 1], [1, 0, 1]])
>>> multilabel_accuracy(preds, target, num_labels=3)
tensor(0.6667)
>>> multilabel_accuracy(preds, target, num_labels=3, average=None)
tensor([1.0000, 0.5000, 0.5000])
Example (preds is float tensor):
>>> from torchmetrics.functional.classification import multilabel_accuracy
>>> target = tensor([[0, 1, 0], [1, 0, 1]])
>>> preds = tensor([[0.11, 0.22, 0.84], [0.73, 0.33, 0.92]])
>>> multilabel_accuracy(preds, target, num_labels=3)
tensor(0.6667)
>>> multilabel_accuracy(preds, target, num_labels=3, average=None)
tensor([1.0000, 0.5000, 0.5000])
Example (multidim tensors):
>>> from torchmetrics.functional.classification import multilabel_accuracy
>>> target = tensor([[[0, 1], [1, 0], [0, 1]], [[1, 1], [0, 0], [1, 0]]])
>>> preds = tensor([[[0.59, 0.91], [0.91, 0.99], [0.63, 0.04]],
... [[0.38, 0.04], [0.86, 0.780], [0.45, 0.37]]])
>>> multilabel_accuracy(preds, target, num_labels=3, multidim_average='samplewise')
tensor([0.3333, 0.1667])
>>> multilabel_accuracy(preds, target, num_labels=3, multidim_average='samplewise', average=None)
tensor([[0.5000, 0.5000, 0.0000],
[0.0000, 0.0000, 0.5000]])
"""
if validate_args:
_multilabel_stat_scores_arg_validation(num_labels, threshold, average, multidim_average, ignore_index)
_multilabel_stat_scores_tensor_validation(preds, target, num_labels, multidim_average, ignore_index)
preds, target = _multilabel_stat_scores_format(preds, target, num_labels, threshold, ignore_index)
tp, fp, tn, fn = _multilabel_stat_scores_update(preds, target, multidim_average)
return _accuracy_reduce(tp, fp, tn, fn, average=average, multidim_average=multidim_average, multilabel=True)
def accuracy(
preds: Tensor,
target: Tensor,
task: Literal["binary", "multiclass", "multilabel"],
threshold: float = 0.5,
num_classes: Optional[int] = None,
num_labels: Optional[int] = None,
average: Literal["micro", "macro", "weighted", "none"] = "micro",
multidim_average: Literal["global", "samplewise"] = "global",
top_k: Optional[int] = 1,
ignore_index: Optional[int] = None,
validate_args: bool = True,
) -> Tensor:
r"""Compute `Accuracy`_.
.. math::
\text{Accuracy} = \frac{1}{N}\sum_i^N 1(y_i = \hat{y}_i)
Where :math:`y` is a tensor of target values, and :math:`\hat{y}` is a tensor of predictions.
This function is a simple wrapper to get the task specific versions of this metric, which is done by setting the
``task`` argument to either ``'binary'``, ``'multiclass'`` or ``multilabel``. See the documentation of
:func:`~torchmetrics.functional.classification.binary_accuracy`,
:func:`~torchmetrics.functional.classification.multiclass_accuracy` and
:func:`~torchmetrics.functional.classification.multilabel_accuracy` for the specific details of
each argument influence and examples.
Legacy Example:
>>> from torch import tensor
>>> target = tensor([0, 1, 2, 3])
>>> preds = tensor([0, 2, 1, 3])
>>> accuracy(preds, target, task="multiclass", num_classes=4)
tensor(0.5000)
>>> target = tensor([0, 1, 2])
>>> preds = tensor([[0.1, 0.9, 0], [0.3, 0.1, 0.6], [0.2, 0.5, 0.3]])
>>> accuracy(preds, target, task="multiclass", num_classes=3, top_k=2)
tensor(0.6667)
"""
task = ClassificationTask.from_str(task)
if task == ClassificationTask.BINARY:
return binary_accuracy(preds, target, threshold, multidim_average, ignore_index, validate_args)
if task == ClassificationTask.MULTICLASS:
if not isinstance(num_classes, int):
raise ValueError(
f"Optional arg `num_classes` must be type `int` when task is {task}. Got {type(num_classes)}"
)
if not isinstance(top_k, int):
raise ValueError(f"Optional arg `top_k` must be type `int` when task is {task}. Got {type(top_k)}")
return multiclass_accuracy(
preds, target, num_classes, average, top_k, multidim_average, ignore_index, validate_args
)
if task == ClassificationTask.MULTILABEL:
if not isinstance(num_labels, int):
raise ValueError(
f"Optional arg `num_labels` must be type `int` when task is {task}. Got {type(num_labels)}"
)
return multilabel_accuracy(
preds, target, num_labels, threshold, average, multidim_average, ignore_index, validate_args
)
raise ValueError(f"Not handled value: {task}")