# Recall#

class ignite.metrics.recall.Recall(output_transform=<function Recall.<lambda>>, average=False, is_multilabel=False, device=device(type='cpu'))[source]#

Calculates recall for binary and multiclass data.

$\text{Recall} = \frac{ TP }{ TP + FN }$

where $\text{TP}$ is true positives and $\text{FN}$ is false negatives.

• update must receive output of the form (y_pred, y) or {'y_pred': y_pred, 'y': y}.

• y_pred must be in the following shape (batch_size, num_categories, …) or (batch_size, …).

• y must be in the following shape (batch_size, …).

Parameters
• output_transform (Callable) – a callable that is used to transform the Engine’s process_function’s output into the form expected by the metric. This can be useful if, for example, you have a multi-output model and you want to compute the metric with respect to one of the outputs.

• average (bool) – if True, precision is computed as the unweighted average (across all classes in multiclass case), otherwise, returns a tensor with the precision (for each class in multiclass case).

• is_multilabel (bool) – flag to use in multilabel case. By default, value is False. If True, average parameter should be True and the average is computed across samples, instead of classes.

• device (Union[str, torch.device]) – specifies which device updates are accumulated on. Setting the metric’s device to be the same as your update arguments ensures the update method is non-blocking. By default, CPU.

Examples

For more information on how metric works with Engine, visit Attach Engine API.

from collections import OrderedDict

import torch
from torch import nn, optim

from ignite.engine import *
from ignite.handlers import *
from ignite.metrics import *
from ignite.utils import *
from ignite.contrib.metrics.regression import *
from ignite.contrib.metrics import *

# create default evaluator for doctests

def eval_step(engine, batch):
return batch

default_evaluator = Engine(eval_step)

# create default optimizer for doctests

default_optimizer = torch.optim.SGD([param_tensor], lr=0.1)

# create default trainer for doctests
# as handlers could be attached to the trainer,
# each test must define his own trainer using .. testsetup:

def get_default_trainer():

def train_step(engine, batch):
return batch

return Engine(train_step)

# create default model for doctests

default_model = nn.Sequential(OrderedDict([
('base', nn.Linear(4, 2)),
('fc', nn.Linear(2, 1))
]))

manual_seed(666)


Binary case

metric = Recall(average=False)
metric.attach(default_evaluator, "recall")
y_true = torch.tensor([1, 0, 1, 1, 0, 1])
y_pred = torch.tensor([1, 0, 1, 0, 1, 1])
state = default_evaluator.run([[y_pred, y_true]])
print(state.metrics["recall"])

0.75


Multiclass case

metric = Recall(average=False)
metric.attach(default_evaluator, "recall")
y_true = torch.tensor([2, 0, 2, 1, 0, 1])
y_pred = torch.tensor([
[0.0266, 0.1719, 0.3055],
[0.6886, 0.3978, 0.8176],
[0.9230, 0.0197, 0.8395],
[0.1785, 0.2670, 0.6084],
[0.8448, 0.7177, 0.7288],
[0.7748, 0.9542, 0.8573],
])
state = default_evaluator.run([[y_pred, y_true]])
print(state.metrics["recall"])

tensor([0.5000, 0.5000, 0.5000], dtype=torch.float64)


Precision can be computed as the unweighted average across all classes:

metric = Recall(average=True)
metric.attach(default_evaluator, "recall")
y_true = torch.tensor([2, 0, 2, 1, 0, 1])
y_pred = torch.tensor([
[0.0266, 0.1719, 0.3055],
[0.6886, 0.3978, 0.8176],
[0.9230, 0.0197, 0.8395],
[0.1785, 0.2670, 0.6084],
[0.8448, 0.7177, 0.7288],
[0.7748, 0.9542, 0.8573],
])
state = default_evaluator.run([[y_pred, y_true]])
print(state.metrics["recall"])

0.5


Multilabel case, the shapes must be (batch_size, num_categories, …)

metric = Recall(is_multilabel=True)
metric.attach(default_evaluator, "recall")
y_true = torch.tensor([
[0, 0, 1],
[0, 0, 0],
[0, 0, 0],
[1, 0, 0],
[0, 1, 1],
]).unsqueeze(0)
y_pred = torch.tensor([
[1, 1, 0],
[1, 0, 1],
[1, 0, 0],
[1, 0, 1],
[1, 1, 0],
]).unsqueeze(0)
state = default_evaluator.run([[y_pred, y_true]])
print(state.metrics["recall"])

tensor([1., 1., 0.], dtype=torch.float64)


In binary and multilabel cases, the elements of y and y_pred should have 0 or 1 values. Thresholding of predictions can be done as below:

def thresholded_output_transform(output):
y_pred, y = output
y_pred = torch.round(y_pred)
return y_pred, y

metric = Recall(average=False, output_transform=thresholded_output_transform)
metric.attach(default_evaluator, "recall")
y_true = torch.tensor([1, 0, 1, 1, 0, 1])
y_pred = torch.tensor([0.6, 0.2, 0.9, 0.4, 0.7, 0.65])
state = default_evaluator.run([[y_pred, y_true]])
print(state.metrics["recall"])

0.75


In multilabel cases, average parameter should be True. However, if user would like to compute F1 metric, for example, average parameter should be False. This can be done as shown below:

precision = Precision(average=False)
recall = Recall(average=False)
F1 = precision * recall * 2 / (precision + recall + 1e-20)
F1 = MetricsLambda(lambda t: torch.mean(t).item(), F1)


Warning

In multilabel cases, if average is False, current implementation stores all input data (output and target) in as tensors before computing a metric. This can potentially lead to a memory error if the input data is larger than available RAM.

Methods

 update Updates the metric's state using the passed batch output.
update(output)[source]#

Updates the metric’s state using the passed batch output.

By default, this is called once for each batch.

Parameters

output (Sequence[torch.Tensor]) – the is the output from the engine’s process function.

Return type

None