class ignite.metrics.Entropy(output_transform=<function Metric.<lambda>>, device=device(type='cpu'))[source]#

Calculates the mean of entropy.

H=1Ni=1Nc=1Cpi,clogpi,c,pi,c=exp(zi,c)c=1Cexp(zi,c)H = \frac{1}{N} \sum_{i=1}^N \sum_{c=1}^C -p_{i,c} \log p_{i,c}, \quad p_{i,c} = \frac{\exp(z_{i,c})}{\sum_{c'=1}^C \exp(z_{i,c'})}

where pi,cp_{i,c} is the prediction probability of ii-th data belonging to the class cc.

  • update must receive output of the form (y_pred, y) while y is not used in this metric.

  • y_pred is expected to be the unnormalized logits for each class. (B,C)(B, C) (classification) or (B,C,...)(B, C, ...) (e.g., image segmentation) shapes are allowed.

  • 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. By default, metrics require the output as (y_pred, y) or {'y_pred': y_pred, 'y': y}.

  • device (Union[str, 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.


To use with Engine and process_function, simply attach the metric instance to the engine. The output of the engine’s process_function needs to be in the format of (y_pred, y) or {'y_pred': y_pred, 'y': y, ...}. If not, output_tranform can be added to the metric to transform the output into the form expected by the metric.

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.metrics.regression import *
from ignite.utils import *

# create default evaluator for doctests

def eval_step(engine, batch):
    return batch

default_evaluator = Engine(eval_step)

# create default optimizer for doctests

param_tensor = torch.zeros([1], requires_grad=True)
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))

metric = Entropy()
metric.attach(default_evaluator, 'entropy')
y_true = torch.tensor([0, 1, 2])  # not considered in the Entropy metric.
y_pred = torch.tensor([
    [ 0.0000,  0.6931,  1.0986],
    [ 1.3863,  1.6094,  1.6094],
    [ 0.0000, -2.3026, -2.3026]
state =[[y_pred, y_true]])



Computes the metric based on its accumulated state.


Resets the metric to its initial state.


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


Computes the metric based on its accumulated state.

By default, this is called at the end of each epoch.


the actual quantity of interest. However, if a Mapping is returned, it will be (shallow) flattened into engine.state.metrics when completed() is called.

Return type



NotComputableError – raised when the metric cannot be computed.


Resets the metric to its initial state.

By default, this is called at the start of each epoch.

Return type



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

By default, this is called once for each batch.


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

Return type