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

Helper class to compute geometric average of a single variable.

  • update must receive output of the form x.

  • x can be a positive number or a positive torch.Tensor, such that torch.log(x) is not nan.

  • 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.

  • 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.


Number of samples is updated following the rule:

  • +1 if input is a number

  • +1 if input is a 1D torch.Tensor

  • +batch_size if input is a ND torch.Tensor. Batch size is the first dimension (shape[0]).

For input x being an ND torch.Tensor with N > 1, the first dimension is seen as the number of samples and is aggregated and added to the accumulator: accumulator *= prod(x, dim=0)

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.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

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 = GeometricAverage()
metric.attach(default_evaluator, 'avg')
# Case 1. input is er
data = torch.tensor([1, 2, 3])
state =
metric = GeometricAverage()
metric.attach(default_evaluator, 'avg')
# Case 2. input is a 1D torch.Tensor
data = torch.tensor([
    [1, 1, 1],
    [2, 2, 2],
    [3, 3, 3],
    [4, 4, 4],
state =
tensor([2.2134, 2.2134, 2.2134], dtype=torch.float64)
metric = GeometricAverage()
metric.attach(default_evaluator, 'avg')
# Case 3. input is a ND torch.Tensor
data = [
    torch.tensor([[1, 1, 1], [2, 2, 2]]),
    torch.tensor([[3, 3, 3], [4, 4, 4]])
state =
tensor([2.2134, 2.2134, 2.2134], dtype=torch.float64)



Computes the metric based on it's accumulated state.


Computes the metric based on it’s 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.