# MeanVarianceNormalization#

## MeanVarianceNormalization - 13#

Version

• domain: main

• since_version: 13

• function: True

• support_level: SupportType.COMMON

• shape inference: False

This version of the operator has been available since version 13.

Summary

A MeanVarianceNormalization Function: Perform mean variance normalization on the input tensor X using formula: <br/> `` (X-EX)/sqrt(E(X-EX)^2) ``

Attributes

• axes: A list of integers, along which to reduce. The default is to caculate along axes [0,2,3] for calculating mean and variance along each channel. Two variables with the same C-coordinate are associated with the same mean and variance. Default value is `[0 2 3]`.

Inputs

• X (heterogeneous) - T: Input tensor

Outputs

• Y (heterogeneous) - T: Output tensor

Type Constraints

• T in ( tensor(bfloat16), tensor(double), tensor(float), tensor(float16) ): Constrain input and output types to all numeric tensors.

Examples

default

```node = onnx.helper.make_node(
"MeanVarianceNormalization", inputs=["X"], outputs=["Y"]
)

input_data = np.array(
[
[
[[0.8439683], [0.5665144], [0.05836735]],
[[0.02916367], [0.12964272], [0.5060197]],
[[0.79538304], [0.9411346], [0.9546573]],
],
[
[[0.17730942], [0.46192095], [0.26480448]],
[[0.6746842], [0.01665257], [0.62473077]],
[[0.9240844], [0.9722341], [0.11965699]],
],
[
[[0.41356155], [0.9129373], [0.59330076]],
[[0.81929934], [0.7862604], [0.11799799]],
[[0.69248444], [0.54119414], [0.07513223]],
],
],
dtype=np.float32,
)

# Calculate expected output data
data_mean = np.mean(input_data, axis=(0, 2, 3), keepdims=1)
data_mean_squared = np.power(data_mean, 2)
data_squared = np.power(input_data, 2)
data_squared_mean = np.mean(data_squared, axis=(0, 2, 3), keepdims=1)
std = np.sqrt(data_squared_mean - data_mean_squared)
expected_output = (input_data - data_mean) / (std + 1e-9)

expect(node, inputs=[input_data], outputs=[expected_output], name="test_mvn")
```

Differences

 `0` `0` `A MeanVarianceNormalization Function: Perform mean variance normalization` `A MeanVarianceNormalization Function: Perform mean variance normalization` `1` `1` `on the input tensor X using formula: (X-EX)/sqrt(E(X-EX)^2) ` `on the input tensor X using formula: (X-EX)/sqrt(E(X-EX)^2) ` `2` `2` `3` `3` `**Attributes**` `**Attributes**` `4` `4` `5` `5` `* **axes**:` `* **axes**:` `6` `6` ` A list of integers, along which to reduce. The default is to` ` A list of integers, along which to reduce. The default is to` `7` `7` ` caculate along axes [0,2,3] for calculating mean and variance along` ` caculate along axes [0,2,3] for calculating mean and variance along` `8` `8` ` each channel. Two variables with the same C-coordinate are` ` each channel. Two variables with the same C-coordinate are` `9` `9` ` associated with the same mean and variance. Default value is [0 2 3].` ` associated with the same mean and variance. Default value is [0 2 3].` `10` `10` `11` `11` `**Inputs**` `**Inputs**` `12` `12` `13` `13` `* **X** (heterogeneous) - **T**:` `* **X** (heterogeneous) - **T**:` `14` `14` ` Input tensor` ` Input tensor` `15` `15` `16` `16` `**Outputs**` `**Outputs**` `17` `17` `18` `18` `* **Y** (heterogeneous) - **T**:` `* **Y** (heterogeneous) - **T**:` `19` `19` ` Output tensor` ` Output tensor` `20` `20` `21` `21` `**Type Constraints**` `**Type Constraints**` `22` `22` `23` `23` `* **T** in (` `* **T** in (` `24` ` tensor(bfloat16),` `24` `25` ` tensor(double),` ` tensor(double),` `25` `26` ` tensor(float),` ` tensor(float),` `26` `27` ` tensor(float16)` ` tensor(float16)` `27` `28` ` ):` ` ):` `28` `29` ` Constrain input and output types to all numeric tensors.` ` Constrain input and output types to all numeric tensors.`

## MeanVarianceNormalization - 9#

Version

• domain: main

• since_version: 9

• function: True

• support_level: SupportType.COMMON

• shape inference: False

This version of the operator has been available since version 9.

Summary

A MeanVarianceNormalization Function: Perform mean variance normalization on the input tensor X using formula: <br/> `` (X-EX)/sqrt(E(X-EX)^2) ``

Attributes

• axes: A list of integers, along which to reduce. The default is to caculate along axes [0,2,3] for calculating mean and variance along each channel. Two variables with the same C-coordinate are associated with the same mean and variance. Default value is `[0 2 3]`.

Inputs

• X (heterogeneous) - T: Input tensor

Outputs

• Y (heterogeneous) - T: Output tensor

Type Constraints

• T in ( tensor(double), tensor(float), tensor(float16) ): Constrain input and output types to all numeric tensors.