openvino/docs/ops/pooling/AvgPool_1.md

# AvgPool {#openvino_docs_ops_pooling_AvgPool_1}

**Versioned name**: *AvgPool-1*

**Category**: *Pooling*

**Short description**: [Reference](http://caffe.berkeleyvision.org/tutorial/layers/pooling.html)

**Detailed description**: [Reference](http://cs231n.github.io/convolutional-networks/#pool). Average Pool is a pooling operation that performs down-sampling by dividing the input into pooling regions of size specified by kernel attribute and computing the average values of each region. Output shape is calculated as follows:
        `H_out = (H + pads_begin[0] + pads_end[0] - kernel[0] / strides[0]) + 1`
        `W_out = (H + pads_begin[1] + pads_end[1] - kernel[1] / strides[1]) + 1`
        `D_out = (H + pads_begin[2] + pads_end[2] - kernel[2] / strides[2]) + 1`


**Attributes**: *Pooling* attributes are specified in the `data` node, which is a child of the layer node.

* *strides*

  * **Description**: *strides* is a distance (in pixels) to slide the window on the feature map over the (z, y, x) axes for 3D poolings and (y, x) axes for 2D poolings. For example, *strides* equal "4,2,1" means sliding the window 4 pixel at a time over depth dimension, 2 over height dimension and 1 over width dimension.
  * **Range of values**: integer values starting from 0
  * **Type**: int[]
  * **Required**: *yes*

* *pads_begin*

  * **Description**: *pads_begin* is a number of pixels to add to the beginning along each axis. For example, *pads_begin* equal "1,2" means adding 1 pixel to the top of the input and 2 to the left of the input.
  * **Range of values**: integer values starting from 0
  * **Type**: int[]
  * **Required**: *yes*
  * **Note**: the attribute is ignored when *auto_pad* attribute is specified.

* *pads_end*

  * **Description**: *pads_end* is a number of pixels to add to the ending along each axis. For example, *pads_end* equal "1,2" means adding 1 pixel to the bottom of the input and 2 to the right of the input.
  * **Range of values**: integer values starting from 0
  * **Type**: int[]
  * **Required**: *yes*
  * **Note**: the attribute is ignored when *auto_pad* attribute is specified.

* *kernel*

  * **Description**: *kernel* is a size of each filter. For example, *kernel* equal (2, 3) means that each filter has height equal to 2 and width equal to 3.
  * **Range of values**: integer values starting from 1
  * **Type**: int[]
  * **Required**: *yes*

* *exclude-pad*

  * **Description**: *exclude-pad* is a type of pooling strategy for values in the padding area. For example, if *exclude-pad* is "true", then zero-values that came from padding are not included in averaging calculation.
  * **Range of values**: true or false
  * **Type**: boolean
  * **Required**: *yes*

* *rounding_type*

  * **Description**: *rounding_type* is a type of rounding to be applied.
  * **Range of values**:
    * *ceil*
    * *floor*
  * **Type**: string
  * **Default value**: *floor*
  * **Required**: *no*

* *auto_pad*

  * **Description**: *auto_pad* how the padding is calculated. Possible values:
    * *explicit*: use explicit padding values from `pads_begin` and `pads_end`.
    * *same_upper (same_lower)* the input is padded to match the output size. In case of odd padding value an extra padding is added at the end (at the beginning).
    * *valid* - do not use padding.
  * **Type**: string
  * **Default value**: *explicit*
  * **Required**: *no*
  * **Note**: *pads_begin* and *pads_end* attributes are ignored when *auto_pad* is specified.

**Inputs**:

*   **1**: 3D, 4D or 5D input tensor. **Required.**

**Outputs**:
  * **1**: Input shape can be either `[N,C,H]`, `[N,C,H,W]` or `[N,C,H,W,D]`. Then the corresponding output shape is `[N,C,H_out]`, `[N,C,H_out,W_out]` or `[N,C,H_out,W_out,D_out]`.

**Mathematical Formulation**

\f[
output_{j} = \frac{\sum_{i = 0}^{n}x_{i}}{n}
\f]

**Examples**

```xml
<layer ... type="AvgPool" ... >
    <data auto_pad="same_upper" exclude-pad="true" kernel="2,2" pads_begin="0,0" pads_end="1,1" strides="2,2"/>
    <input>
        <port id="0">
            <dim>1</dim>
            <dim>3</dim>
            <dim>32</dim>
            <dim>32</dim>
        </port>
    </input>
    <output>
        <port id="1">
            <dim>1</dim>
            <dim>3</dim>
            <dim>32</dim>
            <dim>32</dim>
        </port>
    </output>
</layer>

<layer ... type="AvgPool" ... >
    <data auto_pad="same_upper" exclude-pad="false" kernel="5,5" pads_begin="0,0" pads_end="1,1" strides="2,2"/>
    <input>
        <port id="0">
            <dim>1</dim>
            <dim>3</dim>
            <dim>32</dim>
            <dim>32</dim>
        </port>
    </input>
    <output>
        <port id="1">
            <dim>1</dim>
            <dim>3</dim>
            <dim>32</dim>
            <dim>32</dim>
        </port>
    </output>
</layer>

<layer ... type="AvgPool" ... >
    <data auto_pad="explicit" exclude-pad="true" kernel="5,5" pads_begin="1,1" pads_end="1,1" strides="3,3"/>
    <input>
        <port id="0">
            <dim>1</dim>
            <dim>3</dim>
            <dim>32</dim>
            <dim>32</dim>
        </port>
    </input>
    <output>
        <port id="1">
            <dim>1</dim>
            <dim>3</dim>
            <dim>10</dim>
            <dim>10</dim>
        </port>
    </output>
</layer>

<layer ... type="AvgPool" ... >
    <data auto_pad="explicit" exclude-pad="false" kernel="5,5" pads_begin="1,1" pads_end="1,1" strides="2,2"/>
    <input>
        <port id="0">
            <dim>1</dim>
            <dim>3</dim>
            <dim>32</dim>
            <dim>32</dim>
        </port>
    </input>
    <output>
        <port id="1">
            <dim>1</dim>
            <dim>3</dim>
            <dim>15</dim>
            <dim>15</dim>
        </port>
    </output>
</layer>

<layer ... type="AvgPool" ... >
    <data auto_pad="valid" exclude-pad="true" kernel="5,5" pads_begin="1,1" pads_end="1,1" strides="2,2"/>
    <input>
        <port id="0">
            <dim>1</dim>
            <dim>3</dim>
            <dim>32</dim>
            <dim>32</dim>
        </port>
    </input>
    <output>
        <port id="1">
            <dim>1</dim>
            <dim>3</dim>
            <dim>14</dim>
            <dim>14</dim>
        </port>
    </output>
</layer>
```