Developer Guide

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Three-Dimensional Max Pooling Forward Layer

The forward three-dimensional (3D) max pooling layer is a form of non-linear downsampling of an input tensor
X
R
n
1
x
n
2
x ... x
n
p
. 3D max pooling partitions the input tensor data into 3D subtensors along dimensions
k
1
,
k
2
, and
k
3
, selects an element with the maximal numeric value in each subtensor, and transforms the input tensor to the output tensor
Y
by replacing each subtensor with its maximum element.

Problem Statement

Given:
  • p
    -dimensional tensor
    X
    R
    n
    1
    x
    n
    2
    x ... x
    n
    p
    with input data.
  • Dimensions
    k
    1
    ,
    k
    2
    , and
    k
    3
    along which the kernel is applied
  • Kernel sizes
    m
    1
    , m
    2
    , and
    m
    3
    :
    where
    p
    1
    ,
    p
    2
    and
    p
    3
    are paddings
The problem is to compute the value tensor
Y
= (
y
i
1
...
i
p
) ∈
R
l
1
x ... x
l
p
using the downsampling technique.
The layer computes the value
y
i
1
...
i
p
as the maximum element in the subtensor. After the kernel is applied to the subtensor at position
the index of the maximum
T
= (
t
i
1
...
i
p
) is stored for use by the backward 3D max pooling layer:
where
  • s
    1
    ,
    s
    2
    , and
    s
    3
    are strides

Product and Performance Information

1

Intel's compilers may or may not optimize to the same degree for non-Intel microprocessors for optimizations that are not unique to Intel microprocessors. These optimizations include SSE2, SSE3, and SSSE3 instruction sets and other optimizations. Intel does not guarantee the availability, functionality, or effectiveness of any optimization on microprocessors not manufactured by Intel. Microprocessor-dependent optimizations in this product are intended for use with Intel microprocessors. Certain optimizations not specific to Intel microarchitecture are reserved for Intel microprocessors. Please refer to the applicable product User and Reference Guides for more information regarding the specific instruction sets covered by this notice.

Notice revision #20110804