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e0be63bf
编写于
12月 26, 2017
作者:
F
fengjiayi
浏览文件
操作
浏览文件
下载
电子邮件补丁
差异文件
change activations
上级
874cac0c
变更
2
显示空白变更内容
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并排
Showing
2 changed file
with
267 addition
and
238 deletion
+267
-238
paddle/operators/activation_op.cc
paddle/operators/activation_op.cc
+59
-59
paddle/operators/activation_op.h
paddle/operators/activation_op.h
+208
-179
未找到文件。
paddle/operators/activation_op.cc
浏览文件 @
e0be63bf
...
...
@@ -22,8 +22,8 @@ class ActivationOp : public framework::OperatorWithKernel {
using
framework
::
OperatorWithKernel
::
OperatorWithKernel
;
void
InferShape
(
framework
::
InferShapeContext
*
ctx
)
const
override
{
ctx
->
SetOutputDim
(
"
Y
"
,
ctx
->
GetInputDim
(
"X"
));
ctx
->
ShareLoD
(
"X"
,
/*->*/
"
Y
"
);
ctx
->
SetOutputDim
(
"
Out
"
,
ctx
->
GetInputDim
(
"X"
));
ctx
->
ShareLoD
(
"X"
,
/*->*/
"
Out
"
);
}
};
...
...
@@ -32,7 +32,7 @@ class ActivationOpGrad : public framework::OperatorWithKernel {
using
framework
::
OperatorWithKernel
::
OperatorWithKernel
;
void
InferShape
(
framework
::
InferShapeContext
*
ctx
)
const
override
{
ctx
->
SetOutputDim
(
framework
::
GradVarName
(
"X"
),
ctx
->
GetInputDim
(
"
Y
"
));
ctx
->
SetOutputDim
(
framework
::
GradVarName
(
"X"
),
ctx
->
GetInputDim
(
"
Out
"
));
}
};
...
...
@@ -41,11 +41,11 @@ class SigmoidOpMaker : public framework::OpProtoAndCheckerMaker {
SigmoidOpMaker
(
OpProto
*
proto
,
OpAttrChecker
*
op_checker
)
:
framework
::
OpProtoAndCheckerMaker
(
proto
,
op_checker
)
{
AddInput
(
"X"
,
"Input of Sigmoid operator"
);
AddOutput
(
"
Y
"
,
"Output of Sigmoid operator"
);
AddOutput
(
"
Out
"
,
"Output of Sigmoid operator"
);
AddComment
(
R"DOC(
Sigmoid Activation Operator
$$
y
= \frac{1}{1 + e^{-x}}$$
$$
out
= \frac{1}{1 + e^{-x}}$$
)DOC"
);
}
...
...
@@ -56,11 +56,11 @@ class LogSigmoidOpMaker : public framework::OpProtoAndCheckerMaker {
LogSigmoidOpMaker
(
OpProto
*
proto
,
OpAttrChecker
*
op_checker
)
:
framework
::
OpProtoAndCheckerMaker
(
proto
,
op_checker
)
{
AddInput
(
"X"
,
"Input of LogSigmoid operator"
);
AddOutput
(
"
Y
"
,
"Output of LogSigmoid operator"
);
AddOutput
(
"
Out
"
,
"Output of LogSigmoid operator"
);
AddComment
(
R"DOC(
Logsigmoid Activation Operator
$$
y
= \log \frac{1}{1 + e^{-x}}$$
$$
out
= \log \frac{1}{1 + e^{-x}}$$
)DOC"
);
}
...
...
@@ -71,11 +71,11 @@ class ExpOpMaker : public framework::OpProtoAndCheckerMaker {
ExpOpMaker
(
OpProto
*
proto
,
OpAttrChecker
*
op_checker
)
:
framework
::
OpProtoAndCheckerMaker
(
proto
,
op_checker
)
{
AddInput
(
"X"
,
"Input of Exp operator"
);
AddOutput
(
"
Y
"
,
"Output of Exp operator"
);
AddOutput
(
"
Out
"
,
"Output of Exp operator"
);
AddComment
(
R"DOC(
Exp Activation Operator.
$
y
= e^x$
$
out
= e^x$
)DOC"
);
}
...
...
@@ -86,11 +86,11 @@ class ReluOpMaker : public framework::OpProtoAndCheckerMaker {
ReluOpMaker
(
OpProto
*
proto
,
OpAttrChecker
*
op_checker
)
:
framework
::
OpProtoAndCheckerMaker
(
proto
,
op_checker
)
{
AddInput
(
"X"
,
"Input of Relu operator"
);
AddOutput
(
"
Y
"
,
"Output of Relu operator"
);
AddOutput
(
"
Out
"
,
"Output of Relu operator"
);
AddComment
(
R"DOC(
Relu Activation Operator.
$
y
= \max(x, 0)$
$
out
= \max(x, 0)$
)DOC"
);
}
...
...
@@ -101,12 +101,12 @@ class LeakyReluOpMaker : public framework::OpProtoAndCheckerMaker {
LeakyReluOpMaker
(
OpProto
*
proto
,
OpAttrChecker
*
op_checker
)
:
framework
::
OpProtoAndCheckerMaker
(
proto
,
op_checker
)
{
AddInput
(
"X"
,
"Input of LeakyRelu operator"
);
AddOutput
(
"
Y
"
,
"Output of LeakyRelu operator"
);
AddOutput
(
"
Out
"
,
"Output of LeakyRelu operator"
);
AddAttr
<
float
>
(
"alpha"
,
"The small negative slope"
).
SetDefault
(
0.02
f
);
AddComment
(
R"DOC(
LeakyRelu Activation Operator.
$
y
= \max(x, \alpha * x)$
$
out
= \max(x, \alpha * x)$
)DOC"
);
}
...
...
@@ -117,13 +117,13 @@ class SoftShrinkOpMaker : public framework::OpProtoAndCheckerMaker {
SoftShrinkOpMaker
(
OpProto
*
proto
,
OpAttrChecker
*
op_checker
)
:
framework
::
OpProtoAndCheckerMaker
(
proto
,
op_checker
)
{
AddInput
(
"X"
,
"Input of Softshrink operator"
);
AddOutput
(
"
Y
"
,
"Output of Softshrink operator"
);
AddOutput
(
"
Out
"
,
"Output of Softshrink operator"
);
AddAttr
<
float
>
(
"lambda"
,
"non-negative offset"
).
SetDefault
(
0.5
f
);
AddComment
(
R"DOC(
Softshrink Activation Operator.
$$
y
= \begin{cases}
out
= \begin{cases}
x - \lambda, \text{if } x > \lambda \\
x + \lambda, \text{if } x < -\lambda \\
0, \text{otherwise}
...
...
@@ -139,11 +139,11 @@ class TanhOpMaker : public framework::OpProtoAndCheckerMaker {
TanhOpMaker
(
OpProto
*
proto
,
OpAttrChecker
*
op_checker
)
:
framework
::
OpProtoAndCheckerMaker
(
proto
,
op_checker
)
{
AddInput
(
"X"
,
"Input of Tanh operator"
);
AddOutput
(
"
Y
"
,
"Output of Tanh operator"
);
AddOutput
(
"
Out
"
,
"Output of Tanh operator"
);
AddComment
(
R"DOC(
Tanh Activation Operator.
$$
y
= \frac{e^{x} - e^{-x}}{e^{x} + e^{-x}}$$
$$
out
= \frac{e^{x} - e^{-x}}{e^{x} + e^{-x}}$$
)DOC"
);
}
...
...
@@ -154,11 +154,11 @@ class TanhShrinkOpMaker : public framework::OpProtoAndCheckerMaker {
TanhShrinkOpMaker
(
OpProto
*
proto
,
OpAttrChecker
*
op_checker
)
:
framework
::
OpProtoAndCheckerMaker
(
proto
,
op_checker
)
{
AddInput
(
"X"
,
"Input of TanhShrink operator"
);
AddOutput
(
"
Y
"
,
"Output of TanhShrink operator"
);
AddOutput
(
"
Out
"
,
"Output of TanhShrink operator"
);
AddComment
(
R"DOC(
TanhShrink Activation Operator.
$$
y
= x - \frac{e^{x} - e^{-x}}{e^{x} + e^{-x}}$$
$$
out
= x - \frac{e^{x} - e^{-x}}{e^{x} + e^{-x}}$$
)DOC"
);
}
...
...
@@ -169,14 +169,14 @@ class HardShrinkOpMaker : public framework::OpProtoAndCheckerMaker {
HardShrinkOpMaker
(
OpProto
*
proto
,
OpAttrChecker
*
op_checker
)
:
framework
::
OpProtoAndCheckerMaker
(
proto
,
op_checker
)
{
AddInput
(
"X"
,
"Input of HardShrink operator"
);
AddOutput
(
"
Y
"
,
"Output of HardShrink operator"
);
AddOutput
(
"
Out
"
,
"Output of HardShrink operator"
);
AddAttr
<
float
>
(
"threshold"
,
"The value of threshold for HardShrink"
)
.
SetDefault
(
0.5
f
);
AddComment
(
R"DOC(
HardShrink Activation Operator.
$$
y
= \begin{cases}
out
= \begin{cases}
x, \text{if } x > \lambda \\
x, \text{if } x < -\lambda \\
0, \text{otherwise}
...
...
@@ -192,11 +192,11 @@ class SqrtOpMaker : public framework::OpProtoAndCheckerMaker {
SqrtOpMaker
(
OpProto
*
proto
,
OpAttrChecker
*
op_checker
)
:
framework
::
OpProtoAndCheckerMaker
(
proto
,
op_checker
)
{
AddInput
(
"X"
,
"Input of Sqrt operator"
);
AddOutput
(
"
Y
"
,
"Output of Sqrt operator"
);
AddOutput
(
"
Out
"
,
"Output of Sqrt operator"
);
AddComment
(
R"DOC(
Sqrt Activation Operator.
$
y
= \sqrt{x}$
$
out
= \sqrt{x}$
)DOC"
);
}
...
...
@@ -207,11 +207,11 @@ class AbsOpMaker : public framework::OpProtoAndCheckerMaker {
AbsOpMaker
(
OpProto
*
proto
,
OpAttrChecker
*
op_checker
)
:
framework
::
OpProtoAndCheckerMaker
(
proto
,
op_checker
)
{
AddInput
(
"X"
,
"Input of Abs operator"
);
AddOutput
(
"
Y
"
,
"Output of Abs operator"
);
AddOutput
(
"
Out
"
,
"Output of Abs operator"
);
AddComment
(
R"DOC(
Abs Activation Operator.
$
y
= |x|$
$
out
= |x|$
)DOC"
);
}
...
...
@@ -222,11 +222,11 @@ class CeilOpMaker : public framework::OpProtoAndCheckerMaker {
CeilOpMaker
(
OpProto
*
proto
,
OpAttrChecker
*
op_checker
)
:
framework
::
OpProtoAndCheckerMaker
(
proto
,
op_checker
)
{
AddInput
(
"X"
,
"Input of Ceil operator"
);
AddOutput
(
"
Y
"
,
"Output of Ceil operator"
);
AddOutput
(
"
Out
"
,
"Output of Ceil operator"
);
AddComment
(
R"DOC(
Ceil Activation Operator.
$
y
= ceil(x)$
$
out
= ceil(x)$
)DOC"
);
}
...
...
@@ -237,11 +237,11 @@ class FloorOpMaker : public framework::OpProtoAndCheckerMaker {
FloorOpMaker
(
OpProto
*
proto
,
OpAttrChecker
*
op_checker
)
:
framework
::
OpProtoAndCheckerMaker
(
proto
,
op_checker
)
{
AddInput
(
"X"
,
"Input of Floor operator"
);
AddOutput
(
"
Y
"
,
"Output of Floor operator"
);
AddOutput
(
"
Out
"
,
"Output of Floor operator"
);
AddComment
(
R"DOC(
Floor Activation Operator.
$
y
= floor(x)$
$
out
= floor(x)$
)DOC"
);
}
...
...
@@ -252,11 +252,11 @@ class RoundOpMaker : public framework::OpProtoAndCheckerMaker {
RoundOpMaker
(
OpProto
*
proto
,
OpAttrChecker
*
op_checker
)
:
framework
::
OpProtoAndCheckerMaker
(
proto
,
op_checker
)
{
AddInput
(
"X"
,
"Input of Round operator"
);
AddOutput
(
"
Y
"
,
"Output of Round operator"
);
AddOutput
(
"
Out
"
,
"Output of Round operator"
);
AddComment
(
R"DOC(
Round Activation Operator.
$
y
= [x]$
$
out
= [x]$
)DOC"
);
}
...
...
@@ -267,11 +267,11 @@ class ReciprocalOpMaker : public framework::OpProtoAndCheckerMaker {
ReciprocalOpMaker
(
OpProto
*
proto
,
OpAttrChecker
*
op_checker
)
:
framework
::
OpProtoAndCheckerMaker
(
proto
,
op_checker
)
{
AddInput
(
"X"
,
"Input of Reciprocal operator"
);
AddOutput
(
"
Y
"
,
"Output of Reciprocal operator"
);
AddOutput
(
"
Out
"
,
"Output of Reciprocal operator"
);
AddComment
(
R"DOC(
Reciprocal Activation Operator.
$$
y
= \frac{1}{x}$$
$$
out
= \frac{1}{x}$$
)DOC"
);
}
...
...
@@ -282,11 +282,11 @@ class LogOpMaker : public framework::OpProtoAndCheckerMaker {
LogOpMaker
(
OpProto
*
proto
,
OpAttrChecker
*
op_checker
)
:
framework
::
OpProtoAndCheckerMaker
(
proto
,
op_checker
)
{
AddInput
(
"X"
,
"Input of Log operator"
);
AddOutput
(
"
Y
"
,
"Output of Log operator"
);
AddOutput
(
"
Out
"
,
"Output of Log operator"
);
AddComment
(
R"DOC(
Log Activation Operator.
$
y
= \ln(x)$
$
out
= \ln(x)$
Natural logarithm of x.
...
...
@@ -299,11 +299,11 @@ class SquareOpMaker : public framework::OpProtoAndCheckerMaker {
SquareOpMaker
(
OpProto
*
proto
,
OpAttrChecker
*
op_checker
)
:
framework
::
OpProtoAndCheckerMaker
(
proto
,
op_checker
)
{
AddInput
(
"X"
,
"Input of Square operator"
);
AddOutput
(
"
Y
"
,
"Output of Square operator"
);
AddOutput
(
"
Out
"
,
"Output of Square operator"
);
AddComment
(
R"DOC(
Square Activation Operator.
$
y
= x^2$
$
out
= x^2$
)DOC"
);
}
...
...
@@ -314,11 +314,11 @@ class SoftplusOpMaker : public framework::OpProtoAndCheckerMaker {
SoftplusOpMaker
(
OpProto
*
proto
,
OpAttrChecker
*
op_checker
)
:
framework
::
OpProtoAndCheckerMaker
(
proto
,
op_checker
)
{
AddInput
(
"X"
,
"Input of Softplus operator"
);
AddOutput
(
"
Y
"
,
"Output of Softplus operator"
);
AddOutput
(
"
Out
"
,
"Output of Softplus operator"
);
AddComment
(
R"DOC(
Softplus Activation Operator.
$
y
= \ln(1 + e^{x})$
$
out
= \ln(1 + e^{x})$
)DOC"
);
}
...
...
@@ -329,11 +329,11 @@ class SoftsignOpMaker : public framework::OpProtoAndCheckerMaker {
SoftsignOpMaker
(
OpProto
*
proto
,
OpAttrChecker
*
op_checker
)
:
framework
::
OpProtoAndCheckerMaker
(
proto
,
op_checker
)
{
AddInput
(
"X"
,
"Input of Softsign operator"
);
AddOutput
(
"
Y
"
,
"Output of Softsign operator"
);
AddOutput
(
"
Out
"
,
"Output of Softsign operator"
);
AddComment
(
R"DOC(
Softsign Activation Operator.
$$
y
= \frac{x}{1 + |x|}$$
$$
out
= \frac{x}{1 + |x|}$$
)DOC"
);
}
...
...
@@ -344,7 +344,7 @@ class BReluOpMaker : public framework::OpProtoAndCheckerMaker {
BReluOpMaker
(
OpProto
*
proto
,
OpAttrChecker
*
op_checker
)
:
framework
::
OpProtoAndCheckerMaker
(
proto
,
op_checker
)
{
AddInput
(
"X"
,
"Input of BRelu operator"
);
AddOutput
(
"
Y
"
,
"Output of BRelu operator"
);
AddOutput
(
"
Out
"
,
"Output of BRelu operator"
);
AddAttr
<
float
>
(
"t_min"
,
"The min marginal value of BRelu"
)
.
SetDefault
(
static_cast
<
float
>
(
0
));
AddAttr
<
float
>
(
"t_max"
,
"The max marginal value of BRelu"
)
...
...
@@ -352,7 +352,7 @@ class BReluOpMaker : public framework::OpProtoAndCheckerMaker {
AddComment
(
R"DOC(
BRelu Activation Operator.
$
y
= \max(\min(x, t_{min}), t_{max})$
$
out
= \max(\min(x, t_{min}), t_{max})$
)DOC"
);
}
...
...
@@ -363,13 +363,13 @@ class SoftReluOpMaker : public framework::OpProtoAndCheckerMaker {
SoftReluOpMaker
(
OpProto
*
proto
,
OpAttrChecker
*
op_checker
)
:
framework
::
OpProtoAndCheckerMaker
(
proto
,
op_checker
)
{
AddInput
(
"X"
,
"Input of SoftRelu operator"
);
AddOutput
(
"
Y
"
,
"Output of SoftRelu operator"
);
AddOutput
(
"
Out
"
,
"Output of SoftRelu operator"
);
AddAttr
<
float
>
(
"threshold"
,
"The threshold value of SoftRelu"
)
.
SetDefault
(
40.0
f
);
AddComment
(
R"DOC(
SoftRelu Activation Operator.
$
y
= \ln(1 + \exp(\max(\min(x, threshold), threshold))$
$
out
= \ln(1 + \exp(\max(\min(x, threshold), threshold))$
)DOC"
);
}
...
...
@@ -380,7 +380,7 @@ class ELUOpMaker : public framework::OpProtoAndCheckerMaker {
ELUOpMaker
(
OpProto
*
proto
,
OpAttrChecker
*
op_checker
)
:
framework
::
OpProtoAndCheckerMaker
(
proto
,
op_checker
)
{
AddInput
(
"X"
,
"Input of ELU operator"
);
AddOutput
(
"
Y
"
,
"Output of ELU operator"
);
AddOutput
(
"
Out
"
,
"Output of ELU operator"
);
AddAttr
<
float
>
(
"alpha"
,
"The alpha value of ELU"
).
SetDefault
(
1.0
f
);
AddComment
(
R"DOC(
ELU Activation Operator.
...
...
@@ -388,7 +388,7 @@ ELU Activation Operator.
Applies the following element-wise computation on the input according to
https://arxiv.org/abs/1511.07289.
$
y
= \max(0, x) + \min(0, \alpha * (e^x - 1))$
$
out
= \max(0, x) + \min(0, \alpha * (e^x - 1))$
)DOC"
);
}
...
...
@@ -399,13 +399,13 @@ class Relu6OpMaker : public framework::OpProtoAndCheckerMaker {
Relu6OpMaker
(
OpProto
*
proto
,
OpAttrChecker
*
op_checker
)
:
framework
::
OpProtoAndCheckerMaker
(
proto
,
op_checker
)
{
AddInput
(
"X"
,
"Input of Relu6 operator"
);
AddOutput
(
"
Y
"
,
"Output of Relu6 operator"
);
AddOutput
(
"
Out
"
,
"Output of Relu6 operator"
);
AddAttr
<
float
>
(
"threshold"
,
"The threshold value of Relu6"
)
.
SetDefault
(
6.0
f
);
AddComment
(
R"DOC(
Relu6 Activation Operator.
$
y
= \min(\max(0, x), 6)$
$
out
= \min(\max(0, x), 6)$
)DOC"
);
}
...
...
@@ -416,12 +416,12 @@ class PowOpMaker : public framework::OpProtoAndCheckerMaker {
PowOpMaker
(
OpProto
*
proto
,
OpAttrChecker
*
op_checker
)
:
framework
::
OpProtoAndCheckerMaker
(
proto
,
op_checker
)
{
AddInput
(
"X"
,
"Input of Pow operator"
);
AddOutput
(
"
Y
"
,
"Output of Pow operator"
);
AddOutput
(
"
Out
"
,
"Output of Pow operator"
);
AddAttr
<
float
>
(
"factor"
,
"The exponential factor of Pow"
).
SetDefault
(
1.0
f
);
AddComment
(
R"DOC(
Pow Activation Operator.
$
y
= x^{factor}$
$
out
= x^{factor}$
)DOC"
);
}
...
...
@@ -432,7 +432,7 @@ class STanhOpMaker : public framework::OpProtoAndCheckerMaker {
STanhOpMaker
(
OpProto
*
proto
,
OpAttrChecker
*
op_checker
)
:
framework
::
OpProtoAndCheckerMaker
(
proto
,
op_checker
)
{
AddInput
(
"X"
,
"Input of STanh operator"
);
AddOutput
(
"
Y
"
,
"Output of STanh operator"
);
AddOutput
(
"
Out
"
,
"Output of STanh operator"
);
AddAttr
<
float
>
(
"scale_a"
,
"The scale parameter of a for the input"
)
.
SetDefault
(
2.0
f
/
3.0
f
);
AddAttr
<
float
>
(
"scale_b"
,
"The scale parameter of b for the input"
)
...
...
@@ -440,7 +440,7 @@ class STanhOpMaker : public framework::OpProtoAndCheckerMaker {
AddComment
(
R"DOC(
STanh Activation Operator.
$$
y
= b * \frac{e^{a * x} - e^{-a * x}}{e^{a * x} + e^{-a * x}}$$
$$
out
= b * \frac{e^{a * x} - e^{-a * x}}{e^{a * x} + e^{-a * x}}$$
)DOC"
);
}
...
...
@@ -451,14 +451,14 @@ class ThresholdedReluOpMaker : public framework::OpProtoAndCheckerMaker {
ThresholdedReluOpMaker
(
OpProto
*
proto
,
OpAttrChecker
*
op_checker
)
:
framework
::
OpProtoAndCheckerMaker
(
proto
,
op_checker
)
{
AddInput
(
"X"
,
"Input of ThresholdedRelu operator"
);
AddOutput
(
"
Y
"
,
"Output of ThresholdedRelu operator"
);
AddOutput
(
"
Out
"
,
"Output of ThresholdedRelu operator"
);
AddAttr
<
float
>
(
"threshold"
,
"The threshold location of activation"
)
.
SetDefault
(
1.0
f
);
AddComment
(
R"DOC(
ThresholdedRelu Activation Operator.
$$
y
= \begin{cases}
out
= \begin{cases}
x, \text{if } x > threshold \\
0, \text{otherwise}
\end{cases}
...
...
@@ -473,7 +473,7 @@ class HardSigmoidOpMaker : public framework::OpProtoAndCheckerMaker {
HardSigmoidOpMaker
(
OpProto
*
proto
,
OpAttrChecker
*
op_checker
)
:
framework
::
OpProtoAndCheckerMaker
(
proto
,
op_checker
)
{
AddInput
(
"X"
,
"Input of HardSigmoid operator"
);
AddOutput
(
"
Y
"
,
"Output of HardSigmoid operator"
);
AddOutput
(
"
Out
"
,
"Output of HardSigmoid operator"
);
AddAttr
<
float
>
(
"slope"
,
"Slope for linear approximation of sigmoid"
)
.
SetDefault
(
0.2
f
);
AddAttr
<
float
>
(
"offset"
,
"Offset for linear approximation of sigmoid"
)
...
...
@@ -484,7 +484,7 @@ HardSigmoid Activation Operator.
Segment-wise linear approximation of sigmoid(https://arxiv.org/abs/1603.00391),
which is much faster than sigmoid.
$
y
= \max(0, \min(1, slope * x + shift))$
$
out
= \max(0, \min(1, slope * x + shift))$
The slope should be positive. The offset can be either positive or negative.
The default slope and shift are set according to the above reference.
...
...
@@ -499,12 +499,12 @@ class SwishOpMaker : public framework::OpProtoAndCheckerMaker {
SwishOpMaker
(
OpProto
*
proto
,
OpAttrChecker
*
op_checker
)
:
framework
::
OpProtoAndCheckerMaker
(
proto
,
op_checker
)
{
AddInput
(
"X"
,
"Input of Swish operator"
);
AddOutput
(
"
Y
"
,
"Output of Swish operator"
);
AddOutput
(
"
Out
"
,
"Output of Swish operator"
);
AddAttr
<
float
>
(
"beta"
,
"Constant beta of swish operator"
).
SetDefault
(
1.0
f
);
AddComment
(
R"DOC(
Swish Activation Operator.
$$
y
= \frac{x}{1 + e^{- \beta x}}$$
$$
out
= \frac{x}{1 + e^{- \beta x}}$$
)DOC"
);
}
...
...
paddle/operators/activation_op.h
浏览文件 @
e0be63bf
...
...
@@ -27,11 +27,11 @@ class ActivationKernel
void
Compute
(
const
framework
::
ExecutionContext
&
context
)
const
override
{
auto
*
X
=
context
.
Input
<
framework
::
Tensor
>
(
"X"
);
auto
*
Y
=
context
.
Output
<
framework
::
Tensor
>
(
"Y
"
);
Y
->
mutable_data
<
T
>
(
context
.
GetPlace
());
auto
*
Out
=
context
.
Output
<
framework
::
Tensor
>
(
"Out
"
);
Out
->
mutable_data
<
T
>
(
context
.
GetPlace
());
auto
x
=
framework
::
EigenVector
<
T
>::
Flatten
(
*
X
);
auto
y
=
framework
::
EigenVector
<
T
>::
Flatten
(
*
Y
);
auto
out
=
framework
::
EigenVector
<
T
>::
Flatten
(
*
Out
);
auto
*
place
=
context
.
template
device_context
<
DeviceContext
>().
eigen_device
();
Functor
functor
;
...
...
@@ -40,7 +40,7 @@ class ActivationKernel
for
(
auto
&
attr
:
attrs
)
{
*
attr
.
second
=
context
.
Attr
<
float
>
(
attr
.
first
);
}
functor
(
*
place
,
x
,
y
);
functor
(
*
place
,
x
,
out
);
}
};
...
...
@@ -51,14 +51,15 @@ class ActivationGradKernel
using
T
=
typename
Functor
::
ELEMENT_TYPE
;
void
Compute
(
const
framework
::
ExecutionContext
&
context
)
const
override
{
auto
*
X
=
context
.
Input
<
framework
::
Tensor
>
(
"X"
);
auto
*
Y
=
context
.
Input
<
framework
::
Tensor
>
(
"Y"
);
auto
*
dY
=
context
.
Input
<
framework
::
Tensor
>
(
framework
::
GradVarName
(
"Y"
));
auto
*
Out
=
context
.
Input
<
framework
::
Tensor
>
(
"Out"
);
auto
*
dOut
=
context
.
Input
<
framework
::
Tensor
>
(
framework
::
GradVarName
(
"Out"
));
auto
*
dX
=
context
.
Output
<
framework
::
Tensor
>
(
framework
::
GradVarName
(
"X"
));
dX
->
mutable_data
<
T
>
(
context
.
GetPlace
());
auto
d
y
=
framework
::
EigenVector
<
T
>::
Flatten
(
*
dY
);
auto
d
out
=
framework
::
EigenVector
<
T
>::
Flatten
(
*
dOut
);
auto
x
=
framework
::
EigenVector
<
T
>::
Flatten
(
*
X
);
auto
y
=
framework
::
EigenVector
<
T
>::
Flatten
(
*
Y
);
auto
out
=
framework
::
EigenVector
<
T
>::
Flatten
(
*
Out
);
auto
dx
=
framework
::
EigenVector
<
T
>::
Flatten
(
*
dX
);
auto
*
place
=
context
.
template
device_context
<
DeviceContext
>().
eigen_device
();
...
...
@@ -67,7 +68,7 @@ class ActivationGradKernel
for
(
auto
&
attr
:
attrs
)
{
*
attr
.
second
=
context
.
Attr
<
float
>
(
attr
.
first
);
}
functor
(
*
place
,
x
,
y
,
dy
,
dx
);
functor
(
*
place
,
x
,
out
,
dout
,
dx
);
}
};
...
...
@@ -83,17 +84,18 @@ struct BaseActivationFunctor {
// sigmoid(x) = 1 / (1 + exp(-x))
template
<
typename
T
>
struct
SigmoidFunctor
:
public
BaseActivationFunctor
<
T
>
{
template
<
typename
Device
,
typename
X
,
typename
Y
>
void
operator
()(
Device
d
,
X
x
,
Y
y
)
const
{
y
.
device
(
d
)
=
static_cast
<
T
>
(
1
)
/
(
static_cast
<
T
>
(
1
)
+
(
-
x
).
exp
());
template
<
typename
Device
,
typename
X
,
typename
Out
>
void
operator
()(
Device
d
,
X
x
,
Out
out
)
const
{
out
.
device
(
d
)
=
static_cast
<
T
>
(
1
)
/
(
static_cast
<
T
>
(
1
)
+
(
-
x
).
exp
());
}
};
template
<
typename
T
>
struct
SigmoidGradFunctor
:
public
BaseActivationFunctor
<
T
>
{
template
<
typename
Device
,
typename
X
,
typename
Y
,
typename
dY
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Y
y
,
dY
dy
,
dX
dx
)
const
{
dx
.
device
(
d
)
=
dy
*
y
*
(
static_cast
<
T
>
(
1
)
-
y
);
template
<
typename
Device
,
typename
X
,
typename
Out
,
typename
dOut
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Out
out
,
dOut
dout
,
dX
dx
)
const
{
dx
.
device
(
d
)
=
dout
*
out
*
(
static_cast
<
T
>
(
1
)
-
out
);
}
};
...
...
@@ -101,7 +103,7 @@ struct SigmoidGradFunctor : public BaseActivationFunctor<T> {
// For numerical stability, we can use the log-sum-exp trick:
// https://hips.seas.harvard.edu/blog/2013/01/09/computing-log-sum-exp/
// We can rewrite the above equation as:
//
y
= -log( exp(0) + exp(-x)) [since exp(0) = 1]
//
out
= -log( exp(0) + exp(-x)) [since exp(0) = 1]
// = -log( exp(max(-x, 0) - max(-x, 0)) + exp(-x + max(-x, 0) - max(-x, 0)))
// = -log( exp(max(-x, 0)) * exp(-max(-x, 0)) - exp(max(-x, 0)) * exp(-x -
// max(-x, 0)))
...
...
@@ -112,10 +114,10 @@ struct SigmoidGradFunctor : public BaseActivationFunctor<T> {
// + exp(-x - max(-x, 0))))
template
<
typename
T
>
struct
LogSigmoidFunctor
:
public
BaseActivationFunctor
<
T
>
{
template
<
typename
Device
,
typename
X
,
typename
Y
>
void
operator
()(
Device
d
,
X
x
,
Y
y
)
const
{
template
<
typename
Device
,
typename
X
,
typename
Out
>
void
operator
()(
Device
d
,
X
x
,
Out
out
)
const
{
auto
temp
=
(
-
x
).
cwiseMax
(
static_cast
<
T
>
(
0
));
// temp = max(-x, 0)
y
.
device
(
d
)
=
-
temp
-
(((
-
temp
).
exp
()
+
(
-
x
-
temp
).
exp
()).
log
());
out
.
device
(
d
)
=
-
temp
-
(((
-
temp
).
exp
()
+
(
-
x
-
temp
).
exp
()).
log
());
}
};
...
...
@@ -124,62 +126,66 @@ struct LogSigmoidFunctor : public BaseActivationFunctor<T> {
// exp(-x - max(-x, 0)))
template
<
typename
T
>
struct
LogSigmoidGradFunctor
:
public
BaseActivationFunctor
<
T
>
{
template
<
typename
Device
,
typename
X
,
typename
Y
,
typename
dY
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Y
y
,
dY
dy
,
dX
dx
)
const
{
template
<
typename
Device
,
typename
X
,
typename
Out
,
typename
dOut
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Out
out
,
dOut
dout
,
dX
dx
)
const
{
auto
temp
=
(
-
x
).
cwiseMax
(
static_cast
<
T
>
(
0
));
// temp = max(-x, 0)
dx
.
device
(
d
)
=
d
y
*
((
-
x
-
temp
).
exp
()
/
((
-
temp
).
exp
()
+
(
-
x
-
temp
).
exp
()));
d
out
*
((
-
x
-
temp
).
exp
()
/
((
-
temp
).
exp
()
+
(
-
x
-
temp
).
exp
()));
}
};
// exp(x) = e^x
template
<
typename
T
>
struct
ExpFunctor
:
public
BaseActivationFunctor
<
T
>
{
template
<
typename
Device
,
typename
X
,
typename
Y
>
void
operator
()(
Device
d
,
X
x
,
Y
y
)
const
{
y
.
device
(
d
)
=
x
.
exp
();
template
<
typename
Device
,
typename
X
,
typename
Out
>
void
operator
()(
Device
d
,
X
x
,
Out
out
)
const
{
out
.
device
(
d
)
=
x
.
exp
();
}
};
template
<
typename
T
>
struct
ExpGradFunctor
:
public
BaseActivationFunctor
<
T
>
{
template
<
typename
Device
,
typename
X
,
typename
Y
,
typename
dY
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Y
y
,
dY
dy
,
dX
dx
)
const
{
dx
.
device
(
d
)
=
dy
*
y
;
template
<
typename
Device
,
typename
X
,
typename
Out
,
typename
dOut
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Out
out
,
dOut
dout
,
dX
dx
)
const
{
dx
.
device
(
d
)
=
dout
*
out
;
}
};
// relu(x) = max(x, 0)
template
<
typename
T
>
struct
ReluFunctor
:
public
BaseActivationFunctor
<
T
>
{
template
<
typename
Device
,
typename
X
,
typename
Y
>
void
operator
()(
Device
d
,
X
x
,
Y
y
)
const
{
y
.
device
(
d
)
=
x
.
cwiseMax
(
static_cast
<
T
>
(
0
));
template
<
typename
Device
,
typename
X
,
typename
Out
>
void
operator
()(
Device
d
,
X
x
,
Out
out
)
const
{
out
.
device
(
d
)
=
x
.
cwiseMax
(
static_cast
<
T
>
(
0
));
}
};
template
<
typename
T
>
struct
ReluGradFunctor
:
public
BaseActivationFunctor
<
T
>
{
template
<
typename
Device
,
typename
X
,
typename
Y
,
typename
dY
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Y
y
,
dY
dy
,
dX
dx
)
const
{
dx
.
device
(
d
)
=
dy
*
(
x
>
static_cast
<
T
>
(
0
)).
template
cast
<
T
>();
template
<
typename
Device
,
typename
X
,
typename
Out
,
typename
dOut
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Out
out
,
dOut
dout
,
dX
dx
)
const
{
dx
.
device
(
d
)
=
dout
*
(
x
>
static_cast
<
T
>
(
0
)).
template
cast
<
T
>();
}
};
// tanh(x) = (exp(x) - exp(-x)) / (exp(x) + exp(-x))
template
<
typename
T
>
struct
TanhFunctor
:
public
BaseActivationFunctor
<
T
>
{
template
<
typename
Device
,
typename
X
,
typename
Y
>
void
operator
()(
Device
d
,
X
x
,
Y
y
)
const
{
y
.
device
(
d
)
=
x
.
tanh
();
template
<
typename
Device
,
typename
X
,
typename
Out
>
void
operator
()(
Device
d
,
X
x
,
Out
out
)
const
{
out
.
device
(
d
)
=
x
.
tanh
();
}
};
template
<
typename
T
>
struct
TanhGradFunctor
:
public
BaseActivationFunctor
<
T
>
{
template
<
typename
Device
,
typename
X
,
typename
Y
,
typename
dY
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Y
y
,
dY
dy
,
dX
dx
)
const
{
dx
.
device
(
d
)
=
dy
*
(
static_cast
<
T
>
(
1
)
-
y
*
y
);
template
<
typename
Device
,
typename
X
,
typename
Out
,
typename
dOut
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Out
out
,
dOut
dout
,
dX
dx
)
const
{
dx
.
device
(
d
)
=
dout
*
(
static_cast
<
T
>
(
1
)
-
out
*
out
);
}
};
...
...
@@ -187,17 +193,18 @@ struct TanhGradFunctor : public BaseActivationFunctor<T> {
// where tanh(x) = (exp(x) - exp(-x)) / (exp(x) + exp(-x))
template
<
typename
T
>
struct
TanhShrinkFunctor
:
public
BaseActivationFunctor
<
T
>
{
template
<
typename
Device
,
typename
X
,
typename
Y
>
void
operator
()(
Device
d
,
X
x
,
Y
y
)
const
{
y
.
device
(
d
)
=
x
-
x
.
tanh
();
template
<
typename
Device
,
typename
X
,
typename
Out
>
void
operator
()(
Device
d
,
X
x
,
Out
out
)
const
{
out
.
device
(
d
)
=
x
-
x
.
tanh
();
}
};
template
<
typename
T
>
struct
TanhShrinkGradFunctor
:
public
BaseActivationFunctor
<
T
>
{
template
<
typename
Device
,
typename
X
,
typename
Y
,
typename
dY
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Y
y
,
dY
dy
,
dX
dx
)
const
{
dx
.
device
(
d
)
=
dy
*
(
x
.
tanh
()
*
x
.
tanh
());
template
<
typename
Device
,
typename
X
,
typename
Out
,
typename
dOut
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Out
out
,
dOut
dout
,
dX
dx
)
const
{
dx
.
device
(
d
)
=
dout
*
(
x
.
tanh
()
*
x
.
tanh
());
}
};
...
...
@@ -210,11 +217,11 @@ struct HardShrinkFunctor : public BaseActivationFunctor<T> {
typename
BaseActivationFunctor
<
T
>::
AttrPair
GetAttrs
()
{
return
{{
"threshold"
,
&
threshold
}};
}
template
<
typename
Device
,
typename
X
,
typename
Y
>
void
operator
()(
Device
d
,
X
x
,
Y
y
)
const
{
template
<
typename
Device
,
typename
X
,
typename
Out
>
void
operator
()(
Device
d
,
X
x
,
Out
out
)
const
{
auto
temp1
=
(
x
<
static_cast
<
T
>
(
threshold
*
-
1
)).
template
cast
<
T
>().
eval
();
auto
temp2
=
(
x
>
static_cast
<
T
>
(
threshold
)).
template
cast
<
T
>().
eval
();
y
.
device
(
d
)
=
x
*
(
temp1
+
temp2
);
out
.
device
(
d
)
=
x
*
(
temp1
+
temp2
);
}
};
...
...
@@ -226,11 +233,12 @@ struct HardShrinkGradFunctor : public BaseActivationFunctor<T> {
return
{{
"threshold"
,
&
threshold
}};
}
template
<
typename
Device
,
typename
X
,
typename
Y
,
typename
dY
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Y
y
,
dY
dy
,
dX
dx
)
const
{
template
<
typename
Device
,
typename
X
,
typename
Out
,
typename
dOut
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Out
out
,
dOut
dout
,
dX
dx
)
const
{
auto
temp1
=
(
x
<
static_cast
<
T
>
(
threshold
*
-
1
)).
template
cast
<
T
>().
eval
();
auto
temp2
=
(
x
>
static_cast
<
T
>
(
threshold
)).
template
cast
<
T
>().
eval
();
dx
.
device
(
d
)
=
d
y
*
(
temp1
+
temp2
).
template
cast
<
T
>();
dx
.
device
(
d
)
=
d
out
*
(
temp1
+
temp2
).
template
cast
<
T
>();
}
};
...
...
@@ -243,12 +251,12 @@ struct SoftShrinkFunctor : public BaseActivationFunctor<T> {
return
{{
"lambda"
,
&
lambda
}};
}
template
<
typename
Device
,
typename
X
,
typename
Y
>
void
operator
()(
Device
d
,
X
x
,
Y
y
)
const
{
template
<
typename
Device
,
typename
X
,
typename
Out
>
void
operator
()(
Device
d
,
X
x
,
Out
out
)
const
{
auto
lambdaT
=
static_cast
<
T
>
(
lambda
);
auto
temp1
=
(
x
>
lambdaT
).
template
cast
<
T
>().
eval
();
auto
temp2
=
(
x
<
-
lambdaT
).
template
cast
<
T
>().
eval
();
y
.
device
(
d
)
=
temp1
*
(
x
-
lambdaT
)
+
temp2
*
(
x
+
lambdaT
);
out
.
device
(
d
)
=
temp1
*
(
x
-
lambdaT
)
+
temp2
*
(
x
+
lambdaT
);
}
};
...
...
@@ -258,46 +266,49 @@ struct SoftShrinkGradFunctor : public BaseActivationFunctor<T> {
typename
BaseActivationFunctor
<
T
>::
AttrPair
GetAttrs
()
{
return
{{
"lambda"
,
&
lambda
}};
}
template
<
typename
Device
,
typename
X
,
typename
Y
,
typename
dY
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Y
y
,
dY
dy
,
dX
dx
)
const
{
template
<
typename
Device
,
typename
X
,
typename
Out
,
typename
dOut
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Out
out
,
dOut
dout
,
dX
dx
)
const
{
auto
lambdaT
=
static_cast
<
T
>
(
lambda
);
auto
temp1
=
(
x
>
lambdaT
).
template
cast
<
T
>().
eval
();
auto
temp2
=
(
x
<
-
lambdaT
).
template
cast
<
T
>().
eval
();
dx
.
device
(
d
)
=
d
y
*
(
temp1
+
temp2
).
template
cast
<
T
>();
dx
.
device
(
d
)
=
d
out
*
(
temp1
+
temp2
).
template
cast
<
T
>();
}
};
// sqrt(x) = x^(1/2)
template
<
typename
T
>
struct
SqrtFunctor
:
public
BaseActivationFunctor
<
T
>
{
template
<
typename
Device
,
typename
X
,
typename
Y
>
void
operator
()(
Device
d
,
X
x
,
Y
y
)
const
{
y
.
device
(
d
)
=
x
.
sqrt
();
template
<
typename
Device
,
typename
X
,
typename
Out
>
void
operator
()(
Device
d
,
X
x
,
Out
out
)
const
{
out
.
device
(
d
)
=
x
.
sqrt
();
}
};
template
<
typename
T
>
struct
SqrtGradFunctor
:
public
BaseActivationFunctor
<
T
>
{
template
<
typename
Device
,
typename
X
,
typename
Y
,
typename
dY
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Y
y
,
dY
dy
,
dX
dx
)
const
{
const
Y
y_conj
=
Eigen
::
numext
::
conj
(
y
);
dx
.
device
(
d
)
=
static_cast
<
T
>
(
0.5
)
*
dy
/
y_conj
;
template
<
typename
Device
,
typename
X
,
typename
Out
,
typename
dOut
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Out
out
,
dOut
dout
,
dX
dx
)
const
{
const
Out
out_conj
=
Eigen
::
numext
::
conj
(
out
);
dx
.
device
(
d
)
=
static_cast
<
T
>
(
0.5
)
*
dout
/
out_conj
;
}
};
// ceil(x) = ceiling(x)
template
<
typename
T
>
struct
CeilFunctor
:
public
BaseActivationFunctor
<
T
>
{
template
<
typename
Device
,
typename
X
,
typename
Y
>
void
operator
()(
Device
d
,
X
x
,
Y
y
)
const
{
y
.
device
(
d
)
=
x
.
ceil
();
template
<
typename
Device
,
typename
X
,
typename
Out
>
void
operator
()(
Device
d
,
X
x
,
Out
out
)
const
{
out
.
device
(
d
)
=
x
.
ceil
();
}
};
template
<
typename
T
>
struct
ZeroGradFunctor
:
public
BaseActivationFunctor
<
T
>
{
template
<
typename
Device
,
typename
X
,
typename
Y
,
typename
dY
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Y
y
,
dY
dy
,
dX
dx
)
const
{
template
<
typename
Device
,
typename
X
,
typename
Out
,
typename
dOut
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Out
out
,
dOut
dout
,
dX
dx
)
const
{
dx
.
device
(
d
)
=
static_cast
<
T
>
(
0
)
/
x
;
}
};
...
...
@@ -305,86 +316,90 @@ struct ZeroGradFunctor : public BaseActivationFunctor<T> {
// floor(x) = flooring(x)
template
<
typename
T
>
struct
FloorFunctor
:
public
BaseActivationFunctor
<
T
>
{
template
<
typename
Device
,
typename
X
,
typename
Y
>
void
operator
()(
Device
d
,
X
x
,
Y
y
)
const
{
y
.
device
(
d
)
=
x
.
ceil
();
template
<
typename
Device
,
typename
X
,
typename
Out
>
void
operator
()(
Device
d
,
X
x
,
Out
out
)
const
{
out
.
device
(
d
)
=
x
.
ceil
();
}
};
// round(x) = [x]
template
<
typename
T
>
struct
RoundFunctor
:
public
BaseActivationFunctor
<
T
>
{
template
<
typename
Device
,
typename
X
,
typename
Y
>
void
operator
()(
Device
d
,
X
x
,
Y
y
)
const
{
y
.
device
(
d
)
=
x
.
round
();
template
<
typename
Device
,
typename
X
,
typename
Out
>
void
operator
()(
Device
d
,
X
x
,
Out
out
)
const
{
out
.
device
(
d
)
=
x
.
round
();
}
};
// abs(x) = |x|
template
<
typename
T
>
struct
AbsFunctor
:
public
BaseActivationFunctor
<
T
>
{
template
<
typename
Device
,
typename
X
,
typename
Y
>
void
operator
()(
Device
d
,
X
x
,
Y
y
)
const
{
y
.
device
(
d
)
=
x
.
abs
();
template
<
typename
Device
,
typename
X
,
typename
Out
>
void
operator
()(
Device
d
,
X
x
,
Out
out
)
const
{
out
.
device
(
d
)
=
x
.
abs
();
}
};
template
<
typename
T
>
struct
AbsGradFunctor
:
public
BaseActivationFunctor
<
T
>
{
template
<
typename
Device
,
typename
X
,
typename
Y
,
typename
dY
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Y
y
,
dY
dy
,
dX
dx
)
const
{
dx
.
device
(
d
)
=
dy
*
x
.
sign
();
template
<
typename
Device
,
typename
X
,
typename
Out
,
typename
dOut
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Out
out
,
dOut
dout
,
dX
dx
)
const
{
dx
.
device
(
d
)
=
dout
*
x
.
sign
();
}
};
// reciprocal(x) = 1 / x
template
<
typename
T
>
struct
ReciprocalFunctor
:
public
BaseActivationFunctor
<
T
>
{
template
<
typename
Device
,
typename
X
,
typename
Y
>
void
operator
()(
Device
d
,
X
x
,
Y
y
)
const
{
y
.
device
(
d
)
=
static_cast
<
T
>
(
1
)
/
x
;
template
<
typename
Device
,
typename
X
,
typename
Out
>
void
operator
()(
Device
d
,
X
x
,
Out
out
)
const
{
out
.
device
(
d
)
=
static_cast
<
T
>
(
1
)
/
x
;
}
};
template
<
typename
T
>
struct
ReciprocalGradFunctor
:
public
BaseActivationFunctor
<
T
>
{
template
<
typename
Device
,
typename
X
,
typename
Y
,
typename
dY
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Y
y
,
dY
dy
,
dX
dx
)
const
{
dx
.
device
(
d
)
=
dy
*
static_cast
<
T
>
(
-
1
)
*
y
*
y
;
template
<
typename
Device
,
typename
X
,
typename
Out
,
typename
dOut
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Out
out
,
dOut
dout
,
dX
dx
)
const
{
dx
.
device
(
d
)
=
dout
*
static_cast
<
T
>
(
-
1
)
*
out
*
out
;
}
};
// log(x) = natural logarithm of x
template
<
typename
T
>
struct
LogFunctor
:
public
BaseActivationFunctor
<
T
>
{
template
<
typename
Device
,
typename
X
,
typename
Y
>
void
operator
()(
Device
d
,
X
x
,
Y
y
)
const
{
y
.
device
(
d
)
=
x
.
log
();
template
<
typename
Device
,
typename
X
,
typename
Out
>
void
operator
()(
Device
d
,
X
x
,
Out
out
)
const
{
out
.
device
(
d
)
=
x
.
log
();
}
};
template
<
typename
T
>
struct
LogGradFunctor
:
public
BaseActivationFunctor
<
T
>
{
template
<
typename
Device
,
typename
X
,
typename
Y
,
typename
dY
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Y
y
,
dY
dy
,
dX
dx
)
const
{
dx
.
device
(
d
)
=
dy
*
(
static_cast
<
T
>
(
1
)
/
x
);
template
<
typename
Device
,
typename
X
,
typename
Out
,
typename
dOut
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Out
out
,
dOut
dout
,
dX
dx
)
const
{
dx
.
device
(
d
)
=
dout
*
(
static_cast
<
T
>
(
1
)
/
x
);
}
};
// square(x) = x^2
template
<
typename
T
>
struct
SquareFunctor
:
public
BaseActivationFunctor
<
T
>
{
template
<
typename
Device
,
typename
X
,
typename
Y
>
void
operator
()(
Device
d
,
X
x
,
Y
y
)
const
{
y
.
device
(
d
)
=
x
.
square
();
template
<
typename
Device
,
typename
X
,
typename
Out
>
void
operator
()(
Device
d
,
X
x
,
Out
out
)
const
{
out
.
device
(
d
)
=
x
.
square
();
}
};
template
<
typename
T
>
struct
SquareGradFunctor
:
public
BaseActivationFunctor
<
T
>
{
template
<
typename
Device
,
typename
X
,
typename
Y
,
typename
dY
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Y
y
,
dY
dy
,
dX
dx
)
const
{
dx
.
device
(
d
)
=
dy
*
static_cast
<
T
>
(
2
)
*
x
;
template
<
typename
Device
,
typename
X
,
typename
Out
,
typename
dOut
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Out
out
,
dOut
dout
,
dX
dx
)
const
{
dx
.
device
(
d
)
=
dout
*
static_cast
<
T
>
(
2
)
*
x
;
}
};
...
...
@@ -399,9 +414,9 @@ struct BReluFunctor : public BaseActivationFunctor<T> {
return
{{
"t_min"
,
&
t_min
},
{
"t_max"
,
&
t_max
}};
}
template
<
typename
Device
,
typename
X
,
typename
Y
>
void
operator
()(
Device
d
,
X
x
,
Y
y
)
const
{
y
.
device
(
d
)
=
template
<
typename
Device
,
typename
X
,
typename
Out
>
void
operator
()(
Device
d
,
X
x
,
Out
out
)
const
{
out
.
device
(
d
)
=
x
.
cwiseMax
(
static_cast
<
T
>
(
t_min
)).
cwiseMin
(
static_cast
<
T
>
(
t_max
));
}
};
...
...
@@ -413,9 +428,10 @@ struct BReluGradFunctor : public BaseActivationFunctor<T> {
typename
BaseActivationFunctor
<
T
>::
AttrPair
GetAttrs
()
{
return
{{
"t_min"
,
&
t_min
},
{
"t_max"
,
&
t_max
}};
}
template
<
typename
Device
,
typename
X
,
typename
Y
,
typename
dY
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Y
y
,
dY
dy
,
dX
dx
)
const
{
dx
.
device
(
d
)
=
dy
*
template
<
typename
Device
,
typename
X
,
typename
Out
,
typename
dOut
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Out
out
,
dOut
dout
,
dX
dx
)
const
{
dx
.
device
(
d
)
=
dout
*
((
x
>
static_cast
<
T
>
(
t_min
))
*
(
x
<
static_cast
<
T
>
(
t_max
)))
.
template
cast
<
T
>();
}
...
...
@@ -430,9 +446,9 @@ struct Relu6Functor : public BaseActivationFunctor<T> {
return
{{
"threshold"
,
&
threshold
}};
}
template
<
typename
Device
,
typename
X
,
typename
Y
>
void
operator
()(
Device
d
,
X
x
,
Y
y
)
const
{
y
.
device
(
d
)
=
template
<
typename
Device
,
typename
X
,
typename
Out
>
void
operator
()(
Device
d
,
X
x
,
Out
out
)
const
{
out
.
device
(
d
)
=
x
.
cwiseMax
(
static_cast
<
T
>
(
0
)).
cwiseMin
(
static_cast
<
T
>
(
threshold
));
}
};
...
...
@@ -443,9 +459,10 @@ struct Relu6GradFunctor : public BaseActivationFunctor<T> {
typename
BaseActivationFunctor
<
T
>::
AttrPair
GetAttrs
()
{
return
{{
"threshold"
,
&
threshold
}};
}
template
<
typename
Device
,
typename
X
,
typename
Y
,
typename
dY
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Y
y
,
dY
dy
,
dX
dx
)
const
{
dx
.
device
(
d
)
=
dy
*
template
<
typename
Device
,
typename
X
,
typename
Out
,
typename
dOut
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Out
out
,
dOut
dout
,
dX
dx
)
const
{
dx
.
device
(
d
)
=
dout
*
((
x
>
static_cast
<
T
>
(
0
))
*
(
x
<
static_cast
<
T
>
(
threshold
)))
.
template
cast
<
T
>();
}
...
...
@@ -458,10 +475,10 @@ struct Relu6GradFunctor : public BaseActivationFunctor<T> {
// Then: softplus(x) = max(x, 0) + log(exp(-max(x, 0)) + exp(x - max(x, 0)))
template
<
typename
T
>
struct
SoftplusFunctor
:
public
BaseActivationFunctor
<
T
>
{
template
<
typename
Device
,
typename
X
,
typename
Y
>
void
operator
()(
Device
d
,
X
x
,
Y
y
)
{
template
<
typename
Device
,
typename
X
,
typename
Out
>
void
operator
()(
Device
d
,
X
x
,
Out
out
)
{
auto
temp
=
x
.
cwiseMax
(
static_cast
<
T
>
(
0
));
// temp = max(x, 0)
y
.
device
(
d
)
=
temp
+
(((
-
temp
).
exp
()
+
(
x
-
temp
).
exp
()).
log
());
out
.
device
(
d
)
=
temp
+
(((
-
temp
).
exp
()
+
(
x
-
temp
).
exp
()).
log
());
}
};
...
...
@@ -471,19 +488,21 @@ struct SoftplusFunctor : public BaseActivationFunctor<T> {
// exp(x - max(x, 0)))
template
<
typename
T
>
struct
SoftplusGradFunctor
:
public
BaseActivationFunctor
<
T
>
{
template
<
typename
Device
,
typename
X
,
typename
Y
,
typename
dY
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Y
y
,
dY
dy
,
dX
dx
)
{
template
<
typename
Device
,
typename
X
,
typename
Out
,
typename
dOut
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Out
out
,
dOut
dout
,
dX
dx
)
{
auto
temp
=
x
.
cwiseMax
(
static_cast
<
T
>
(
0
));
// temp = max(x, 0)
dx
.
device
(
d
)
=
dy
*
((
x
-
temp
).
exp
()
/
((
-
temp
).
exp
()
+
(
x
-
temp
).
exp
()));
dx
.
device
(
d
)
=
dout
*
((
x
-
temp
).
exp
()
/
((
-
temp
).
exp
()
+
(
x
-
temp
).
exp
()));
}
};
// softsign(x) = x / (1 + |x|)
template
<
typename
T
>
struct
SoftsignFunctor
:
public
BaseActivationFunctor
<
T
>
{
template
<
typename
Device
,
typename
X
,
typename
Y
>
void
operator
()(
Device
d
,
X
x
,
Y
y
)
{
y
.
device
(
d
)
=
x
/
(
static_cast
<
T
>
(
1
)
+
x
.
abs
());
template
<
typename
Device
,
typename
X
,
typename
Out
>
void
operator
()(
Device
d
,
X
x
,
Out
out
)
{
out
.
device
(
d
)
=
x
/
(
static_cast
<
T
>
(
1
)
+
x
.
abs
());
}
};
...
...
@@ -491,10 +510,11 @@ struct SoftsignFunctor : public BaseActivationFunctor<T> {
// Taken from https://en.wikipedia.org/wiki/Activation_function
template
<
typename
T
>
struct
SoftsignGradFunctor
:
public
BaseActivationFunctor
<
T
>
{
template
<
typename
Device
,
typename
X
,
typename
Y
,
typename
dY
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Y
y
,
dY
dy
,
dX
dx
)
{
template
<
typename
Device
,
typename
X
,
typename
Out
,
typename
dOut
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Out
out
,
dOut
dout
,
dX
dx
)
{
dx
.
device
(
d
)
=
d
y
*
(
static_cast
<
T
>
(
1
)
/
(
static_cast
<
T
>
(
1
)
+
x
.
abs
()).
square
());
d
out
*
(
static_cast
<
T
>
(
1
)
/
(
static_cast
<
T
>
(
1
)
+
x
.
abs
()).
square
());
}
};
...
...
@@ -505,11 +525,11 @@ struct SoftReluFunctor : public BaseActivationFunctor<T> {
return
{{
"threshold"
,
&
threshold
}};
}
template
<
typename
Device
,
typename
X
,
typename
Y
>
void
operator
()(
Device
d
,
X
x
,
Y
y
)
const
{
template
<
typename
Device
,
typename
X
,
typename
Out
>
void
operator
()(
Device
d
,
X
x
,
Out
out
)
const
{
auto
tmp
=
static_cast
<
T
>
(
threshold
);
auto
temp
=
x
.
cwiseMax
(
-
tmp
).
cwiseMin
(
tmp
);
y
.
device
(
d
)
=
(
static_cast
<
T
>
(
1
)
+
temp
.
exp
()).
log
();
out
.
device
(
d
)
=
(
static_cast
<
T
>
(
1
)
+
temp
.
exp
()).
log
();
}
};
...
...
@@ -519,11 +539,12 @@ struct SoftReluGradFunctor : public BaseActivationFunctor<T> {
typename
BaseActivationFunctor
<
T
>::
AttrPair
GetAttrs
()
{
return
{{
"threshold"
,
&
threshold
}};
}
template
<
typename
Device
,
typename
X
,
typename
Y
,
typename
dY
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Y
y
,
dY
dy
,
dX
dx
)
const
{
template
<
typename
Device
,
typename
X
,
typename
Out
,
typename
dOut
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Out
out
,
dOut
dout
,
dX
dx
)
const
{
auto
tmp
=
static_cast
<
T
>
(
threshold
);
auto
temp
=
((
x
>
-
tmp
)
*
(
x
<
tmp
)).
template
cast
<
T
>().
eval
();
dx
.
device
(
d
)
=
d
y
*
(
static_cast
<
T
>
(
1
)
-
(
-
y
).
exp
())
*
temp
;
dx
.
device
(
d
)
=
d
out
*
(
static_cast
<
T
>
(
1
)
-
(
-
out
).
exp
())
*
temp
;
}
};
...
...
@@ -534,9 +555,9 @@ struct LeakyReluFunctor : public BaseActivationFunctor<T> {
return
{{
"alpha"
,
&
alpha
}};
}
template
<
typename
Device
,
typename
X
,
typename
Y
>
void
operator
()(
Device
d
,
X
x
,
Y
y
)
const
{
y
.
device
(
d
)
=
x
.
cwiseMax
(
static_cast
<
T
>
(
alpha
)
*
x
);
template
<
typename
Device
,
typename
X
,
typename
Out
>
void
operator
()(
Device
d
,
X
x
,
Out
out
)
const
{
out
.
device
(
d
)
=
x
.
cwiseMax
(
static_cast
<
T
>
(
alpha
)
*
x
);
}
};
...
...
@@ -546,12 +567,13 @@ struct LeakyReluGradFunctor : public BaseActivationFunctor<T> {
typename
BaseActivationFunctor
<
T
>::
AttrPair
GetAttrs
()
{
return
{{
"alpha"
,
&
alpha
}};
}
template
<
typename
Device
,
typename
X
,
typename
Y
,
typename
dY
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Y
y
,
dY
dy
,
dX
dx
)
const
{
template
<
typename
Device
,
typename
X
,
typename
Out
,
typename
dOut
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Out
out
,
dOut
dout
,
dX
dx
)
const
{
auto
temp1
=
static_cast
<
T
>
(
alpha
)
*
(
x
<
static_cast
<
T
>
(
0
)).
template
cast
<
T
>().
eval
();
auto
temp2
=
(
x
>=
static_cast
<
T
>
(
0
)).
template
cast
<
T
>().
eval
();
dx
.
device
(
d
)
=
d
y
*
(
temp1
+
temp2
).
template
cast
<
T
>();
dx
.
device
(
d
)
=
d
out
*
(
temp1
+
temp2
).
template
cast
<
T
>();
}
};
...
...
@@ -562,9 +584,9 @@ struct ELUFunctor : public BaseActivationFunctor<T> {
return
{{
"alpha"
,
&
alpha
}};
}
template
<
typename
Device
,
typename
X
,
typename
Y
>
void
operator
()(
Device
d
,
X
x
,
Y
y
)
const
{
y
.
device
(
d
)
=
x
.
cwiseMax
(
static_cast
<
T
>
(
0
))
+
template
<
typename
Device
,
typename
X
,
typename
Out
>
void
operator
()(
Device
d
,
X
x
,
Out
out
)
const
{
out
.
device
(
d
)
=
x
.
cwiseMax
(
static_cast
<
T
>
(
0
))
+
(
static_cast
<
T
>
(
alpha
)
*
(
x
.
exp
()
-
static_cast
<
T
>
(
1
)))
.
cwiseMin
(
static_cast
<
T
>
(
0
));
}
...
...
@@ -576,10 +598,11 @@ struct ELUGradFunctor : public BaseActivationFunctor<T> {
typename
BaseActivationFunctor
<
T
>::
AttrPair
GetAttrs
()
{
return
{{
"alpha"
,
&
alpha
}};
}
template
<
typename
Device
,
typename
X
,
typename
Y
,
typename
dY
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Y
y
,
dY
dy
,
dX
dx
)
const
{
dx
.
device
(
d
)
=
dy
*
(
x
>
static_cast
<
T
>
(
0
)).
template
cast
<
T
>()
+
dy
*
(
y
+
static_cast
<
T
>
(
alpha
))
*
template
<
typename
Device
,
typename
X
,
typename
Out
,
typename
dOut
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Out
out
,
dOut
dout
,
dX
dx
)
const
{
dx
.
device
(
d
)
=
dout
*
(
x
>
static_cast
<
T
>
(
0
)).
template
cast
<
T
>()
+
dout
*
(
out
+
static_cast
<
T
>
(
alpha
))
*
(
x
<
static_cast
<
T
>
(
0
)).
template
cast
<
T
>();
}
};
...
...
@@ -591,9 +614,9 @@ struct PowFunctor : public BaseActivationFunctor<T> {
typename
BaseActivationFunctor
<
T
>::
AttrPair
GetAttrs
()
{
return
{{
"factor"
,
&
factor
}};
}
template
<
typename
Device
,
typename
X
,
typename
Y
>
void
operator
()(
Device
d
,
X
x
,
Y
y
)
const
{
y
.
device
(
d
)
=
x
.
pow
(
static_cast
<
T
>
(
factor
));
template
<
typename
Device
,
typename
X
,
typename
Out
>
void
operator
()(
Device
d
,
X
x
,
Out
out
)
const
{
out
.
device
(
d
)
=
x
.
pow
(
static_cast
<
T
>
(
factor
));
}
};
...
...
@@ -603,9 +626,10 @@ struct PowGradFunctor : public BaseActivationFunctor<T> {
typename
BaseActivationFunctor
<
T
>::
AttrPair
GetAttrs
()
{
return
{{
"factor"
,
&
factor
}};
}
template
<
typename
Device
,
typename
X
,
typename
Y
,
typename
dY
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Y
y
,
dY
dy
,
dX
dx
)
const
{
dx
.
device
(
d
)
=
dy
*
static_cast
<
T
>
(
factor
)
*
template
<
typename
Device
,
typename
X
,
typename
Out
,
typename
dOut
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Out
out
,
dOut
dout
,
dX
dx
)
const
{
dx
.
device
(
d
)
=
dout
*
static_cast
<
T
>
(
factor
)
*
x
.
pow
(
static_cast
<
T
>
(
factor
-
static_cast
<
T
>
(
1
)));
}
};
...
...
@@ -618,9 +642,9 @@ struct STanhFunctor : public BaseActivationFunctor<T> {
return
{{
"scale_a"
,
&
scale_a
},
{
"scale_b"
,
&
scale_b
}};
}
template
<
typename
Device
,
typename
X
,
typename
Y
>
void
operator
()(
Device
d
,
X
x
,
Y
y
)
const
{
y
.
device
(
d
)
=
template
<
typename
Device
,
typename
X
,
typename
Out
>
void
operator
()(
Device
d
,
X
x
,
Out
out
)
const
{
out
.
device
(
d
)
=
static_cast
<
T
>
(
scale_b
)
*
(
static_cast
<
T
>
(
scale_a
)
*
x
).
tanh
();
}
};
...
...
@@ -633,12 +657,13 @@ struct STanhGradFunctor : public BaseActivationFunctor<T> {
return
{{
"scale_a"
,
&
scale_a
},
{
"scale_b"
,
&
scale_b
}};
}
template
<
typename
Device
,
typename
X
,
typename
Y
,
typename
dY
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Y
y
,
dY
dy
,
dX
dx
)
const
{
template
<
typename
Device
,
typename
X
,
typename
Out
,
typename
dOut
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Out
out
,
dOut
dout
,
dX
dx
)
const
{
auto
a
=
static_cast
<
T
>
(
scale_a
);
auto
b
=
static_cast
<
T
>
(
scale_b
);
auto
temp
=
(
a
*
x
).
tanh
()
*
(
a
*
x
).
tanh
();
dx
.
device
(
d
)
=
d
y
*
a
*
b
*
(
static_cast
<
T
>
(
1
)
-
temp
);
dx
.
device
(
d
)
=
d
out
*
a
*
b
*
(
static_cast
<
T
>
(
1
)
-
temp
);
}
};
...
...
@@ -649,10 +674,10 @@ struct ThresholdedReluFunctor : public BaseActivationFunctor<T> {
return
{{
"threshold"
,
&
threshold
}};
}
template
<
typename
Device
,
typename
X
,
typename
Y
>
void
operator
()(
Device
d
,
X
x
,
Y
y
)
const
{
template
<
typename
Device
,
typename
X
,
typename
Out
>
void
operator
()(
Device
d
,
X
x
,
Out
out
)
const
{
auto
th
=
static_cast
<
T
>
(
threshold
);
y
.
device
(
d
)
=
(
x
>
th
).
template
cast
<
T
>()
*
x
;
out
.
device
(
d
)
=
(
x
>
th
).
template
cast
<
T
>()
*
x
;
}
};
...
...
@@ -663,10 +688,11 @@ struct ThresholdedReluGradFunctor : public BaseActivationFunctor<T> {
return
{{
"threshold"
,
&
threshold
}};
}
template
<
typename
Device
,
typename
X
,
typename
Y
,
typename
dY
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Y
y
,
dY
dy
,
dX
dx
)
const
{
template
<
typename
Device
,
typename
X
,
typename
Out
,
typename
dOut
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Out
out
,
dOut
dout
,
dX
dx
)
const
{
auto
th
=
static_cast
<
T
>
(
threshold
);
dx
.
device
(
d
)
=
d
y
*
(
x
>
th
).
template
cast
<
T
>();
dx
.
device
(
d
)
=
d
out
*
(
x
>
th
).
template
cast
<
T
>();
}
};
...
...
@@ -678,10 +704,11 @@ struct HardSigmoidFunctor : public BaseActivationFunctor<T> {
return
{{
"slope"
,
&
slope
},
{
"offset"
,
&
offset
}};
}
template
<
typename
Device
,
typename
X
,
typename
Y
>
void
operator
()(
Device
d
,
X
x
,
Y
y
)
const
{
template
<
typename
Device
,
typename
X
,
typename
Out
>
void
operator
()(
Device
d
,
X
x
,
Out
out
)
const
{
auto
temp
=
x
*
static_cast
<
T
>
(
slope
)
+
static_cast
<
T
>
(
offset
);
y
.
device
(
d
)
=
temp
.
cwiseMax
(
static_cast
<
T
>
(
0
)).
cwiseMin
(
static_cast
<
T
>
(
1
));
out
.
device
(
d
)
=
temp
.
cwiseMax
(
static_cast
<
T
>
(
0
)).
cwiseMin
(
static_cast
<
T
>
(
1
));
}
};
...
...
@@ -693,11 +720,12 @@ struct HardSigmoidGradFunctor : public BaseActivationFunctor<T> {
return
{{
"slope"
,
&
slope
},
{
"offset"
,
&
offset
}};
}
template
<
typename
Device
,
typename
X
,
typename
Y
,
typename
dY
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Y
y
,
dY
dy
,
dX
dx
)
const
{
dx
.
device
(
d
)
=
dy
*
((
y
>
static_cast
<
T
>
(
0
))
*
(
y
<
static_cast
<
T
>
(
1
))).
template
cast
<
T
>()
*
template
<
typename
Device
,
typename
X
,
typename
Out
,
typename
dOut
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Out
out
,
dOut
dout
,
dX
dx
)
const
{
dx
.
device
(
d
)
=
dout
*
((
out
>
static_cast
<
T
>
(
0
))
*
(
out
<
static_cast
<
T
>
(
1
)))
.
template
cast
<
T
>()
*
static_cast
<
T
>
(
slope
);
}
};
...
...
@@ -709,9 +737,9 @@ struct SwishFunctor : public BaseActivationFunctor<T> {
return
{{
"beta"
,
&
beta
}};
}
template
<
typename
Device
,
typename
X
,
typename
Y
>
void
operator
()(
Device
d
,
X
x
,
Y
y
)
const
{
y
.
device
(
d
)
=
x
/
(
static_cast
<
T
>
(
1
)
+
(
static_cast
<
T
>
(
-
beta
)
*
x
).
exp
());
template
<
typename
Device
,
typename
X
,
typename
Out
>
void
operator
()(
Device
d
,
X
x
,
Out
out
)
const
{
out
.
device
(
d
)
=
x
/
(
static_cast
<
T
>
(
1
)
+
(
static_cast
<
T
>
(
-
beta
)
*
x
).
exp
());
}
};
...
...
@@ -722,12 +750,13 @@ struct SwishGradFunctor : public BaseActivationFunctor<T> {
return
{{
"beta"
,
&
beta
}};
}
template
<
typename
Device
,
typename
X
,
typename
Y
,
typename
dY
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Y
y
,
dY
dy
,
dX
dx
)
const
{
template
<
typename
Device
,
typename
X
,
typename
Out
,
typename
dOut
,
typename
dX
>
void
operator
()(
Device
d
,
X
x
,
Out
out
,
dOut
dout
,
dX
dx
)
const
{
auto
temp1
=
static_cast
<
T
>
(
1
)
/
(
static_cast
<
T
>
(
1
)
+
(
static_cast
<
T
>
(
-
beta
)
*
x
).
exp
());
auto
temp2
=
temp1
*
(
static_cast
<
T
>
(
1
)
-
(
beta
*
y
));
dx
.
device
(
d
)
=
d
y
*
((
beta
*
y
)
+
temp2
);
auto
temp2
=
temp1
*
(
static_cast
<
T
>
(
1
)
-
(
beta
*
out
));
dx
.
device
(
d
)
=
d
out
*
((
beta
*
out
)
+
temp2
);
}
};
...
...
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