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pytensor
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a5604ec8
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a5604ec8
authored
8月 05, 2015
作者:
Iban Harlouchet
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numpydoc for theano/tensor/elemwise.py
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elemwise.py
theano/tensor/elemwise.py
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theano/tensor/elemwise.py
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a5604ec8
...
@@ -62,7 +62,30 @@ class DimShuffle(Op):
...
@@ -62,7 +62,30 @@ class DimShuffle(Op):
dimension and a numerical index represents the dimension of the same
dimension and a numerical index represents the dimension of the same
rank in the tensor passed to perform.
rank in the tensor passed to perform.
Examples:
Parameters
----------
input_broadcastable
The expected broadcastable pattern of the input
new_order
A list representing the relationship between the input's
dimensions and the output's dimensions. Each element of the
list can either be an index or 'x'. Indices must be encoded
as python integers, not theano symbolic integers.
inplace : bool, optional
If True, the output will be a view of the input.
If False (default), the output will be a copy of the input.
If j = new_order[i] is an index, the output's ith dimension
will be the input's jth dimension.
If new_order[i] is 'x', the output's ith dimension will
be 1 and Broadcast operations will be allowed to do broadcasting
over that dimension.
If input.broadcastable[i] == False then i must be found in new_order.
Broadcastable dimensions, on the other hand, can be discarded.
Examples
--------
DimShuffle((False, False, False), ['x', 2, 'x', 0, 1])
DimShuffle((False, False, False), ['x', 2, 'x', 0, 1])
This op will only work on 3d tensors with no broadcastable
This op will only work on 3d tensors with no broadcastable
...
@@ -81,7 +104,7 @@ class DimShuffle(Op):
...
@@ -81,7 +104,7 @@ class DimShuffle(Op):
If the tensor has shape (1, 20), the resulting tensor will have shape
If the tensor has shape (1, 20), the resulting tensor will have shape
(20, ).
(20, ).
More examples:
More examples
:
DimShuffle((), ['x']) -> make a 0d (scalar) into a 1d vector
DimShuffle((), ['x']) -> make a 0d (scalar) into a 1d vector
DimShuffle((False, False), [0, 1]) -> identity
DimShuffle((False, False), [0, 1]) -> identity
DimShuffle((False, False), [1, 0]) -> inverts the 1st and 2nd dimensions
DimShuffle((False, False), [1, 0]) -> inverts the 1st and 2nd dimensions
...
@@ -96,33 +119,13 @@ class DimShuffle(Op):
...
@@ -96,33 +119,13 @@ class DimShuffle(Op):
The reordering of the dimensions can be done in numpy with the
The reordering of the dimensions can be done in numpy with the
transpose function.
transpose function.
Adding, subtracting dimensions can be done with reshape.
Adding, subtracting dimensions can be done with reshape.
"""
"""
_f16_ok
=
True
_f16_ok
=
True
check_input
=
False
check_input
=
False
def
__init__
(
self
,
input_broadcastable
,
new_order
,
inplace
=
False
):
def
__init__
(
self
,
input_broadcastable
,
new_order
,
inplace
=
False
):
"""
Usage: DimShuffle(input_broadcastable, new_order, inplace = False)
- input_broadcastable: the expected broadcastable pattern of the
input
- new_order: a list representing the relationship between the
input's dimensions and the output's dimensions. Each
element of the list can either be an index or 'x'.
Indices must be encoded as python integers, not
theano symbolic integers.
- inplace: if True, the output will be a view of the input.
If False, the output will be a copy of the input.
If j = new_order[i] is an index, the output's ith dimension
will be the input's jth dimension.
If new_order[i] is 'x', the output's ith dimension will
be 1 and Broadcast operations will be allowed to do broadcasting
over that dimension.
If input.broadcastable[i] == False then i must be found in new_order.
Broadcastable dimensions, on the other hand, can be discarded.
"""
input_broadcastable
=
tuple
(
input_broadcastable
)
input_broadcastable
=
tuple
(
input_broadcastable
)
self
.
input_broadcastable
=
input_broadcastable
self
.
input_broadcastable
=
input_broadcastable
new_order
=
tuple
(
new_order
)
new_order
=
tuple
(
new_order
)
...
@@ -456,7 +459,26 @@ class Elemwise(OpenMPOp):
...
@@ -456,7 +459,26 @@ class Elemwise(OpenMPOp):
be the same as the corresponding input type (see the doc of
be the same as the corresponding input type (see the doc of
scalar.ScalarOp to get help about controlling the output type)
scalar.ScalarOp to get help about controlling the output type)
Examples:
Parameteres
-----------
scalar_op
An instance of a subclass of scalar.ScalarOp which works uniquely
on scalars.
inplace_pattern
A dictionary that maps the index of an output to the
index of an input so the output is calculated inplace using
the input's storage. (Just like destroymap, but without the lists.)
nfunc_spec
Either None or a tuple of three elements,
(nfunc_name, nin, nout) such that getattr(numpy, nfunc_name)
implements this operation, takes nin inputs and nout outputs.
Note that nin cannot always be inferred from the scalar op's
own nin field because that value is sometimes 0 (meaning a
variable number of inputs), whereas the numpy function may
not have varargs.
Examples
--------
Elemwise(add) # represents + on tensors (x + y)
Elemwise(add) # represents + on tensors (x + y)
Elemwise(add, {0 : 0}) # represents the += operation (x += y)
Elemwise(add, {0 : 0}) # represents the += operation (x += y)
Elemwise(add, {0 : 1}) # represents += on the second argument (y += x)
Elemwise(add, {0 : 1}) # represents += on the second argument (y += x)
...
@@ -466,26 +488,11 @@ class Elemwise(OpenMPOp):
...
@@ -466,26 +488,11 @@ class Elemwise(OpenMPOp):
# second dimension
# second dimension
Elemwise(int_div)(rand(1, 5), rand(10, 1)) # the output has size (10, 5)
Elemwise(int_div)(rand(1, 5), rand(10, 1)) # the output has size (10, 5)
Elemwise(log)(rand(3, 4, 5))
Elemwise(log)(rand(3, 4, 5))
"""
"""
def
__init__
(
self
,
scalar_op
,
inplace_pattern
=
None
,
name
=
None
,
def
__init__
(
self
,
scalar_op
,
inplace_pattern
=
None
,
name
=
None
,
nfunc_spec
=
None
,
openmp
=
None
):
nfunc_spec
=
None
,
openmp
=
None
):
"""
Usage: Elemwise(scalar_op, inplace_pattern = {})
* scalar_op: an instance of a subclass of scalar.ScalarOp which works
uniquely on scalars
* inplace_pattern: a dictionary that maps the index of an output to the
index of an input so the output is calculated inplace using
the input's storage. (Just like destroymap, but without the lists.)
* nfunc_spec: either None or a tuple of three elements,
(nfunc_name, nin, nout) such that getattr(numpy, nfunc_name)
implements this operation, takes nin inputs and nout outputs.
Note that nin cannot always be inferred from the scalar op's
own nin field because that value is sometimes 0 (meaning a
variable number of inputs), whereas the numpy function may
not have varargs.
"""
if
inplace_pattern
is
None
:
if
inplace_pattern
is
None
:
inplace_pattern
=
{}
inplace_pattern
=
{}
self
.
name
=
name
self
.
name
=
name
...
@@ -1252,7 +1259,18 @@ class CAReduce(Op):
...
@@ -1252,7 +1259,18 @@ class CAReduce(Op):
dimensions. It will contain the variable of accumulating all values
dimensions. It will contain the variable of accumulating all values
over the reduced dimensions using the specified scalar op.
over the reduced dimensions using the specified scalar op.
Examples:
Parameters
----------
scalar_op
A binary scalar op with only one output.
It must be commutative and associative.
axis
- The dimension along which we want to reduce
- List of dimensions that we want to reduce
- If None, all dimensions are reduced
Examples
--------
CAReduce(add) -> sum (ie, acts like the numpy sum operation)
CAReduce(add) -> sum (ie, acts like the numpy sum operation)
CAReduce(mul) -> product
CAReduce(mul) -> product
CAReduce(maximum) -> max
CAReduce(maximum) -> max
...
@@ -1270,18 +1288,10 @@ class CAReduce(Op):
...
@@ -1270,18 +1288,10 @@ class CAReduce(Op):
operation represented by the reduction must be both commutative
operation represented by the reduction must be both commutative
and associative (eg add, multiply, maximum, binary or/and/xor - but not
and associative (eg add, multiply, maximum, binary or/and/xor - but not
subtract, divide or power).
subtract, divide or power).
"""
def
__init__
(
self
,
scalar_op
,
axis
=
None
):
"""
"""
Usage: CAReduce(scalar_op, axis = None)
* scalar_op: a binary scalar op with only one output.
def
__init__
(
self
,
scalar_op
,
axis
=
None
):
It must be commutative and associative.
* axis: - the dimension along which we want to reduce
- list of dimensions that we want to reduce
- if None, all dimensions are reduced
"""
if
scalar_op
.
nin
not
in
[
-
1
,
2
]
or
scalar_op
.
nout
!=
1
:
if
scalar_op
.
nin
not
in
[
-
1
,
2
]
or
scalar_op
.
nout
!=
1
:
raise
NotImplementedError
((
raise
NotImplementedError
((
"CAReduce only supports binary functions with a single "
"CAReduce only supports binary functions with a single "
...
@@ -1656,8 +1666,10 @@ class All(CAReduce):
...
@@ -1656,8 +1666,10 @@ class All(CAReduce):
""" Applies `bitwise and` to all the values of a tensor along the
""" Applies `bitwise and` to all the values of a tensor along the
specified axis(es).
specified axis(es).
Equivalent to CAReduce(scalar.and_, axis=axis)
Equivalent to CAReduce(scalar.and_, axis=axis).
"""
"""
def
__init__
(
self
,
axis
=
None
):
def
__init__
(
self
,
axis
=
None
):
CAReduce
.
__init__
(
self
,
scalar
.
and_
,
axis
)
CAReduce
.
__init__
(
self
,
scalar
.
and_
,
axis
)
...
@@ -1686,8 +1698,10 @@ class Any(CAReduce):
...
@@ -1686,8 +1698,10 @@ class Any(CAReduce):
""" Applies `bitwise or` to all the values of a tensor along the
""" Applies `bitwise or` to all the values of a tensor along the
specified axis(es).
specified axis(es).
Equivalent to CAReduce(scalar.or_, axis=axis)
Equivalent to CAReduce(scalar.or_, axis=axis).
"""
"""
def
__init__
(
self
,
axis
=
None
):
def
__init__
(
self
,
axis
=
None
):
CAReduce
.
__init__
(
self
,
scalar
.
or_
,
axis
)
CAReduce
.
__init__
(
self
,
scalar
.
or_
,
axis
)
...
@@ -1727,22 +1741,21 @@ class CAReduceDtype(CAReduce):
...
@@ -1727,22 +1741,21 @@ class CAReduceDtype(CAReduce):
If no dtype is provided, one will be inferred so as not to lose
If no dtype is provided, one will be inferred so as not to lose
too much precision.
too much precision.
"""
def
__init__
(
self
,
scalar_op
,
axis
=
None
,
dtype
=
None
,
acc_dtype
=
None
):
Parameters
"""
----------
Usage: CAReduceDtype(scalar_op, axis=None, dtype=None, acc_dtype=None)
scalar_op
A binary scalar op with only one output.
:param scalar_op: a binary scalar op with only one output.
It must be commutative and associative.
It must be commutative and associative.
:param axis: - the dimension along which we want to reduce
axis
- the dimension along which we want to reduce
- list of dimensions that we want to reduce
- list of dimensions that we want to reduce
- if None, all dimensions are reduced
- if None, all dimensions are reduced
:param dtype: The dtype of the returned
dtype
tensor. If None, then we use the default dtype which is the same
The dtype of the returned tensor. If None, then we use the default
as the input tensor's dtype except when:
dtype which is the same
as the input tensor's dtype except when:
- the input dtype is a signed integer of precision < 64 bit, in
- the input dtype is a signed integer of precision < 64 bit, in
which case we use int64
which case we use int64
- the input dtype is an unsigned integer of precision < 64 bit, in
- the input dtype is an unsigned integer of precision < 64 bit, in
...
@@ -1752,7 +1765,8 @@ class CAReduceDtype(CAReduce):
...
@@ -1752,7 +1765,8 @@ class CAReduceDtype(CAReduce):
uses the default machine integer while we always use 64 bit
uses the default machine integer while we always use 64 bit
integers to avoid platform-dependent behavior).
integers to avoid platform-dependent behavior).
:param acc_dtype: The dtype of the internal accumulator.
acc_dtype
The dtype of the internal accumulator.
If None (default), we use the dtype in the list below,
If None (default), we use the dtype in the list below,
or the input dtype if its precision is higher:
or the input dtype if its precision is higher:
- for int dtypes, we use at least int64;
- for int dtypes, we use at least int64;
...
@@ -1761,6 +1775,8 @@ class CAReduceDtype(CAReduce):
...
@@ -1761,6 +1775,8 @@ class CAReduceDtype(CAReduce):
- for complex dtypes, we use at least complex128.
- for complex dtypes, we use at least complex128.
"""
"""
def
__init__
(
self
,
scalar_op
,
axis
=
None
,
dtype
=
None
,
acc_dtype
=
None
):
CAReduce
.
__init__
(
self
,
scalar_op
,
axis
=
axis
)
CAReduce
.
__init__
(
self
,
scalar_op
,
axis
=
axis
)
self
.
dtype
=
dtype
self
.
dtype
=
dtype
self
.
acc_dtype
=
acc_dtype
self
.
acc_dtype
=
acc_dtype
...
@@ -1888,17 +1904,16 @@ class Sum(CAReduceDtype):
...
@@ -1888,17 +1904,16 @@ class Sum(CAReduceDtype):
Equivalent to CAReduceDtype(scalar.add, axis=axis, dtype=dtype),
Equivalent to CAReduceDtype(scalar.add, axis=axis, dtype=dtype),
with the difference that this defines the gradient of sum wrt its
with the difference that this defines the gradient of sum wrt its
tensor input.
tensor input.
"""
def
__init__
(
self
,
axis
=
None
,
dtype
=
None
,
acc_dtype
=
None
):
"""
Constructor.
:param axis: Axis(es) along which the tensor should be summed
Parameters
----------
axis
Axis(es) along which the tensor should be summed
(use None to sum over all axes, and a list or tuple to sum along more
(use None to sum over all axes, and a list or tuple to sum along more
than one axis).
than one axis).
:param dtype: The dtype of the internal accumulator and returned
dtype
The dtype of the internal accumulator and returned
tensor. If None, then we use the default dtype which is the same as the
tensor. If None, then we use the default dtype which is the same as the
input tensor's dtype except when:
input tensor's dtype except when:
- the input dtype is a signed integer of precision < 64 bit, in
- the input dtype is a signed integer of precision < 64 bit, in
...
@@ -1907,14 +1922,18 @@ class Sum(CAReduceDtype):
...
@@ -1907,14 +1922,18 @@ class Sum(CAReduceDtype):
which case we use uint64
which case we use uint64
This value does not depend on the value of "acc_dtype".
This value does not depend on the value of "acc_dtype".
:param acc_dtype: The dtype of the internal accumulator.
acc_dtype
The dtype of the internal accumulator.
If None (default), we use the dtype in the list below,
If None (default), we use the dtype in the list below,
or the input dtype if its precision is higher:
or the input dtype if its precision is higher:
- for int dtypes, we use at least int64;
- for int dtypes, we use at least int64;
- for uint dtypes, we use at least uint64;
- for uint dtypes, we use at least uint64;
- for float dtypes, we use at least float64;
- for float dtypes, we use at least float64;
- for complex dtypes, we use at least complex128.
- for complex dtypes, we use at least complex128.
"""
"""
def
__init__
(
self
,
axis
=
None
,
dtype
=
None
,
acc_dtype
=
None
):
CAReduceDtype
.
__init__
(
self
,
scalar
.
add
,
axis
=
axis
,
CAReduceDtype
.
__init__
(
self
,
scalar
.
add
,
axis
=
axis
,
dtype
=
dtype
,
acc_dtype
=
acc_dtype
)
dtype
=
dtype
,
acc_dtype
=
acc_dtype
)
...
@@ -1960,7 +1979,9 @@ class Prod(CAReduceDtype):
...
@@ -1960,7 +1979,9 @@ class Prod(CAReduceDtype):
Equivalent to CAReduce(scalar.prod, axis = axis), with the
Equivalent to CAReduce(scalar.prod, axis = axis), with the
difference that this defines the gradient of prod wrt its tensor
difference that this defines the gradient of prod wrt its tensor
input.
input.
"""
"""
def
__init__
(
self
,
axis
=
None
,
dtype
=
None
,
acc_dtype
=
None
,
def
__init__
(
self
,
axis
=
None
,
dtype
=
None
,
acc_dtype
=
None
,
no_zeros_in_input
=
False
):
no_zeros_in_input
=
False
):
CAReduceDtype
.
__init__
(
self
,
scalar
.
mul
,
axis
=
axis
,
CAReduceDtype
.
__init__
(
self
,
scalar
.
mul
,
axis
=
axis
,
...
@@ -1982,7 +2003,7 @@ class Prod(CAReduceDtype):
...
@@ -1982,7 +2003,7 @@ class Prod(CAReduceDtype):
hash
(
self
.
no_zeros_in_input
))
hash
(
self
.
no_zeros_in_input
))
def
grad
(
self
,
inp
,
grads
):
def
grad
(
self
,
inp
,
grads
):
'''
"""
The grad of this Op could be very easy, if it is was not for the case
The grad of this Op could be very easy, if it is was not for the case
where zeros are present in a given "group" (ie. elements reduced
where zeros are present in a given "group" (ie. elements reduced
together to form the product).
together to form the product).
...
@@ -2026,7 +2047,8 @@ class Prod(CAReduceDtype):
...
@@ -2026,7 +2047,8 @@ class Prod(CAReduceDtype):
I do this by first counting the number of zeros in each group (see
I do this by first counting the number of zeros in each group (see
the "T.eq()" bits), then taking this or that behavior (see T.switch)
the "T.eq()" bits), then taking this or that behavior (see T.switch)
based on the result of this count.
based on the result of this count.
'''
"""
prod_in
,
=
inp
prod_in
,
=
inp
gz
,
=
grads
gz
,
=
grads
...
...
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