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testgroup
pytensor
Commits
3a857acb
提交
3a857acb
authored
8月 28, 2012
作者:
Ian Goodfellow
浏览文件
操作
浏览文件
下载
电子邮件补丁
差异文件
changed from marking variables directly to making a dictionary mapping
variables to marks
上级
fb9cb2f3
隐藏空白字符变更
内嵌
并排
正在显示
1 个修改的文件
包含
190 行增加
和
202 行删除
+190
-202
gradient.py
theano/gradient.py
+190
-202
没有找到文件。
theano/gradient.py
浏览文件 @
3a857acb
...
...
@@ -481,120 +481,116 @@ def grad(cost, wrt, g_cost = None, consider_constant = None, warn_type = 'ignore
if
not
using_list
and
not
using_tuple
:
wrt
=
[
wrt
]
#
set of variables that has had children added to it
marked
=
set
([])
#
var_to_node_to_idx[var][node] = i means node has var as input at position i
var_to_node_to_idx
=
{}
#set of variables that have been added to their parents
accounted_for
=
set
([])
#use a try/finally to make sure we don't leave any marks
#on the variables
try
:
#mark the variables in the relevant subgraph with
#a dictionary called chidlren
#var._children[node] gives the index of var in _children.inputs
def
account_for
(
var
):
if
var
in
accounted_for
:
return
accounted_for
.
add
(
var
)
if
var
.
owner
is
not
None
:
node
=
var
.
owner
for
i
,
ipt
in
enumerate
(
node
.
inputs
):
if
not
hasattr
(
ipt
,
'_children'
):
marked
.
add
(
ipt
)
ipt
.
_children
=
{}
if
node
not
in
ipt
.
_children
:
ipt
.
_children
[
node
]
=
i
account_for
(
ipt
)
account_for
(
cost
)
#build a dict mapping var to the gradient of cost with respect to var
grad_dict
=
{}
#by default, the gradient of the cost is 1
if
g_cost
is
None
:
g_cost
=
tensor
.
ones_like
(
cost
)
grad_dict
[
cost
]
=
g_cost
#the gradient of the constants is 0
for
const
in
consider_constant
:
grad_dict
[
const
]
=
tensor
.
zeros_like
(
const
)
#variables that do not influence the cost have zero gradient.
#if wrt is such a varibale, populate the grad_dict with this info
#so that wrt not having _children won't cause an error below
#according to the flag, possibly raise an error if wrt is disconnected
for
elem
in
wrt
:
if
elem
not
in
marked
and
elem
is
not
cost
:
message
=
(
"grad method was asked to compute the gradient "
"with respect to a variable that is not part of "
"the computational graph of the cost, or is used "
"only by a non-differentiable operator:
%
s"
%
elem
)
if
disconnected_inputs
==
'ignore'
:
pass
elif
disconnected_inputs
==
'warn'
:
warnings
.
warn
(
message
,
stacklevel
=
1
)
elif
disconnected_inputs
==
'raise'
:
raise
ValueError
(
message
)
else
:
raise
ValueError
(
"Invalid value for keyword "
"'disconnected_inputs', valid values are "
"'ignore', 'warn' and 'raise'."
)
grad_dict
[
elem
]
=
elem
.
zeros_like
()
#build a dict mapping node to the terms node contributes to each of its inputs' gradients
term_dict
=
{}
#populate term_dict[node] and return it
def
access_term_cache
(
node
):
if
node
not
in
term_dict
:
#must convert to list in case the op returns a tuple
#we won't be able to post-process out the Nones if it does that
term_dict
[
node
]
=
list
(
node
.
op
.
grad
(
node
.
inputs
,
[
access_grad_cache
(
var
)
for
var
in
node
.
outputs
]))
for
i
in
xrange
(
len
(
term_dict
[
node
])):
if
term_dict
[
node
][
i
]
is
None
:
term_dict
[
node
][
i
]
=
tensor
.
zeros_like
(
node
.
inputs
[
i
])
return
term_dict
[
node
]
#built-in python sum adds an extraneous TensorConstant(0)
#we can exploit the knowledge that iterable always has at
#least one element to avoid starting the sum at 0
def
nonempty_sum
(
iterable
):
rval
=
iterable
[
0
]
for
elem
in
iterable
[
1
:]:
rval
=
rval
+
elem
return
rval
#mark the variables in the relevant subgraph with
#a dictionary called chidlren
#var._children[node] gives the index of var in _children.inputs
def
account_for
(
var
):
if
var
in
accounted_for
:
return
accounted_for
.
add
(
var
)
if
var
.
owner
is
not
None
:
node
=
var
.
owner
for
i
,
ipt
in
enumerate
(
node
.
inputs
):
if
ipt
not
in
var_to_node_to_idx
:
var_to_node_to_idx
[
ipt
]
=
{}
var_to_node_to_idx
[
ipt
][
node
]
=
i
account_for
(
ipt
)
account_for
(
cost
)
#build a dict mapping var to the gradient of cost with respect to var
grad_dict
=
{}
#by default, the gradient of the cost is 1
if
g_cost
is
None
:
g_cost
=
tensor
.
ones_like
(
cost
)
grad_dict
[
cost
]
=
g_cost
#the gradient of the constants is 0
for
const
in
consider_constant
:
grad_dict
[
const
]
=
tensor
.
zeros_like
(
const
)
#variables that do not influence the cost have zero gradient.
#if wrt is such a variable, populate the grad_dict with this info
#so that wrt not being in var_to_node_to_idx won't cause an error below
#according to the flag, possibly raise an error if wrt is disconnected
for
elem
in
wrt
:
if
elem
not
in
var_to_node_to_idx
and
elem
is
not
cost
:
message
=
(
"grad method was asked to compute the gradient "
"with respect to a variable that is not part of "
"the computational graph of the cost, or is used "
"only by a non-differentiable operator:
%
s"
%
elem
)
if
disconnected_inputs
==
'ignore'
:
pass
elif
disconnected_inputs
==
'warn'
:
warnings
.
warn
(
message
,
stacklevel
=
1
)
elif
disconnected_inputs
==
'raise'
:
raise
ValueError
(
message
)
else
:
raise
ValueError
(
"Invalid value for keyword "
"'disconnected_inputs', valid values are "
"'ignore', 'warn' and 'raise'."
)
grad_dict
[
elem
]
=
elem
.
zeros_like
()
#populate grad_dict[var] and return it
def
access_grad_cache
(
var
):
if
var
not
in
grad_dict
:
if
hasattr
(
var
,
'_children'
):
terms
=
[]
for
child
in
var
.
_children
.
keys
():
idx
=
var
.
_children
[
child
]
term
=
access_term_cache
(
child
)[
idx
]
if
isinstance
(
term
.
type
,
NaNType
):
raise
TypeError
(
"tensor.grad encountered a NaN. "
+
\
term
.
type
.
why_nan
)
terms
.
append
(
term
)
grad_dict
[
var
]
=
nonempty_sum
(
terms
)
if
cost
.
name
is
not
None
and
var
.
name
is
not
None
:
grad_dict
[
var
]
.
name
=
'(d
%
s/d
%
s)'
%
(
cost
.
name
,
var
.
name
)
else
:
#this variable is not connected to the cost in the computational
#graph so the gradient on it is zero
grad_dict
[
var
]
=
tensor
.
zeros_like
(
var
)
return
grad_dict
[
var
]
#build a dict mapping node to the terms node contributes to each of its inputs' gradients
term_dict
=
{}
#populate term_dict[node] and return it
def
access_term_cache
(
node
):
if
node
not
in
term_dict
:
inputs
=
node
.
inputs
output_grads
=
[
access_grad_cache
(
var
)
for
var
in
node
.
outputs
]
input_grads
=
node
.
op
.
grad
(
inputs
,
output_grads
)
#must convert to list in case the op returns a tuple
#we won't be able to post-process out the Nones if it does that
term_dict
[
node
]
=
list
(
input_grads
)
for
i
in
xrange
(
len
(
term_dict
[
node
])):
if
term_dict
[
node
][
i
]
is
None
:
term_dict
[
node
][
i
]
=
tensor
.
zeros_like
(
node
.
inputs
[
i
])
return
term_dict
[
node
]
#built-in python sum adds an extraneous TensorConstant(0)
#we can exploit the knowledge that iterable always has at
#least one element to avoid starting the sum at 0
def
nonempty_sum
(
iterable
):
rval
=
iterable
[
0
]
for
elem
in
iterable
[
1
:]:
rval
=
rval
+
elem
return
rval
#populate grad_dict[var] and return it
def
access_grad_cache
(
var
):
if
var
not
in
grad_dict
:
if
var
in
var_to_node_to_idx
:
terms
=
[]
node_to_idx
=
var_to_node_to_idx
[
var
]
for
node
in
node_to_idx
:
idx
=
node_to_idx
[
node
]
term
=
access_term_cache
(
node
)[
idx
]
if
isinstance
(
term
.
type
,
NaNType
):
raise
TypeError
(
"tensor.grad encountered a NaN. "
+
\
term
.
type
.
why_nan
)
terms
.
append
(
term
)
grad_dict
[
var
]
=
nonempty_sum
(
terms
)
if
cost
.
name
is
not
None
and
var
.
name
is
not
None
:
grad_dict
[
var
]
.
name
=
'(d
%
s/d
%
s)'
%
(
cost
.
name
,
var
.
name
)
else
:
#this variable is not connected to the cost in the computational
#graph so the gradient on it is zero
grad_dict
[
var
]
=
tensor
.
zeros_like
(
var
)
return
grad_dict
[
var
]
rval
=
[
access_grad_cache
(
elem
)
for
elem
in
wrt
]
finally
:
#take the marks out
for
node
in
marked
:
del
node
.
_children
rval
=
[
access_grad_cache
(
elem
)
for
elem
in
wrt
]
if
using_tuple
:
rval
=
tuple
(
rval
)
...
...
@@ -614,105 +610,95 @@ def grad_sources_inputs(sources, graph_inputs, warn_type = 'ignored'):
wrt
=
graph_inputs
#
set of variables that has had children added to it
marked
=
set
([])
#
var_to_node_to_idx[var][node] = i means node has var as input at position i
var_to_node_to_idx
=
{}
#set of variables that have been added to their parents
accounted_for
=
set
([])
#use a try/finally to make sure we don't leave any marks
#on the variables
try
:
#mark the variables in the relevant subgraph with
#a dictionary called chidlren
#var._children[node] gives the index of var in _children.inputs
def
account_for
(
var
):
if
var
in
accounted_for
:
return
accounted_for
.
add
(
var
)
if
var
.
owner
is
not
None
:
node
=
var
.
owner
for
i
,
ipt
in
enumerate
(
node
.
inputs
):
if
not
hasattr
(
ipt
,
'_children'
):
marked
.
add
(
ipt
)
ipt
.
_children
=
{}
if
node
not
in
ipt
.
_children
:
ipt
.
_children
[
node
]
=
i
account_for
(
ipt
)
for
output
in
outputs
:
account_for
(
output
)
#build a dict mapping var to the gradient of cost with respect to var
grad_dict
=
{}
#by default, the gradient of the cost is 1
for
output
,
output_grad
in
sources
:
grad_dict
[
output
]
=
output_grad
#variables that do not influence the cost have zero gradient.
#if wrt is such a varibale, populate the grad_dict with this info
#so that wrt not having _children won't cause an error below
#according to the flag, possibly raise an error if wrt is disconnected
for
elem
in
wrt
:
if
elem
not
in
marked
and
elem
not
in
outputs
:
message
=
(
"grad method was asked to compute the gradient "
"with respect to a variable that is not part of "
"the computational graph of the cost, or is used "
"only by a non-differentiable operator:
%
s"
%
elem
)
#raise ValueError(message)
grad_dict
[
elem
]
=
elem
.
zeros_like
()
#build a dict mapping node to the terms node contributes to each of its inputs' gradients
term_dict
=
{}
#populate term_dict[node] and return it
def
access_term_cache
(
node
):
if
node
not
in
term_dict
:
#must convert to list in case the op returns a tuple
#we won't be able to post-process out the Nones if it does that
term_dict
[
node
]
=
list
(
node
.
op
.
grad
(
node
.
inputs
,
[
access_grad_cache
(
var
)
for
var
in
node
.
outputs
]))
for
i
in
xrange
(
len
(
term_dict
[
node
])):
if
term_dict
[
node
][
i
]
is
None
:
term_dict
[
node
][
i
]
=
tensor
.
zeros_like
(
node
.
inputs
[
i
])
return
term_dict
[
node
]
#built-in python sum adds an extraneous TensorConstant(0)
#we can exploit the knowledge that iterable always has at
#least one element to avoid starting the sum at 0
def
nonempty_sum
(
iterable
):
rval
=
iterable
[
0
]
for
elem
in
iterable
[
1
:]:
rval
=
rval
+
elem
return
rval
#populate grad_dict[var] and return it
def
access_grad_cache
(
var
):
if
var
not
in
grad_dict
:
if
hasattr
(
var
,
'_children'
):
terms
=
[]
for
child
in
var
.
_children
.
keys
():
idx
=
var
.
_children
[
child
]
term
=
access_term_cache
(
child
)[
idx
]
if
isinstance
(
term
.
type
,
NaNType
):
raise
TypeError
(
"tensor.grad encountered a NaN. "
+
\
term
.
type
.
why_nan
)
terms
.
append
(
term
)
grad_dict
[
var
]
=
nonempty_sum
(
terms
)
else
:
#this variable is not connected to the cost in the computational
#graph so the gradient on it is zero
grad_dict
[
var
]
=
tensor
.
zeros_like
(
var
)
return
grad_dict
[
var
]
#notify the parents the variables in the relevant subgraph
#that they have children
def
account_for
(
var
):
if
var
in
accounted_for
:
return
accounted_for
.
add
(
var
)
if
var
.
owner
is
not
None
:
node
=
var
.
owner
for
i
,
ipt
in
enumerate
(
node
.
inputs
):
if
ipt
not
in
var_to_node_to_idx
:
var_to_node_to_idx
[
ipt
]
=
{}
var_to_node_to_idx
[
ipt
][
node
]
=
i
account_for
(
ipt
)
for
output
in
outputs
:
account_for
(
output
)
#build a dict mapping var to the gradient of cost with respect to var
grad_dict
=
{}
#by default, the gradient of the cost is 1
for
output
,
output_grad
in
sources
:
grad_dict
[
output
]
=
output_grad
#variables that do not influence the cost have zero gradient.
#if wrt is such a variable, populate the grad_dict with this info
#so that wrt not being in var_to_node_to_idx won't cause an error below
#according to the flag, possibly raise an error if wrt is disconnected
for
elem
in
wrt
:
if
elem
not
in
var_to_node_to_idx
and
elem
not
in
outputs
:
message
=
(
"grad method was asked to compute the gradient "
"with respect to a variable that is not part of "
"the computational graph of the cost, or is used "
"only by a non-differentiable operator:
%
s"
%
elem
)
grad_dict
[
elem
]
=
elem
.
zeros_like
()
#build a dict mapping node to the terms node contributes to each of its inputs' gradients
term_dict
=
{}
#populate term_dict[node] and return it
def
access_term_cache
(
node
):
if
node
not
in
term_dict
:
#must convert to list in case the op returns a tuple
#we won't be able to post-process out the Nones if it does that
term_dict
[
node
]
=
list
(
node
.
op
.
grad
(
node
.
inputs
,
[
access_grad_cache
(
var
)
for
var
in
node
.
outputs
]))
for
i
in
xrange
(
len
(
term_dict
[
node
])):
if
term_dict
[
node
][
i
]
is
None
:
term_dict
[
node
][
i
]
=
tensor
.
zeros_like
(
node
.
inputs
[
i
])
return
term_dict
[
node
]
#built-in python sum adds an extraneous TensorConstant(0)
#we can exploit the knowledge that iterable always has at
#least one element to avoid starting the sum at 0
def
nonempty_sum
(
iterable
):
rval
=
iterable
[
0
]
for
elem
in
iterable
[
1
:]:
rval
=
rval
+
elem
return
rval
#populate grad_dict[var] and return it
def
access_grad_cache
(
var
):
if
var
not
in
grad_dict
:
if
var
in
var_to_node_to_idx
:
terms
=
[]
node_to_idx
=
var_to_node_to_idx
[
var
]
for
node
in
node_to_idx
:
idx
=
node_to_idx
[
node
]
term
=
access_term_cache
(
node
)[
idx
]
if
isinstance
(
term
.
type
,
NaNType
):
raise
TypeError
(
"tensor.grad encountered a NaN. "
+
\
term
.
type
.
why_nan
)
terms
.
append
(
term
)
grad_dict
[
var
]
=
nonempty_sum
(
terms
)
else
:
#this variable is not connected to the cost in the computational
#graph so the gradient on it is zero
grad_dict
[
var
]
=
tensor
.
zeros_like
(
var
)
return
grad_dict
[
var
]
rval
=
[
access_grad_cache
(
elem
)
for
elem
in
wrt
]
finally
:
#take the marks out
for
node
in
marked
:
del
node
.
_children
rval
=
[
access_grad_cache
(
elem
)
for
elem
in
wrt
]
return
grad_dict
...
...
@@ -1149,6 +1135,7 @@ def verify_grad(fun, pt, n_tests=2, rng=None, eps=None,
return
plain
t_r
=
shared
(
random_projection
())
t_r
.
name
=
'random_projection'
# random projection of o onto t_r
# This sum() is defined above, it's not the builtin sum.
...
...
@@ -1178,6 +1165,7 @@ def verify_grad(fun, pt, n_tests=2, rng=None, eps=None,
num_grad
.
max_err
(
analytic_grad
,
abs_tol
,
rel_tol
)
if
max_abs_err
>
abs_tol
and
max_rel_err
>
rel_tol
:
raise
verify_grad
.
E_grad
(
max_arg
,
max_err_pos
,
max_abs_err
,
max_rel_err
,
abs_tol
,
rel_tol
)
...
...
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