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Paddle/python/paddle/fluid/backward.py

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37 KiB

# Copyright (c) 2018 PaddlePaddle Authors. All Rights Reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
# http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
from __future__ import print_function
from paddle.fluid import framework as framework
from . import core
import collections
import copy
import six
from .. import compat as cpt
from . import unique_name
__all__ = ['append_backward', 'gradients']
def _rename_arg_(op_descs, old_name, new_name, begin_idx=None, end_idx=None):
"""
Traverse all ops in op_descs[begin_idx : end_idx],
if any op has inputs/outputs named "old_name", rename it as 'new_name'
"""
if begin_idx is None:
begin_idx = 0
if end_idx is None:
end_idx = len(op_descs)
for i in range(begin_idx, end_idx):
op_desc = op_descs[i]
if isinstance(op_desc, tuple):
op_desc = op_desc[0]
op_desc._rename_input(old_name, new_name)
op_desc._rename_output(old_name, new_name)
def _create_op_desc_(op_type, inputs, outputs, attrs):
"""
Create a C++ OpDesc object with specified inputs, outputs and attributes.
"""
op_desc = core.OpDesc()
op_desc.set_type(op_type)
for para, args in six.iteritems(inputs):
op_desc.set_input(
para,
list(
map(lambda arg: arg.decode() if isinstance(arg, six.binary_type) else arg,
args)))
for para, args in six.iteritems(outputs):
op_desc.set_output(
para,
list(
map(lambda arg: arg.decode() if isinstance(arg, six.binary_type) else arg,
args)))
op_role_attr_name = core.op_proto_and_checker_maker.kOpRoleAttrName()
if op_role_attr_name not in attrs:
attrs[
op_role_attr_name] = core.op_proto_and_checker_maker.OpRole.Backward
for name, val in six.iteritems(attrs):
if isinstance(val, framework.Block):
op_desc.set_block_attr(name, val.desc)
else:
op_desc._set_attr(name, val)
return op_desc
def _infer_var_data_type_(grad_var_name, block):
"""
Infer the data type of given grad variable
"""
grad_var = block.desc.find_var(cpt.to_bytes(grad_var_name))
fwd_name = _strip_grad_suffix_(grad_var_name)
if block.desc.has_var_recursive(cpt.to_bytes(fwd_name)):
fwd_var = block.desc.find_var_recursive(cpt.to_bytes(fwd_name))
grad_var.set_dtype(fwd_var.dtype())
else:
grad_var.set_dtype(core.VarDesc.VarType.FP32)
def _all_in_set_(cands, s):
"""
Test if all elements of 'cands' are in set 's'
"""
if len(cands) == 0:
return False
for c in cands:
if not c in s:
return False
return True
def _some_in_set_(cands, s):
"""
Test if some elements of 'cands' are in set 's'
"""
if len(cands) == 0:
return False
literal_set = cpt.to_text(s)
literal_cands = cpt.to_text(cands)
for c in literal_cands:
if c in literal_set:
return True
return False
def _strip_grad_suffix_(name):
"""
Strip the grad suffix from the given varibale name
e.g. x@GRAD ==> x
y@GRAD@RENAME@1 ==> y
"""
name = cpt.to_text(name)
pos = name.find(core.grad_var_suffix())
return name[:pos] if pos != -1 else name
def _append_grad_suffix_(name):
"""
Append grad suffix to the given variable name
e.g. x ==> x@GRAD
"""
return cpt.to_text(name) + core.grad_var_suffix()
def _addup_repetitive_outputs_(op_descs):
"""
In backward part, an variable may be the output of more than one ops.
And one op may yield its multiple outputs to the same variable.
In these cases, the variable should be the accumulation of all the outputs.
`sum_op`s are added to implement the accumulate.
"""
pending_sum_ops = []
var_rename_count = collections.defaultdict(int)
renamed_vars = collections.defaultdict(list)
renamed_var_start_idx = collections.defaultdict(list)
for idx, op_desc in enumerate(op_descs):
for var_name in op_desc.input_arg_names():
if len(renamed_vars[var_name]) > 1:
pending_sum_ops.append((_create_op_desc_(
"sum", {"X": renamed_vars[var_name]}, {"Out": [var_name]},
{"use_mkldnn": False}), idx))
renamed_vars[var_name] = [var_name]
for param_idx, param_name in enumerate(op_desc.output_names()):
arg_names = op_desc.output(param_name)
for arg_idx, var_name in enumerate(arg_names):
if var_name == core.empty_var_name(
) or var_name in op_desc.input_arg_names():
# empty variable or inplace op
continue
if len(renamed_vars[var_name]) == 0:
# it's the first time we get the variable
renamed_vars[var_name] = [var_name]
renamed_var_start_idx[var_name] = idx
else:
if len(renamed_vars[var_name]) == 1:
new_name = var_name + "@RENAME@" + \
str(var_rename_count[var_name])
var_rename_count[var_name] += 1
# rename original var_name
renamed_vars[var_name][0] = new_name
# before change: _rename_arg_(op_descs, var_name,
# new_name, 0, idx)
# rename arg from idx of the first appearance
# in backward, not always from 0
_rename_arg_(op_descs, var_name, new_name,
renamed_var_start_idx[var_name], idx)
_rename_arg_(pending_sum_ops, var_name, new_name)
for p in op_desc.output_names()[:param_idx]:
p_arg_names = op_desc.output(p)
if var_name in p_arg_names:
op_desc.set_output(p, [
new_name if x == var_name else x
for x in p_arg_names
])
arg_names = [
new_name if x == var_name else x
for x in arg_names[:arg_idx]
] + arg_names[arg_idx:]
new_name = var_name + "@RENAME@" + \
str(var_rename_count[var_name])
var_rename_count[var_name] += 1
arg_names[arg_idx] = new_name
op_desc.set_output(param_name, arg_names)
renamed_vars[var_name].append(new_name)
for var_name, inputs in six.iteritems(renamed_vars):
if len(inputs) > 1:
pending_sum_ops.append(
(_create_op_desc_("sum", {"X": inputs}, {"Out": [var_name]},
{"use_mkldnn": False}), len(op_descs)))
# sum_op descs are sorted according to their insert position
for p in reversed(pending_sum_ops):
op_descs.insert(p[1], p[0])
return op_descs
def _remove_no_grad_branch_(op_descs, no_grad_set):
"""
Remove unnecessary grad ops
A grad op can be removed in two cases:
1. all outputs of the grad op are in 'no_grad_set'
2. all grad inputs of the grad op are in 'no_grad_set'
"""
def _op_can_be_removed_(op_desc, no_grad_set):
out_arg_names = op_desc.output_arg_names()
if len(out_arg_names) == 0 or _all_in_set_(out_arg_names, no_grad_set):
return True
if _all_in_set_([
name for name in op_desc.input_arg_names()
if name.find(core.grad_var_suffix()) != -1
], no_grad_set):
no_grad_set.update(out_arg_names)
return True
return False
# Remove ops whose outputs are all in no_grad_dict
op_descs = [
op_desc for op_desc in op_descs
if not _op_can_be_removed_(op_desc, no_grad_set)
]
# Insert fill_zeros_like_op
to_insert = []
for idx, op_desc in enumerate(op_descs):
for arg in op_desc.input_arg_names():
if core.grad_var_suffix() in arg and arg in no_grad_set:
x_in = _strip_grad_suffix_(arg)
to_insert.append((_create_op_desc_(
"fill_zeros_like", {"X": [x_in]}, {"Out": [arg]}, {}), idx))
list([op_descs.insert(p[1], p[0]) for p in reversed(to_insert)])
return op_descs
def _find_not_need_ops(grad_op_descs, forward_ops, input_grad_names_set):
"""
Pruning Program with Structural Analysis Method of Computational Graph.
The nodes of the computational graph composed of backward OPS should be
interconnected. If there are unconnected sub-graphs in the computational graph,
these sub-graphs should be cut off.
Args:
grad_op_descs(list[core.OpDesc]): The candidate backward OpDescs.
forward_ops(list[Operator]): The forward ops.
input_grad_names_set(set): this set is used to store the gradients' name
which is generated by backward ops, and input_grad_names_set can help
to prune the unnecessary backward ops.
Return:
(list[core.OpDesc]): A list of OpDescs which should be pruned.
"""
class Var(object):
def __init__(self, var_name):
self.var_name = var_name
self.gen_op = None
self.pendding_ops = []
def set_gen_op(self, gen_op):
assert isinstance(gen_op, Op)
assert self.gen_op is None
self.gen_op = gen_op
def add_pending_op(self, op):
assert isinstance(op, Op)
self.pendding_ops.append(op)
class Op(object):
def __init__(self, op_desc):
self.op_desc = op_desc
self.inputs = []
self.outputs = []
def insert_input(self, var):
assert isinstance(var, Var)
self.inputs.append(var)
def insert_output(self, var):
assert isinstance(var, Var)
self.outputs.append(var)
var_versions = dict()
def _create_node(name):
if name not in var_versions.keys():
var_versions[name] = [Var(name)]
else:
var_versions[name].append(Var(name))
return var_versions[name][-1]
def _create_or_get_last_version_node(name):
if name not in var_versions.keys():
var_versions[name] = [Var(name)]
return var_versions[name][-1]
def _create_op_node(op_desc):
op_node = Op(op_desc)
for input in op_desc.input_arg_names():
var = _create_or_get_last_version_node(name=input)
var.add_pending_op(op_node)
op_node.insert_input(var)
for output in op_desc.output_arg_names():
var = _create_node(name=output)
var.set_gen_op(op_node)
op_node.insert_output(var)
return op_node
# Record the forward vars
forward_vars_set = set() if input_grad_names_set is None else set(
input_grad_names_set)
for op in forward_ops:
forward_vars_set.update(op.desc.input_arg_names())
forward_vars_set.update(op.desc.output_arg_names())
# Record the vars which are created during backward and is not generated by op.
backward_vars_set = set()
# special_op_nodes is the candidate sub-graph head node.
special_op_nodes = set()
for op_desc in grad_op_descs:
input_set = set(op_desc.input_arg_names())
# The new_vars are created during backward and is not generated by op.
new_vars = input_set - forward_vars_set - backward_vars_set
backward_vars_set.update(op_desc.output_arg_names())
op_node = _create_op_node(op_desc)
if len(new_vars) == len(input_set):
special_op_nodes.add(op_node)
not_need_op_descs = []
# Start traversing all candidate sub-graph headers to check whether
# they are connected to backward computational graphs, and if they are
# not, list them in not_need_op_descs
for special_op_node in special_op_nodes:
op_list = [special_op_node]
ready_vars = set(special_op_node.inputs)
remove_ops = True
candidate_ops = [special_op_node]
while len(candidate_ops) > 0:
op_node = candidate_ops.pop(0)
if _all_in_set_(op_node.inputs, ready_vars):
for out_var in op_node.outputs:
candidate_ops.extend(out_var.pendding_ops)
op_list.extend(out_var.pendding_ops)
ready_vars.update(op_node.outputs)
else:
remove_ops = False
break
if remove_ops:
not_need_op_descs.extend([node.op_desc for node in op_list])
return set(not_need_op_descs)
from .proto import framework_pb2
def serialize_op_decs(op_desc):
protostr = op_desc.serialize_to_string()
proto = framework_pb2.OpDesc.FromString(six.binary_type(protostr))
return proto.__str__()
def _append_backward_ops_(block,
ops,
target_block,
no_grad_dict,
grad_to_var,
callbacks=None,
input_grad_names_set=None):
"""
Create all grad ops, and insert them into given block
Args:
block(Block): the block where forward ops are
ops(Op): the forward operators whose backward ops need to be added
target_block(Block): the block which is going to hold new generated grad ops
no_grad_dict(dict):
key(int) block index
val(set) a set of varibale names. These varibales have no gradient
grad_to_var(dict)(output argument):
key(str): grad variable name
val(str): corresponding forward variable name
callbacks(callable object): a callable object used to decorate new generated grad ops
input_grad_names_set(set): this set is used to store the gradients' name which is
generated by backward ops, and input_grad_names_set can help to prune the unnecessary
backward ops.
"""
if callbacks is not None:
assert (isinstance(callbacks, list))
for cb in callbacks:
if not hasattr(cb, '__call__'):
raise ValueError("'callback' must be a callable object.")
# grad_op_descs holds created grad_op, and will be appended to target_block
grad_op_descs = []
program = block.program
for op in reversed(ops):
grad_sub_block_list = []
# If the op has its own sub-block, deal with the sub-block first
if op.has_attr("sub_block"):
sub_block = program.block(op._block_attr_id("sub_block"))
grad_sub_block = program._create_block()
grad_sub_block._set_forward_block_idx(sub_block.idx)
# see follwing comments for why set None here.
pre_input_grad_names_set = copy.copy(input_grad_names_set)
input_grad_names_set = None
_append_backward_ops_(sub_block, sub_block.ops, grad_sub_block,
no_grad_dict, grad_to_var, callbacks,
input_grad_names_set)
input_grad_names_set = pre_input_grad_names_set
program._rollback()
grad_sub_block_list.append(grad_sub_block.desc)
# Getting op's corresponding grad_op
grad_op_desc, op_grad_to_var = core.get_grad_op_desc(
op.desc, cpt.to_text(no_grad_dict[block.idx]), grad_sub_block_list)
# If input_grad_names_set is not None, extend grad_op_descs only when
# any input grad in outputs of previous grad ops.
# But this strategy is not suited for while op for some control flow,
# for example, for while op, the grads maybe generated in next loop.
if input_grad_names_set is not None:
is_append_grad = False
for op_desc in grad_op_desc:
input_grad_names = [
name for name in op_desc.input_arg_names()
if name.find(core.grad_var_suffix()) != -1
]
# some code of gradient ops, like increment, are not very
# standard, there is no @GRAD in these ops' inputs.
if len(input_grad_names) == 0:
is_append_grad = True
break
if _some_in_set_(input_grad_names, input_grad_names_set):
grad_op_descs.append(op_desc)
is_append_grad = True
for name in op_desc.output_arg_names():
input_grad_names_set.add(name)
if is_append_grad:
grad_to_var.update(op_grad_to_var)
else:
grad_op_descs.extend(grad_op_desc)
grad_to_var.update(op_grad_to_var)
grad_op_descs = _addup_repetitive_outputs_(grad_op_descs)
grad_op_descs = _remove_no_grad_branch_(grad_op_descs,
no_grad_dict[block.idx])
not_need_ops = _find_not_need_ops(grad_op_descs, ops, input_grad_names_set)
grad_op_descs = [
op_desc for op_desc in grad_op_descs if op_desc not in not_need_ops
]
# append op_desc in grad_op_descs to target_block
op_role_attr_name = core.op_proto_and_checker_maker.kOpRoleAttrName()
backward = core.op_proto_and_checker_maker.OpRole.Backward
for op_desc in grad_op_descs:
new_op_desc = target_block.desc.append_op()
new_op_desc.copy_from(op_desc)
new_op_desc._set_attr(op_role_attr_name, backward)
grad_to_var["__current_op_desc__"] = new_op_desc
if callbacks is not None:
assert (isinstance(callbacks, list))
for cb in callbacks:
cb(block=target_block, context=grad_to_var)
def _append_backward_vars_(block, start_op_idx, grad_to_var, grad_info_map):
"""
Create new variables required by backward pass.
Args:
block(Block): the block where new variables will be created
start_op_idx(int): Only variables required by ops in block.ops[start_op_idx : ] will be created
grad_to_var(dict):
key(str): grad variable name
val(str): corresponding forward variable name
In most cases, this dict is generated by _append_backward_ops_()
grad_info_map(dict)(output argument):
key(str): forward variable name
val(tuple): a tuple of (str, Block), str is the corresponding grad name, Block is the block containing grad variable
"""
for op_idx in range(start_op_idx, block.desc.op_size()):
op_desc = block.desc.op(op_idx)
if op_desc.has_attr("sub_block"):
sub_block = block.program.block(op_desc._block_attr_id("sub_block"))
_append_backward_vars_(sub_block, 0, grad_to_var, grad_info_map)
new_vars = set()
# create new gradient variables
for grad_var_name in op_desc.output_arg_names():
if block.desc.has_var_recursive(cpt.to_bytes(
grad_var_name)) or grad_var_name == core.empty_var_name():
continue
block.desc.var(cpt.to_bytes(grad_var_name))
new_vars.add(grad_var_name)
if grad_var_name not in grad_to_var:
continue
grad_info_map[grad_to_var[grad_var_name]] = (grad_var_name, block)
# infer_shape and infer_type
op_desc.infer_var_type(block.desc)
op_desc.infer_shape(block.desc)
for arg in op_desc.output_arg_names():
if arg in new_vars:
_infer_var_data_type_(arg, block)
def _rename_grad_(block, start_op_idx, grad_to_var, target_grad_map):
var_map = copy.copy(target_grad_map)
for op_idx in range(start_op_idx, block.desc.op_size()):
op_desc = block.desc.op(op_idx)
for name in op_desc.input_arg_names():
if name in var_map:
op_desc._rename_input(name, var_map[name])
for name in op_desc.output_arg_names():
if block.desc.find_var(name.encode("ascii")):
new_name = unique_name.generate(name)
op_desc._rename_output(name, new_name)
var_map[name] = new_name
for g, ng in six.iteritems(var_map):
if g in grad_to_var:
grad_to_var[ng] = grad_to_var[g]
grad_to_var.pop(g)
def _get_stop_gradients_(program):
no_grad_dict = dict()
assert isinstance(program, framework.Program)
for block in program.blocks:
assert isinstance(block, framework.Block)
block_no_grad_set = set()
for var in list(block.vars.values()):
assert isinstance(var, framework.Variable)
if var.stop_gradient:
block_no_grad_set.add(_append_grad_suffix_(var.name))
no_grad_dict[block.idx] = block_no_grad_set
return no_grad_dict
def append_backward(loss, parameter_list=None, no_grad_set=None,
callbacks=None):
"""
Append backward part to main_program.
A complete neural network training is made up of forward and backward
propagation. However, when we configure a network, we only need to
specify its forwrd part. The backward part is generated automatically
according to the forward part by this function.
In most cases, users do not need to invoke this function manually. It
will be automatically invoked by the optimizer's `minimize` function.
Args:
loss(Variable): The loss variable of the network.
parameter_list(list[string]|None): Names of parameters that need
to be updated by optimizers.
If it is None, all parameters
will be updated.
Default: None
no_grad_set(set|None): Variables in the Block 0 whose gradients
should be ignored. All variables with
`stop_gradient=True` from all blocks will
be automatically added into this set.
Default: None
callbacks(list[callable object]|None): The callbacks are used for
doing some custom jobs during
backward part building. All
callable objects in it will
be invoked once each time a
new gradient operator is added
into the program. The callable
object must has two input
parameters: 'block' and 'context'.
The 'block' is the block which
the new gradient operator will
be added to. The 'context' is a
map, whose keys are gradient
variable names and values are
corresponding original variables.
In addition to this, the 'context'
has another special key-value pair:
the key is string '__current_op_desc__'
and the value is the op_desc of the
gradient operator who has just
triggered the callable object.
Returns:
list[(Variable,Variable)]: Pairs of parameter and its
corresponding gradients. The key is the parameter and the
value is gradient variable.
Raises:
AssertionError: If `loss` is not an instance of Variable.
Examples:
.. code-block:: python
# network configuration code
# loss from ...
import paddle.fluid as fluid
x = fluid.layers.data(name='x', shape=[13], dtype='float32')
y = fluid.layers.data(name='y', shape=[1], dtype='float32')
y_predict = fluid.layers.fc(input=x, size=1, act=None)
loss = fluid.layers.square_error_cost(input=y_predict, label=y)
avg_loss = fluid.layers.mean(loss)
param_grad_list = fluid.backward.append_backward(loss=avg_loss)
"""
assert isinstance(loss, framework.Variable)
if loss.op is None:
# the loss is from a cloned program. Find loss op manually.
for op in reversed(loss.block.ops):
assert isinstance(op, framework.Operator)
if len(op.output_arg_names) == 1 and op.output_arg_names[
0] == loss.name:
loss.op = op
break
if loss.op is None:
raise ValueError("loss.op is None. Should not happend")
loss.op._set_attr(core.op_proto_and_checker_maker.kOpRoleAttrName(),
int(core.op_proto_and_checker_maker.OpRole.Forward) |
int(core.op_proto_and_checker_maker.OpRole.Loss))
if callbacks is not None:
isinstance(callbacks, list)
program = loss.block.program
program._appending_grad_times += 1
if no_grad_set is None:
no_grad_set = set()
no_grad_set = copy.copy(no_grad_set)
no_grad_dict = _get_stop_gradients_(program)
no_grad_dict[0].update(list(map(_append_grad_suffix_, no_grad_set)))
grad_info_map = dict()
root_block = program.block(0)
fwd_op_num = root_block.desc.op_size()
current_block_idx = program.current_block_idx
grad_to_var = dict()
op_desc = _create_op_desc_(
"fill_constant",
{},
{"Out": [_append_grad_suffix_(loss.name)]},
{
"shape": [1], # TODO(panyx0718): This can be loss.shape.
"value": 1.0,
"dtype": loss.dtype,
"force_cpu": False,
core.op_proto_and_checker_maker.kOpRoleAttrName():
int(core.op_proto_and_checker_maker.OpRole.Backward) |
int(core.op_proto_and_checker_maker.OpRole.Loss),
})
root_block.desc.append_op().copy_from(op_desc)
block_no_grad_set = set(map(_strip_grad_suffix_, no_grad_dict[0]))
op_path = _find_op_path_(root_block, [loss], [], block_no_grad_set)
no_grad_vars = _find_no_grad_vars(root_block, op_path, [loss],
block_no_grad_set)
block_no_grad_set.update(no_grad_vars)
no_grad_dict[0].update(list(map(_append_grad_suffix_, block_no_grad_set)))
input_grad_names_set = None
# For double backward, input_grad_names is used for filter
# some non-used gradients op.
if program._appending_grad_times > 1:
input_grad_names_set = set([_append_grad_suffix_(loss.name)])
_append_backward_ops_(
root_block,
op_path,
root_block,
no_grad_dict,
grad_to_var,
callbacks,
input_grad_names_set=input_grad_names_set)
# Because calc_gradient may be called multiple times,
# we need rename the internal gradient variables so that they have
# different names.
_rename_grad_(root_block, fwd_op_num, grad_to_var, {})
_append_backward_vars_(root_block, fwd_op_num, grad_to_var, grad_info_map)
program.current_block_idx = current_block_idx
program._sync_with_cpp()
if parameter_list is not None:
parameters = parameter_list
else:
params = program.global_block().all_parameters()
parameters = [param.name for param in params if param.trainable]
params_and_grads = []
for param in parameters:
if cpt.to_text(param) not in grad_info_map:
continue
grad_info = grad_info_map[param]
grad_block = grad_info[1]
if not grad_block.has_var(grad_info[0]):
raise ValueError("grad block[{0}] did not have grad var {1}".format(
grad_info[1], grad_info[0]))
# Get the param var from the global block
param_var = program.global_block().var(param)
grad_var = grad_block.var(grad_info[0])
if loss.block.has_var(grad_info[0]):
params_and_grads.append((param_var, grad_var))
else:
params_and_grads.append((param_var, None))
op_role_var_attr_name = core.op_proto_and_checker_maker.kOpRoleVarAttrName()
for p, g in params_and_grads:
if g is None:
continue
for op in reversed(program.global_block().ops):
assert isinstance(op, framework.Operator)
if g.name in op.output_arg_names:
g.op = op
break
if g.op is None:
raise ValueError("Unexpected branch")
attr_val = [p.name, g.name]
if g.op.has_attr(op_role_var_attr_name):
attr_val.extend(g.op.attr(op_role_var_attr_name))
g.op._set_attr(op_role_var_attr_name, attr_val)
return params_and_grads
def _as_list(x):
if x is None:
return []
return list(x) if isinstance(x, collections.Sequence) else [x]
def _find_no_grad_vars(block, op_path, targets, no_grad_set):
"""
Find the vars which is not used in the program, and
those var belong to no_grad_var.
"""
output_names = set([out.name for out in targets])
no_grad_var = []
for i, op in reversed(list(enumerate(op_path))):
# If the op has sub_block, it is too complicated to find the correct no_grad_var.
if not op.has_attr("sub_block"):
for out_var in op.desc.output_arg_names():
if out_var not in output_names and out_var not in op.desc.input_arg_names(
) and not block.vars[out_var].stop_gradient:
no_grad_var.append(out_var)
for name in op.desc.input_arg_names():
if name not in no_grad_set:
output_names.add(name)
return set(no_grad_var)
def _find_op_path_(block, outputs, inputs, no_grad_set):
"""
no_grad_set will also be changed
"""
input_names = set([inp.name for inp in inputs])
output_names = set([out.name for out in outputs])
relevant_op_flags = [True] * len(block.ops)
# All the inputs of the block are used if inputs is empty,
if inputs:
for i, op in enumerate(block.ops):
if _some_in_set_(op.desc.input_arg_names(), input_names):
for name in op.desc.output_arg_names():
if name not in no_grad_set:
input_names.add(name)
else:
relevant_op_flags[i] = False
for i, op in reversed(list(enumerate(block.ops))):
if _some_in_set_(op.desc.output_arg_names(), output_names):
for name in op.desc.input_arg_names():
if name not in no_grad_set:
output_names.add(name)
else:
relevant_op_flags[i] = False
op_path = [
block.ops[i] for i in range(len(block.ops)) if relevant_op_flags[i]
]
if inputs:
for op in op_path:
for name in op.desc.input_arg_names():
if name not in input_names and block.vars[name].stop_gradient:
no_grad_set.add(name)
return op_path
def calc_gradient(targets, inputs, target_gradients=None, no_grad_set=None):
"""
Backpropagate the gradients of targets to inputs.
Args:
targets(Variable|list[Variable]): The target variables
inputs(Variable|list[Variable]): The input variables
target_gradients (Variable|list[Variable]|None): The gradient variables
of targets which has the same shape with targets, If None, ones will
be created for them.
no_grad_set(set[string]): The names of variables that have no gradients
in Block 0. All variables with `stop_gradient=True` from all blocks
will be automatically added.
Return:
(list[Variable]): A list of gradients for inputs
If an input does not affect targets, the corresponding gradient variable
will be None
"""
targets = _as_list(targets)
inputs = _as_list(inputs)
target_gradients = _as_list(target_gradients)
block = targets[0].block
prog = block.program
# increase appending gradients times
prog._appending_grad_times += 1
block_idx = block.idx
if not target_gradients:
target_gradients = [None] * len(targets)
if len(targets) != len(target_gradients):
raise ValueError(
"Should have the same number of target_gradients as targets")
if no_grad_set is None:
no_grad_set = set()
no_grad_set = copy.copy(no_grad_set)
no_grad_dict = _get_stop_gradients_(prog)
no_grad_dict[0].update(list(map(_append_grad_suffix_, no_grad_set)))
fwd_op_num = block.desc.op_size()
input_grad_names_set = set()
target_grad_map = {}
for i, grad in enumerate(target_gradients):
target = targets[i]
if grad is None:
grad_name = _append_grad_suffix_(target.name)
op_desc = _create_op_desc_("fill_constant_batch_size_like",
{"Input": [target.name]},
{"Out": [grad_name]}, {
"shape": target.shape,
"value": 1.0,
"dtype": target.dtype,
'input_dim_idx': 0,
'output_dim_idx': 0
})
block.desc.append_op().copy_from(op_desc)
input_grad_names_set.add(grad_name)
else:
if target.block.idx != block_idx or target.block.program != prog:
raise ValueError("all targets must be in the same block")
if target.shape != grad.shape:
raise ValueError(
"The shapes of target and grad are different: %s %s" % (
target.name, grad.name))
target_grad_map[_append_grad_suffix_(target.name)] = grad.name
input_grad_names_set.add(grad.name)
# For double backward, input_grad_names is used for filter
# some non-used gradients op.
if prog._appending_grad_times == 1:
input_grad_names_set = None
for input in inputs:
if input.block.program != prog:
raise "input must be in the same program as targets"
block_no_grad_set = set(map(_strip_grad_suffix_, no_grad_dict[0]))
op_path = _find_op_path_(block, targets, inputs, block_no_grad_set)
no_grad_dict[0].update(list(map(_append_grad_suffix_, block_no_grad_set)))
grad_to_var = dict()
grad_info_map = dict()
_append_backward_ops_(
block,
op_path,
block,
no_grad_dict,
grad_to_var,
input_grad_names_set=input_grad_names_set)
# Because calc_gradient may be called multiple times,
# we need rename the internal gradient variables so that they have
# different names.
_rename_grad_(block, fwd_op_num, grad_to_var, target_grad_map)
_append_backward_vars_(block, fwd_op_num, grad_to_var, grad_info_map)
prog._sync_with_cpp()
grad_vars = []
for input_var in inputs:
if input_var.name not in grad_info_map:
grad_vars.append(None)
else:
grad_info = grad_info_map[input_var.name]
grad_block = grad_info[1]
grad_var = grad_block.var(grad_info[0])
grad_vars.append(grad_var)
if len(grad_vars) == 1:
return grad_vars[0]
else:
return grad_vars
def gradients(targets, inputs, target_gradients=None, no_grad_set=None):
"""
Backpropagate the gradients of targets to inputs.
Args:
targets (Variable|list[Variable]): The target variables.
inputs (Variable|list[Variable]): The input variables.
target_gradients (Variable|list[Variable]|None): The gradient variables
of targets which has the same shape with targets, If None, ones will
be created for them.
no_grad_set (set[string]): The names of variables that have no gradients
in Block 0. All variables with `stop_gradient=True` from all blocks
will be automatically added.
Return:
(list[Variable]): A list of gradients for inputs
If an input does not affect targets, the corresponding gradient variable
will be None.
Examples:
.. code-block:: python
import paddle.fluid as fluid
x = fluid.layers.data(name='x', shape=[2,8,8], dtype='float32')
x.stop_gradient=False
y = fluid.layers.conv2d(x, 4, 1, bias_attr=False)
y = fluid.layers.relu(y)
y = fluid.layers.conv2d(y, 4, 1, bias_attr=False)
y = fluid.layers.relu(y)
z = fluid.gradients([y], x)
print(z)
"""
outs = calc_gradient(targets, inputs, target_gradients, no_grad_set)
return _as_list(outs)