# Source code for captum.influence._core.tracincp_fast_rand_proj

```
#!/usr/bin/env python3
import threading
import warnings
from collections import defaultdict
from typing import Any, Callable, cast, Dict, Iterator, List, Optional, Tuple, Union
import torch
from captum._utils.common import _get_module_from_name, _sort_key_list
from captum._utils.gradient import _gather_distributed_tensors
from captum._utils.progress import NullProgress, progress
from captum.influence._core.tracincp import (
_influence_route_to_helpers,
KMostInfluentialResults,
TracInCPBase,
)
from captum.influence._utils.common import (
_check_loss_fn,
_format_inputs_dataset,
_get_k_most_influential_helper,
_jacobian_loss_wrt_inputs,
_load_flexible_state_dict,
_self_influence_by_batches_helper,
_tensor_batch_dot,
)
from captum.influence._utils.nearest_neighbors import (
AnnoyNearestNeighbors,
NearestNeighbors,
)
from captum.log import log_usage
from torch import device, Tensor
from torch.nn import Module
from torch.utils.data import DataLoader, Dataset
r"""
Implements abstract DataInfluence class and also provides implementation details for
influence computation based on the logic provided in TracIn paper
(https://arxiv.org/abs/2002.08484).
The TracIn paper proposes an idealized notion of influence which can be represented by
the total amount a training example reduces loss for a test example via a training
process such as stochastic gradient descent. As this idealized notion of influence is
impractical to compute, the TracIn paper proposes instead to compute an influence
score, which uses a first-order approximation for the change in loss for a test example
by a training example, which is accumulated across saved model checkpoints. This
influence score is accumulated via a summed dot-product of gradient vectors for the
scores/loss of a test and training example.
"""
"""
TODO: Support for checkpoint type. Currently only supports model parameters as saved
checkpoints. Can use enum or string.
Potential implementation from design doc:
checkpoint_type (Enum = [Parameters | Loss_Grad]): For performance,
saved / loaded checkpoints can be either model parameters, or
gradient of the loss function on an input w.r.t parameters.
"""
[docs]
class TracInCPFast(TracInCPBase):
r"""
In Appendix F, Page 14 of the TracIn paper, they show that the calculation
of the influence score of between a test example x' and a training example x,
can be computed much more quickly than naive back-propagation in the special
case when considering only gradients in the last fully-connected layer. This class
computes influence scores for that special case. Note that the computed
influence scores are exactly the same as when naive back-propagation is used -
there is no loss in accuracy.
In more detail regarding the influence score computation: let :math`x`
and :math`\nabla_y f(y)` be the input and output-gradient of the last
fully-connected layer, respectively, for a training example. Similarly, let
:math`x'` and :math`\nabla_{y'} f(y')` be the corresponding quantities for
a test example. Then, the influence score of the training example on the test
example is the sum of the contribution from each checkpoint. The contribution from
a given checkpoint is :math`(x^T x')(\nabla_y f(y)^T \nabla_{y'} f(y'))`.
"""
def __init__(
self,
model: Module,
final_fc_layer: Union[Module, str],
train_dataset: Union[Dataset, DataLoader],
checkpoints: Union[str, List[str], Iterator],
checkpoints_load_func: Callable = _load_flexible_state_dict,
loss_fn: Optional[Union[Module, Callable]] = None,
batch_size: Union[int, None] = 1,
test_loss_fn: Optional[Union[Module, Callable]] = None,
vectorize: bool = False,
) -> None:
r"""
Args:
model (torch.nn.Module): An instance of pytorch model. This model should
define all of its layers as attributes of the model.
final_fc_layer (torch.nn.Module or str): The last fully connected layer in
the network for which gradients will be approximated via fast random
projection method. Can be either the layer module itself, or the
fully qualified name of the layer if it is a defined attribute of
the passed `model`.
train_dataset (torch.utils.data.Dataset or torch.utils.data.DataLoader):
In the `influence` method, we compute the influence score of
training examples on examples in a test batch.
This argument represents the training dataset containing those
training examples. In order to compute those influence scores, we
will create a Pytorch DataLoader yielding batches of training
examples that is then used for processing. If this argument is
already a Pytorch Dataloader, that DataLoader can be directly
used for processing. If it is instead a Pytorch Dataset, we will
create a DataLoader using it, with batch size specified by
`batch_size`. For efficiency purposes, the batch size of the
DataLoader used for processing should be as large as possible, but
not too large, so that certain intermediate quantities created
from a batch still fit in memory. Therefore, if
`train_dataset` is a Dataset, `batch_size` should be large.
If `train_dataset` was already a DataLoader to begin with,
it should have been constructed to have a large batch size. It is
assumed that the Dataloader (regardless of whether it is created
from a Pytorch Dataset or not) yields tuples. For a `batch` that is
yielded, of length `L`, it is assumed that the forward function of
`model` accepts `L-1` arguments, and the last element of `batch` is
the label. In other words, `model(*batch[:-1])` gives the output of
`model`, and `batch[-1]` are the labels for the batch.
checkpoints (str, list[str], or Iterator): Either the directory of the
path to store and retrieve model checkpoints, a list of
filepaths with checkpoints from which to load, or an iterator which
returns objects from which to load checkpoints.
checkpoints_load_func (Callable, optional): The function to load a saved
checkpoint into a model to update its parameters, and get the
learning rate if it is saved. By default uses a utility to load a
model saved as a state dict.
Default: _load_flexible_state_dict
loss_fn (Callable, optional): The loss function applied to model. `loss_fn`
must be a "reduction" loss function that reduces the per-example
losses in a batch, and returns a single scalar Tensor. Furthermore,
the reduction must be the *sum* or the *mean* of the per-example
losses. For instance, `nn.BCELoss(reduction="sum")` is acceptable.
Also note that if `loss_fn` has no "reduction" attribute,
the implementation assumes that the reduction is the *sum* of the
per-example losses. If this is not the case, i.e. the reduction
is the *mean*, please set the "reduction" attribute of `loss_fn`
to "mean", i.e. `loss_fn.reduction = "mean"`.
Default: None
batch_size (int or None, optional): Batch size of the DataLoader created to
iterate through `train_dataset`, if it is a Dataset.
`batch_size` should be chosen as large as possible so that certain
intermediate quantities created from a batch still fit in memory.
Specific implementations of `TracInCPBase` will detail the size of
the intermediate quantities. `batch_size` must be an int if
`train_dataset` is a Dataset. If `train_dataset`
is a DataLoader, then `batch_size` is ignored as an argument.
Default: 1
test_loss_fn (Callable, optional): In some cases, one may want to use a
separate loss functions for training examples, i.e. those in
`train_dataset`, and for test examples, i.e. those
represented by the `inputs` and `targets` arguments to the
`influence` method. For example, if one wants to calculate the
influence score of a training example on a test example's
prediction for a fixed class, `test_loss_fn` could map from the
logits for all classes to the logits for a fixed class.
`test_loss_fn` needs satisfy the same constraints as `loss_fn`.
Thus, the same checks that we apply to `loss_fn` are also applied
to `test_loss_fn`, if the latter is provided. If not provided, the
loss function for test examples is assumed to be the same as the
loss function for training examples, i.e. `loss_fn`.
Default: None
vectorize (bool, optional): Flag to use experimental vectorize functionality
for `torch.autograd.functional.jacobian`.
Default: False
"""
TracInCPBase.__init__(
self,
model,
train_dataset,
checkpoints,
checkpoints_load_func,
loss_fn,
batch_size,
test_loss_fn,
)
self.vectorize = vectorize
# TODO: restore prior state
self.final_fc_layer = final_fc_layer
if isinstance(self.final_fc_layer, str):
self.final_fc_layer = _get_module_from_name(model, self.final_fc_layer)
assert isinstance(self.final_fc_layer, Module)
for param in self.final_fc_layer.parameters():
param.requires_grad = True
assert loss_fn is not None, "loss function must not be none"
# check `loss_fn`
self.reduction_type = _check_loss_fn(self, loss_fn, "loss_fn")
# check `test_loss_fn` if it was provided
self.test_reduction_type = (
self.reduction_type
if test_loss_fn is None
else _check_loss_fn(self, test_loss_fn, "test_loss_fn")
)
[docs]
@log_usage()
def influence( # type: ignore[override]
self,
inputs: Tuple[Any, ...],
k: Optional[int] = None,
proponents: bool = True,
show_progress: bool = False,
) -> Union[Tensor, KMostInfluentialResults]:
r"""
This is the key method of this class, and can be run in 2 different modes,
where the mode that is run depends on the arguments passed to this method:
- influence score mode: This mode is used if `k` is None. This mode computes
the influence score of every example in training dataset `train_dataset`
on every example in the test batch represented by `inputs`.
- k-most influential mode: This mode is used if `k` is not None, and an int.
This mode computes the proponents or opponents of every example in the
test batch represented by `inputs`. In particular, for each test example in
the test batch, this mode computes its proponents (resp. opponents),
which are the indices in the training dataset `train_dataset` of the
training examples with the `k` highest (resp. lowest) influence scores on the
test example. Proponents are computed if `proponents` is True. Otherwise,
opponents are computed. For each test example, this method also returns the
actual influence score of each proponent (resp. opponent) on the test
example.
Args:
inputs (tuple or DataLoader): `inputs` is the test batch and is a tuple of
any, where the last element is assumed to be the labels for the
batch. That is, `model(*batch[0:-1])` produces the output for
`model`, and `batch[-1]` are the labels, if any. This is the same
assumption made for each batch yielded by training dataset
`train_dataset` - please see its documentation in `__init__` for
more details on the assumed structure of a batch.
k (int, optional): If not provided or `None`, the influence score mode will
be run. Otherwise, the k-most influential mode will be run,
and `k` is the number of proponents / opponents to return per
example in the test batch.
Default: None
proponents (bool, optional): Whether seeking proponents (`proponents=True`)
or opponents (`proponents=False`), if running in k-most influential
mode.
Default: True
show_progress (bool, optional): For all modes, computation of results
requires "training dataset computations": computations for each
batch in the training dataset `train_dataset`, which may
take a long time. If `show_progress` is true, the progress of
"training dataset computations" will be displayed. In particular,
the number of batches for which computations have been performed
will be displayed. It will try to use tqdm if available for
advanced features (e.g. time estimation). Otherwise, it will
fallback to a simple output of progress.
Default: False
Returns:
The return value of this method depends on which mode is run.
- influence score mode: if this mode is run (`k` is None), returns a 2D
tensor `influence_scores` of shape `(input_size, train_dataset_size)`,
where `input_size` is the number of examples in the test batch, and
`train_dataset_size` is the number of examples in training dataset
`train_dataset`. In other words, `influence_scores[i][j]` is the
influence score of the `j`-th example in `train_dataset` on the `i`-th
example in the test batch.
- k-most influential mode: if this mode is run (`k` is an int), returns
a namedtuple `(indices, influence_scores)`. `indices` is a 2D tensor of
shape `(input_size, k)`, where `input_size` is the number of examples in
the test batch. If computing proponents (resp. opponents),
`indices[i][j]` is the index in training dataset `train_dataset` of the
example with the `j`-th highest (resp. lowest) influence score (out of
the examples in `train_dataset`) on the `i`-th example in the test
batch. `influence_scores` contains the corresponding influence scores.
In particular, `influence_scores[i][j]` is the influence score of example
`indices[i][j]` in `train_dataset` on example `i` in the test batch
represented by `inputs`.
"""
assert inputs is not None, (
"`inputs` argument is required."
"If you wish to calculate self influence scores,"
" please use the `self_influence` method instead."
)
return _influence_route_to_helpers(
self,
inputs,
k,
proponents,
show_progress=show_progress,
)
def _influence_batch_tracincp_fast(
self,
test_batch: Tuple[Any, ...],
train_batch: Tuple[Any, ...],
):
"""
computes influence scores for a single training batch, when only considering
gradients in the last fully-connected layer, using the computation trick
described in the `TracInCPFast` class description.
"""
def get_checkpoint_contribution(checkpoint):
assert (
checkpoint is not None
), "None returned from `checkpoints`, cannot load."
learning_rate = self.checkpoints_load_func(self.model, checkpoint)
input_jacobians, input_layer_inputs = _basic_computation_tracincp_fast(
self,
test_batch[0:-1],
test_batch[-1],
self.test_loss_fn,
self.test_reduction_type,
)
src_jacobian, src_layer_input = _basic_computation_tracincp_fast(
self,
train_batch[0:-1],
train_batch[-1],
self.loss_fn,
self.reduction_type,
)
return (
_tensor_batch_dot(
input_jacobians, src_jacobian
) # shape is (test batch size, training batch size), containing x^T x'
# for every example x in the training batch and example x' in the test
# batch
* _tensor_batch_dot(input_layer_inputs, src_layer_input)
# shape is (test batch size, training batch size), containing
# (\nabla_y f(y)^T \nabla_{y'} f(y')) for every label y in the training
# batch and label y' in the test batch
* learning_rate
)
batch_tracin_scores = get_checkpoint_contribution(self.checkpoints[0])
for checkpoint in self.checkpoints[1:]:
batch_tracin_scores += get_checkpoint_contribution(checkpoint)
return batch_tracin_scores
def _influence( # type: ignore[override]
self,
inputs: Tuple[Any, ...],
show_progress: bool = False,
) -> Tensor:
r"""
Computes the influence of examples in training dataset `train_dataset`
on the examples in the test batch represented by `inputs`.
This implementation does not require knowing the number of training examples
in advance. Instead, the number of training examples is inferred from the
output of `_basic_computation_tracincp_fast`.
Args:
inputs (tuple): `inputs` is the test batch and is a tuple of
any, where the last element is assumed to be the labels for the
batch. That is, `model(*batch[0:-1])` produces the output for
`model`, and `batch[-1]` are the labels, if any. This is the same
assumption made for each batch yielded by training dataset
`train_dataset` - please see its documentation in `__init__` for
more details on the assumed structure of a batch.
show_progress (bool, optional): To compute the influence of examples in
training dataset `train_dataset`, we compute the influence
of each batch. If `show_progress` is true, the progress of this
computation will be displayed. In particular, the number of batches
for which influence has been computed will be displayed. It will
try to use tqdm if available for advanced features (e.g. time
estimation). Otherwise, it will fallback to a simple output of
progress.
Default: False
Returns:
influence_scores (Tensor): Influence scores from the `TracInCPFast` method.
Its shape is `(input_size, train_dataset_size)`, where `input_size`
is the number of examples in the test batch, and
`train_dataset_size` is the number of examples in
training dataset `train_dataset`. For example:
`influence_scores[i][j]` is the influence score for the j-th training
example to the i-th example in the test batch.
"""
train_dataloader = self.train_dataloader
if show_progress:
train_dataloader = progress(
train_dataloader,
desc=(
f"Using {self.get_name()} to compute "
"influence for training batches"
),
total=self.train_dataloader_len,
)
return torch.cat(
[
self._influence_batch_tracincp_fast(inputs, batch)
for batch in train_dataloader
],
dim=1,
)
def _get_k_most_influential( # type: ignore[override]
self,
inputs: Tuple[Any, ...],
k: int = 5,
proponents: bool = True,
show_progress: bool = False,
) -> KMostInfluentialResults:
r"""
Args:
inputs (tuple): `inputs` is the test batch and is a tuple of
any, where the last element is assumed to be the labels for the
batch. That is, `model(*batch[0:-1])` produces the output for
`model`, and `batch[-1]` are the labels, if any. This is the same
assumption made for each batch yielded by training dataset
`train_dataset` - please see its documentation in `__init__` for
more details on the assumed structure of a batch.
k (int, optional): The number of proponents or opponents to return per test
example.
Default: 5
proponents (bool, optional): Whether seeking proponents (`proponents=True`)
or opponents (`proponents=False`)
Default: True
show_progress (bool, optional): To compute the proponents (or opponents)
for the batch of examples, we perform computation for each batch in
training dataset `train_dataset`, If `show_progress` is
true, the progress of this computation will be displayed. In
particular, the number of batches for which the computation has
been performed will be displayed. It will try to use tqdm if
available for advanced features (e.g. time estimation). Otherwise,
it will fallback to a simple output of progress.
Default: False
Returns:
(indices, influence_scores) (namedtuple): `indices` is a torch.long Tensor
that contains the indices of the proponents (or opponents) for each
test example. Its dimension is `(inputs_batch_size, k)`, where
`inputs_batch_size` is the number of examples in `inputs`. For
example, if `proponents==True`, `indices[i][j]` is the index of the
example in training dataset `train_dataset` with the
k-th highest influence score for the j-th example in `inputs`.
`indices` is a `torch.long` tensor so that it can directly be used
to index other tensors. Each row of `influence_scores` contains the
influence scores for a different test example, in sorted order. In
particular, `influence_scores[i][j]` is the influence score of
example `indices[i][j]` in training dataset `train_dataset`
on example `i` in the test batch represented by `inputs`.
"""
desc = (
None
if not show_progress
else (
(
f"Using {self.get_name()} to perform computation for "
f'getting {"proponents" if proponents else "opponents"}. '
"Processing training batches"
)
)
)
return KMostInfluentialResults(
*_get_k_most_influential_helper(
self.train_dataloader,
self._influence_batch_tracincp_fast,
inputs,
k,
proponents,
show_progress,
desc,
)
)
def _self_influence_by_checkpoints(
self,
inputs: Union[Tuple[Any, ...], DataLoader],
show_progress: bool = False,
) -> Tensor:
"""
Computes self influence scores for the examples in `inputs`, which is
either a single batch or a Pytorch `DataLoader` that yields batches. Therefore,
the computed self influence scores are *not* for the examples in training
dataset `train_dataset` (unlike when computing self influence scores using the
`influence` method). Note that if `inputs` is a single batch, this
will call `model` on that single batch, and if `inputs` yields
batches, this will call `model` on each batch that is yielded. Therefore,
please ensure that for both cases, the batch(es) that `model` is called
with are not too large, so that there will not be an out-of-memory error. This
implementation performs an outer iteration over checkpoints, and an inner
iteration over all batches that `inputs` represents. The pros of this
implementation are that the checkpoints do not need to be loaded too many
times.
Args:
batches (tuple or DataLoader): Either a single tuple of any, or a
`DataLoader`, where each batch yielded is a tuple of any. In
either case, the tuple represents a single batch, where the last
element is assumed to be the labels for the batch. That is,
`model(*batch[0:-1])` produces the output for `model`,
and `batch[-1]` are the labels, if any. This is the same
assumption made for each batch yielded by training dataset
`train_dataset`. Please see documentation for the
`train_dataset` argument to `TracInCP.__init__` for
more details on the assumed structure of a batch.
show_progress (bool, optional): Computation of self influence scores can
take a long time if `inputs` represents many examples. If
`show_progress` is true, the progress of this computation will be
displayed. In more detail, this computation will iterate over all
checkpoints (provided as the `checkpoints` initialization argument)
in an outer loop, and iterate over all batches that
`inputs` represents in an inner loop. Thus if
`show_progress` is True, the progress of both the outer
iteration and the inner iterations will be displayed. To show
progress, it will try to use tqdm if available for advanced
features (e.g. time estimation). Otherwise, it will fallback to a
simple output of progress.
Default: False
Returns:
self_influence_scores (Tensor): This is a 1D tensor containing the self
influence scores of all examples in `inputs`, regardless of
whether it represents a single batch or a `DataLoader` that yields
batches.
"""
# If `inputs` is not a `DataLoader`, turn it into one.
inputs = _format_inputs_dataset(inputs)
# If `show_progress` is true, create an outer progress bar that keeps track of
# how many checkpoints have been processed
if show_progress:
# Try to determine length of inner progress bar if possible, with a default
# of `None`.
inputs_len = None
try:
inputs_len = len(inputs)
except TypeError:
warnings.warn(
"Unable to determine the number of batches in `inputs`. "
"Therefore, if showing the progress of the computation of self "
"influence scores, only the number of batches processed can be "
"displayed, and not the percentage completion of the computation, "
"nor any time estimates."
)
def get_checkpoint_contribution(checkpoint):
# This function returns a 1D tensor representing the contribution to the
# self influence score for the given checkpoint, for all batches in
# `inputs`. The length of the 1D tensor is the total number of
# examples in `inputs`.
assert (
checkpoint is not None
), "None returned from `checkpoints`, cannot load."
learning_rate = self.checkpoints_load_func(self.model, checkpoint)
# This will store a list of the contribution of the self influence score
# from each batch. Each element is a 1D tensor of length batch_size - the
# batch size of each batch in `inputs` (they do not need to be all
# the same)
checkpoint_contribution = []
_inputs = inputs
# If `show_progress` is true, create an inner progress bar that keeps track
# of how many batches have been processed for the current checkpoint
if show_progress:
_inputs = progress(
inputs,
desc=(
f"Using {self.get_name()} to compute self "
"influence. Processing batch"
),
total=inputs_len,
)
for batch in _inputs:
batch_jacobian, batch_layer_input = _basic_computation_tracincp_fast(
self,
batch[0:-1],
batch[-1],
self.loss_fn,
self.reduction_type,
)
checkpoint_contribution.append(
torch.sum(batch_jacobian**2, dim=1)
* torch.sum(batch_layer_input**2, dim=1)
* learning_rate
)
# We concatenate the contributions from each batch into a single 1D tensor,
# which represents the contributions for all batches in `inputs`
return torch.cat(checkpoint_contribution, dim=0)
if show_progress:
checkpoints_progress = progress(
desc=(
f"Using {self.get_name()} to compute self "
"influence. Processing checkpoint"
),
total=len(self.checkpoints),
mininterval=0.0,
)
else:
checkpoints_progress = NullProgress()
with checkpoints_progress:
batches_self_tracin_scores = get_checkpoint_contribution(
self.checkpoints[0]
)
checkpoints_progress.update()
# The self influence score for all examples is the sum of contributions from
# each checkpoint
for checkpoint in self.checkpoints[1:]:
batches_self_tracin_scores += get_checkpoint_contribution(checkpoint)
checkpoints_progress.update()
return batches_self_tracin_scores
[docs]
@log_usage()
def self_influence(
self,
inputs: Optional[Union[Tuple[Any, ...], DataLoader]] = None,
show_progress: bool = False,
outer_loop_by_checkpoints: bool = False,
) -> Tensor:
"""
Computes self influence scores for the examples in `inputs`, which is
either a single batch or a Pytorch `DataLoader` that yields batches.
If `inputs` is not specified or `None` calculates self influence
score for the training dataset `train_dataset`. Note that if `inputs`
is a single batch, this will call `model` on that single batch,
and if `inputs` yields batches, this will call `model`
on each batch that is yielded. Therefore, please ensure that for both cases,
the batch(es) that `model` is called with are not too large, so that
there will not be an out-of-memory error.
Internally, this computation requires iterating both over the batches in
`inputs`, as well as different model checkpoints. There are two ways
this iteration can be done. If `outer_loop_by_checkpoints` is False, the outer
iteration will be over batches, and the inner iteration will be over
checkpoints. This has the pro that displaying the progress of the computation
is more intuitive, involving displaying the number of batches for which self
influence scores have been computed. If `outer_loop_by_checkpoints` is True,
the outer iteration will be over checkpoints, and the inner iteration will be
over batches. This has the pro that the checkpoints do not need to be loaded
for each batch. For large models, loading checkpoints can be time-intensive.
Args:
inputs (tuple or DataLoader, optional): This specifies the
dataset for which self influence scores will be computed.
Either a single tuple of any, or a `DataLoader`, where each
batch yielded is a tuple of type any. In either case, the tuple
represents a single batch, where the last element is assumed to
be the labels for the batch. That is, `model(*batch[0:-1])`
produces the output for `model`, and `batch[-1]` are the labels,
if any. This is the same assumption made for each batch yielded
by training dataset `train_dataset`. Please see documentation for
the `train_dataset` argument to `TracInCP.__init__` for
more details on the assumed structure of a batch. If not provided
or `None`, self influence scores will be computed for training
dataset `train_dataset`, which yields batches satisfying the
above assumptions.
Default: None.
show_progress (bool, optional): Computation of self influence scores can
take a long time if `inputs` represents many examples. If
`show_progress`is true, the progress of this computation will be
displayed. In more detail, if `outer_loop_by_checkpoints` is False,
this computation will iterate over all batches in an outer loop.
Thus if `show_progress` is True, the number of batches for which
self influence scores have been computed will be displayed. If
`outer_loop_by_checkpoints` is True, this computation will iterate
over all checkpoints (provided as the `checkpoints` initialization
argument) in an outer loop, and iterate over all batches that
`inputs` represents in an inner loop. Thus if
`show_progress` is True, the progress of both the outer
iteration and the inner iterations will be displayed. To show
progress, it will try to use tqdm if available for advanced
features (e.g. time estimation). Otherwise, it will fallback to a
simple output of progress.
Default: False
outer_loop_by_checkpoints (bool, optional): If performing an outer
iteration over checkpoints; see method description for more
details.
Default: False
"""
inputs = inputs if inputs is not None else self.train_dataloader
if outer_loop_by_checkpoints:
return self._self_influence_by_checkpoints(inputs, show_progress)
return _self_influence_by_batches_helper(
self._self_influence_by_checkpoints,
self.get_name(),
inputs,
show_progress,
)
def _basic_computation_tracincp_fast(
influence_instance: TracInCPFast,
inputs: Tuple[Any, ...],
targets: Tensor,
loss_fn: Optional[Union[Module, Callable]] = None,
reduction_type: Optional[str] = None,
):
"""
For instances of TracInCPFast and children classes, computation of influence scores
or self influence scores repeatedly calls this function for different checkpoints
and batches. These computations involve a loss function. If `test` is True, the
loss function is `self.loss_fn`. If `test` is False, the loss function is
`self.test_loss_fn`. These two attributes were set in initialization, with
`self.loss_fn` equal to the `loss_fn` initialization argument, and
`self.test_loss_fn` equal to the `test_loss_fn` initialization argument if it was
provided, and `loss_fn` otherwise.
Args:
influence_instance (TracInCPFast): A instance of TracInCPFast or its children.
We assume `influence_instance` has a `loss_fn` attribute, i.e. the loss
function applied to the output of the last fully-connected layer, as
well as a `reduction_type` attribute, which indicates whether `loss_fn`
reduces the per-example losses by using their mean or sum. The
`reduction_type` attribute must either be "mean" or "sum".
inputs (tuple[Any, ...]): A batch of examples, which could be a training batch
or test batch, depending which method is the caller. Does not
represent labels, which are passed as `targets`. The assumption is
that `model(*inputs)` produces the predictions for the batch.
targets (Tensor): If computing influence scores on a loss function,
these are the labels corresponding to the batch `inputs`.
loss_fn (Callable, optional): The loss function to use when computing the
jacobian.
reduction_type (str, optional): The reduction type of `loss_fn`. This argument
is only used if `sample_wise_grads_per_batch` was true in
initialization of `influence_instance`.
Returns:
(input_jacobians, layer_inputs) (tuple): `input_jacobians` is a 2D tensor,
where each row is the jacobian of the loss, with respect to the
*output* of the last fully-connected layer. `layer_inputs` is a 1D
tensor, where each row is the *input* to the last fully-connected
layer. For both, the length is the number of examples in the batch
represented by `inputs` and `targets`.
"""
layer_inputs: Dict[device, Tuple[Tensor, ...]] = defaultdict()
lock = threading.Lock()
def hook_wrapper(original_module):
def _capture_inputs(layer, input, output) -> None:
r"""Save activations into layer_inputs in forward pass"""
with lock:
is_eval_tuple = isinstance(input, tuple)
if is_eval_tuple:
layer_inputs_val = tuple(inp.detach() for inp in input)
else:
layer_inputs_val = input.detach()
layer_inputs[layer_inputs_val[0].device] = layer_inputs_val
return _capture_inputs
assert isinstance(influence_instance.final_fc_layer, Module)
handle = influence_instance.final_fc_layer.register_forward_hook(
hook_wrapper(influence_instance.final_fc_layer)
)
out = influence_instance.model(*inputs)
assert loss_fn is not None, "loss function is required"
assert reduction_type in [
"sum",
"mean",
], 'reduction_type must be either "mean" or "sum"'
input_jacobians = _jacobian_loss_wrt_inputs(
loss_fn,
out,
targets,
influence_instance.vectorize,
reduction_type,
)
handle.remove()
device_ids = cast(
Union[None, List[int]],
influence_instance.model.device_ids
if hasattr(influence_instance.model, "device_ids")
else None,
)
key_list = _sort_key_list(list(layer_inputs.keys()), device_ids)
_layer_inputs = _gather_distributed_tensors(layer_inputs, key_list=key_list)[0]
assert len(input_jacobians.shape) == 2
return input_jacobians, _layer_inputs
[docs]
class TracInCPFastRandProj(TracInCPFast):
r"""
A version of TracInCPFast which is optimized for "interactive" calls to
`influence` for the purpose of calculating proponents / opponents, or
influence scores. "Interactive" means there will be multiple calls to
`influence`, with each call for a different batch of test examples, and
subsequent calls rely on the results of previous calls. The implementation in
this class has been optimized so that each call to `influence` is fast, so that
it can be used for interactive analysis. This class should only be used for
interactive use cases. It should not be used if `influence` will only be
called once, because to enable fast calls to `influence`, time and memory
intensive preprocessing is required in `__init__`. Furthermore, it should not
be used to calculate self influence scores - `TracInCPFast` should be used
instead for that purpose. To enable interactive analysis, this implementation
computes and saves "embedding" vectors for all training examples in
`train_dataset`. Crucially, the influence score of a training
example on a test example is simply the dot-product of their corresponding
vectors, and proponents / opponents can be found by first storing vectors for
training examples in a nearest-neighbor data structure, and then finding the
nearest-neighbors for a test example in terms of dot-product (see appendix F
of the TracIn paper). This class should only be used if calls to `influence`
to obtain proponents / opponents or influence scores will be made in an
"interactive" manner, and there is sufficient memory to store vectors for the
entire `train_dataset`. This is because in order to enable interactive
analysis, this implementation incures overhead in `__init__` to setup the
nearest-neighbors data structure, which is both time and memory intensive, as
vectors corresponding to all training examples needed to be stored. To reduce
memory usage, this implementation enables random projections of those vectors.
Note that the influence scores computed with random projections are less
accurate, though correct in expectation.
In more detail regarding the "embedding" vectors - the influence of a training
example on a test example, when only considering gradients in the last
fully-connected layer, the sum of the contribution from each checkpoint. The
contribution from a given checkpoint is
:math`(x^T x')(\nabla_y f(y)^T \nabla_{y'} f(y'))`, using the notation in the
description of `TracInCPFast`. As is, this is not a dot-product of 2 vectors.
However, we can rewrite that contribution as
:math`(x \nabla_y f(y)^T) \dot (x' f(y')^T)`. Both terms in this
product are 2D matrices, as they are outer products, and the "product" is actually
a dot-product, treating both matrices as vectors. Therefore, for a given
checkpoint, its contribution to the "embedding" of an example is just the
outer-product :math`(x \nabla_y f(y)^T)`, flattened. Furthemore, to reduce the
dimension of this contribution, we can right-multiply and
left-multiply the outer-product with two separate projection matrices. These
transform :math`\nabla_y f(y)` and :math`x` to lower dimensional vectors. While
the dimension of these two lower dimensional vectors do not necessarily need to
be the same, in our implementation, we let them be the same, both equal to the
square root of the desired projection dimension. Finally, the embedding of an
example is the concatenation of the contributions from each checkpoint.
"""
def __init__(
self,
model: Module,
final_fc_layer: Union[Module, str],
train_dataset: Union[Dataset, DataLoader],
checkpoints: Union[str, List[str], Iterator],
checkpoints_load_func: Callable = _load_flexible_state_dict,
loss_fn: Optional[Union[Module, Callable]] = None,
batch_size: Union[int, None] = 1,
test_loss_fn: Optional[Union[Module, Callable]] = None,
vectorize: bool = False,
nearest_neighbors: Optional[NearestNeighbors] = None,
projection_dim: int = None,
seed: int = 0,
) -> None:
r"""
Args:
model (torch.nn.Module): An instance of pytorch model. This model should
define all of its layers as attributes of the model.
final_fc_layer (torch.nn.Module or str): The last fully connected layer in
the network for which gradients will be approximated via fast random
projection method. Can be either the layer module itself, or the
fully qualified name of the layer if it is a defined attribute of
the passed `model`.
train_dataset (torch.utils.data.Dataset or torch.utils.data.DataLoader):
In the `influence` method, we compute the influence score of
training examples on examples in a test batch.
This argument represents the training dataset containing those
training examples. In order to compute those influence scores, we
will create a Pytorch DataLoader yielding batches of training
examples that is then used for processing. If this argument is
already a Pytorch Dataloader, that DataLoader can be directly
used for processing. If it is instead a Pytorch Dataset, we will
create a DataLoader using it, with batch size specified by
`batch_size`. For efficiency purposes, the batch size of the
DataLoader used for processing should be as large as possible, but
not too large, so that certain intermediate quantities created
from a batch still fit in memory. Therefore, if
`train_dataset` is a Dataset, `batch_size` should be large.
If `train_dataset` was already a DataLoader to begin with,
it should have been constructed to have a large batch size. It is
assumed that the Dataloader (regardless of whether it is created
from a Pytorch Dataset or not) yields tuples. For a `batch` that is
yielded, of length `L`, it is assumed that the forward function of
`model` accepts `L-1` arguments, and the last element of `batch` is
the label. In other words, `model(*batch[:-1])` gives the output of
`model`, and `batch[-1]` are the labels for the batch.
checkpoints (str, list[str], or Iterator): Either the directory of the
path to store and retrieve model checkpoints, a list of
filepaths with checkpoints from which to load, or an iterator which
returns objects from which to load checkpoints.
checkpoints_load_func (Callable, optional): The function to load a saved
checkpoint into a model to update its parameters, and get the
learning rate if it is saved. By default uses a utility to load a
model saved as a state dict.
Default: _load_flexible_state_dict
loss_fn (Callable, optional): The loss function applied to model. `loss_fn`
must be a "reduction" loss function that reduces the per-example
losses in a batch, and returns a single scalar Tensor. Furthermore,
the reduction must be the *sum* of the per-example losses. For
instance, `nn.BCELoss(reduction="sum")` is acceptable, but
`nn.BCELoss(reduction="mean")` is *not* acceptable.
Default: None
batch_size (int or None, optional): Batch size of the DataLoader created to
iterate through `train_dataset`, if it is a Dataset.
`batch_size` should be chosen as large as possible so that certain
intermediate quantities created from a batch still fit in memory.
Specific implementations of `TracInCPBase` will detail the size of
the intermediate quantities. `batch_size` must be an int if
`train_dataset` is a Dataset. If `train_dataset`
is a DataLoader, then `batch_size` is ignored as an argument.
Default: 1
test_loss_fn (Callable, optional): In some cases, one may want to use a
separate loss functions for training examples, i.e. those in
`train_dataset`, and for test examples, i.e. those
represented by the `inputs` and `targets` arguments to the
`influence` method. For example, if one wants to calculate the
influence score of a training example on a test example's
prediction for a fixed class, `test_loss_fn` could map from the
logits for all classes to the logits for a fixed class.
`test_loss_fn` needs satisfy the same constraints as `loss_fn`.
Thus, the same checks that we apply to `loss_fn` are also applied
to `test_loss_fn`, if the latter is provided. If not provided, the
loss function for test examples is assumed to be the same as the
loss function for training examples, i.e. `loss_fn`.
vectorize (bool): Flag to use experimental vectorize functionality
for `torch.autograd.functional.jacobian`.
Default: False
nearest_neighbors (NearestNeighbors, optional): The NearestNeighbors
instance for finding nearest neighbors. If None, defaults to
`AnnoyNearestNeighbors(n_trees=10)`.
Default: None
projection_dim (int, optional): Each example will be represented in
the nearest neighbors data structure with a vector. This vector
is the concatenation of several "checkpoint vectors", each of which
is computed using a different checkpoint in the `checkpoints`
argument. If `projection_dim` is an int, it represents the
dimension we will project each "checkpoint vector" to, so that the
vector for each example will be of dimension at most
`projection_dim` * C, where C is the number of checkpoints.
Regarding the dimension of each vector, D: Let I be the dimension
of the output of the last fully-connected layer times the dimension
of the input of the last fully-connected layer. If `projection_dim`
is not `None`, then D = min(I * C, `projection_dim` * C).
Otherwise, D = I * C. In summary, if `projection_dim` is None, the
dimension of this vector will be determined by the size of the
input and output of the last fully-connected layer of `model`, and
the number of checkpoints. Otherwise, `projection_dim` must be an
int, and random projection will be performed to ensure that the
vector is of dimension no more than `projection_dim` * C.
`projection_dim` corresponds to the variable d in the top of page
15 of the TracIn paper: https://arxiv.org/abs/2002.08484.
Default: None
seed (int, optional): Because this implementation chooses a random
projection, its output is random. Setting this seed specifies the
random seed when choosing the random projection.
Default: 0
"""
TracInCPFast.__init__(
self,
model,
final_fc_layer,
train_dataset,
checkpoints,
checkpoints_load_func,
loss_fn,
batch_size,
test_loss_fn,
vectorize,
)
warnings.warn(
(
"WARNING: Using this implementation stores quantities related to the "
"entire `train_dataset` in memory, and may results in running "
"out of memory. If this happens, consider using %s instead, for which "
"each call to `influence` to compute influence scores or proponents "
"will be slower, but may avoid running out of memory."
)
% "`TracInCPFast`"
)
self.nearest_neighbors = (
AnnoyNearestNeighbors() if nearest_neighbors is None else nearest_neighbors
)
self.projection_dim = projection_dim
torch.manual_seed(seed) # for reproducibility
self.projection_quantities = self._set_projections_tracincp_fast_rand_proj(
self.train_dataloader,
)
self.src_intermediate_quantities = (
self._get_intermediate_quantities_tracincp_fast_rand_proj(
self.train_dataloader,
self.projection_quantities,
)
)
self._process_src_intermediate_quantities_tracincp_fast_rand_proj(
self.src_intermediate_quantities,
)
def _influence( # type: ignore[override]
self,
inputs: Tuple[Any, ...],
) -> Tensor:
r"""
Args:
inputs (tuple): `inputs` is the test batch and is a tuple of
any, where the last element is assumed to be the labels for the
batch. That is, `model(*batch[0:-1])` produces the output for
`model`, and `batch[-1]` are the labels, if any. This is the same
assumption made for each batch yielded by training dataset
`train_dataset` - please see its documentation in `__init__` for
more details on the assumed structure of a batch.
Returns:
influence_scores (Tensor): Influence scores from the `TracInCPFastRandProj`
method. Its shape is `(input_size, train_dataset_size)`, where `input_size`
is the number of examples in the test batch, and
`train_dataset_size` is the number of examples in
training dataset `train_dataset`. For example:
`influence_scores[i][j]` is the influence score for the j-th training
example to the i-th example in the test batch.
"""
# TODO: after D35721609 lands, use helper function
# `TracInCP._influence_rand_proj` here to avoid duplicated logic
input_projections = self._get_intermediate_quantities_tracincp_fast_rand_proj(
inputs,
self.projection_quantities,
test=True,
)
src_projections = self.src_intermediate_quantities
return torch.matmul(input_projections, src_projections.T)
def _get_k_most_influential( # type: ignore[override]
self,
inputs: Tuple[Any, ...],
k: int = 5,
proponents: bool = True,
) -> KMostInfluentialResults:
r"""
Args:
inputs (tuple): `inputs` is the test batch and is a tuple of
any, where the last element is assumed to be the labels for the
batch. That is, `model(*batch[0:-1])` produces the output for
`model`, and `batch[-1]` are the labels, if any. This is the same
assumption made for each batch yielded by training dataset
`train_dataset` - please see its documentation in `__init__` for
more details on the assumed structure of a batch.
k (int, optional): The number of proponents or opponents to return per test
example.
Default: 5
proponents (bool, optional): Whether seeking proponents (`proponents=True`)
or opponents (`proponents=False`)
Default: True
Returns:
(indices, influence_scores) (namedtuple): `indices` is a torch.long Tensor
that contains the indices of the proponents (or opponents) for each
test example. Its dimension is `(inputs_batch_size, k)`, where
`inputs_batch_size` is the number of examples in `inputs`. For
example, if `proponents==True`, `indices[i][j]` is the index of the
example in training dataset `train_dataset` with the
k-th highest influence score for the j-th example in `inputs`.
`indices` is a `torch.long` tensor so that it can directly be used
to index other tensors. Each row of `influence_scores` contains the
influence scores for a different test example, in sorted order. In
particular, `influence_scores[i][j]` is the influence score of
example `indices[i][j]` in training dataset `train_dataset`
on example `i` in the test batch represented by `inputs`.
"""
input_projections = self._get_intermediate_quantities_tracincp_fast_rand_proj(
inputs,
self.projection_quantities,
test=True,
)
multiplier = 1 if proponents else -1
input_projections *= multiplier
indices, distances = self.nearest_neighbors.get_nearest_neighbors(
input_projections, k
)
distances *= multiplier
return KMostInfluentialResults(indices, distances)
[docs]
@log_usage()
def self_influence(
self,
inputs: Optional[Union[Tuple[Any, ...], DataLoader]] = None,
show_progress: bool = False,
outer_loop_by_checkpoints: bool = False,
) -> Tensor:
"""
NOT IMPLEMENTED - no need to implement `TracInCPFastRandProj.self_influence`,
as `TracInCPFast.self_influence` is sufficient - the latter does not benefit
from random projections, since no quantities associated with a training
example are stored (other than its self influence score)
Computes self influence scores for a single batch or a Pytorch `DataLoader`
that yields batches. Note that if `inputs` is a single batch, this
will call `model` on that single batch, and if `inputs` yields
batches, this will call `model` on each batch that is yielded. Therefore,
please ensure that for both cases, the batch(es) that `model` is called
with are not too large, so that there will not be an out-of-memory error.
Args:
inputs (tuple or DataLoader): Either a single tuple of any, or a
`DataLoader`, where each batch yielded is a tuple of any. In
either case, the tuple represents a single batch, where the last
element is assumed to be the labels for the batch. That is,
`model(*batch[0:-1])` produces the output for `model`,
and `batch[-1]` are the labels, if any. This is the same
assumption made for each batch yielded by training dataset
`train_dataset`. Please see documentation for the
`train_dataset` argument to `TracInCP.__init__` for
more details on the assumed structure of a batch.
show_progress (bool, optional): Computation of self influence scores can
take a long time if `inputs` represents many examples. If
`show_progress` is true, the progress of this computation will be
displayed. In more detail, this computation will iterate over all
checkpoints (provided as the `checkpoints` initialization argument)
and all batches that `inputs` represents. Therefore, the
total number of (checkpoint, batch) combinations that need to be
iterated over is
(# of checkpoints x # of batches that `inputs` represents).
If `show_progress` is True, the total number of such combinations
that have been iterated over is displayed. It will try to use tqdm
if available for advanced features (e.g. time estimation).
Otherwise, it will fallback to a simple output of progress.
Default: False
outer_loop_by_checkpoints (bool, optional): If performing an outer
iteration over checkpoints; see method description for more
details.
Default: False
Returns:
self_influence_scores (Tensor): This is a 1D tensor containing the self
influence scores of all examples in `inputs`, regardless of
whether it represents a single batch or a `DataLoader` that yields
batches.
"""
warnings.warn(
(
"WARNING: If calculating self influence scores, when only considering "
"gradients with respect to the last fully-connected layer, "
"`TracInCPFastRandProj` should not be used. Instead, please use "
"`TracInCPFast`. This is because when calculating self influence "
"scores, no quantities associated with a training example are stored "
"so that memory-saving benefit of the random projections used by "
"`TracInCPFastRandProj`needed. Further considering the fact that "
"random projections results only in approximate self influence "
"scores, there is no reason to use `TracInCPFastRandProj` when "
"calculating self influence scores."
)
)
raise NotImplementedError
[docs]
@log_usage()
def influence( # type: ignore[override]
self,
inputs: Optional[Tuple[Any, ...]] = None,
k: int = 5,
proponents: bool = True,
) -> Union[Tensor, KMostInfluentialResults]:
r"""
This is the key method of this class, and can be run in 2 different modes,
where the mode that is run depends on the arguments passed to this method:
- influence score mode: This mode is used if `k` is None. This mode computes
the influence score of every example in training dataset `train_dataset`
on every example in the test batch represented by `inputs`.
- k-most influential mode: This mode is used if `k` is not None, and an int.
This mode computes the proponents or opponents of every example in the
test batch represented by `inputs`. In particular, for each test example in
the test batch, this mode computes its proponents (resp. opponents),
which are the indices in the training dataset `train_dataset` of the
training examples with the `k` highest (resp. lowest) influence scores on the
test example. Proponents are computed if `proponents` is True. Otherwise,
opponents are computed. For each test example, this method also returns the
actual influence score of each proponent (resp. opponent) on the test
example.
Args:
inputs (tuple): `inputs` is the test batch and is a tuple of
any, where the last element is assumed to be the labels for the
batch. That is, `model(*batch[0:-1])` produces the output for
`model`, and `batch[-1]` are the labels, if any. This is the same
assumption made for each batch yielded by training dataset
`train_dataset` - please see its documentation in `__init__` for
more details on the assumed structure of a batch.
k (int, optional): If not provided or `None`, the influence score mode will
be run. Otherwise, the k-most influential mode will be run,
and `k` is the number of proponents / opponents to return per
example in the test batch.
Default: None
proponents (bool, optional): Whether seeking proponents (`proponents=True`)
or opponents (`proponents=False`), if running in k-most influential
mode.
Default: True
Returns:
The return value of this method depends on which mode is run.
- influence score mode: if this mode is run (`k` is None), returns a 2D
tensor `influence_scores` of shape `(input_size, train_dataset_size)`,
where `input_size` is the number of examples in the test batch, and
`train_dataset_size` is the number of examples in training dataset
`train_dataset`. In other words, `influence_scores[i][j]` is the
influence score of the `j`-th example in `train_dataset` on the `i`-th
example in the test batch.
- k-most influential mode: if this mode is run (`k` is an int), returns
a namedtuple `(indices, influence_scores)`. `indices` is a 2D tensor of
shape `(input_size, k)`, where `input_size` is the number of examples in
the test batch. If computing proponents (resp. opponents),
`indices[i][j]` is the index in training dataset `train_dataset` of the
example with the `j`-th highest (resp. lowest) influence score (out of
the examples in `train_dataset`) on the `i`-th example in the test
batch. `influence_scores` contains the corresponding influence scores.
In particular, `influence_scores[i][j]` is the influence score of example
`indices[i][j]` in `train_dataset` on example `i` in the test batch
represented by `inputs`.
"""
assert inputs is not None, (
"`inputs` argument is required."
"`TracInCPFastRandProj` does not support computing self influence scores"
"Even if it did, one would use the `self_influence` method."
)
return _influence_route_to_helpers(
self,
inputs,
k,
proponents,
)
def _set_projections_tracincp_fast_rand_proj(
self,
dataloader: DataLoader,
) -> Optional[Tuple[torch.Tensor, torch.Tensor]]:
"""
returns the variables `jacobian_projection` and `layer_input_projection`
if needed, based on `self.projection_dim`. The two variables are
used by `self._get_intermediate_quantities_fast_rand_proj`. They are both None
if projection is not needed, due to the intermediate quantities (see the
`_get_intermediate_quantities_fast_rand_proj` method for details) being no
greater than `self.projection_dim` * C even without projection, where C is the
number of checkpoints in the `checkpoints` argument to
`TracInCPFastRandProj.__init__`.
Args:
dataloader (DataLoader): determining the projection requires knowing the
dimensionality of the last layer's parameters (`jacobian_dim`
below) and its input (`layer_input_dim` below). These are
determined by passing a batch to `model`. `dataloader`
provides that batch.
Returns:
jacobian_projection (Tensor or None): Projection matrix to apply to
Jacobian of last layer to reduce its dimension, if needed.
None otherwise.
input_projection (Tensor or None): Projection matrix to apply to input of
last layer to reduce its dimension, if needed. None otherwise.
"""
# figure out projection dimensions, if needed
projection_dim = self.projection_dim
projection_quantities = None
if not (projection_dim is None):
# figure out original dimensions by looking at data, passing through network
self.checkpoints_load_func(self.model, next(iter(self.checkpoints)))
batch = next(iter(dataloader))
batch_jacobians, batch_layer_inputs = _basic_computation_tracincp_fast(
self,
batch[0:-1],
batch[-1],
self.loss_fn,
self.reduction_type,
)
jacobian_dim = batch_jacobians.shape[
1
] # this is the dimension of the output of the last fully-connected layer
layer_input_dim = batch_layer_inputs.shape[
1
] # this is the dimension of the input of the last fully-connected layer
device = batch_jacobians.device
dtype = batch_jacobians.dtype
# choose projection if needed
# without projection, the dimension of the intermediate quantities returned
# by `_get_intermediate_quantities_fast_rand_proj` will be
# `jacobian_dim` * `layer_input_dim` * number of checkpoints
# this is because for each checkpoint, we compute a "partial" intermediate
# quantity, and the intermediate quantity is the concatenation of the
# "partial" intermediate quantities, and the dimension of each "partial"
# intermediate quantity, without projection, is `jacobian_dim` *
# `layer_input_dim`. However, `projection_dim` refers to the maximum
# allowable dimension of the "partial" intermediate quantity. Therefore,
# we only project if `jacobian_dim` * `layer_input_dim` > `projection_dim`.
# `projection_dim` corresponds to the variable d in the top of page 15 of
# the TracIn paper: https://arxiv.org/abs/2002.08484.
if jacobian_dim * layer_input_dim > projection_dim:
jacobian_projection_dim = min(int(projection_dim**0.5), jacobian_dim)
layer_input_projection_dim = min(
int(projection_dim**0.5), layer_input_dim
)
jacobian_projection = torch.normal(
torch.zeros(jacobian_dim, jacobian_projection_dim),
1.0 / jacobian_projection_dim**0.5,
)
layer_input_projection = torch.normal(
torch.zeros(layer_input_dim, layer_input_projection_dim),
1.0 / layer_input_projection_dim**0.5,
)
projection_quantities = jacobian_projection.to(
device=device, dtype=dtype
), layer_input_projection.to(device=device, dtype=dtype)
return projection_quantities
def _process_src_intermediate_quantities_tracincp_fast_rand_proj(
self,
src_intermediate_quantities: torch.Tensor,
):
"""
Assumes `self._get_intermediate_quantities_tracin_fast_rand_proj` returns
vector representations for each example, and that influence between a
training and test example is obtained by taking the dot product of their
vector representations. In this case, given a test example, its proponents
can be found by storing the vector representations for training examples
into a data structure enablng fast largest-dot-product computation. This
method creates that data structure. This method has side effects.
Args:
src_intermediate_quantities (Tensor): the output of the
`_get_intermediate_quantities_tracin_fast_rand_proj` function when
applied to training dataset `train_dataset`. This
output is the vector representation of all training examples.
The dot product between the representation of a training example
and the representation of a test example gives the influence score
of the training example on the test example.
"""
self.nearest_neighbors.setup(src_intermediate_quantities)
def _get_intermediate_quantities_tracincp_fast_rand_proj(
self,
inputs: Union[Tuple[Any, ...], DataLoader],
projection_quantities: Optional[Tuple[torch.Tensor, torch.Tensor]],
test: bool = False,
) -> torch.Tensor:
r"""
This method computes vectors that can be used to compute influence. (see
Appendix F, page 15). Crucially, the influence score between a test example
and a training example is simply the dot product of their respective
vectors. This means that the training example with the largest influence score
on a given test example can be found using a nearest-neighbor (more
specifically, largest dot-product) data structure.
Args:
inputs (Tuple, or DataLoader): Either a single tuple of any, or a
`DataLoader`, where each batch yielded is a tuple of any. In
either case, the tuple represents a single batch, where the last
element is assumed to be the labels for the batch. That is,
`model(*batch[0:-1])` produces the output for `model`, and
and `batch[-1]` are the labels, if any. Here, `model` is model
provided in initialization. This is the same assumption made for
each batch yielded by training dataset `train_dataset`. Please see
documentation for the `train_dataset` argument to
`TracInCPFastRandProj.__init__` for more details on the assumed
structure of a batch.
projection_quantities (tuple or None): Is either the two tensors defining
the randomized projections to apply, or None, which means no
projection is to be applied.
test (bool): If True, the intermediate quantities are computed using
`self.test_loss_fn`. Otherwise, they are computed using
`self.loss_fn`.
Default: False
Returns:
intermediate_quantities (Tensor): A tensor of dimension
(N, D * C), where N is total number of examples in `dataloader`, C
is the number of checkpoints passed as the `checkpoints` argument
of `TracInCPFastRandProj.__init__`, and each row represents the
vector for an example. Regarding D: Let I be the dimension of the
output of the last fully-connected layer times the dimension of the
input of the last fully-connected layer. If `self.projection_dim`
is specified in initialization,
D = min(I * C, `self.projection_dim` * C). Otherwise, D = I * C.
In summary, if `self.projection_dim` is None, the dimension of each
vector will be determined by the size of the input and output of
the last fully-connected layer of `model`. Otherwise,
`self.projection_dim` must be an int, and random projection will be
performed to ensure that the vector is of dimension no more than
`self.projection_dim` * C. `self.projection_dim` corresponds to
the variable d in the top of page 15 of the TracIn paper:
https://arxiv.org/abs/2002.08484.
"""
# if `inputs` is not a `DataLoader`, turn it into one.
inputs = _format_inputs_dataset(inputs)
# internally, whether `projection_quantities` is None determines whether
# any projection will be applied to reduce the dimension of the "embedding"
# vectors. If projection will be applied, there are actually 2 different
# projection matrices - one to project the `input_jacobians`, and one to
# project the `layer_inputs`. See below for details of those two quantities.
# here, we extract the corresponding projection matrices for those two
# quantities, if doing projection. Note that the same projections are used
# for each checkpoint.
project = False
if projection_quantities is not None:
project = True
jacobian_projection, layer_input_projection = projection_quantities
# for each checkpoint, we will populate a list containing the contribution of
# the checkpoint for each batch
checkpoint_contributions: List[Union[List, Tensor]] = [
[] for _ in self.checkpoints
]
# the "embedding" vector is the concatenation of contributions from each
# checkpoint, which we compute one by one
for (j, checkpoint) in enumerate(self.checkpoints):
assert (
checkpoint is not None
), "None returned from `checkpoints`, cannot load."
learning_rate = self.checkpoints_load_func(self.model, checkpoint)
learning_rate_root = learning_rate**0.5
# after loading a checkpoint, we compute the contribution of that
# checkpoint, for *all* batches (instead of a single batch). this enables
# increased efficiency.
for batch in inputs:
# compute `input_jacobians` and `layer_inputs`, for a given checkpoint
# using a helper function. `input_jacobians` is a 2D tensor,
# where each row is the jacobian of the loss, with respect to the
# *output* of the last fully-connected layer. `layer_inputs` is a 2D
# tensor, where each row is the *input* to the last fully-connected
# layer. For both, the length is the number of examples in `batch`
input_jacobians, layer_inputs = _basic_computation_tracincp_fast(
self,
batch[0:-1],
batch[-1],
self.test_loss_fn,
self.test_reduction_type,
)
# if doing projection, project those two quantities
if project:
input_jacobians = torch.matmul(input_jacobians, jacobian_projection)
layer_inputs = torch.matmul(layer_inputs, layer_input_projection)
# for an example, the contribution to the "embedding" vector from each
# checkpoint is the outer product of its `input_jacobian` and its
# `layer_input`, flattened to a 1D tensor. here, we perform this
# for the entire batch. we append the contribution to a list containing
# the contribution of all batches, from the checkpoint.
cast(list, checkpoint_contributions[j]).append(
torch.matmul(
torch.unsqueeze(
input_jacobians, 2
), # size is (batch_size, output_size, 1)
torch.unsqueeze(
layer_inputs, 1
), # size is (batch_size, 1, input_size)
).flatten(
start_dim=1
) # matmul does a batched matrix multiplication to return a 3D
# tensor. each element along the batch (0-th) dimension is the
# matrix product of a (output_size, 1) and (1, input_size) tensor
# in other words, each element is an outer product, and the matmul
# is just doing a batched outer product. this is what we want, as
# the contribution to the "embedding" for an example is the outer
# product of the last layer's input and the gradient of its output.
# finally, we flatten the 3rd dimension so that the contribution to
# the embedding for this checkpoint is a 2D tensor, i.e. each
# example's contribution to the embedding is a 1D tensor.
* learning_rate_root
)
# once we have computed the contribution from each batch, for a given
# checkpoint, we concatenate them along the batch dimension to get a
# single 2D tensor for that checkpoint
checkpoint_contributions[j] = torch.cat(
checkpoint_contributions[j], dim=0 # type: ignore
)
# finally, we concatenate along the checkpoint dimension, to get a tensor of
# shape (batch_size, projection_dim * number of checkpoints)
# each row in this result is the "embedding" vector for an example in `batch`
return torch.cat(checkpoint_contributions, dim=1) # type: ignore
[docs]
@log_usage()
def compute_intermediate_quantities(
self,
inputs: Union[Tuple[Any, ...], DataLoader],
) -> Tensor:
"""
Computes "embedding" vectors for all examples in a single batch, or a
`Dataloader` that yields batches. These embedding vectors are constructed so
that the influence score of a training example on a test example is simply the
dot-product of their corresponding vectors. Please see the documentation for
`TracInCPFastRandProj.__init__` for more details. Allowing a `DataLoader`
yielding batches to be passed in (as opposed to a single batch) gives the
potential to improve efficiency, because we load each checkpoint only once in
this method call. Thus if a `DataLoader` yielding batches is passed in, this
reduces the total number of times each checkpoint is loaded for a dataset,
compared to if a single batch is passed in. The reason we do not just increase
the batch size is that for large models, large batches do not fit in memory.
Args:
inputs (Tuple, or DataLoader): Either a single tuple of any, or a
`DataLoader`, where each batch yielded is a tuple of any. In
either case, the tuple represents a single batch, where the last
element is assumed to be the labels for the batch. That is,
`model(*batch[0:-1])` produces the output for `model`, and
and `batch[-1]` are the labels, if any. Here, `model` is model
provided in initialization. This is the same assumption made for
each batch yielded by training dataset `train_dataset`. Please see
documentation for the `train_dataset` argument to
`TracInCPFastRandProj.__init__` for more details on the assumed
structure of a batch.
Returns:
intermediate_quantities (Tensor): A tensor of dimension
(N, D * C), where N is total number of examples in
`inputs`, C is the number of checkpoints passed as the
`checkpoints` argument of `TracInCPFastRandProj.__init__`, and each
row represents the vector for an example. Regarding D: Let I be the
dimension of the output of the last fully-connected layer times the
dimension of the input of the last fully-connected layer. If
`self.projection_dim` is specified in initialization,
D = min(I * C, `self.projection_dim` * C). Otherwise, D = I * C.
In summary, if `self.projection_dim` is None, the dimension of each
vector will be determined by the size of the input and output of
the last fully-connected layer of `model`. Otherwise,
`self.projection_dim` must be an int, and random projection will be
performed to ensure that the vector is of dimension no more than
`self.projection_dim` * C. `self.projection_dim` corresponds to
the variable d in the top of page 15 of the TracIn paper:
https://arxiv.org/pdf/2002.08484.pdf.
"""
return self._get_intermediate_quantities_tracincp_fast_rand_proj(
inputs, self.projection_quantities
)
```