Module `laplace.utils`

Sub-modules

laplace.utils.feature_extractor
laplace.utils.matrix
laplace.utils.metrics
laplace.utils.subnetmask
laplace.utils.swag
laplace.utils.utils

Functions

def get_nll(out_dist, targets)

def validate(laplace, val_loader, loss, pred_type='glm', link_approx='probit', n_samples=100, loss_with_var=False) ‑> float

def parameters_per_layer(model)

Get number of parameters per layer.

Parameters

model : torch.nn.Module

Returns

params_per_layer : list[int]

def invsqrt_precision(M)

Compute M^{-0.5} as a tridiagonal matrix.

Parameters

M : torch.Tensor

Returns

M_invsqrt : torch.Tensor

def kron(t1, t2)

Computes the Kronecker product between two tensors.

Parameters

t1 : torch.Tensor
t2 : torch.Tensor

Returns

kron_product : torch.Tensor

def diagonal_add_scalar(X, value)

Add scalar value value to diagonal of X.

Parameters

X : torch.Tensor
value : torch.Tensor or float

Returns

X_add_scalar : torch.Tensor

def symeig(M)

Symetric eigendecomposition avoiding failure cases by adding and removing jitter to the diagonal.

Parameters

M : torch.Tensor

Returns

L : torch.Tensor: eigenvalues
W : torch.Tensor: eigenvectors

def block_diag(blocks)

Compose block-diagonal matrix of individual blocks.

Parameters

blocks : list[torch.Tensor]

Returns

M : torch.Tensor

def normal_samples(mean, var, n_samples, generator=None)

Produce samples from a batch of Normal distributions either parameterized by a diagonal or full covariance given by var.

Parameters

mean : torch.Tensor: (batch_size, output_dim)
var : torch.Tensor: (co)variance of the Normal distribution (batch_size, output_dim, output_dim) or (batch_size, output_dim)
generator : torch.Generator: random number generator

def _is_batchnorm(module)

def _is_valid_scalar(scalar: Union[float, int, torch.Tensor]) ‑> bool

def expand_prior_precision(prior_prec, model)

Expand prior precision to match the shape of the model parameters.

Parameters

prior_prec : torch.Tensor 1-dimensional: prior precision
model : torch.nn.Module: torch model with parameters that are regularized by prior_prec

Returns

expanded_prior_prec : torch.Tensor: expanded prior precision has the same shape as model parameters

def fix_prior_prec_structure(prior_prec_init, prior_structure, n_layers, n_params, device)

def fit_diagonal_swag_var(model, train_loader, criterion, n_snapshots_total=40, snapshot_freq=1, lr=0.01, momentum=0.9, weight_decay=0.0003, min_var=1e-30)

Fit diagonal SWAG [1], which estimates marginal variances of model parameters by computing the first and second moment of SGD iterates with a large learning rate.

Implementation partly adapted from: - https://github.com/wjmaddox/swa_gaussian/blob/master/swag/posteriors/swag.py - https://github.com/wjmaddox/swa_gaussian/blob/master/experiments/train/run_swag.py

References

[1] Maddox, W., Garipov, T., Izmailov, P., Vetrov, D., Wilson, AG. A Simple Baseline for Bayesian Uncertainty in Deep Learning. NeurIPS 2019.

Parameters

model : torch.nn.Module
train_loader : torch.data.utils.DataLoader: training data loader to use for snapshot collection
criterion : torch.nn.CrossEntropyLoss or torch.nn.MSELoss: loss function to use for snapshot collection
n_snapshots_total : int: total number of model snapshots to collect
snapshot_freq : int: snapshot collection frequency (in epochs)
lr : float: SGD learning rate for collecting snapshots
momentum : float: SGD momentum
weight_decay : float: SGD weight decay
min_var : float: minimum parameter variance to clamp to (for numerical stability)

Returns

param_variances : torch.Tensor: vector of marginal variances for each model parameter

Classes

class FeatureExtractor (model: torch.nn.modules.module.Module, last_layer_name: Optional[str] = None, enable_backprop: bool = False)

Feature extractor for a PyTorch neural network. A wrapper which can return the output of the penultimate layer in addition to the output of the last layer for each forward pass. If the name of the last layer is not known, it can determine it automatically. It assumes that the last layer is linear and that for every forward pass the last layer is the same. If the name of the last layer is known, it can be passed as a parameter at initilization; this is the safest way to use this class. Based on https://gist.github.com/fkodom/27ed045c9051a39102e8bcf4ce31df76.

Parameters

model : torch.nn.Module: PyTorch model
last_layer_name : str, default=None: if the name of the last layer is already known, otherwise it will be determined automatically.

Initialize internal Module state, shared by both nn.Module and ScriptModule.

Ancestors

torch.nn.modules.module.Module

Methods

def forward(self, x: torch.Tensor) ‑> torch.Tensor

Forward pass. If the last layer is not known yet, it will be determined when this function is called for the first time.

Parameters

x : torch.Tensor: one batch of data to use as input for the forward pass

def forward_with_features(self, x: torch.Tensor) ‑> Tuple[torch.Tensor, torch.Tensor]

Forward pass which returns the output of the penultimate layer along with the output of the last layer. If the last layer is not known yet, it will be determined when this function is called for the first time.

Parameters

x : torch.Tensor: one batch of data to use as input for the forward pass

def set_last_layer(self, last_layer_name: str) ‑> None

Set the last layer of the model by its name. This sets the forward hook to get the output of the penultimate layer.

Parameters

last_layer_name : str: the name of the last layer (fixed in model.named_modules()).

def find_last_layer(self, x: torch.Tensor) ‑> torch.Tensor

Automatically determines the last layer of the model with one forward pass. It assumes that the last layer is the same for every forward pass and that it is an instance of torch.nn.Linear. Might not work with every architecture, but is tested with all PyTorch torchvision classification models (besides SqueezeNet, which has no linear last layer).

Parameters

x : torch.Tensor: one batch of data to use as input for the forward pass

class Kron (kfacs)

Kronecker factored approximate curvature representation for a corresponding neural network. Each element in kfacs is either a tuple or single matrix. A tuple represents two Kronecker factors $Q$ , and $H$ and a single element is just a full block Hessian approximation.

Parameters

kfacs : list[Tuple]: each element in the list is a Tuple of two Kronecker factors Q, H or a single matrix approximating the Hessian (in case of bias, for example)

Static methods

def init_from_model(model, device)

Initialize Kronecker factors based on a models architecture.

Parameters

model : nn.Module or iterable of parameters, e.g. model.parameters()
device : torch.device

Returns

kron : Kron

Methods

def decompose(self, damping=False)

Eigendecompose Kronecker factors and turn into KronDecomposed. Parameters

damping : bool: use damping

Returns

kron_decomposed : KronDecomposed

def bmm(self, W: torch.Tensor, exponent: float = 1) ‑> torch.Tensor

Batched matrix multiplication with the Kronecker factors. If Kron is H, we compute H @ W. This is useful for computing the predictive or a regularization based on Kronecker factors as in continual learning.

Parameters

W : torch.Tensor: matrix (batch, classes, params)
exponent : float, default=1: only can be 1 for Kron, requires KronDecomposed for other exponent values of the Kronecker factors.

Returns

SW : torch.Tensor: result (batch, classes, params)

def logdet(self) ‑> torch.Tensor

Compute log determinant of the Kronecker factors and sums them up. This corresponds to the log determinant of the entire Hessian approximation.

Returns

logdet : torch.Tensor

def diag(self) ‑> torch.Tensor

Extract diagonal of the entire Kronecker factorization.

Returns

diag : torch.Tensor

def to_matrix(self) ‑> torch.Tensor

Make the Kronecker factorization dense by computing the kronecker product. Warning: this should only be used for testing purposes as it will allocate large amounts of memory for big architectures.

Returns

block_diag : torch.Tensor

class KronDecomposed (eigenvectors, eigenvalues, deltas=None, damping=False)

Decomposed Kronecker factored approximate curvature representation for a corresponding neural network. Each matrix in Kron is decomposed to obtain KronDecomposed. Front-loading decomposition allows cheap repeated computation of inverses and log determinants. In contrast to Kron, we can add scalar or layerwise scalars but we cannot add other Kron or KronDecomposed anymore.

Parameters

eigenvectors : list[Tuple[torch.Tensor]]: eigenvectors corresponding to matrices in a corresponding Kron
eigenvalues : list[Tuple[torch.Tensor]]: eigenvalues corresponding to matrices in a corresponding Kron
deltas : torch.Tensor: addend for each group of Kronecker factors representing, for example, a prior precision
dampen : bool, default=False: use dampen approximation mixing prior and Kron partially multiplicatively

Methods

def detach(self)

def logdet(self) ‑> torch.Tensor

Compute log determinant of the Kronecker factors and sums them up. This corresponds to the log determinant of the entire Hessian approximation. In contrast to Kron.logdet(), additive deltas corresponding to prior precisions are added.

Returns

logdet : torch.Tensor

def inv_square_form(self, W: torch.Tensor) ‑> torch.Tensor

def bmm(self, W: torch.Tensor, exponent: float = -1) ‑> torch.Tensor

Batched matrix multiplication with the decomposed Kronecker factors. This is useful for computing the predictive or a regularization loss. Compared to Kron.bmm(), a prior can be added here in form of deltas and the exponent can be other than just 1. Computes $H^{exponent} W$ .

Parameters

W : torch.Tensor: matrix (batch, classes, params)
exponent : float, default=1

Returns

SW : torch.Tensor: result (batch, classes, params)

def diag(self, exponent: float = 1) ‑> torch.Tensor

Extract diagonal of the entire decomposed Kronecker factorization.

Parameters

exponent : float, default=1: exponent of the Kronecker factorization

Returns

diag : torch.Tensor

def to_matrix(self, exponent: float = 1) ‑> torch.Tensor

Make the Kronecker factorization dense by computing the kronecker product. Warning: this should only be used for testing purposes as it will allocate large amounts of memory for big architectures.

Parameters

exponent : float, default=1: exponent of the Kronecker factorization

Returns

block_diag : torch.Tensor

class SubnetMask (model)

Baseclass for all subnetwork masks in this library (for subnetwork Laplace).

Parameters

model : torch.nn.Module

Subclasses

ModuleNameSubnetMask
ParamNameSubnetMask
laplace.utils.subnetmask.ScoreBasedSubnetMask

Instance variables

var indices
var n_params_subnet

Methods

def convert_subnet_mask_to_indices(self, subnet_mask)

Converts a subnetwork mask into subnetwork indices.

Parameters

subnet_mask : torch.Tensor: a binary vector of size (n_params) where 1s locate the subnetwork parameters within the vectorized model parameters (i.e. torch.nn.utils.parameters_to_vector(model.parameters()))

Returns

subnet_mask_indices : torch.LongTensor: a vector of indices of the vectorized model parameters (i.e. torch.nn.utils.parameters_to_vector(model.parameters())) that define the subnetwork

def select(self, train_loader=None)

Select the subnetwork mask.

Parameters

train_loader : torch.data.utils.DataLoader, default=None: each iterate is a training batch (X, y); train_loader.dataset needs to be set to access $N$ , size of the data set

Returns

subnet_mask_indices : torch.LongTensor: a vector of indices of the vectorized model parameters (i.e. torch.nn.utils.parameters_to_vector(model.parameters())) that define the subnetwork

def get_subnet_mask(self, train_loader)

Get the subnetwork mask.

Parameters

train_loader : torch.data.utils.DataLoader: each iterate is a training batch (X, y); train_loader.dataset needs to be set to access $N$ , size of the data set

Returns

subnet_mask : torch.Tensor: a binary vector of size (n_params) where 1s locate the subnetwork parameters within the vectorized model parameters (i.e. torch.nn.utils.parameters_to_vector(model.parameters()))

class RandomSubnetMask (model, n_params_subnet)

Subnetwork mask of parameters sampled uniformly at random.

Ancestors

laplace.utils.subnetmask.ScoreBasedSubnetMask
SubnetMask

Methods

def compute_param_scores(self, train_loader)

Inherited members

SubnetMask:
- convert_subnet_mask_to_indices
- get_subnet_mask
- select

class LargestMagnitudeSubnetMask (model, n_params_subnet)

Subnetwork mask identifying the parameters with the largest magnitude.

Ancestors

laplace.utils.subnetmask.ScoreBasedSubnetMask
SubnetMask

Methods

def compute_param_scores(self, train_loader)

Inherited members

SubnetMask:
- convert_subnet_mask_to_indices
- get_subnet_mask
- select

class LargestVarianceDiagLaplaceSubnetMask (model, n_params_subnet, diag_laplace_model)

Subnetwork mask identifying the parameters with the largest marginal variances (estimated using a diagonal Laplace approximation over all model parameters).

Parameters

model : torch.nn.Module
n_params_subnet : int: number of parameters in the subnetwork (i.e. number of top-scoring parameters to select)
diag_laplace_model : DiagLaplace: diagonal Laplace model to use for variance estimation

Ancestors

laplace.utils.subnetmask.ScoreBasedSubnetMask
SubnetMask

Methods

def compute_param_scores(self, train_loader)

Inherited members

SubnetMask:
- convert_subnet_mask_to_indices
- get_subnet_mask
- select

class LargestVarianceSWAGSubnetMask (model, n_params_subnet, likelihood='classification', swag_n_snapshots=40, swag_snapshot_freq=1, swag_lr=0.01)

Subnetwork mask identifying the parameters with the largest marginal variances (estimated using diagonal SWAG over all model parameters).

Parameters

model : torch.nn.Module
n_params_subnet : int: number of parameters in the subnetwork (i.e. number of top-scoring parameters to select)
likelihood : str: 'classification' or 'regression'
swag_n_snapshots : int: number of model snapshots to collect for SWAG
swag_snapshot_freq : int: SWAG snapshot collection frequency (in epochs)
swag_lr : float: learning rate for SWAG snapshot collection

Ancestors

laplace.utils.subnetmask.ScoreBasedSubnetMask
SubnetMask

Methods

def compute_param_scores(self, train_loader)

Inherited members

SubnetMask:
- convert_subnet_mask_to_indices
- get_subnet_mask
- select

class ParamNameSubnetMask (model, parameter_names)

Subnetwork mask corresponding to the specified parameters of the neural network.

Parameters

model : torch.nn.Module
parameter_names : List[str]: list of names of the parameters (as in model.named_parameters()) that define the subnetwork

Ancestors

SubnetMask

Methods

def get_subnet_mask(self, train_loader): Get the subnetwork mask identifying the specified parameters.

Inherited members

SubnetMask:
- convert_subnet_mask_to_indices
- select

class ModuleNameSubnetMask (model, module_names)

Subnetwork mask corresponding to the specified modules of the neural network.

Parameters

model : torch.nn.Module
parameter_names : List[str]: list of names of the modules (as in model.named_modules()) that define the subnetwork; the modules cannot have children, i.e. need to be leaf modules

Ancestors

SubnetMask

Subclasses

LastLayerSubnetMask

Methods

def get_subnet_mask(self, train_loader): Get the subnetwork mask identifying the specified modules.

Inherited members

SubnetMask:
- convert_subnet_mask_to_indices
- select

class LastLayerSubnetMask (model, last_layer_name=None)

Subnetwork mask corresponding to the last layer of the neural network.

Parameters

model : torch.nn.Module
last_layer_name : str, default=None: name of the model's last layer, if None it will be determined automatically

Ancestors

Methods

def get_subnet_mask(self, train_loader): Get the subnetwork mask identifying the last layer.

Inherited members

ModuleNameSubnetMask:
- convert_subnet_mask_to_indices
- select

class RunningNLLMetric (ignore_index=-100)

NLL metrics that

Parameters

ignore_index : int, default = -100: which class label to ignore when computing the NLL loss

Initialize internal Module state, shared by both nn.Module and ScriptModule.

Ancestors

torchmetrics.metric.Metric
torch.nn.modules.module.Module
abc.ABC

Methods

def update(self, probs: torch.Tensor, targets: torch.Tensor) ‑> None

Parameters

probs : torch.Tensor: probability tensor of shape (…, n_classes)
targets : torch.Tensor: integer tensor of shape (…)

def compute(self)

Override this method to compute the final metric value.

This method will automatically synchronize state variables when running in distributed backend.