added deepvar network

This commit is contained in:
Dr. Kashif Rasul
2020-01-04 11:58:37 +01:00
parent efb70eb204
commit d0f071cafa
2 changed files with 583 additions and 5 deletions
+6 -2
View File
@@ -37,6 +37,7 @@ from .deepvar_network import DeepVARTrainingNetwork, DeepVARPredictionNetwork
class DeepVAREstimator(PTSEstimator):
def __init__(
self,
input_size: int,
freq: str,
prediction_length: int,
target_dim: int,
@@ -44,7 +45,7 @@ class DeepVAREstimator(PTSEstimator):
context_length: Optional[int] = None,
num_layers: int = 2,
num_cells: int = 40,
cell_type: str = "lstm",
cell_type: str = "LSTM",
num_parallel_samples: int = 100,
dropout_rate: float = 0.1,
cardinality: List[int] = [1],
@@ -73,6 +74,7 @@ class DeepVAREstimator(PTSEstimator):
dim=target_dim, rank=rank
)
self.input_size = input_size
self.prediction_length = prediction_length
self.target_dim = target_dim
self.num_layers = num_layers
@@ -180,6 +182,7 @@ class DeepVAREstimator(PTSEstimator):
def create_training_network(self, device: torch.device) -> DeepVARTrainingNetwork:
return DeepVARTrainingNetwork(
input_size=self.input_size,
target_dim=self.target_dim,
num_layers=self.num_layers,
num_cells=self.num_cells,
@@ -199,10 +202,11 @@ class DeepVAREstimator(PTSEstimator):
def create_predictor(
self,
transformation: Transformation,
trained_network: nn.Module,
trained_network: DeepVARTrainingNetwork,
device: torch.device,
) -> Predictor:
prediction_network = DeepVARPredictionNetwork(
input_size=self.input_size,
target_dim=self.target_dim,
num_parallel_samples=self.num_parallel_samples,
num_layers=self.num_layers,
+577 -3
View File
@@ -6,12 +6,586 @@ from torch.distributions import Distribution
import numpy as np
from pts.modules import DistributionOutput, MeanScaler, NOPScaler, FeatureEmbedder
from pts.modules import DistributionOutput, MeanScaler, NOPScaler
from pts.model import weighted_average
class DeepVARTrainingNetwork(nn.Module):
pass
def __init__(
self,
input_size: int,
num_layers: int,
num_cells: int,
cell_type: str,
history_length: int,
context_length: int,
prediction_length: int,
distr_output: DistributionOutput,
dropout_rate: float,
lags_seq: List[int],
target_dim: int,
conditioning_length: int,
cardinality: List[int] = [1],
embedding_dimension: int = 1,
scaling: bool = True,
**kwargs,
) -> None:
super().__init__(**kwargs)
self.num_layers = num_layers
self.num_cells = num_cells
self.cell_type = cell_type
self.history_length = history_length
self.context_length = context_length
self.prediction_length = prediction_length
self.dropout_rate = dropout_rate
self.cardinality = cardinality
self.embedding_dimension = embedding_dimension
self.num_cat = len(cardinality)
self.target_dim = target_dim
self.scaling = scaling
self.target_dim_sample = target_dim
self.conditioning_length = conditioning_length
assert len(set(lags_seq)) == len(lags_seq), "no duplicated lags allowed!"
lags_seq.sort()
self.lags_seq = lags_seq
self.distr_output = distr_output
self.target_dim = target_dim
rnn = {"LSTM": nn.LSTM, "GRU": nn.GRU}[self.cell_type]
self.rnn = rnn(
input_size=input_size,
hidden_size=num_cells,
num_layers=num_layers,
dropout=dropout_rate,
batch_first=True,
)
self.proj_dist_args = distr_output.get_args_proj()
self.embed_dim = 1
self.embed = nn.Embedding(
num_embeddings=self.target_dim, embedding_dim=self.embed_dim
)
if scaling:
self.scaler = MeanScaler(keepdims=True)
else:
self.scaler = NOPScaler(keepdims=True)
@staticmethod
def get_lagged_subsequences(
sequence: torch.Tensor,
sequence_length: int,
indices: List[int],
subsequences_length: int = 1,
) -> torch.Tensor:
"""
Returns lagged subsequences of a given sequence.
Parameters
----------
sequence
the sequence from which lagged subsequences should be extracted.
Shape: (N, T, C).
sequence_length
length of sequence in the T (time) dimension (axis = 1).
indices
list of lag indices to be used.
subsequences_length
length of the subsequences to be extracted.
Returns
--------
lagged : Tensor
a tensor of shape (N, S, C, I),
where S = subsequences_length and I = len(indices),
containing lagged subsequences.
Specifically, lagged[i, :, j, k] = sequence[i, -indices[k]-S+j, :].
"""
# we must have: history_length + begin_index >= 0
# that is: history_length - lag_index - sequence_length >= 0
# hence the following assert
assert max(indices) + subsequences_length <= sequence_length, (
f"lags cannot go further than history length, found lag "
f"{max(indices)} while history length is only {sequence_length}"
)
assert all(lag_index >= 0 for lag_index in indices)
lagged_values = []
for lag_index in indices:
begin_index = -lag_index - subsequences_length
end_index = -lag_index if lag_index > 0 else None
lagged_values.append(sequence[:, begin_index:end_index, ...].unsqueeze(1))
return torch.cat(*lagged_values, dim=1).permute(0, 2, 3, 1)
def unroll(
self,
lags: torch.Tensor,
scale: torch.Tensor,
time_feat: torch.Tensor,
target_dimension_indicator: torch.Tensor,
unroll_length: int,
begin_state: Optional[Union[List[torch.Tensor], torch.Tensor]] = None,
) -> Tuple[
torch.Tensor,
Union[List[torch.Tensor], torch.Tensor],
torch.Tensor,
torch.Tensor,
]:
# (batch_size, sub_seq_len, target_dim, num_lags)
lags_scaled = lags / scale.unsqueeze(-1)
# assert_shape(
# lags_scaled, (-1, unroll_length, self.target_dim, len(self.lags_seq)),
# )
input_lags = lags_scaled.reshape(
(-1, unroll_length, len(self.lags_seq) * self.target_dim)
)
# (batch_size, target_dim, embed_dim)
index_embeddings = self.embed(target_dimension_indicator)
# assert_shape(index_embeddings, (-1, self.target_dim, self.embed_dim))
# (batch_size, seq_len, target_dim * embed_dim)
repeated_index_embeddings = (
index_embeddings.unsqueeze(1)
.expand(-1, unroll_length, -1)
.reshape((-1, unroll_length, self.target_dim * self.embed_dim))
)
# repeated_index_embeddings = (
# index_embeddings.expand_dims(axis=1)
# .repeat(axis=1, repeats=unroll_length)
# .reshape((-1, unroll_length, self.target_dim * self.embed_dim))
# )
# (batch_size, sub_seq_len, input_dim)
inputs = torch.cat((input_lags, repeated_index_embeddings, time_feat), dim=-1)
# unroll encoder
outputs, state = self.rnn(inputs, begin_state)
# inputs=inputs,
# length=unroll_length,
# layout="NTC",
# merge_outputs=True,
# begin_state=begin_state,
# )
# assert_shape(outputs, (-1, unroll_length, self.num_cells))
# for s in state:
# assert_shape(s, (-1, self.num_cells))
# assert_shape(
# lags_scaled, (-1, unroll_length, self.target_dim, len(self.lags_seq)),
# )
return outputs, state, lags_scaled, inputs
def unroll_encoder(
self,
past_time_feat: torch.Tensor,
past_target_cdf: torch.Tensor,
past_observed_values: torch.Tensor,
past_is_pad: torch.Tensor,
future_time_feat: Optional[torch.Tensor],
future_target_cdf: Optional[torch.Tensor],
target_dimension_indicator: torch.Tensor,
) -> Tuple[
torch.Tensor,
Union[List[torch.Tensor], torch.Tensor],
torch.Tensor,
torch.Tensor,
torch.Tensor,
]:
"""
Unrolls the RNN encoder over past and, if present, future data.
Returns outputs and state of the encoder, plus the scale of
past_target_cdf and a vector of static features that was constructed
and fed as input to the encoder. All tensor arguments should have NTC
layout.
Parameters
----------
past_time_feat
Past time features (batch_size, history_length, num_features)
past_target_cdf
Past marginal CDF transformed target values (batch_size,
history_length, target_dim)
past_observed_values
Indicator whether or not the values were observed (batch_size,
history_length, target_dim)
past_is_pad
Indicator whether the past target values have been padded
(batch_size, history_length)
future_time_feat
Future time features (batch_size, prediction_length, num_features)
future_target_cdf
Future marginal CDF transformed target values (batch_size,
prediction_length, target_dim)
target_dimension_indicator
Dimensionality of the time series (batch_size, target_dim)
Returns
-------
outputs
RNN outputs (batch_size, seq_len, num_cells)
states
RNN states. Nested list with (batch_size, num_cells) tensors with
dimensions target_dim x num_layers x (batch_size, num_cells)
scale
Mean scales for the time series (batch_size, 1, target_dim)
lags_scaled
Scaled lags(batch_size, sub_seq_len, target_dim, num_lags)
inputs
inputs to the RNN
"""
past_observed_values = torch.min(
past_observed_values, past_is_pad.unsqueeze(-1)
)
if future_time_feat is None or future_target_cdf is None:
time_feat = past_time_feat[:, -self.context_length :, ...]
sequence = past_target_cdf
sequence_length = self.history_length
subsequences_length = self.context_length
else:
time_feat = torch.cat(
(past_time_feat[:, -self.context_length :, ...], future_time_feat),
dim=1,
)
sequence = torch.cat((past_target_cdf, future_target_cdf), dim=1)
sequence_length = self.history_length + self.prediction_length
subsequences_length = self.context_length + self.prediction_length
# (batch_size, sub_seq_len, target_dim, num_lags)
lags = self.get_lagged_subsequences(
sequence=sequence,
sequence_length=sequence_length,
indices=self.lags_seq,
subsequences_length=subsequences_length,
)
# scale is computed on the context length last units of the past target
# scale shape is (batch_size, 1, target_dim)
_, scale = self.scaler(
past_target_cdf[:, -self.context_length :, ...],
past_observed_values[:, -self.context_length : ...,],
)
outputs, states, lags_scaled, inputs = self.unroll(
lags=lags,
scale=scale,
time_feat=time_feat,
target_dimension_indicator=target_dimension_indicator,
unroll_length=subsequences_length,
begin_state=None,
)
return outputs, states, scale, lags_scaled, inputs
def distr(
self, rnn_outputs: torch.Tensor, scale: torch.Tensor,
):
"""
Returns the distribution of DeepVAR with respect to the RNN outputs.
Parameters
----------
rnn_outputs
Outputs of the unrolled RNN (batch_size, seq_len, num_cells)
scale
Mean scale for each time series (batch_size, 1, target_dim)
Returns
-------
distr
Distribution instance
distr_args
Distribution arguments
"""
distr_args = self.proj_dist_args(rnn_outputs)
# compute likelihood of target given the predicted parameters
distr = self.distr_output.distribution(distr_args, scale=scale)
return distr, distr_args
def forward(
self,
target_dimension_indicator: torch.Tensor,
past_time_feat: torch.Tensor,
past_target_cdf: torch.Tensor,
past_observed_values: torch.Tensor,
past_is_pad: torch.Tensor,
future_time_feat: torch.Tensor,
future_target_cdf: torch.Tensor,
future_observed_values: torch.Tensor,
) -> Tuple[torch.Tensor, ...]:
"""
Computes the loss for training DeepVAR, all inputs tensors representing
time series have NTC layout.
Parameters
----------
target_dimension_indicator
Indices of the target dimension (batch_size, target_dim)
past_time_feat
Dynamic features of past time series (batch_size, history_length,
num_features)
past_target_cdf
Past marginal CDF transformed target values (batch_size,
history_length, target_dim)
past_observed_values
Indicator whether or not the values were observed (batch_size,
history_length, target_dim)
past_is_pad
Indicator whether the past target values have been padded
(batch_size, history_length)
future_time_feat
Future time features (batch_size, prediction_length, num_features)
future_target_cdf
Future marginal CDF transformed target values (batch_size,
prediction_length, target_dim)
future_observed_values
Indicator whether or not the future values were observed
(batch_size, prediction_length, target_dim)
Returns
-------
distr
Loss with shape (batch_size, 1)
likelihoods
Likelihoods for each time step
(batch_size, context + prediction_length, 1)
distr_args
Distribution arguments (context + prediction_length,
number_of_arguments)
"""
seq_len = self.context_length + self.prediction_length
# unroll the decoder in "training mode", i.e. by providing future data
# as well
rnn_outputs, _, scale, lags_scaled, inputs = self.unroll_encoder(
past_time_feat=past_time_feat,
past_target_cdf=past_target_cdf,
past_observed_values=past_observed_values,
past_is_pad=past_is_pad,
future_time_feat=future_time_feat,
future_target_cdf=future_target_cdf,
target_dimension_indicator=target_dimension_indicator,
)
# put together target sequence
# (batch_size, seq_len, target_dim)
target = torch.cat(
(past_target_cdf[:, -self.context_length :, ...], future_target_cdf), dim=1,
)
# assert_shape(target, (-1, seq_len, self.target_dim))
distr, distr_args = self.distr(rnn_outputs=rnn_outputs, scale=scale,)
# we sum the last axis to have the same shape for all likelihoods
# (batch_size, subseq_length, 1)
likelihoods = -distr.log_prob(target).unsqueeze(-1)
# assert_shape(likelihoods, (-1, seq_len, 1))
past_observed_values = torch.min(
past_observed_values, 1 - past_is_pad.unsqueeze(-1)
)
# (batch_size, subseq_length, target_dim)
observed_values = torch.cat(
(
past_observed_values[:, -self.context_length :, ...],
future_observed_values,
),
dim=1,
)
# mask the loss at one time step if one or more observations is missing
# in the target dimensions (batch_size, subseq_length, 1)
loss_weights = observed_values.min(dim=-1, keepdims=True)
# assert_shape(loss_weights, (-1, seq_len, 1))
loss = weighted_average(x=likelihoods, weights=loss_weights, dim=1)
# assert_shape(loss, (-1, -1, 1))
self.distribution = distr
return (loss, likelihoods) + distr_args
class DeepVARPredictionNetwork(DeepVARTrainingNetwork):
pass
def __init__(self, num_parallel_samples: int, **kwargs) -> None:
super().__init__(**kwargs)
self.num_parallel_samples = num_parallel_samples
# for decoding the lags are shifted by one,
# at the first time-step of the decoder a lag of one corresponds to
# the last target value
self.shifted_lags = [l - 1 for l in self.lags_seq]
def sampling_decoder(
self,
past_target_cdf: torch.Tensor,
target_dimension_indicator: torch.Tensor,
time_feat: torch.Tensor,
scale: torch.Tensor,
begin_states: Union[List[torch.Tensor], torch.Tensor],
) -> torch.Tensor:
"""
Computes sample paths by unrolling the RNN starting with a initial
input and state.
Parameters
----------
past_target_cdf
Past marginal CDF transformed target values (batch_size,
history_length, target_dim)
target_dimension_indicator
Indices of the target dimension (batch_size, target_dim)
time_feat
Dynamic features of future time series (batch_size, history_length,
num_features)
scale
Mean scale for each time series (batch_size, 1, target_dim)
begin_states
List of initial states for the RNN layers (batch_size, num_cells)
Returns
--------
sample_paths : Tensor
A tensor containing sampled paths. Shape: (1, num_sample_paths,
prediction_length, target_dim).
"""
def repeat(tensor):
return tensor.repeat_interleave(repeats=self.num_parallel_samples, dim=0)
# blows-up the dimension of each tensor to
# batch_size * self.num_sample_paths for increasing parallelism
repeated_past_target_cdf = repeat(past_target_cdf)
repeated_time_feat = repeat(time_feat)
repeated_scale = repeat(scale)
repeated_target_dimension_indicator = repeat(target_dimension_indicator)
# slight difference for GPVAR and DeepVAR, in GPVAR, its a list
if self.cell_type == "LSTM":
repeated_states = [repeat(s) for s in begin_states]
else:
repeated_states = repeat(begin_states)
future_samples = []
# for each future time-units we draw new samples for this time-unit
# and update the state
for k in range(self.prediction_length):
lags = self.get_lagged_subsequences(
sequence=repeated_past_target_cdf,
sequence_length=self.history_length + k,
indices=self.shifted_lags,
subsequences_length=1,
)
rnn_outputs, repeated_states, lags_scaled, inputs = self.unroll(
begin_state=repeated_states,
lags=lags,
scale=repeated_scale,
time_feat=repeated_time_feat[:, k : k + 1, ...],
target_dimension_indicator=repeated_target_dimension_indicator,
unroll_length=1,
)
distr, distr_args = self.distr(
rnn_outputs=rnn_outputs, scale=repeated_scale,
)
# (batch_size, 1, target_dim)
new_samples = distr.sample()
# (batch_size, seq_len, target_dim)
future_samples.append(new_samples)
repeated_past_target_cdf = torch.cat(
(repeated_past_target_cdf, new_samples), dim=1
)
# (batch_size * num_samples, prediction_length, target_dim)
samples = torch.cat(future_samples, dim=1)
# (batch_size, num_samples, prediction_length, target_dim)
return samples.reshape(
(-1, self.num_parallel_samples, self.prediction_length, self.target_dim,)
)
def forward(
self,
target_dimension_indicator: torch.Tensor,
past_time_feat: torch.Tensor,
past_target_cdf: torch.Tensor,
past_observed_values: torch.Tensor,
past_is_pad: torch.Tensor,
future_time_feat: torch.Tensor,
) -> torch.Tensor:
"""
Predicts samples given the trained DeepVAR model.
All tensors should have NTC layout.
Parameters
----------
target_dimension_indicator
Indices of the target dimension (batch_size, target_dim)
past_time_feat
Dynamic features of past time series (batch_size, history_length,
num_features)
past_target_cdf
Past marginal CDF transformed target values (batch_size,
history_length, target_dim)
past_observed_values
Indicator whether or not the values were observed (batch_size,
history_length, target_dim)
past_is_pad
Indicator whether the past target values have been padded
(batch_size, history_length)
future_time_feat
Future time features (batch_size, prediction_length, num_features)
Returns
-------
sample_paths : Tensor
A tensor containing sampled paths (1, num_sample_paths,
prediction_length, target_dim).
"""
# mark padded data as unobserved
# (batch_size, target_dim, seq_len)
past_observed_values = torch.min(
past_observed_values, 1 - past_is_pad.unsqueeze(-1)
)
# unroll the decoder in "prediction mode", i.e. with past data only
_, state, scale, _, inputs = self.unroll_encoder(
past_time_feat=past_time_feat,
past_target_cdf=past_target_cdf,
past_observed_values=past_observed_values,
past_is_pad=past_is_pad,
future_time_feat=None,
future_target_cdf=None,
target_dimension_indicator=target_dimension_indicator,
)
return self.sampling_decoder(
past_target_cdf=past_target_cdf,
target_dimension_indicator=target_dimension_indicator,
time_feat=future_time_feat,
scale=scale,
begin_states=state,
)