def inference(self, x, batch_index=None, y=None, n_samples=1):
x_ = x
if self.log_variational:
x_ = torch.log(1 + x_)
# Sampling
qz_m, qz_v, z = self.z_encoder(x_, y)
px_r, px_rate = self.decoder(self.dispersion, z, batch_index, y)
if self.dispersion == "gene-label":
px_r = F.linear(
one_hot(y, self.n_labels),
self.px_r) # px_r gets transposed - last dimension is nb genes
elif self.dispersion == "gene-batch":
px_r = F.linear(one_hot(batch_index, self.n_batch), self.px_r)
elif self.dispersion == "gene":
px_r = self.px_r
px_rate = torch.exp(px_rate)
px_r = torch.exp(px_r)
return dict(
px_r=px_r,
px_rate=px_rate,
qz_m=qz_m,
qz_v=qz_v,
z=z,
)
def decode(
self,
z: torch.Tensor,
mode: int,
library: torch.Tensor,
batch_index: Optional[torch.Tensor] = None,
y: Optional[torch.Tensor] = None,
) -> Tuple[torch.Tensor, torch.Tensor, torch.Tensor, torch.Tensor]:
px_scale, px_r, px_rate, px_dropout = self.decoder(
z, mode, library, self.dispersion, batch_index, y
)
if self.dispersion == "gene-label":
px_r = F.linear(one_hot(y, self.n_labels), self.px_r)
elif self.dispersion == "gene-batch":
px_r = F.linear(one_hot(batch_index, self.n_batch), self.px_r)
elif self.dispersion == "gene":
px_r = self.px_r.view(1, self.px_r.size(0))
px_r = torch.exp(px_r)
px_scale = px_scale / torch.sum(
px_scale[:, self.indices_mappings[mode]], dim=1
).view(-1, 1)
px_rate = px_scale * torch.exp(library)
return px_scale, px_r, px_rate, px_dropout
def _reconstruction_loss(self,
x,
px_rate,
px_r,
px_dropout,
batch_index,
y,
mode="scRNA",
weighting=1):
if self.dispersion == "gene-label":
px_r = F.linear(
one_hot(y, self.n_labels),
self.px_r) # px_r gets transposed - last dimension is nb genes
elif self.dispersion == "gene-batch":
px_r = F.linear(one_hot(batch_index, self.n_batch), self.px_r)
elif self.dispersion == "gene":
px_r = self.px_r
# Reconstruction Loss
if mode == "scRNA":
if self.reconstruction_loss == 'zinb':
reconst_loss = -log_zinb_positive(x, px_rate, torch.exp(px_r),
px_dropout)
elif self.reconstruction_loss == 'nb':
reconst_loss = -log_nb_positive(x, px_rate, torch.exp(px_r))
else:
if self.reconstruction_loss_fish == 'poisson':
reconst_loss = -torch.sum(Poisson(px_rate).log_prob(x), dim=1)
elif self.reconstruction_loss_fish == 'gaussian':
reconst_loss = -torch.sum(Normal(px_rate, 10).log_prob(x),
dim=1)
return reconst_loss
def reshape_bernoulli(
self,
bernoulli_params: torch.Tensor,
batch_index: Optional[torch.Tensor] = None,
y: Optional[torch.Tensor] = None,
) -> torch.Tensor:
if self.zero_inflation == "gene-label":
one_hot_label = one_hot(y, self.n_labels)
# If we sampled several random Bernoulli parameters
if len(bernoulli_params.shape) == 2:
bernoulli_params = F.linear(one_hot_label, bernoulli_params)
else:
bernoulli_params_res = []
for sample in range(bernoulli_params.shape[0]):
bernoulli_params_res.append(
F.linear(one_hot_label, bernoulli_params[sample])
)
bernoulli_params = torch.stack(bernoulli_params_res)
elif self.zero_inflation == "gene-batch":
one_hot_batch = one_hot(batch_index, self.n_batch)
if len(bernoulli_params.shape) == 2:
bernoulli_params = F.linear(one_hot_batch, bernoulli_params)
# If we sampled several random Bernoulli parameters
else:
bernoulli_params_res = []
for sample in range(bernoulli_params.shape[0]):
bernoulli_params_res.append(
F.linear(one_hot_batch, bernoulli_params[sample])
)
bernoulli_params = torch.stack(bernoulli_params_res)
return bernoulli_params
def inference(self, x, batch_index=None, y=None, n_samples=1, force_batch=None):
x_ = x
if self.log_variational:
x_ = torch.log(1 + x_)
if force_batch is not None:
batch_index = torch.zeros_like(batch_index).fill_(force_batch)
# Sampling
qz_m, qz_v, z = self.z_encoder(x_, y)
ql_m, ql_v, library = self.l_encoder(x_)
if n_samples > 1:
qz_m = qz_m.unsqueeze(0).expand((n_samples, qz_m.size(0), qz_m.size(1)))
qz_v = qz_v.unsqueeze(0).expand((n_samples, qz_v.size(0), qz_v.size(1)))
z = Normal(qz_m, qz_v.sqrt()).sample()
ql_m = ql_m.unsqueeze(0).expand((n_samples, ql_m.size(0), ql_m.size(1)))
ql_v = ql_v.unsqueeze(0).expand((n_samples, ql_v.size(0), ql_v.size(1)))
library = Normal(ql_m, ql_v.sqrt()).sample()
px_scale, px_r, px_rate, px_dropout = self.decoder(self.dispersion, z, library, batch_index, y)
if self.dispersion == "gene-label":
px_r = F.linear(one_hot(y, self.n_labels), self.px_r) # px_r gets transposed - last dimension is nb genes
elif self.dispersion == "gene-batch":
px_r = F.linear(one_hot(batch_index, self.n_batch), self.px_r)
elif self.dispersion == "gene":
px_r = self.px_r
px_r = torch.exp(px_r)
return px_scale, px_r, px_rate, px_dropout, qz_m, qz_v, z, ql_m, ql_v, library
def inference(self,
x,
batch_index=None,
y=None,
n_samples=1,
transform_batch=None) -> Dict[str, torch.Tensor]:
"""Helper function used in forward pass
"""
x_ = x
if self.log_variational:
x_ = torch.log(1 + x_)
# Sampling
qz_m, qz_v, z = self.z_encoder(x_, y)
ql_m, ql_v, library = self.l_encoder(x_)
if n_samples > 1:
qz_m = qz_m.unsqueeze(0).expand(
(n_samples, qz_m.size(0), qz_m.size(1)))
qz_v = qz_v.unsqueeze(0).expand(
(n_samples, qz_v.size(0), qz_v.size(1)))
# when z is normal, untran_z == z
untran_z = Normal(qz_m, qz_v.sqrt()).sample()
z = self.z_encoder.z_transformation(untran_z)
ql_m = ql_m.unsqueeze(0).expand(
(n_samples, ql_m.size(0), ql_m.size(1)))
ql_v = ql_v.unsqueeze(0).expand(
(n_samples, ql_v.size(0), ql_v.size(1)))
library = Normal(ql_m, ql_v.sqrt()).sample()
if transform_batch is not None:
dec_batch_index = transform_batch * torch.ones_like(batch_index)
else:
dec_batch_index = batch_index
px_scale, px_r, px_rate, px_dropout = self.decoder(
self.dispersion, z, library, dec_batch_index, y)
if self.dispersion == "gene-label":
px_r = F.linear(
one_hot(y, self.n_labels),
self.px_r) # px_r gets transposed - last dimension is nb genes
elif self.dispersion == "gene-batch":
px_r = F.linear(one_hot(dec_batch_index, self.n_batch), self.px_r)
elif self.dispersion == "gene":
px_r = self.px_r
px_r = torch.exp(px_r)
return dict(
px_scale=px_scale,
px_r=px_r,
px_rate=px_rate,
px_dropout=px_dropout,
qz_m=qz_m,
qz_v=qz_v,
z=z,
ql_m=ql_m,
ql_v=ql_v,
library=library,
)
def inference(self,
x,
batch_index=None,
y=None,
mode="scRNA",
weighting=1):
x_ = x
if self.log_variational:
x_ = torch.log(1 + x_)
# Sampling
if mode == "scRNA":
qz_m, qz_v, z = self.z_encoder(x_)
library = torch.log(torch.sum(x, dim=1)).view(-1, 1)
batch_index = torch.zeros_like(library)
if mode == "smFISH":
qz_m, qz_v, z = self.z_encoder_fish(x_[:, self.indexes_to_keep])
library = torch.log(torch.sum(x[:, self.indexes_to_keep],
dim=1)).view(-1, 1)
batch_index = torch.ones_like(library)
if self.model_library:
if mode == "scRNA":
ql_m, ql_v, library = self.l_encoder(x_)
elif mode == "smFISH":
ql_m, ql_v, library = self.l_encoder_fish(
x_[:, self.indexes_to_keep])
else:
ql_m, ql_v = None, None
qz_m, qz_v, z = self.z_final_encoder(z)
px_scale, px_r, px_rate, px_dropout = self.decoder(
self.dispersion, z, library, batch_index)
# rescaling the expected frequencies
if mode == "smFISH":
if self.model_library:
px_rate = px_scale[:,
self.indexes_to_keep] * torch.exp(library)
else:
px_scale = px_scale[:, self.indexes_to_keep] / torch.sum(
px_scale[:, self.indexes_to_keep], dim=1).view(-1, 1)
px_rate = px_scale * torch.exp(library)
if self.dispersion == "gene-label":
px_r = F.linear(
one_hot(y, self.n_labels),
self.px_r) # px_r gets transposed - last dimension is nb genes
elif self.dispersion == "gene-batch":
px_r = F.linear(one_hot(batch_index, self.n_batch), self.px_r)
elif self.dispersion == "gene":
px_r = self.px_r
return px_scale, px_r, px_rate, px_dropout, qz_m, qz_v, z, ql_m, ql_v, library
def forward(self,
x,
local_l_mean,
local_l_var,
batch_index=None,
y=None): # same signature as loss
# Parameters for z latent distribution
x_ = x
if self.log_variational:
x_ = torch.log(1 + x_)
# Sampling
qz_m, qz_v, z = self.z_encoder(x_)
ql_m, ql_v, library = self.l_encoder(x_)
if self.dispersion == "gene-cell":
px_scale, self.px_r, px_rate, px_dropout = self.decoder(
self.dispersion, z, library, batch_index)
else: # self.dispersion == "gene", "gene-batch", "gene-label"
px_scale, px_rate, px_dropout = self.decoder(
self.dispersion, z, library, batch_index)
if self.dispersion == "gene-label":
px_r = F.linear(
one_hot(y, self.n_labels),
self.px_r) # px_r gets transposed - last dimension is nb genes
elif self.dispersion == "gene-batch":
px_r = F.linear(one_hot(batch_index, self.n_batch), self.px_r)
else:
px_r = self.px_r
# Reconstruction Loss
if self.reconstruction_loss == 'zinb':
reconst_loss = -log_zinb_positive(x, px_rate, torch.exp(px_r),
px_dropout)
elif self.reconstruction_loss == 'nb':
reconst_loss = -log_nb_positive(x, px_rate, torch.exp(px_r))
# KL Divergence
mean = torch.zeros_like(qz_m)
scale = torch.ones_like(qz_v)
kl_divergence_z = kl(Normal(qz_m, torch.sqrt(qz_v)),
Normal(mean, scale)).sum(dim=1)
kl_divergence_l = kl(Normal(ql_m, torch.sqrt(ql_v)),
Normal(local_l_mean,
torch.sqrt(local_l_var))).sum(dim=1)
kl_divergence = kl_divergence_z + kl_divergence_l
return reconst_loss, kl_divergence
def _reconstruction_loss(self, x, px_rate, px_r, px_dropout, batch_index, y):
if self.dispersion == "gene-label":
px_r = F.linear(one_hot(y, self.n_labels), self.px_r) # px_r gets transposed - last dimension is nb genes
elif self.dispersion == "gene-batch":
px_r = F.linear(one_hot(batch_index, self.n_batch), self.px_r)
elif self.dispersion == "gene":
px_r = self.px_r
# Reconstruction Loss
if self.reconstruction_loss == 'zinb':
reconst_loss = -log_zinb_positive(x, px_rate, torch.exp(px_r), px_dropout)
elif self.reconstruction_loss == 'nb':
reconst_loss = -log_nb_positive(x, px_rate, torch.exp(px_r))
return reconst_loss
def forward(self, x: torch.Tensor, *cat_list: int):
r"""Forward computation on ``x``.
:param x: tensor of values with shape ``(n_in,)``
:param cat_list: list of category membership(s) for this sample
:return: tensor of shape ``(n_out,)``
:rtype: :py:class:`torch.Tensor`
"""
one_hot_cat_list = [] # for generality in this list many indices useless.
assert len(self.n_cat_list) <= len(cat_list), "nb. categorical args provided doesn't match init. params."
for n_cat, cat in zip(self.n_cat_list, cat_list):
assert not (n_cat and cat is None), "cat not provided while n_cat != 0 in init. params."
if n_cat > 1: # n_cat = 1 will be ignored - no additional information
if cat.size(1) != n_cat:
one_hot_cat = one_hot(cat, n_cat)
else:
one_hot_cat = cat # cat has already been one_hot encoded
one_hot_cat_list += [one_hot_cat]
for layers in self.fc_layers:
for layer in layers:
if layer is not None:
if isinstance(layer, nn.BatchNorm1d):
if x.dim() == 3:
x = torch.cat([(layer(slice_x)).unsqueeze(0) for slice_x in x], dim=0)
else:
x = layer(x)
else:
if isinstance(layer, nn.Linear):
if x.dim() == 3:
one_hot_cat_list = [o.unsqueeze(0).expand((x.size(0), o.size(0), o.size(1)))
for o in one_hot_cat_list]
x = torch.cat((x, *one_hot_cat_list), dim=-1)
x = layer(x)
return x
def inference(self, x, batch_index=None, y=None, n_samples=1, train_library=True):
x_ = x
if self.log_variational:
x_ = torch.log(1 + x_)
# Sampling
qz_m, qz_v, z = self.z_encoder(x_, y)
ql_m, ql_v, library = self.l_encoder(x_)
if n_samples > 1:
assert not self.z_full_cov
# TODO: Check no issues when full cov
qz_m = qz_m.unsqueeze(0).expand([n_samples] + list(qz_m.size()))
qz_v = qz_v.unsqueeze(0).expand([n_samples] + list(qz_v.size()))
ql_m = ql_m.unsqueeze(0).expand([n_samples] + list(ql_m.size()))
ql_v = ql_v.unsqueeze(0).expand([n_samples] + list(ql_v.size()))
z = self.z_encoder.sample(qz_m, qz_v)
library = self.l_encoder.sample(ql_m, ql_v)
# library = torch.clamp(library, max=14)
# if (library >= 14).any():
# print('TOTOTATA')
if not train_library:
library = 1.0
px_scale, px_r, px_rate, px_dropout = self.decoder(self.dispersion, z, library, batch_index, y)
if self.dispersion == "gene-label":
px_r = F.linear(one_hot(y, self.n_labels), self.px_r) # px_r gets transposed - last dimension is nb genes
elif self.dispersion == "gene-batch":
px_r = F.linear(one_hot(batch_index, self.n_batch), self.px_r)
elif self.dispersion == "gene":
px_r = self.px_r
px_r = torch.exp(px_r)
return dict(
px_scale=px_scale,
px_r=px_r,
px_rate=px_rate,
px_dropout=px_dropout,
qz_m=qz_m,
qz_v=qz_v,
z=z,
ql_m=ql_m,
ql_v=ql_v,
library=library
)
def impute_from_z(self, fixed_batch_indices, fixed_l, sample=False):
for tensors in self:
sample_batch, local_l_mean, local_l_var, batch_index, label = tensors
if not sample:
if self.model.log_variational:
sample_batch = torch.log(1 + sample_batch)
z = [self.model.z_encoder(sample_batch)[0]]
else:
z = [self.model.sample_from_posterior_z(sample_batch)]
px_scale, px_r, px_rate, px_dropout = self.model.decoder(
self.model.dispersion, z, fixed_l, fixed_batch_indices)
if self.model.dispersion == "gene-label":
px_r = F.linear(
one_hot(y, self.model.n_labels), self.px_r
) # px_r gets transposed - last dimension is nb genes
elif self.dispersion == "gene-batch":
px_r = F.linear(one_hot(batch_index, self.n_batch), self.px_r)
elif self.dispersion == "gene":
px_r = self.px_r
px_r = torch.exp(px_r)
return px_r
def forward(self, x, *os):
one_hot_os = []
for i, o in enumerate(os):
if o is not None and self.n_cat_list[i]:
one_hot_o = o
if o.size(1) != self.n_cat_list[i]:
one_hot_o = one_hot(o, self.n_cat_list[i])
elif o.size(1) == 1 and self.n_cat_list[i] == 1:
one_hot_o = o.type(torch.float32)
one_hot_os += [one_hot_o]
for layer in self.fc_layers:
x = layer(torch.cat((x,) + tuple(one_hot_os), 1))
return x
def loss_discriminator(self,
z,
batch_index,
predict_true_class=True,
return_details=True):
n_classes = self.gene_dataset.n_batches
cls_logits = torch.nn.LogSoftmax(dim=1)(self.discriminator(z))
if predict_true_class:
cls_target = one_hot(batch_index, n_classes)
else:
one_hot_batch = one_hot(batch_index, n_classes)
cls_target = torch.zeros_like(one_hot_batch)
# place zeroes where true label is
cls_target.masked_scatter_(
~one_hot_batch.bool(),
torch.ones_like(one_hot_batch) / (n_classes - 1))
l_soft = cls_logits * cls_target
loss = -l_soft.sum(dim=1).mean()
return loss
def forward(self, dispersion: str, z: torch.Tensor, library: torch.Tensor,
*cat_list: int):
# The decoder returns values for the parameters of the ZINB distribution
p1_ = self.factor_regressor(z)
if self.n_batches > 1:
one_hot_cat = one_hot(cat_list[0], self.n_batches)[:, :-1]
p2_ = self.batch_regressor(one_hot_cat)
raw_px_scale = p1_ + p2_
else:
raw_px_scale = p1_
px_scale = torch.softmax(raw_px_scale, dim=-1)
px_dropout = self.px_dropout_decoder(z)
px_rate = torch.exp(library) * px_scale
px_r = None
return px_scale, px_r, px_rate, px_dropout
def forward(self, x, *cat_list):
one_hot_cat_list = [
] # for generality in this list many indices useless.
assert len(self.n_cat_list) <= len(
cat_list
), "nb. categorical args provided doesn't match init. params."
for n_cat, cat in zip(self.n_cat_list, cat_list):
assert not (n_cat and cat is None
), "cat not provided while n_cat != 0 in init. params."
if n_cat > 1: # n_cat = 1 will be ignored - no additional information
if cat.size(1) != n_cat:
one_hot_cat = one_hot(cat, n_cat)
else:
one_hot_cat = cat # cat has already been one_hot encoded
one_hot_cat_list += [one_hot_cat]
for layers in self.fc_layers:
for layer in layers:
if isinstance(layer, nn.Linear):
x = torch.cat((x, *one_hot_cat_list), 1)
x = layer(x)
return x
def forward(self, x, *cat_list):
one_hot_cat_list = [] # for generality in this list many indices useless.
assert len(self.n_cat_list) <= len(cat_list), "nb. categorical args provided doesn't match init. params."
for n_cat, cat in zip(self.n_cat_list, cat_list):
assert not (n_cat and cat is None), "cat not provided while n_cat != 0 in init. params."
if n_cat > 1: # n_cat = 1 will be ignored - no additional information
if cat.size(1) != n_cat:
one_hot_cat = one_hot(cat, n_cat)
else:
one_hot_cat = cat # cat has already been one_hot encoded
one_hot_cat_list += [one_hot_cat]
for layers in self.fc_layers:
for layer in layers:
if isinstance(layer, nn.BatchNorm1d) and x.dim() == 3:
x = torch.cat([(layer(slice_x)).unsqueeze(0) for slice_x in x], dim=0)
else:
if isinstance(layer, nn.Linear):
if x.dim() == 3:
one_hot_cat_list = [o.unsqueeze(0).expand((x.size(0), o.size(0), o.size(1)))
for o in one_hot_cat_list]
x = torch.cat((x, *one_hot_cat_list), dim=-1)
x = layer(x)
return x
def forward(self, x, local_l_mean, local_l_var, batch_index=None, y=None):
is_labelled = False if y is None else True
# Prepare for sampling
xs, ys = (x, y)
# Enumerate choices of label
if not is_labelled:
ys = enumerate_discrete(xs, self.n_labels)
xs = xs.repeat(self.n_labels, 1)
if batch_index is not None:
batch_index = batch_index.repeat(self.n_labels, 1)
local_l_var = local_l_var.repeat(self.n_labels, 1)
local_l_mean = local_l_mean.repeat(self.n_labels, 1)
else:
ys = one_hot(ys, self.n_labels)
xs_ = xs
if self.log_variational:
xs_ = torch.log(1 + xs_)
# Sampling
qz_m, qz_v, z = self.z_encoder(xs_, ys)
ql_m, ql_v, library = self.l_encoder(xs_)
if self.dispersion == "gene-cell":
px_scale, self.px_r, px_rate, px_dropout = self.decoder(
self.dispersion, z, library, batch_index, y=ys)
elif self.dispersion == "gene":
px_scale, px_rate, px_dropout = self.decoder(self.dispersion,
z,
library,
batch_index,
y=ys)
# Reconstruction Loss
if self.reconstruction_loss == 'zinb':
reconst_loss = -log_zinb_positive(xs, px_rate, torch.exp(
self.px_r), px_dropout)
elif self.reconstruction_loss == 'nb':
reconst_loss = -log_nb_positive(xs, px_rate, torch.exp(self.px_r))
# KL Divergence
mean = torch.zeros_like(qz_m)
scale = torch.ones_like(qz_v)
kl_divergence_z = kl(Normal(qz_m, torch.sqrt(qz_v)),
Normal(mean, scale)).sum(dim=1)
kl_divergence_l = kl(Normal(ql_m, torch.sqrt(ql_v)),
Normal(local_l_mean,
torch.sqrt(local_l_var))).sum(dim=1)
kl_divergence = kl_divergence_z + kl_divergence_l
if is_labelled:
return reconst_loss, kl_divergence
reconst_loss = reconst_loss.view(self.n_labels, -1)
kl_divergence = kl_divergence.view(self.n_labels, -1)
if self.log_variational:
x_ = torch.log(1 + x)
probs = self.classifier(x_)
reconst_loss = (reconst_loss.t() * probs).sum(dim=1)
kl_divergence = (kl_divergence.t() * probs).sum(dim=1)
kl_divergence += kl(Multinomial(probs=probs),
Multinomial(probs=self.y_prior))
return reconst_loss, kl_divergence
def inference(
self,
x: torch.Tensor,
y: torch.Tensor,
batch_index: Optional[torch.Tensor] = None,
label: Optional[torch.Tensor] = None,
n_samples=1,
transform_batch: Optional[int] = None,
) -> Dict[str, Union[torch.Tensor, Dict[str, torch.Tensor]]]:
""" Internal helper function to compute necessary inference quantities
We use the dictionary ``px_`` to contain the parameters of the ZINB/NB for genes.
The rate refers to the mean of the NB, dropout refers to Bernoulli mixing parameters.
`scale` refers to the quanity upon which differential expression is performed. For genes,
this can be viewed as the mean of the underlying gamma distribution.
We use the dictionary ``py_`` to contain the parameters of the Mixture NB distribution for proteins.
`rate_fore` refers to foreground mean, while `rate_back` refers to background mean. ``scale`` refers to
foreground mean adjusted for background probability and scaled to reside in simplex.
``back_alpha`` and ``back_beta`` are the posterior parameters for ``rate_back``. ``fore_scale`` is the scaling
factor that enforces `rate_fore` > `rate_back`.
``px_["r"]`` and ``py_["r"]`` are the inverse dispersion parameters for genes and protein, respectively.
"""
x_ = x
y_ = y
if self.log_variational:
x_ = torch.log(1 + x_)
y_ = torch.log(1 + y_)
# Sampling - Encoder gets concatenated genes + proteins
qz_m, qz_v, ql_m, ql_v, latent, untran_latent = self.encoder(
torch.cat((x_, y_), dim=-1), batch_index)
z = latent["z"]
library_gene = latent["l"]
untran_z = untran_latent["z"]
untran_l = untran_latent["l"]
if n_samples > 1:
qz_m = qz_m.unsqueeze(0).expand(
(n_samples, qz_m.size(0), qz_m.size(1)))
qz_v = qz_v.unsqueeze(0).expand(
(n_samples, qz_v.size(0), qz_v.size(1)))
untran_z = Normal(qz_m, qz_v.sqrt()).sample()
z = self.encoder.z_transformation(untran_z)
ql_m = ql_m.unsqueeze(0).expand(
(n_samples, ql_m.size(0), ql_m.size(1)))
ql_v = ql_v.unsqueeze(0).expand(
(n_samples, ql_v.size(0), ql_v.size(1)))
untran_l = Normal(ql_m, ql_v.sqrt()).sample()
library_gene = self.encoder.l_transformation(untran_l)
if self.gene_dispersion == "gene-label":
# px_r gets transposed - last dimension is nb genes
px_r = F.linear(one_hot(label, self.n_labels), self.px_r)
elif self.gene_dispersion == "gene-batch":
px_r = F.linear(one_hot(batch_index, self.n_batch), self.px_r)
elif self.gene_dispersion == "gene":
px_r = self.px_r
px_r = torch.exp(px_r)
if self.protein_dispersion == "protein-label":
# py_r gets transposed - last dimension is n_proteins
py_r = F.linear(one_hot(label, self.n_labels), self.py_r)
elif self.protein_dispersion == "protein-batch":
py_r = F.linear(one_hot(batch_index, self.n_batch), self.py_r)
elif self.protein_dispersion == "protein":
py_r = self.py_r
py_r = torch.exp(py_r)
# Background regularization
if self.n_batch > 0:
py_back_alpha_prior = F.linear(one_hot(batch_index, self.n_batch),
self.background_pro_alpha)
py_back_beta_prior = F.linear(
one_hot(batch_index, self.n_batch),
torch.exp(self.background_pro_log_beta),
)
else:
py_back_alpha_prior = self.background_pro_alpha
py_back_beta_prior = torch.exp(self.background_pro_log_beta)
self.back_mean_prior = Normal(py_back_alpha_prior, py_back_beta_prior)
if transform_batch is not None:
batch_index = torch.ones_like(batch_index) * transform_batch
px_, py_, log_pro_back_mean = self.decoder(z, library_gene,
batch_index, label)
px_["r"] = px_r
py_["r"] = py_r
return dict(
px_=px_,
py_=py_,
qz_m=qz_m,
qz_v=qz_v,
z=z,
untran_z=untran_z,
ql_m=ql_m,
ql_v=ql_v,
library_gene=library_gene,
untran_l=untran_l,
log_pro_back_mean=log_pro_back_mean,
)
def forward(self, x, o, *os):
if o.size(1) != self.n_cat:
o = one_hot(o, self.n_cat)
for layer in self.fc_layers:
x = layer(torch.cat((x, o), 1))
return x
def forward(self, x, local_l_mean, local_l_var, batch_index=None, y=None):
is_labelled = False if y is None else True
xs, ys = (x, y)
xs_ = torch.log(1 + xs)
qz1_m, qz1_v, z1_ = self.z_encoder(xs_)
z1 = z1_
# Enumerate choices of label
if not is_labelled:
ys = enumerate_discrete(xs, self.n_labels)
xs = xs.repeat(self.n_labels, 1)
if batch_index is not None:
batch_index = batch_index.repeat(self.n_labels, 1)
local_l_var = local_l_var.repeat(self.n_labels, 1)
local_l_mean = local_l_mean.repeat(self.n_labels, 1)
qz1_m = qz1_m.repeat(self.n_labels, 1)
qz1_v = qz1_v.repeat(self.n_labels, 1)
z1 = z1.repeat(self.n_labels, 1)
else:
ys = one_hot(ys, self.n_labels)
xs_ = torch.log(1 + xs)
qz2_m, qz2_v, z2 = self.encoder_z2_z1(z1, ys)
pz1_m, pz1_v = self.decoder_z1_z2(z2, ys)
# Sampling
ql_m, ql_v, library = self.l_encoder(xs_) # let's keep that ind. of y
px_scale, px_rate, px_dropout = self.decoder(self.dispersion, z1,
library, batch_index)
reconst_loss = -log_zinb_positive(xs, px_rate, torch.exp(self.px_r),
px_dropout)
# KL Divergence
mean = torch.zeros_like(qz2_m)
scale = torch.ones_like(qz2_v)
kl_divergence_z2 = kl(Normal(qz2_m, torch.sqrt(qz2_v)),
Normal(mean, scale)).sum(dim=1)
loss_z1 = (-Normal(pz1_m, torch.sqrt(pz1_v)).log_prob(z1) +
Normal(qz1_m, torch.sqrt(qz1_v)).log_prob(z1)).sum(dim=1)
kl_divergence_l = kl(Normal(ql_m, torch.sqrt(ql_v)),
Normal(local_l_mean,
torch.sqrt(local_l_var))).sum(dim=1)
kl_divergence = kl_divergence_z2 + loss_z1 + kl_divergence_l
if is_labelled:
return reconst_loss, kl_divergence
reconst_loss = reconst_loss.view(self.n_labels, -1)
kl_divergence = kl_divergence.view(self.n_labels, -1)
probs = self.classifier(z1_)
reconst_loss = (reconst_loss.t() * probs).sum(dim=1)
kl_divergence = (kl_divergence.t() * probs).sum(dim=1)
kl_divergence += kl(Multinomial(probs=probs),
Multinomial(probs=self.y_prior))
return reconst_loss, kl_divergence
def inference(self, x, batch_index=None, y=None, n_samples=1):
x_ = x
if len(x_) != 2:
raise ValueError("Input training data should be 2 data types(RNA and ATAC),"
"but input was only {}.format(len(x_))"
)
x_rna = x_[0]
x_atac = x_[1]
if self.log_variational:
x_rna = torch.log(1 + x_rna)
x_atac = torch.log(1 + x_atac)
# Sampling
qz_rna_m, qz_rna_v, rna_z = self.RNA_encoder(x_rna, y)
qz_atac_m, qz_atac_v, atac_z = self.ATAC_encoder(x_atac, y)
qz_m, qz_v, z = self.RNA_ATAC_encoder([x_rna, x_atac], y)
gamma, mu_c, var_c, pi = self.get_gamma(z) # , self.n_centroids, c_params)
index = torch.argmax(gamma,dim=1)
#mu_c_max = torch.tensor([])
#var_c_max = torch.tensor([])
#for index1 in range(len(index)):
# mu_c_max = torch.cat((mu_c_max, mu_c[index1,:,index[index1]].float()),1)
# var_c_max = torch.cat((var_c_max, var_c[index1,:,index[index1]].float()),1)
index1 = [i for i in range(len(index))]
mu_c_max = mu_c[index1,:,index]
var_c_max = var_c[index1,:,index]
z_c_max = reparameterize_gaussian(mu_c_max, var_c_max)
#decoder
p_rna_scale, p_rna_r, p_rna_rate, p_rna_dropout, p_atac_scale, p_atac_r, p_atac_mean, p_atac_dropout\
= self.RNA_ATAC_decoder(z, z_c_max, y)
if self.dispersion == "gene-label":
p_rna_r = F.linear(
one_hot(y, self.n_labels), self.px_r
) # px_r gets transposed - last dimension is nb genes
p_atac_r = F.linear(
one_hot(y, self.n_labels), self.p_atac_r
)
elif self.dispersion == "gene-batch":
p_rna_r = F.linear(one_hot(batch_index, self.n_batch), self.px_r)
p_atac_r = F.linear(one_hot(batch_index, self.n_batch), self.p_atac_r)
elif self.dispersion == "gene":
p_rna_r = self.px_r
p_atac_r = self.p_atac_r
p_rna_r = torch.exp(p_rna_r)
p_atac_r = torch.exp(p_atac_r)
return dict(
p_rna_scale=p_rna_scale,
p_rna_r=p_rna_r,
p_rna_rate=p_rna_rate,
p_rna_dropout=p_rna_dropout,
p_atac_scale=p_atac_scale,
p_atac_r=p_atac_r,
p_atac_mean=p_atac_mean,
p_atac_dropout=p_atac_dropout,
qz_rna_m=qz_rna_m,
qz_rna_v=qz_rna_v,
rna_z=rna_z,
qz_atac_m=qz_atac_m,
qz_atac_v=qz_atac_v,
atac_z=atac_z,
qz_m=qz_m,
qz_v=qz_v,
z=z,
mu_c=mu_c,
var_c=var_c,
gamma=gamma,
pi=pi,
mu_c_max=mu_c_max,
var_c_max=var_c_max,
z_c_max=z_c_max,
)
