def construct_model():
"""Construct LBANN model.
Pilot1 Combo model
"""
import lbann
# Layer graph
data = lbann.Input(data_field='samples')
responses = lbann.Input(data_field='responses')
pred = combo.Combo()(data)
mse = lbann.MeanSquaredError([responses, pred])
SS_res = lbann.Reduction(lbann.Square(lbann.Subtract(responses, pred)),
mode='sum')
#SS_tot = var(x) = mean((x-mean(x))^2)
mini_batch_size = lbann.MiniBatchSize()
mean = lbann.Divide(lbann.BatchwiseReduceSum(responses), mini_batch_size)
SS_tot = lbann.Divide(
lbann.BatchwiseReduceSum(lbann.Square(lbann.Subtract(responses,
mean))),
mini_batch_size)
eps = lbann.Constant(value=1e-07, hint_layer=SS_tot)
r2 = lbann.Subtract(lbann.Constant(value=1, num_neurons='1'),
lbann.Divide(SS_res, lbann.Add(SS_tot, eps)))
metrics = [lbann.Metric(mse, name='mse')]
metrics.append(lbann.Metric(r2, name='r2'))
callbacks = [lbann.CallbackPrint(), lbann.CallbackTimer()]
# Construct model
num_epochs = 100
layers = list(lbann.traverse_layer_graph([data, responses]))
return lbann.Model(num_epochs,
layers=layers,
metrics=metrics,
objective_function=mse,
callbacks=callbacks)
# Pearson Correlation
# rho(x,y) = covariance(x,y) / sqrt( variance(x) * variance(y) )
pearson_r_cov = lbann.Covariance([pred, responses], name="pearson_r_cov")
pearson_r_var1 = lbann.Variance(responses, name="pearson_r_var1")
pearson_r_var2 = lbann.Variance(pred, name="pearson_r_var2")
pearson_r_mult = lbann.Multiply([pearson_r_var1, pearson_r_var2],
name="pearson_r_mult")
pearson_r_sqrt = lbann.Sqrt(pearson_r_mult, name="pearson_r_sqrt")
eps = lbann.Constant(value=1e-07, hint_layer=pearson_r_sqrt)
pearson_r = lbann.Divide(
[pearson_r_cov, lbann.Add(pearson_r_sqrt, eps)], name="pearson_r")
metrics = [lbann.Metric(mse, name='mse')]
metrics.append(lbann.Metric(pearson_r, name='pearson_r'))
callbacks = [lbann.CallbackPrint(), lbann.CallbackTimer()]
layers = list(lbann.traverse_layer_graph([images, responses]))
model = lbann.Model(args.num_epochs,
layers=layers,
metrics=metrics,
objective_function=mse,
callbacks=callbacks)
# Load data reader from prototext
data_reader_proto = lbann.lbann_pb2.LbannPB()
def compute_loss(self, x, y):
# y[:, :-1]
y = lbann.Slice(
y,
axis=0,
slice_points=str_list([0, self.input_feature_dims - 1]),
)
y = lbann.Identity(y)
# x[:, 1:]
x = lbann.Slice(
x,
slice_points=str_list([1, self.input_feature_dims]),
)
x = lbann.Identity(x)
# Convert indices in x to one-hot representation
# Note: Ignored indices result in zero vectors
ignore_mask = lbann.Equal(
x,
self.constant(self.label_to_ignore, hint_layer=x),
)
keep_mask = lbann.LogicalNot(ignore_mask)
length = lbann.Reduction(keep_mask, mode='sum')
length = lbann.Max(length, self.constant(1, [1]))
x = lbann.Add(
lbann.Multiply(keep_mask, x),
lbann.Multiply(ignore_mask, self.constant(-1, hint_layer=x)),
)
x = lbann.Slice(x,
slice_points=str_list(range(self.input_feature_dims)))
x = [lbann.Identity(x) for _ in range(self.input_feature_dims - 1)]
x = [lbann.OneHot(xi, size=self.dictionary_size) for xi in x]
x = [
lbann.Reshape(xi, dims=str_list([1, self.dictionary_size]))
for xi in x
]
x = lbann.Concatenation(x, axis=0)
# recon_loss = F.cross_entropy(
# y[:, :-1].contiguous().view(-1, y.size(-1)),
# x[:, 1:].contiguous().view(-1),
# ignore_index=self.pad
# )
# Note: Ideally we'd shift y by y.max(-1) for numerical stability
shifts = lbann.MatMul(
lbann.Max(y, self.constant(0, hint_layer=y)),
self.constant(
1 / math.sqrt(self.dictionary_size),
[self.dictionary_size, self.dictionary_size],
),
)
y = lbann.Subtract(y, shifts)
z = lbann.MatMul(
lbann.Exp(y),
self.constant(1, [self.dictionary_size, 1]),
)
z = lbann.Log(z)
z = lbann.MatMul(
lbann.Reshape(keep_mask, dims=str_list([1, -1])),
z,
)
recon_loss = lbann.MatMul(
lbann.Reshape(y, dims=str_list([1, -1])),
lbann.Reshape(x, dims=str_list([1, -1])),
transpose_b=True,
)
recon_loss = lbann.Subtract(z, recon_loss)
recon_loss = lbann.Reshape(recon_loss, dims=str_list([1]))
recon_loss = lbann.Divide(recon_loss, length)
return recon_loss
data_layout="model_parallel")
pearson_r_var2 = lbann.Variance(reconstruction,
name="pearson_r_var1",
data_layout="model_parallel")
pearson_r_mult = lbann.Multiply([pearson_r_var1, pearson_r_var2],
name="pearson_r_mult",
data_layout="model_parallel")
pearson_r_sqrt = lbann.Sqrt(pearson_r_mult,
name="pearson_r_sqrt",
data_layout="model_parallel")
pearson_r = lbann.Divide([pearson_r_cov, pearson_r_sqrt],
name="pearson_r",
data_layout="model_parallel")
layer_list = list(lbann.traverse_layer_graph(input_))
# Set up objective function
layer_term = lbann.LayerTerm(mean_squared_error)
obj = lbann.ObjectiveFunction(layer_term)
# Metrics
metrics = [lbann.Metric(pearson_r, name="Pearson correlation")]
# Callbacks
callbacks = [lbann.CallbackPrint(), lbann.CallbackTimer()]
# Setup Model
def make_model(
num_epochs,
embed_dim,
num_heads,
label_smoothing,
):
# Embedding weights
var = 2 / (embed_dim + vocab_size) # Glorot initialization
embedding_weights = lbann.Weights(
name='embeddings',
initializer=lbann.NormalInitializer(standard_deviation=math.sqrt(var)),
)
# Input is two sequences of token IDs
input_ = lbann.Input(data_field='samples')
# Get sequences of embedding vectors
# Note: Scale embeddings by sqrt(embed_dim).
# Note: Decoder input is shifted right, so embedding for last
# token isn't needed.
embeddings_tokens = lbann.Identity(
lbann.Slice(
input_,
axis=0,
slice_points=str_list([0, 2 * sequence_length - 1]),
))
embeddings = lbann.Embedding(
embeddings_tokens,
weights=embedding_weights,
num_embeddings=vocab_size,
embedding_dim=embed_dim,
padding_idx=pad_index,
)
embeddings = lbann.WeightedSum(
embeddings,
scaling_factors=str(math.sqrt(embed_dim)),
)
embeddings_slice = lbann.Slice(
embeddings,
axis=0,
slice_points=str_list([0, sequence_length, 2 * sequence_length - 1]),
)
encoder_input = lbann.Identity(embeddings_slice)
decoder_input = lbann.Identity(embeddings_slice)
# Apply transformer model
transformer = lbann.models.Transformer(
hidden_size=embed_dim,
num_heads=num_heads,
name='transformer',
)
result = transformer(
encoder_input,
sequence_length,
decoder_input,
sequence_length - 1,
)
# Reconstruct decoder input
preds = lbann.ChannelwiseFullyConnected(
result,
weights=embedding_weights,
output_channel_dims=[vocab_size],
bias=False,
transpose=True,
)
preds = lbann.ChannelwiseSoftmax(preds)
preds = lbann.Slice(preds,
axis=0,
slice_points=str_list(range(sequence_length)))
preds = [lbann.Identity(preds) for _ in range(sequence_length - 1)]
# Count number of non-pad tokens
label_tokens = lbann.Identity(
lbann.Slice(
input_,
slice_points=str_list([sequence_length + 1, 2 * sequence_length]),
))
pads = lbann.Constant(value=pad_index,
num_neurons=str(sequence_length - 1))
is_not_pad = lbann.NotEqual(label_tokens, pads)
num_not_pad = lbann.Reduction(is_not_pad, mode='sum')
# Cross entropy loss with label smoothing
label_tokens = lbann.Slice(
label_tokens,
slice_points=str_list(range(sequence_length)),
)
label_tokens = [
lbann.Identity(label_tokens) for _ in range(sequence_length - 1)
]
if label_smoothing > 0:
uniform_label = lbann.Constant(value=1 / vocab_size,
num_neurons=str_list([1, vocab_size]))
loss = []
for i in range(sequence_length - 1):
label = lbann.OneHot(label_tokens[i], size=vocab_size)
label = lbann.Reshape(label, dims=str_list([1, vocab_size]))
if label_smoothing > 0:
label = lbann.WeightedSum(
label,
uniform_label,
scaling_factors=str_list(
[1 - label_smoothing, label_smoothing]),
)
loss.append(lbann.CrossEntropy(preds[i], label))
loss = lbann.Concatenation(loss)
# Average cross entropy over non-pad tokens
loss_scales = lbann.Divide(
is_not_pad,
lbann.Tessellate(num_not_pad, hint_layer=is_not_pad),
)
loss = lbann.Multiply(loss, loss_scales)
loss = lbann.Reduction(loss, mode='sum')
# Construct model
metrics = []
callbacks = [lbann.CallbackPrint(), lbann.CallbackTimer()]
return lbann.Model(
num_epochs,
layers=lbann.traverse_layer_graph(input_),
objective_function=loss,
metrics=metrics,
callbacks=callbacks,
)
def compute_loss(self, x, y):
# y[:, :-1]
y = lbann.Slice(
y,
axis=0,
slice_points=str_list([0, self.input_feature_dims-1]),
)
y = lbann.Identity(y)
# x[:, 1:]
x = lbann.Slice(
x,
slice_points=str_list([1, self.input_feature_dims]),
)
x = lbann.Identity(x)
# Figure out entries in x to ignore
ignore_mask = lbann.Equal(
x,
self.constant(self.label_to_ignore, hint_layer=x),
)
keep_mask = lbann.LogicalNot(ignore_mask)
length = lbann.Reduction(keep_mask, mode='sum')
length = lbann.Max(length, self.constant(1, [1]))
# Convert entries in x to indices in y
# Note: Ignored entries correspond to an index of -1.
offsets = [
row*self.dictionary_size
for row in range(self.input_feature_dims-1)
]
offsets = lbann.Weights(
initializer=lbann.ValueInitializer(values=str_list(offsets)),
optimizer=lbann.NoOptimizer(),
)
offsets = lbann.WeightsLayer(
dims=str_list([self.input_feature_dims-1]),
weights=offsets,
)
y_inds = lbann.Add(x, offsets)
y_inds = lbann.Add(
lbann.Multiply(keep_mask, y_inds),
lbann.Multiply(
ignore_mask,
self.constant(-1, hint_layer=y_inds),
),
)
# recon_loss = F.cross_entropy(
# y[:, :-1].contiguous().view(-1, y.size(-1)),
# x[:, 1:].contiguous().view(-1),
# ignore_index=self.pad
# )
# Shift y for numerical stability
# Note: We'd prefer to shift by y.max(-1)
shifts = lbann.MatMul(
lbann.Max(y, self.constant(0, hint_layer=y)),
self.constant(
1 / math.sqrt(self.dictionary_size),
[self.dictionary_size, self.dictionary_size],
),
)
y = lbann.Subtract(y, shifts)
# Compute log of softmax denominator and sum
z = lbann.MatMul(
lbann.Exp(y),
self.constant(1, [self.dictionary_size, 1]),
)
z = lbann.Log(z)
z = lbann.MatMul(
lbann.Reshape(keep_mask, dims=str_list([1, -1])),
z,
)
z = lbann.Reshape(z, dims=str_list([1]))
# Compute cross entropy
recon_loss = lbann.Gather(
lbann.Reshape(y, dims=str_list([-1])),
y_inds,
)
recon_loss = lbann.Reduction(recon_loss, mode='sum')
recon_loss = lbann.Subtract(z, recon_loss)
recon_loss = lbann.Divide(recon_loss, length)
return recon_loss
