def mean_squared_error(
data_dim,
sequence_length,
source_sequence,
target_sequence,
scale_decay=0.8,
):
# Compute inner product between source and target vectors
# Note: Inner products are computed for each (x,y) pair and a
# weighted sum is computed. The scaling factors sum to 1 and decay
# exponentially as x and y get further apart in the sequence.
prods = lbann.MatMul(
source_sequence,
target_sequence,
transpose_b=True,
)
scale_dims = (sequence_length, sequence_length)
scales = np.zeros(scale_dims)
for i in range(sequence_length):
for j in range(sequence_length):
if i != j:
scales[i, j] = ((1 - scale_decay) / (2 * scale_decay) *
scale_decay**np.abs(j - i))
scales = lbann.Weights(
initializer=lbann.ValueInitializer(
values=utils.str_list(np.nditer(scales))),
optimizer=lbann.NoOptimizer(),
)
scales = lbann.WeightsLayer(dims=utils.str_list(scale_dims),
weights=scales)
prods = lbann.MatMul(
lbann.Reshape(prods, dims='1 -1'),
lbann.Reshape(scales, dims='1 -1'),
transpose_b=True,
)
prods = lbann.Reshape(prods, dims='1')
# MSE(x,y) = ( norm(x)^2 + norm(y)^T - 2*prod(x,y) ) / dim(x)
scale = 1 / (data_dim * sequence_length)
return lbann.WeightedSum(lbann.L2Norm2(source_sequence),
lbann.L2Norm2(target_sequence),
prods,
scaling_factors=utils.str_list(
[scale, scale, -2 * scale]))
def forward(self, _):
w = lbann.WeightsLayer(weights=self.weights,
dims='%d %d'.format(self.width, self.height))
slice = lbann.Slice(w,
axis=0,
slice_points=' '.join(range(self.width + 1)))
cols = []
for _ in range(self.width):
cols.append(lbann.Sqrt(lbann.L2Norm2(slice)))
return lbann.Sum(cols)
def construct_jag_wae_model(ydim, zdim, mcf, useCNN, dump_models,
ltfb_batch_interval, num_epochs):
"""Construct LBANN model.
JAG Wasserstein autoencoder model
"""
# Layer graph
input = lbann.Input(data_field='samples', name='inp_data')
# data is 64*64*4 images + 15 scalar + 5 param
#inp_slice = lbann.Slice(input, axis=0, slice_points="0 16399 16404",name='inp_slice')
inp_slice = lbann.Slice(input,
axis=0,
slice_points=str_list([0, ydim, ydim + 5]),
name='inp_slice')
gt_y = lbann.Identity(inp_slice, name='gt_y')
gt_x = lbann.Identity(inp_slice, name='gt_x') #param not used
zero = lbann.Constant(value=0.0, num_neurons='1', name='zero')
one = lbann.Constant(value=1.0, num_neurons='1', name='one')
z_dim = 20 #Latent space dim
z = lbann.Gaussian(mean=0.0, stdev=1.0, neuron_dims="20")
model = macc_network_architectures.MACCWAE(zdim,
ydim,
cf=mcf,
use_CNN=useCNN)
d1_real, d1_fake, d_adv, pred_y = model(z, gt_y)
d1_real_bce = lbann.SigmoidBinaryCrossEntropy([d1_real, one],
name='d1_real_bce')
d1_fake_bce = lbann.SigmoidBinaryCrossEntropy([d1_fake, zero],
name='d1_fake_bce')
d_adv_bce = lbann.SigmoidBinaryCrossEntropy([d_adv, one], name='d_adv_bce')
img_loss = lbann.MeanSquaredError([pred_y, gt_y])
rec_error = lbann.L2Norm2(
lbann.WeightedSum([pred_y, gt_y], scaling_factors="1 -1"))
layers = list(lbann.traverse_layer_graph(input))
# Setup objective function
weights = set()
src_layers = []
dst_layers = []
for l in layers:
if (l.weights and "disc0" in l.name and "instance1" in l.name):
src_layers.append(l.name)
#freeze weights in disc2
if (l.weights and "disc1" in l.name):
dst_layers.append(l.name)
for idx in range(len(l.weights)):
l.weights[idx].optimizer = lbann.NoOptimizer()
weights.update(l.weights)
l2_reg = lbann.L2WeightRegularization(weights=weights, scale=1e-4)
d_adv_bce = lbann.LayerTerm(d_adv_bce, scale=0.01)
obj = lbann.ObjectiveFunction(
[d1_real_bce, d1_fake_bce, d_adv_bce, img_loss, rec_error, l2_reg])
# Initialize check metric callback
metrics = [lbann.Metric(img_loss, name='recon_error')]
#pred_y = macc_models.MACCWAE.pred_y_name
callbacks = [
lbann.CallbackPrint(),
lbann.CallbackTimer(),
lbann.CallbackPrintModelDescription(),
lbann.CallbackSaveModel(dir=dump_models),
lbann.CallbackReplaceWeights(source_layers=list2str(src_layers),
destination_layers=list2str(dst_layers),
batch_interval=2)
]
if (ltfb_batch_interval > 0):
callbacks.append(
lbann.CallbackLTFB(batch_interval=ltfb_batch_interval,
metric='recon_error',
low_score_wins=True,
exchange_hyperparameters=True))
# Construct model
return lbann.Model(num_epochs,
weights=weights,
layers=layers,
metrics=metrics,
objective_function=obj,
callbacks=callbacks)
def construct_model():
"""Construct LBANN model.
JAG Wasserstein autoencoder model
"""
import lbann
# Layer graph
input = lbann.Input(target_mode='N/A',name='inp_data')
# data is 64*64*4 images + 15 scalar + 5 param
inp_slice = lbann.Slice(input, axis=0, slice_points="0 16399 16404",name='inp_slice')
gt_y = lbann.Identity(inp_slice,name='gt_y')
gt_x = lbann.Identity(inp_slice, name='gt_x') #param not used
zero = lbann.Constant(value=0.0,num_neurons='1',name='zero')
one = lbann.Constant(value=1.0,num_neurons='1',name='one')
y_dim = 16399 #image+scalar shape
z_dim = 20 #Latent space dim
z = lbann.Gaussian(mean=0.0,stdev=1.0, neuron_dims="20")
d1_real, d1_fake, d_adv, pred_y = jag_models.WAE(z_dim,y_dim)(z,gt_y)
d1_real_bce = lbann.SigmoidBinaryCrossEntropy([d1_real,one],name='d1_real_bce')
d1_fake_bce = lbann.SigmoidBinaryCrossEntropy([d1_fake,zero],name='d1_fake_bce')
d_adv_bce = lbann.SigmoidBinaryCrossEntropy([d_adv,one],name='d_adv_bce')
img_loss = lbann.MeanSquaredError([pred_y,gt_y])
rec_error = lbann.L2Norm2(lbann.WeightedSum([pred_y,gt_y], scaling_factors="1 -1"))
layers = list(lbann.traverse_layer_graph(input))
# Setup objective function
weights = set()
src_layers = []
dst_layers = []
for l in layers:
if(l.weights and "disc0" in l.name and "instance1" in l.name):
src_layers.append(l.name)
#freeze weights in disc2
if(l.weights and "disc1" in l.name):
dst_layers.append(l.name)
for idx in range(len(l.weights)):
l.weights[idx].optimizer = lbann.NoOptimizer()
weights.update(l.weights)
l2_reg = lbann.L2WeightRegularization(weights=weights, scale=1e-4)
d_adv_bce = lbann.LayerTerm(d_adv_bce,scale=0.01)
obj = lbann.ObjectiveFunction([d1_real_bce,d1_fake_bce,d_adv_bce,img_loss,rec_error,l2_reg])
# Initialize check metric callback
metrics = [lbann.Metric(img_loss, name='recon_error')]
callbacks = [lbann.CallbackPrint(),
lbann.CallbackTimer(),
lbann.CallbackReplaceWeights(source_layers=list2str(src_layers),
destination_layers=list2str(dst_layers),
batch_interval=2)]
# Construct model
num_epochs = 100
return lbann.Model(num_epochs,
weights=weights,
layers=layers,
metrics=metrics,
objective_function=obj,
callbacks=callbacks)