def latent_units(model: VariationalModel, valid_ds: tf.data.Dataset):
weights = model.weights
Qz = []
Pz = []
for x, y in valid_ds.take(10):
_call(model, x, y, decode=True)
qz, pz = model.get_latents(return_prior=True)
Qz.append(as_tuple(qz))
Pz.append(as_tuple(pz))
n_latents = len(Qz[0])
for i in range(n_latents):
qz: Sequence[Distribution] = [q[i] for q in Qz]
pz: Sequence[Distribution] = [p[i] for p in Pz]
# tracking kl
kld = []
for q, p in zip(qz, pz):
q = Normal(loc=q.mean(), scale=q.stddev())
z = q.sample()
if isinstance(p, Vamprior):
C = p.C
p = p.distribution # [n_components, zdim]
p = Normal(loc=p.mean(), scale=p.stddev())
kld.append(
q.log_prob(z) - (tf.reduce_logsumexp(
p.log_prob(tf.expand_dims(z, 1)), 1) - C))
else:
p = Normal(loc=p.mean(), scale=p.stddev())
kld.append(q.log_prob(z) - p.log_prob(z))
kld = tf.reshape(tf.reduce_mean(tf.concat(kld, 0), axis=0),
-1).numpy()
# mean and stddev
mean = tf.reduce_mean(tf.concat([d.mean() for d in qz], axis=0), 0)
stddev = tf.reduce_mean(
tf.concat([d.stddev() for d in qz], axis=0), 0)
mean = tf.reshape(mean, -1).numpy()
stddev = tf.reshape(stddev, -1).numpy()
zdim = mean.shape[0]
# the figure
plt.figure(figsize=(12, 5), dpi=50)
lines = []
ids = np.argsort(stddev)
styles = dict(marker='o', markersize=2, linewidth=0, alpha=0.8)
lines += plt.plot(mean[ids], label='mean', color='r', **styles)
lines += plt.plot(stddev[ids], label='stddev', color='b', **styles)
plt.grid(False)
# show weights if exists
plt.twinx()
lines += plt.plot(kld[ids],
label='KL(q|p)',
linestyle='--',
linewidth=1.0,
alpha=0.6)
for w in weights:
name = w.name
if w.shape.rank > 0 and w.shape[
0] == zdim and '/kernel' in name:
w = tf.linalg.norm(tf.reshape(w, (w.shape[0], -1)),
axis=1).numpy()
lines += plt.plot(w[ids],
label=name.split(':')[0],
linestyle='--',
alpha=0.6)
plt.grid(False)
plt.legend(lines, [ln.get_label() for ln in lines], fontsize=6)
# save summary
tf.summary.image(f'z{i}',
vs.plot_to_image(plt.gcf()),
step=model.step)
tf.summary.histogram(f'z{i}/mean', mean, step=model.step)
tf.summary.histogram(f'z{i}/stddev', stddev, step=model.step)
tf.summary.histogram(f'z{i}/kld', kld, step=model.step)
def evaluate(vae: VariationalAutoencoder,
ds: ImageDataset,
expdir: str,
title: str,
batch_size: int = 64,
take_count: int = -1,
n_images: int = 36,
seed: int = 1):
n_rows = int(np.sqrt(n_images))
is_semi = vae.is_semi_supervised()
is_hierarchical = vae.is_hierarchical()
ds_kw = dict(batch_size=batch_size, label_percent=1.0, shuffle=False)
## prepare
rand = np.random.RandomState(seed=seed)
if not os.path.exists(expdir):
os.makedirs(expdir)
## data for training semi-supervised
train = ds.create_dataset('train', **ds_kw)
(llkx_train, llky_train, x_org_train, x_rec_train, y_true_train,
y_pred_train, z_train, pz_train) = _call(vae,
ds=train,
rand=rand,
take_count=take_count,
n_images=n_images,
verbose=True)
## data for testing
test = ds.create_dataset('test', **ds_kw)
(llkx_test, llky_test, x_org_test, x_rec_test, y_true_test, y_pred_test,
z_test, pz_test) = _call(vae,
ds=test,
rand=rand,
take_count=take_count,
n_images=n_images,
verbose=True)
# === 0. plotting latent-factor pairs
for idx, z in enumerate(z_test):
z = z.mean()
f = y_true_test
corr_mat = Correlation.Spearman(z, f) # [n_latents, n_factors]
plot_latents_pairs(z, f, corr_mat, ds.labels)
vs.plot_save(f'{expdir}/latent{idx}_factor.pdf', dpi=100, verbose=True)
# === 0. latent traverse plot
x_travs = x_org_test
if x_travs.ndim == 3: # grayscale image
x_travs = np.expand_dims(x_travs, -1)
else: # color image
x_travs = np.transpose(x_travs, (0, 2, 3, 1))
x_travs = x_travs[rand.permutation(x_travs.shape[0])]
n_visual_samples = 5
n_traverse_points = 21
n_top_latents = 10
plt.figure(figsize=(8, 3 * n_visual_samples))
for i in range(n_visual_samples):
images = vae.sample_traverse(x_travs[i:i + 1],
min_val=-np.min(z_test[0].mean()),
max_val=np.max(z_test[0].mean()),
n_best_latents=n_top_latents,
n_traverse_points=n_traverse_points,
mode='linear')
images = as_tuple(images)[0]
images = _prepare_images(images.mean().numpy(), normalize=True)
vs.plot_images(images,
grids=(n_top_latents, n_traverse_points),
ax=(n_visual_samples, 1, i + 1))
if i == 0:
plt.title('Latents traverse')
plt.tight_layout()
vs.plot_save(f'{expdir}/latents_traverse.pdf', dpi=180, verbose=True)
# === 0. prior sampling plot
images = as_tuple(vae.sample_observation(n=n_images, seed=seed))[0]
images = _prepare_images(images.mean().numpy(), normalize=True)
plt.figure(figsize=(5, 5))
vs.plot_images(images, grids=(n_rows, n_rows), title='Sampled')
# === 1. reconstruction plot
plt.figure(figsize=(15, 15))
vs.plot_images(x_org_train,
grids=(n_rows, n_rows),
ax=(2, 2, 1),
title='[Train]Original')
vs.plot_images(x_rec_train,
grids=(n_rows, n_rows),
ax=(2, 2, 2),
title='[Train]Reconstructed')
vs.plot_images(x_org_test,
grids=(n_rows, n_rows),
ax=(2, 2, 3),
title='[Test]Original')
vs.plot_images(x_rec_test,
grids=(n_rows, n_rows),
ax=(2, 2, 4),
title='[Test]Reconstructed')
plt.tight_layout()
## prepare the labels
label_type = ds.label_type
if label_type == 'categorical':
labels_name = ds.labels
true = np.argmax(y_true_test, axis=-1)
labels_true = np.array([labels_name[i] for i in true])
labels_pred = labels_true
if is_semi:
pred = np.argmax(y_pred_test.mean().numpy(), axis=-1)
labels_pred = np.array([labels_name[i] for i in pred])
elif label_type == 'factor': # dsprites, shapes3d
labels_name = ['cube', 'cylinder', 'sphere', 'round'] \
if 'shapes3d' in ds.name else ['square', 'ellipse', 'heart']
true = y_true_test[:, 2].astype('int32')
labels_true = np.array([labels_name[i] for i in true])
labels_pred = labels_true
if is_semi:
pred = get_ymean(y_pred_test)[:, 2].astype('int32')
labels_pred = np.array([labels_name[i] for i in pred])
else: # CelebA
raise NotImplementedError
## confusion matrix
if is_semi:
plt.figure(figsize=(8, 8))
acc = accuracy_score(y_true=true, y_pred=pred)
vs.plot_confusion_matrix(cm=confusion_matrix(y_true=true, y_pred=pred),
labels=labels_name,
cbar=True,
fontsize=10,
title=f'{title} Acc:{acc:.2f}')
## save arrays for later inspections
with open(f'{expdir}/arrays', 'wb') as f:
pickle.dump(
dict(z_train=z_train,
y_pred_train=y_pred_train,
y_true_train=y_true_train,
z_test=z_test,
y_pred_test=y_pred_test,
y_true_test=y_true_test,
labels=labels_name,
ds=ds.name,
label_type=label_type), f)
print(f'Exported arrays to "{expdir}/arrays"')
## semi-supervised
z_mean_train = np.concatenate(
[z.mean().numpy().reshape(z.batch_shape[0], -1) for z in z_train], -1)
z_mean_test = np.concatenate(
[z.mean().numpy().reshape(z.batch_shape[0], -1) for z in z_test], -1)
# === 2. scatter points latents plot
n_points = 5000
ids = rand.permutation(len(labels_true))[:n_points]
Y_true = labels_true[ids]
Y_pred = labels_pred[ids]
# tsne plot
n_latents = 0 if len(z_train) == 1 else len(z_train)
for name, X in zip(
['all'] + [f'latents{i}'
for i in range(n_latents)], [z_mean_test[ids]] +
[z_test[i].mean().numpy()[ids] for i in range(n_latents)]):
print(f'Plot scatter points for {name}')
X = X.reshape(X.shape[0], -1) # flatten to 2D
X = Pipeline([('zscore', StandardScaler()),
('pca', PCA(min(X.shape[1], 512),
random_state=seed))]).fit_transform(X)
tsne = DimReduce.TSNE(X, n_components=2, framework='sklearn')
kw = dict(x=tsne[:, 0], y=tsne[:, 1], grid=False, size=12.0, alpha=0.8)
plt.figure(figsize=(12, 6))
vs.plot_scatter(color=Y_true,
title=f'[True]{title}-{name}',
ax=(1, 2, 1),
**kw)
vs.plot_scatter(color=Y_pred,
title=f'[Pred]{title}-{name}',
ax=(1, 2, 2),
**kw)
## save all plot
vs.plot_save(f'{expdir}/analysis.pdf', dpi=180, verbose=True)
# === 3. show the latents statistics
n_latents = len(z_train)
colors = sns.color_palette(n_colors=len(labels_true))
styles = dict(grid=False,
ticks_off=False,
alpha=0.6,
xlabel='mean',
ylabel='stddev')
# scatter between latents and labels (assume categorical distribution)
def _show_latents_labels(Z, Y, title):
plt.figure(figsize=(5 * n_latents, 5), dpi=150)
for idx, z in enumerate(Z):
if len(z.batch_shape) == 0:
mean = np.repeat(np.expand_dims(z.mean(), 0), Y.shape[0], 0)
stddev = z.sample(Y.shape[0]) - mean
else:
mean = flatten(z.mean())
stddev = flatten(z.stddev())
y = np.argmax(Y, axis=-1)
data = [[], [], []]
for y_i, c in zip(np.unique(y), colors):
mask = (y == y_i)
data[0].append(np.mean(mean[mask], 0))
data[1].append(np.mean(stddev[mask], 0))
data[2].append([labels_true[y_i]] * mean.shape[1])
vs.plot_scatter(
x=np.concatenate(data[0], 0),
y=np.concatenate(data[1], 0),
color=np.concatenate(data[2], 0),
ax=(1, n_latents, idx + 1),
size=15 if mean.shape[1] < 128 else 8,
title=f'[Test-{title}]#{idx} - {mean.shape[1]} (units)',
**styles)
plt.tight_layout()
# simple scatter mean-stddev each latents
def _show_latents(Z, title):
plt.figure(figsize=(3.5 * n_latents, 3.5), dpi=150)
for idx, z in enumerate(Z):
mean = flatten(z.mean())
stddev = flatten(z.stddev())
if mean.ndim == 2:
mean = np.mean(mean, 0)
stddev = np.mean(stddev, 0)
vs.plot_scatter(
x=mean,
y=stddev,
ax=(1, n_latents, idx + 1),
size=15 if len(mean) < 128 else 8,
title=f'[Test-{title}]#{idx} - {len(mean)} (units)',
**styles)
_show_latents_labels(z_test, y_true_test, 'post')
_show_latents_labels(pz_test, y_true_test, 'prior')
_show_latents(z_test, 'post')
_show_latents(pz_test, 'prior')
# KL statistics
vs.plot_figure()
for idx, (qz, pz) in enumerate(zip(z_test, pz_test)):
kl = []
qz = Normal(loc=qz.mean(), scale=qz.stddev(), name=f'posterior{idx}')
pz = Normal(loc=pz.mean(), scale=pz.stddev(), name=f'prior{idx}')
for s, e in minibatch(batch_size=8, n=100):
z = qz.sample(e - s)
# don't do this in GPU, it explodes!
kl.append((qz.log_prob(z) - pz.log_prob(z)).numpy())
kl = np.concatenate(kl, 0) # (mcmc, batch, event)
# per sample
kl_samples = np.sum(kl, as_tuple(list(range(2, kl.ndim))))
kl_samples = logsumexp(kl_samples, 0)
plt.subplot(n_latents, 2, idx * 2 + 1)
sns.histplot(kl_samples, bins=50)
plt.title(f'Z#{idx} KL per sample (nats)')
# per latent
kl_latents = np.mean(flatten(logsumexp(kl, 0)), 0)
plt.subplot(n_latents, 2, idx * 2 + 2)
plt.plot(np.sort(kl_latents))
plt.title(f'Z#{idx} KL per dim (nats)')
plt.tight_layout()
vs.plot_save(f'{expdir}/latents.pdf', dpi=180, verbose=True)
