def test_edge_softmax(g, norm_by, shp, idtype):
g = g.astype(idtype).to(F.ctx())
edata = F.tensor(np.random.rand(g.number_of_edges(), *shp))
e1 = F.attach_grad(F.clone(edata))
with F.record_grad():
score1 = edge_softmax(g, e1, norm_by=norm_by)
F.backward(F.reduce_sum(score1))
grad_edata = F.grad(e1)
with F.record_grad():
e2 = F.attach_grad(F.clone(edata))
e2_2d = F.reshape(
e2,
(g.number_of_src_nodes(), g.number_of_dst_nodes(), *e2.shape[1:]))
if norm_by == 'src':
score2 = F.softmax(e2_2d, 1)
score2 = F.reshape(score2, (-1, *e2.shape[1:]))
if norm_by == 'dst':
score2 = F.softmax(e2_2d, 0)
score2 = F.reshape(score2, (-1, *e2.shape[1:]))
assert F.allclose(score1, score2)
print('forward passed')
F.backward(F.reduce_sum(score2))
assert F.allclose(F.grad(e2), grad_edata)
print('backward passed')
def test_softmax_edges():
# test#1: basic
g0 = dgl.DGLGraph(nx.path_graph(10))
feat0 = F.randn((g0.number_of_edges(), 10))
g0.edata['x'] = feat0
ground_truth = F.softmax(feat0, dim=0)
assert F.allclose(dgl.softmax_edges(g0, 'x'), ground_truth)
g0.edata.pop('x')
# test#2: batched graph
g1 = dgl.DGLGraph(nx.path_graph(5))
g2 = dgl.DGLGraph(nx.path_graph(3))
g3 = dgl.DGLGraph()
g4 = dgl.DGLGraph(nx.path_graph(10))
bg = dgl.batch([g0, g1, g2, g3, g4])
feat1 = F.randn((g1.number_of_edges(), 10))
feat2 = F.randn((g2.number_of_edges(), 10))
feat4 = F.randn((g4.number_of_edges(), 10))
bg.edata['x'] = F.cat([feat0, feat1, feat2, feat4], 0)
ground_truth = F.cat([
F.softmax(feat0, 0),
F.softmax(feat1, 0),
F.softmax(feat2, 0),
F.softmax(feat4, 0)
], 0)
assert F.allclose(dgl.softmax_edges(bg, 'x'), ground_truth)
def test_edge_softmax():
# Basic
g = dgl.DGLGraph(nx.path_graph(3))
edata = F.ones((g.number_of_edges(), 1))
a = nn.edge_softmax(g, edata)
assert len(g.ndata) == 0
assert len(g.edata) == 0
assert F.allclose(a, uniform_attention(g, a.shape))
# Test higher dimension case
edata = F.ones((g.number_of_edges(), 3, 1))
a = nn.edge_softmax(g, edata)
assert len(g.ndata) == 0
assert len(g.edata) == 0
assert F.allclose(a, uniform_attention(g, a.shape))
# Test both forward and backward with PyTorch built-in softmax.
g = dgl.DGLGraph()
g.add_nodes(30)
# build a complete graph
for i in range(30):
for j in range(30):
g.add_edge(i, j)
score = F.randn((900, 1))
score.requires_grad_()
grad = F.randn((900, 1))
y = F.softmax(score.view(30, 30), dim=0).view(-1, 1)
y.backward(grad)
grad_score = score.grad
score.grad.zero_()
y_dgl = nn.edge_softmax(g, score)
assert len(g.ndata) == 0
assert len(g.edata) == 0
# check forward
assert F.allclose(y_dgl, y)
y_dgl.backward(grad)
# checkout gradient
assert F.allclose(score.grad, grad_score)
print(score.grad[:10], grad_score[:10])
# Test 2
def generate_rand_graph(n):
arr = (sp.sparse.random(n, n, density=0.1, format='coo') != 0).astype(np.int64)
return dgl.DGLGraph(arr, readonly=True)
g = generate_rand_graph(50)
a1 = F.randn((g.number_of_edges(), 1)).requires_grad_()
a2 = a1.clone().detach().requires_grad_()
g.edata['s'] = a1
g.group_apply_edges('dst', lambda edges: {'ss':F.softmax(edges.data['s'], 1)})
g.edata['ss'].sum().backward()
builtin_sm = nn.edge_softmax(g, a2)
builtin_sm.sum().backward()
print(a1.grad - a2.grad)
assert len(g.ndata) == 0
assert len(g.edata) == 2
assert F.allclose(a1.grad, a2.grad, rtol=1e-4, atol=1e-4) # Follow tolerance in unittest backend
def softmax(x):
#assert x.ndim==2 # todo
if x.ndim == 2:
return K.softmax(x)
if x.ndim > 2:
shape = x.shape
x_flatten = x.reshape((K.prod(shape[0:-1]), shape[-1]))
return K.softmax(x_flatten).reshape(shape)
def softmax(x):
"""x can be tensor
"""
if x.ndim == 2:
return K.softmax(x)
if x.ndim > 2:
shape = x.shape
x_flatten = x.reshape((K.prod(shape[0:-1]), shape[-1]))
return K.softmax(x_flatten).reshape(shape)
def softmax( x ):
"""x can be tensor
"""
if x.ndim==2:
return K.softmax( x )
if x.ndim>2:
shape = x.shape
x_flatten = x.reshape( ( K.prod(shape[0:-1]), shape[-1] ) )
return K.softmax( x_flatten ).reshape( shape )
def _test(group_by):
g.group_apply_edges(group_by=group_by, func=edge_udf)
if group_by == 'src':
u, v, eid = g.out_edges(1, form='all')
else:
u, v, eid = g.in_edges(5, form='all')
out_feat = g.edges[eid].data['norm_feat']
result = (g.nodes[u].data['h'] + g.nodes[v].data['h']) * g.edges[eid].data['feat']
result = F.softmax(F.sum(result, dim=1), dim=0)
assert F.allclose(out_feat, result)
def test_softmax(g, idtype):
g = g.astype(idtype).to(F.ctx())
g.ndata['h'] = F.randn((g.number_of_nodes(), 3))
g.edata['h'] = F.randn((g.number_of_edges(), 2))
# Test.1: node readout
x = dgl.softmax_nodes(g, 'h')
subg = dgl.unbatch(g)
subx = []
for sg in subg:
subx.append(F.softmax(sg.ndata['h'], dim=0))
assert F.allclose(x, F.cat(subx, dim=0))
# Test.2: edge readout
x = dgl.softmax_edges(g, 'h')
subg = dgl.unbatch(g)
subx = []
for sg in subg:
subx.append(F.softmax(sg.edata['h'], dim=0))
assert F.allclose(x, F.cat(subx, dim=0))
def softmax(x):
ndim = K.ndim(x)
if ndim == 2:
return K.softmax(x)
elif ndim == 3:
e = K.exp(x - K.max(x, axis=-1, keepdims=True))
s = K.sum(e, axis=-1, keepdims=True)
return e / s
else:
raise ValueError('Cannot apply softmax to a tensor '
'that is not 2D or 3D. '
'Here, ndim=' + str(ndim))
def test_edge_softmax2(idtype, g):
g = g.astype(idtype).to(F.ctx())
g = g.local_var()
g.srcdata.clear()
g.dstdata.clear()
g.edata.clear()
a1 = F.randn((g.number_of_edges(), 1)).requires_grad_()
a2 = a1.clone().detach().requires_grad_()
g.edata['s'] = a1
g.group_apply_edges('dst', lambda edges: {'ss':F.softmax(edges.data['s'], 1)})
g.edata['ss'].sum().backward()
builtin_sm = nn.edge_softmax(g, a2)
builtin_sm.sum().backward()
#print(a1.grad - a2.grad)
assert len(g.srcdata) == 0
assert len(g.dstdata) == 0
assert len(g.edata) == 2
assert F.allclose(a1.grad, a2.grad, rtol=1e-4, atol=1e-4) # Follow tolerance in unittest backend
"""
def test_edge_softmax(idtype):
# Basic
g = dgl.graph(nx.path_graph(3))
g = g.astype(idtype).to(F.ctx())
edata = F.ones((g.number_of_edges(), 1))
a = nn.edge_softmax(g, edata)
assert len(g.ndata) == 0
assert len(g.edata) == 0
assert F.allclose(a, uniform_attention(g, a.shape))
# Test higher dimension case
edata = F.ones((g.number_of_edges(), 3, 1))
a = nn.edge_softmax(g, edata)
assert len(g.ndata) == 0
assert len(g.edata) == 0
assert F.allclose(a, uniform_attention(g, a.shape))
# Test both forward and backward with PyTorch built-in softmax.
g = dgl.rand_graph(30, 900)
g = g.astype(idtype).to(F.ctx())
score = F.randn((900, 1))
score.requires_grad_()
grad = F.randn((900, 1))
y = F.softmax(score.view(30, 30), dim=0).view(-1, 1)
y.backward(grad)
grad_score = score.grad
score.grad.zero_()
y_dgl = nn.edge_softmax(g, score)
assert len(g.ndata) == 0
assert len(g.edata) == 0
# check forward
assert F.allclose(y_dgl, y)
y_dgl.backward(grad)
# checkout gradient
assert F.allclose(score.grad, grad_score)
print(score.grad[:10], grad_score[:10])
def edge_udf(edges):
h = F.sum(edges.data['feat'] * (edges.src['h'] + edges.dst['h']),
dim=2)
normalized_feat = F.softmax(h, dim=1)
return {"norm_feat": normalized_feat}
def test_edge_softmax():
# Basic
g = dgl.DGLGraph(nx.path_graph(3)).to(F.ctx())
edata = F.ones((g.number_of_edges(), 1))
a = nn.edge_softmax(g, edata)
assert len(g.ndata) == 0
assert len(g.edata) == 0
assert F.allclose(a, uniform_attention(g, a.shape))
# Test higher dimension case
edata = F.ones((g.number_of_edges(), 3, 1))
a = nn.edge_softmax(g, edata)
assert len(g.ndata) == 0
assert len(g.edata) == 0
assert F.allclose(a, uniform_attention(g, a.shape))
# Test both forward and backward with Tensorflow built-in softmax.
g = dgl.DGLGraph().to(F.ctx())
g.add_nodes(30)
# build a complete graph
for i in range(30):
for j in range(30):
g.add_edge(i, j)
score = F.randn((900, 1))
with tf.GradientTape() as tape:
tape.watch(score)
grad = F.randn((900, 1))
y = tf.reshape(F.softmax(tf.reshape(score, (30, 30)), dim=0), (-1, 1))
grads = tape.gradient(y, [score])
grad_score = grads[0]
with tf.GradientTape() as tape:
tape.watch(score)
y_dgl = nn.edge_softmax(g, score)
assert len(g.ndata) == 0
assert len(g.edata) == 0
# check forward
assert F.allclose(y_dgl, y)
grads = tape.gradient(y_dgl, [score])
# checkout gradient
assert F.allclose(grads[0], grad_score)
print(grads[0][:10], grad_score[:10])
# Test 2
def generate_rand_graph(n):
arr = (sp.sparse.random(n, n, density=0.1, format='coo') != 0).astype(
np.int64)
return dgl.DGLGraph(arr, readonly=True)
g = generate_rand_graph(50).to(F.ctx())
a1 = F.randn((g.number_of_edges(), 1))
a2 = tf.identity(a1)
with tf.GradientTape() as tape:
tape.watch(a1)
g.edata['s'] = a1
g.group_apply_edges(
'dst', lambda edges: {'ss': F.softmax(edges.data['s'], 1)})
loss = tf.reduce_sum(g.edata['ss'])
a1_grad = tape.gradient(loss, [a1])[0]
with tf.GradientTape() as tape:
tape.watch(a2)
builtin_sm = nn.edge_softmax(g, a2)
loss = tf.reduce_sum(builtin_sm)
a2_grad = tape.gradient(loss, [a2])[0]
print(a1_grad - a2_grad)
assert len(g.ndata) == 0
assert len(g.edata) == 2
assert F.allclose(a1_grad, a2_grad, rtol=1e-4,
atol=1e-4) # Follow tolerance in unittest backend