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646 | from utils import utils
from utils import vis as V
from utils.CrossingDetector import CrossingDetector
import criteria as C
import quality as Q
import time
import itertools
import numpy as np
import torch
from torch import nn, optim
from torch.utils.data import DataLoader
import pickle as pkl
def is_interactive():
import __main__ as main
return not hasattr(main, '__file__')
if is_interactive():
from tqdm.notebook import tqdm
from IPython import display
else:
from tqdm import tqdm
display = None
##TODO custom lr_scheduler, linear slowdown on plateau
class GD2:
def __init__(self, G, device='cpu'):
self.G = G
self.D, self.adj_sparse, self.k2i = utils.shortest_path(G)
self.adj = torch.from_numpy((self.adj_sparse+self.adj_sparse.T).toarray())
self.D = torch.from_numpy(self.D)
self.i2k = {i:k for k,i in self.k2i.items()}
self.W = 1/(self.D**2+1e-6)
# self.W = 1/(self.D**1.3+1e-6)
# self.W = 1/(self.D**0.5+1e-6)
self.degrees = np.array([self.G.degree(self.i2k[i]) for i in range(len(self.G))])
self.maxDegree = max(dict(self.G.degree).values())
self.edge_indices = [(self.k2i[e0], self.k2i[e1]) for e0,e1 in self.G.edges]
self.node_indices = range(len(self.G))
self.node_index_pairs = np.c_[
np.repeat(self.node_indices, len(self.G)),
np.tile(self.node_indices, len(self.G))
]
self.node_index_pairs = self.node_index_pairs[self.node_index_pairs[:,0]<self.node_index_pairs[:,1]]
self.node_edge_pairs = list(itertools.product(self.node_indices, self.edge_indices))
incident_edge_groups = [
[(G.degree(k), self.k2i[k], self.k2i[n])
for n in G.neighbors(k)]
for k in G.nodes
]
incident_edge_pairs = [
[
(i[0],)+i[1:]+j[1:]
for i,j in itertools.product(ieg, ieg)
if i<j
]
for ieg in incident_edge_groups
]
self.incident_edge_pairs = sum(incident_edge_pairs, [])
## init
# self.pos = torch.randn(len(self.G.nodes), 2, device=device).requires_grad_(True)
# self.pos = (0.5*len(self.G.nodes)**0.5) * torch.randn(len(self.G.nodes), 2, device=device)
self.pos = (len(self.G.nodes)**0.5) * torch.randn(len(self.G.nodes), 2, device=device)
self.pos = self.pos.requires_grad_(True)
# self.pos = torch.randn(len(self.G.nodes), 2, device=device)
# self.pos[:,0] *= 20
# self.pos.requires_grad_(True)
self.qualities_by_time = []
self.i = 0
self.runtime = 0
self.last_time_eval = 0 ## last time that evaluates the quality
self.last_time_vis = 0
self.iters = []
self.loss_curve = []
self.sample_sizes = {}
self.crossing_detector = CrossingDetector()
self.crossing_detector_loss_fn = nn.BCELoss()
self.crossing_pos_loss_fn = nn.BCELoss(reduction='sum')
# self.crossing_detector_optimizer = optim.SGD(self.crossing_detector.parameters(), lr=0.1)
self.crossing_detector_optimizer = optim.Adam(self.crossing_detector.parameters(), lr=0.01)
## filter out incident edge pairs
self.non_incident_edge_pairs = [
[self.k2i[e1[0]], self.k2i[e1[1]], self.k2i[e2[0]], self.k2i[e2[1]]]
for e1,e2 in itertools.product(G.edges, G.edges)
if e1<e2 and len(set(e1+e2))==4
]
self.device='cpu'
def grad_clamp(self, l, c, weight, optimizer, ref=1):
optimizer.zero_grad()
l.backward(retain_graph=True)
grad = self.pos.grad.clone()
grad_norm = grad.norm(dim=1)
is_large = grad_norm > weight*ref
grad[is_large] = grad[is_large] / grad_norm[is_large].view(-1,1) * weight*ref
self.grads[c] = grad
def optimize(self,
criteria_weights={'stress':1.0},
sample_sizes={'stress':128},
evaluate=None,
evaluate_interval=None,
evaluate_interval_unit = 'iter',
max_iter=int(1e4),
time_limit=7200,
grad_clamp=4,
vis_interval=100,
vis_interval_unit = 'iter',
clear_output=False,
optimizer_kwargs=None,
scheduler_kwargs=None,
criteria_kwargs=None,
):
if criteria_kwargs is None:
criteria_kwargs = {c:dict() for c in criteria_weights}
self.sample_sizes = sample_sizes
## shortcut of object attributes
G = self.G
D, k2i = self.D, self.k2i
i2k = self.i2k
adj = self.adj
W = self.W
pos = self.pos
degrees = self.degrees
maxDegree = self.maxDegree
device = self.device
self.init_sampler(criteria_weights)
## measure runtime
t0 = time.time()
## def optimizer
if optimizer_kwargs.get('mode', 'SGD') == 'SGD':
optimizer_kwargs_default = dict(
lr=1,
momentum=0.7,
nesterov=True
)
Optimizer = optim.SGD
elif optimizer_kwargs.get('mode', 'SGD') == 'Adam':
optimizer_kwargs_default = dict(lr=0.0001)
Optimizer = optim.Adam
for k,v in optimizer_kwargs.items():
if k!='mode':
optimizer_kwargs_default[k] = v
optimizer = Optimizer([pos], **optimizer_kwargs_default)
# patience = np.ceil(np.log2(len(G)+1))*100
# if 'stress' in criteria_weights and sample_sizes['stress'] < 16:
# patience += 100 * 16/sample_sizes['stress']
patience = np.ceil(np.log2(len(G)+1)) * 300 * max(1, 16/min(sample_sizes.values()))
patience = 20000
scheduler_kwargs_default = dict(
factor=0.9,
patience=patience,
min_lr=1e-5,
verbose=True
)
if scheduler_kwargs is not None:
for k,v in scheduler_kwargs.items():
scheduler_kwargs_default[k] = v
scheduler_kwargs = scheduler_kwargs_default
scheduler = optim.lr_scheduler.ReduceLROnPlateau(optimizer, **scheduler_kwargs)
iterBar = tqdm(range(max_iter))
## smoothed loss curve during training
s = 0.5**(1/100) ## smoothing factor for loss curve, e.g. s=0.5**(1/100) is setting 'half-life' to 100 iterations
weighted_sum_of_loss, total_weight = 0, 0
vr_target_dist, vr_target_weight = 1, 0
## start training
for iter_index in iterBar:
t0 = time.time()
## optimization
loss = self.pos[0,0]*0 ## dummy loss
self.grads = {}
ref = 1
for c, weight in criteria_weights.items():
if callable(weight):
weight = weight(iter_index)
if weight == 0:
continue
if c == 'stress':
sample = self.sample(c)
l = weight * C.stress(
pos, D, W,
sample=sample, reduce='mean')
loss += l
# self.grad_clamp(l, c, weight, optimizer, ref)
elif c == 'ideal_edge_length':
sample = self.sample(c)
l = weight * C.ideal_edge_length(
pos, G, k2i, targetLengths=None,
sampleSize=sample_sizes[c],
reduce='mean',
)
loss += l
# self.grad_clamp(l, c, weight, optimizer, ref)
elif c == 'neighborhood_preservation':
sample = self.sample(c).tolist()
l = weight * C.neighborhood_preseration(
pos, G, adj,
k2i, i2k,
degrees, maxDegree,
sample=sample,
# n_roots=sample_sizes[c],
depth_limit=2
)
loss += l
# self.grad_clamp(l, c, weight, optimizer, ref)
elif c == 'crossings':
## neural crossing detector
sample = self.sample(c)
sample = torch.stack(sample, 1)
edge_pair_pos = self.pos[sample].view(-1,8)
labels = utils.are_edge_pairs_crossed(edge_pair_pos)
# edge_pair_pos = self.pos[sample].view(-1,8)
# labels = utils.are_edge_pairs_crossed(edge_pair_pos)
# if labels.sum() < 1:
# sample = torch.cat([sample, self.sample_crossings(c)], dim=0)
# edge_pair_pos = self.pos[sample].view(-1,8)
# labels = utils.are_edge_pairs_crossed(edge_pair_pos)
## train crossing detector
self.crossing_detector.train()
for _ in range(2):
preds = self.crossing_detector(edge_pair_pos.detach().to(device)).view(-1)
loss_nn = self.crossing_detector_loss_fn(
preds,
(
# labels.float()*0.7+0.15 + 0.10*(2*torch.rand(labels.shape)-1)
labels.float()
).to(device)
)
self.crossing_detector_optimizer.zero_grad()
loss_nn.backward()
self.crossing_detector_optimizer.step()
## loss of crossing
self.crossing_detector.eval()
preds = self.crossing_detector(edge_pair_pos.to(device)).view(-1)
l = weight * self.crossing_pos_loss_fn(preds, (labels.float()*0).to(device))
loss += l
# self.grad_clamp(l, c, weight, optimizer, ref)
elif c == 'crossing_angle_maximization':
sample = self.sample(c)
sample = torch.stack(sample, dim=-1)
pos_segs = pos[sample.flatten()].view(-1,4,2)
sample_labels = utils.are_edge_pairs_crossed(pos_segs.view(-1,8))
if sample_labels.sum() < 1:
sample = self.sample_crossings(c)
pos_segs = pos[sample.flatten()].view(-1,4,2)
sample_labels = utils.are_edge_pairs_crossed(pos_segs.view(-1,8))
l = weight * C.crossing_angle_maximization(
pos, G, k2i, i2k,
sample = sample,
sample_labels = sample_labels,
# sampleSize=sample_sizes[c],
# sampleOn='crossings') ## SLOW for large sample size
# sampleOn='edges'
)
loss += l
# self.grad_clamp(l, c, weight, optimizer, ref)
elif c == 'aspect_ratio':
sample = self.sample(c)
l = weight * C.aspect_ratio(
pos, sample=sample,
**criteria_kwargs.get(c)
# sampleSize=sample_sizes[c],
)
loss += l
# self.grad_clamp(l, c, weight, optimizer, ref)
elif c == 'angular_resolution':
# sample = [self.i2k[i.item()] for i in self.sample(c)]
sample = self.sample(c)
l = weight * C.angular_resolution(
pos, G, k2i,
sampleSize=sample_sizes[c],
sample=sample,
)
loss += l
# self.grad_clamp(l, c, weight, optimizer, ref)
elif c == 'vertex_resolution':
sample = self.sample(c)
l, vr_target_dist, vr_target_weight = C.vertex_resolution(
pos,
sample=sample,
target=1/len(G)**0.5,
prev_target_dist=vr_target_dist,
prev_weight=vr_target_weight
)
l = weight * l
loss += l
# self.grad_clamp(l, c, weight, optimizer, ref)
elif c == 'gabriel':
sample = self.sample(c)
l = weight * C.gabriel(
pos, G, k2i,
sample=sample,
# sampleSize=sample_sizes[c],
)
loss += l
# self.grad_clamp(l, c, weight, optimizer, ref)
else:
print(f'Criteria not supported: {c}')
# if len(self.grads) > 0:
# pos.grad = sum(g for c,g in self.grads.items())
# pos.grad.clamp_(-grad_clamp, grad_clamp)
# optimizer.step()
# ref = pos.grad.norm(dim=1).max()
optimizer.zero_grad()
loss.backward()
pos.grad.clamp_(-grad_clamp, grad_clamp)
optimizer.step()
self.runtime += time.time() - t0
if self.runtime > time_limit:
qualities = self.evaluate(qualities=evaluate)
self.qualities_by_time.append(dict(
time=self.runtime,
iter=self.i,
qualities=qualities
))
break
if (vis_interval is not None and vis_interval>0) and (
## option 1: if unit='iter'
(vis_interval_unit == 'iter' and (self.i%vis_interval == 0 or self.i == max_iter-1))
or
## option 2: if unit='sec'
(vis_interval_unit == 'sec' and (
self.runtime - self.last_time_vis>= vis_interval
))
):
# if vis_interval is not None and vis_interval>0 \
# and self.i%vis_interval==vis_interval-1:
pos_numpy = pos.detach().cpu().numpy()
pos_G = {k:pos_numpy[k2i[k]] for k in G.nodes}
if display is not None and clear_output:
display.clear_output(wait=True)
V.plot(
G, pos_G,
self.loss_curve,
self.i, self.runtime,
node_size=0,
edge_width=0.6,
show=True, save=False
)
self.last_time_vis = self.runtime
# if loss.isnan():
# raise Exception('loss is nan')
# break
if pos.isnan().any():
raise Exception('pos is nan')
break
if self.i % 100 == 99:
iterBar.set_postfix({'loss': loss.item(), })
## compute current loss as an expoexponential moving average for lr scheduling
## and loss curve visualization
weighted_sum_of_loss = weighted_sum_of_loss*s + loss.item()
total_weight = total_weight*s+1
if self.i % 10 == 0:
self.loss_curve.append(weighted_sum_of_loss/total_weight)
self.iters.append(self.i)
if scheduler is not None:
scheduler.step(self.loss_curve[-1])
lr = optimizer.param_groups[0]['lr']
if lr <= scheduler.min_lrs[0]:
break
## if eval in enabled
if (evaluate_interval is not None and evaluate_interval>0) and (
## option 1: if unit='iter'
(evaluate_interval_unit == 'iter' and (self.i%evaluate_interval == 0 or self.i == max_iter-1))
or
## option 2: if unit='sec'
(evaluate_interval_unit == 'sec' and (
self.runtime - self.last_time_eval >= evaluate_interval or self.i == max_iter-1
))
):
qualities = self.evaluate(qualities=evaluate)
self.qualities_by_time.append(dict(
time=self.runtime,
iter=self.i,
qualities=qualities
))
self.last_time_eval = self.runtime
self.i+=1
## attach pos to G.nodes
pos_numpy = pos.detach().numpy()
for k in G.nodes:
G.nodes[k]['pos'] = pos_numpy[k2i[k],:]
## prepare result
return self.get_result_dict(evaluate, sample_sizes)
def init_sampler(self, criteria_weights):
self.samplers = {}
self.dataloaders = {}
for c,w in criteria_weights.items():
if w == 0:
continue
if c == 'stress':
self.dataloaders[c] = DataLoader(
self.node_index_pairs,
batch_size=self.sample_sizes[c],
shuffle=True)
elif c == 'ideal_edge_length':
self.dataloaders[c] = DataLoader(
self.edge_indices,
batch_size=self.sample_sizes[c],
shuffle=True)
elif c == 'neighborhood_preservation':
self.dataloaders[c] = DataLoader(
range(len(self.G.nodes)),
batch_size=self.sample_sizes[c],
shuffle=True)
elif c == 'crossings':
self.dataloaders[c] = DataLoader(
self.non_incident_edge_pairs,
batch_size=self.sample_sizes[c],
shuffle=True)
elif c == 'crossing_angle_maximization':
self.dataloaders[c] = DataLoader(
self.non_incident_edge_pairs,
batch_size=self.sample_sizes[c],
shuffle=True)
elif c == 'aspect_ratio':
self.dataloaders[c] = DataLoader(
range(len(self.G.nodes)),
batch_size=self.sample_sizes[c],
shuffle=True
)
elif c == 'angular_resolution':
# self.dataloaders[c] = DataLoader(
# range(len(self.G.nodes)),
# batch_size=self.sample_sizes[c],
# shuffle=True)
self.dataloaders[c] = DataLoader(
self.incident_edge_pairs,
batch_size=self.sample_sizes[c],
shuffle=True)
elif c == 'vertex_resolution':
self.dataloaders[c] = DataLoader(
self.node_index_pairs,
batch_size=self.sample_sizes[c],
shuffle=True)
elif c == 'gabriel':
self.dataloaders[c] = DataLoader(
self.node_edge_pairs,
batch_size=self.sample_sizes[c],
shuffle=True
)
def sample_crossings(self, c='crossing_angle_maximization', mode='use_existing_crossings'):
if not hasattr(self, 'crossing_loaders'):
self.crossing_loaders = {}
if not hasattr(self, 'crossing_samplers'):
self.crossing_samplers = {}
if mode == 'new' or c not in self.crossing_loaders:
crossing_segs = utils.find_crossings(self.pos, list(self.G.edges), self.k2i)
self.crossing_loaders[c] = DataLoader(crossing_segs, batch_size=self.sample_sizes[c])
self.crossing_samplers[c] = iter(self.crossing_loaders[c])
# print(f'finding new crossings...{crossing_segs.shape}')
try:
sample = next(self.crossing_samplers[c])
except StopIteration:
sample = self.sample_crossings(c, mode='new')
return sample
def sample(self, criterion):
if criterion not in self.samplers:
self.samplers[criterion] = iter(self.dataloaders[criterion])
try:
sample = next(self.samplers[criterion])
except StopIteration:
self.samplers[criterion] = iter(self.dataloaders[criterion])
sample = next(self.samplers[criterion])
return sample
def get_result_dict(self, evaluate, sample_sizes):
return dict(
iter=self.i,
loss_curve=self.loss_curve,
runtime=self.runtime,
qualities_by_time=self.qualities_by_time,
qualities=self.qualities_by_time[-1]['qualities'],
sample_sizes=self.sample_sizes,
pos=self.pos,
)
def evaluate(
self,
pos=None,
qualities={'stress'},
verbose=False,
mode='original'
):
if pos is None:
pos = self.pos
qualityMeasures = dict()
if qualities == 'all':
qualities = {
'stress',
'ideal_edge_length',
'neighborhood_preservation',
'crossings',
'crossing_angle_maximization',
'aspect_ratio',
'angular_resolution',
'vertex_resolution',
'gabriel',
}
for q in qualities:
if verbose:
print(f'Evaluating {q}...', end='')
t0 = time.time()
if q == 'stress':
if mode == 'original':
qualityMeasures[q] = Q.stress(pos, self.D, self.W, None)
elif mode == 'best_scale':
s = utils.best_scale_stress(pos, self.D, self.W)
qualityMeasures[q] = Q.stress(pos*s, self.D, self.W, None)
elif q == 'ideal_edge_length':
if mode == 'original':
qualityMeasures[q] = Q.ideal_edge_length(pos, self.G, self.k2i)
elif mode == 'best_scale':
s = utils.best_scale_ideal_edge_length(pos, self.G, self.k2i)
qualityMeasures[q] = Q.ideal_edge_length(s*pos, self.G, self.k2i)
elif q == 'neighborhood_preservation':
qualityMeasures[q] = 1 - Q.neighborhood_preservation(
pos, self.G, self.adj, self.i2k)
elif q == 'crossings':
qualityMeasures[q] = Q.crossings(pos, self.edge_indices)
elif q == 'crossing_angle_maximization':
qualityMeasures[q] = Q.crossing_angle_maximization(
pos, self.G.edges, self.k2i)
elif q == 'aspect_ratio':
qualityMeasures[q] = 1 - Q.aspect_ratio(pos)
elif q == 'angular_resolution':
qualityMeasures[q] = 1- Q.angular_resolution(pos, self.G, self.k2i)
elif q == 'vertex_resolution':
qualityMeasures[q] = 1 - Q.vertex_resolution(pos, target=1/len(self.G)**0.5)
elif q == 'gabriel':
qualityMeasures[q] = 1 - Q.gabriel(pos, self.G, self.k2i)
if verbose:
print(f'done in {time.time()-t0:.2f}s')
return qualityMeasures
def save(self, fn='result.pkl'):
with open(fn, 'wb') as f:
pkl.dump(dict(
G=self.G,
pos=self.pos,
i2k=self.i2k,
k2i=self.k2i,
iter=self.i,
runtime=self.runtime,
loss_curve=self.loss_curve,
qualities_by_time = self.qualities_by_time,
), f)
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