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Original file line number | Diff line number | Diff line change |
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import random | ||
from typing import Optional | ||
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||
import torch | ||
import torch.nn.functional as F | ||
from torch import nn | ||
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||
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||
def pairwise_euclidean_distance(x, y): | ||
cost = ( | ||
torch.sum(x**2, axis=1, keepdim=True) | ||
+ torch.sum(y**2, dim=1) | ||
- 2 * torch.matmul(x, y.t()) | ||
) | ||
return cost | ||
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||
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class ETP(nn.Module): | ||
def __init__( | ||
self, | ||
sinkhorn_alpha, | ||
init_a_dist=None, | ||
init_b_dist=None, | ||
OT_max_iter=5000, | ||
stopThr=0.5e-2, | ||
): | ||
super().__init__() | ||
self.sinkhorn_alpha = sinkhorn_alpha | ||
self.OT_max_iter = OT_max_iter | ||
self.stopThr = stopThr | ||
self.epsilon = 1e-16 | ||
self.init_a_dist = init_a_dist | ||
self.init_b_dist = init_b_dist | ||
if init_a_dist is not None: | ||
self.a_dist = init_a_dist | ||
if init_b_dist is not None: | ||
self.b_dist = init_b_dist | ||
|
||
def forward(self, x, y): | ||
# Sinkhorn's algorithm | ||
M = pairwise_euclidean_distance(x, y) | ||
device = M.device | ||
if self.init_a_dist is None: | ||
a = (torch.ones(M.shape[0]) / M.shape[0]).unsqueeze(1).to(device) | ||
else: | ||
a = F.softmax(self.a_dist, dim=0).to(device) | ||
if self.init_b_dist is None: | ||
b = (torch.ones(M.shape[1]) / M.shape[1]).unsqueeze(1).to(device) | ||
else: | ||
b = F.softmax(self.b_dist, dim=0).to(device) | ||
u = (torch.ones_like(a) / a.size()[0]).to(device) # Kx1 | ||
K = torch.exp(-M * self.sinkhorn_alpha) | ||
err = 1 | ||
cpt = 0 | ||
while err > self.stopThr and cpt < self.OT_max_iter: | ||
v = torch.div(b, torch.matmul(K.t(), u) + self.epsilon) | ||
u = torch.div(a, torch.matmul(K, v) + self.epsilon) | ||
cpt += 1 | ||
if cpt % 50 == 1: | ||
bb = torch.mul(v, torch.matmul(K.t(), u)) | ||
err = torch.norm( | ||
torch.sum(torch.abs(bb - b), dim=0), p=float("inf") | ||
) | ||
transp = u * (K * v.T) | ||
loss_ETP = torch.sum(transp * M) | ||
return loss_ETP, transp | ||
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||
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class fastopic(nn.Module): | ||
def __init__( | ||
self, | ||
num_topics: int, | ||
theta_temp: float = 1.0, | ||
DT_alpha: float = 3.0, | ||
TW_alpha: float = 2.0, | ||
random_state: Optional[int] = None, | ||
): | ||
super().__init__() | ||
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self.num_topics = num_topics | ||
self.DT_alpha = DT_alpha | ||
self.TW_alpha = TW_alpha | ||
self.theta_temp = theta_temp | ||
self.seed = random_state or random.randint(0, 10_000) | ||
self.epsilon = 1e-12 | ||
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def init(self, vocab_size: int, embed_size: int): | ||
torch.manual_seed(self.seed) | ||
self.word_embeddings = nn.init.trunc_normal_( | ||
torch.empty(vocab_size, embed_size) | ||
) | ||
self.word_embeddings = nn.Parameter(F.normalize(self.word_embeddings)) | ||
self.topic_embeddings = torch.empty((self.num_topics, embed_size)) | ||
nn.init.trunc_normal_(self.topic_embeddings, std=0.1) | ||
self.topic_embeddings = nn.Parameter( | ||
F.normalize(self.topic_embeddings) | ||
) | ||
self.word_weights = nn.Parameter( | ||
(torch.ones(vocab_size) / vocab_size).unsqueeze(1) | ||
) | ||
self.topic_weights = nn.Parameter( | ||
(torch.ones(self.num_topics) / self.num_topics).unsqueeze(1) | ||
) | ||
self.DT_ETP = ETP(self.DT_alpha, init_b_dist=self.topic_weights) | ||
self.TW_ETP = ETP(self.TW_alpha, init_b_dist=self.word_weights) | ||
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def get_transp_DT( | ||
self, | ||
doc_embeddings, | ||
): | ||
torch.manual_seed(self.seed) | ||
topic_embeddings = self.topic_embeddings.detach().to( | ||
doc_embeddings.device | ||
) | ||
_, transp = self.DT_ETP(doc_embeddings, topic_embeddings) | ||
return transp.detach().cpu().numpy() | ||
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# only for testing | ||
def get_beta(self): | ||
torch.manual_seed(self.seed) | ||
_, transp_TW = self.TW_ETP(self.topic_embeddings, self.word_embeddings) | ||
# use transport plan as beta | ||
beta = transp_TW * transp_TW.shape[0] | ||
return beta | ||
|
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# only for testing | ||
def get_theta(self, doc_embeddings, train_doc_embeddings): | ||
torch.manual_seed(self.seed) | ||
topic_embeddings = self.topic_embeddings.detach().to( | ||
doc_embeddings.device | ||
) | ||
dist = pairwise_euclidean_distance(doc_embeddings, topic_embeddings) | ||
train_dist = pairwise_euclidean_distance( | ||
train_doc_embeddings, topic_embeddings | ||
) | ||
exp_dist = torch.exp(-dist / self.theta_temp) | ||
exp_train_dist = torch.exp(-train_dist / self.theta_temp) | ||
theta = exp_dist / (exp_train_dist.sum(0)) | ||
theta = theta / theta.sum(1, keepdim=True) | ||
return theta | ||
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def forward(self, train_bow, doc_embeddings): | ||
torch.manual_seed(self.seed) | ||
loss_DT, transp_DT = self.DT_ETP(doc_embeddings, self.topic_embeddings) | ||
loss_TW, transp_TW = self.TW_ETP( | ||
self.topic_embeddings, self.word_embeddings | ||
) | ||
loss_ETP = loss_DT + loss_TW | ||
theta = transp_DT * transp_DT.shape[0] | ||
beta = transp_TW * transp_TW.shape[0] | ||
# Dual Semantic-relation Reconstruction | ||
recon = torch.matmul(theta, beta) | ||
loss_DSR = ( | ||
-(train_bow * (recon + self.epsilon).log()).sum(axis=1).mean() | ||
) | ||
loss = loss_DSR + loss_ETP | ||
rst_dict = { | ||
"loss": loss, | ||
} | ||
return rst_dict |
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