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引言

还是基于Sentence-BERT架构，或者说Bi-Encoder架构，但是本文使用的是苏神提出的CoSENT损失函数¹。

点击来都是缘分，之前过时的方法可以不细看，别的文章可以不收藏，现在是最流行的方法，这篇文章建议收藏！

架构

正如苏神所说的，参考了Circle Loss²理论，这里尝试详细展开一下。

绝大多数损失函数，都在拉近相似的句子对，推远不相似的句子对，即最大化类内相似性($s_p$)同时最小化类间相似性($s_n$)。综合起来，实际上在减少$s_n-s_p$，增加$s_p$等同于减少$s_n$。

这里我们还是用余弦相似度来衡量这个相似性，记${\Omega }_{pos}$为所有正样本对(标签为1的样本对)集合，${\Omega }_{neg}$为所有负样本对(标签为0的样本对)的集合，所以我们希望任意的第$i$个正样本对$i\in {\Omega }_{pos}$和任意的第$j$个负样本对$j\in {\Omega }_{neg}$都有：
$$\cos (u_i,v_i)>\cos (u_j,v_j)\text{\hspace{1em}(1)}$$
其中$u,v$​都是句向量。这里我们只希望正样本对的相似性要大于负样本对的相似性，具体大多少由模型自己决定，即这里只是判断一个相对顺序而不是具体的值。

这里我们希望减少下式：
$$\cos (u_j,v_j)-\cos (u_i,v_i)\text{\hspace{1em}(2)}$$
记住这种表达形式。我们再来看交叉熵损失。

上图是Softmax CrossEntropy Loss的图示，它应用于单标签分类中，$s$是logits。

我们来回顾下这个损失函数的公式(假设$y_i=1y_j=0\forall j\ne i$)：
$$\begin{array}{rl}\mathcal{L}& =-y_i\log p_i\\ & =-\log \left(\frac{e^{s_i}}{{\sum }_j{e}^{s_j}}\right)\\ & =-\log \left(\frac{e^{s_i}\cdot e^{-s_i}}{e^{-s_i}\cdot {\sum }_j{e}^{s_j}}\right)\\ & =-\log \left(\frac{1}{{\sum }_j{e}^{s_j-s_i}}\right)\\ & =\log \left(\sum _j{e}^{s_j-s_i}\right)\\ & =\log \left(1+\sum _{j,j\ne i}{e}^{s_j-s_i}\right)\end{array}\text{\hspace{1em}(3)}$$
最后一步将$e^{s_i-s_i}$拿到求和符号外面来了，表达了希望减小$s_j-s_i$的意思。

用于多分类任务时，假设有很多个类别，但只有一个类别取值为1，其他取值为0。多分类任务时这里的$s$为logits。注意我们这里希望$s_i$越大越好，要比其他的$s_j$要大。

同时，假如我们用$s$表示一个句子对之间的相似度，即$s=\cos (u,v)$。

结合式子(2)我们可以得到一个损失：
$$\log \left(1+\sum _{i\in {\Omega }_{pos},j\in {\Omega }_{neg}}{e}^{s_j-s_i}\right)=\log \left(1+\sum _{i\in {\Omega }_{pos},j\in {\Omega }_{neg}}{e}^{\cos (u_j,v_j)-\cos (u_i,v_i)}\right)\text{\hspace{1em}(4)}$$
然后类似Circle Loss，增加一个超参数$\lambda >0$，就得到了最终的CoSENT Loss表达式：
$$\log \left(1+\sum _{i\in {\Omega }_{pos},j\in {\Omega }_{neg}}{e}^{\lambda (\cos (u_j,v_j)-\cos (u_i,v_i))}\right)\text{\hspace{1em}(5)}$$
这里$\lambda$默认等于$20$，相当于除以温度系数$0.05$。

理论部分完毕，现在来看实现。

实现

实现采用类似Huggingface的形式，每个文件夹下面有一种模型。分为modeling、arguments、trainer等不同的文件。不同的架构放置在不同的文件夹内。

modeling.py:

from dataclasses import dataclassimport torch
from torch import Tensor, nnfrom transformers.file_utils import ModelOutputfrom transformers import (AutoModel,AutoTokenizer,
)import numpy as np
from tqdm.autonotebook import trange
from typing import Optionalimport torch.nn.functional as F@dataclass
class BiOutput(ModelOutput):loss: Optional[Tensor] = Nonescores: Optional[Tensor] = Noneclass SentenceBert(nn.Module):def __init__(self,model_name: str,trust_remote_code: bool = True,max_length: int = None,scale: float = 20.0,pooling_mode: str = "mean",normalize_embeddings: bool = False,) -> None:super().__init__()self.model_name = model_nameself.normalize_embeddings = normalize_embeddingsself.device = "cuda" if torch.cuda.is_available() else "cpu"self.tokenizer = AutoTokenizer.from_pretrained(model_name, trust_remote_code=trust_remote_code)self.model = AutoModel.from_pretrained(model_name, trust_remote_code=trust_remote_code).to(self.device)self.max_length = max_lengthself.pooling_mode = pooling_modeself.scale = scaledef sentence_embedding(self, last_hidden_state, attention_mask):if self.pooling_mode == "mean":attention_mask = attention_mask.unsqueeze(-1).float()return torch.sum(last_hidden_state * attention_mask, dim=1) / torch.clamp(attention_mask.sum(1), min=1e-9)else:# clsreturn last_hidden_state[:, 0]def encode(self,sentences: str | list[str],batch_size: int = 64,convert_to_tensor: bool = True,show_progress_bar: bool = False,):if isinstance(sentences, str):sentences = [sentences]all_embeddings = []for start_index in trange(0, len(sentences), batch_size, desc="Batches", disable=not show_progress_bar):batch = sentences[start_index : start_index + batch_size]features = self.tokenizer(batch,padding=True,truncation=True,return_tensors="pt",return_attention_mask=True,max_length=self.max_length,).to(self.device)out_features = self.model(**features, return_dict=True)embeddings = self.sentence_embedding(out_features.last_hidden_state, features["attention_mask"])if not self.training:embeddings = embeddings.detach()if self.normalize_embeddings:embeddings = torch.nn.functional.normalize(embeddings, p=2, dim=1)if not convert_to_tensor:embeddings = embeddings.cpu()all_embeddings.extend(embeddings)if convert_to_tensor:all_embeddings = torch.stack(all_embeddings)else:all_embeddings = np.asarray([emb.numpy() for emb in all_embeddings])return all_embeddingsdef compute_loss(self, scores, labels):"""Args:scores : (batch_size)labels : (labels)"""labels = torch.tensor(labels).to(self.device)scores = scores * self.scale# (batch_size, 1) - (1, batch_size)# scores (batch_size, batch_size)scores = scores[:, None] - scores[None, :]# labels (batch_size, batch_size)labels = labels[:, None] < labels[None, :]labels = labels.float()# mask out irrelevant pairs so they are negligible after exp()scores = scores - (1 - labels) * 1e12# append a zero as e^0 = 1scores = torch.cat((torch.zeros(1).to(self.device), scores.view(-1)), dim=0)loss = torch.logsumexp(scores, dim=0)return lossdef forward(self, source, target, labels) -> BiOutput:"""Args:source :target :"""# source_embed (batch_size, embed_dim)source_embed = self.encode(source)# target_embed (batch_size, embed_dim)target_embed = self.encode(target)# scores (batch_size)scores = F.cosine_similarity(source_embed, target_embed)loss = self.compute_loss(scores, labels)return BiOutput(loss, scores)def save_pretrained(self, output_dir: str):state_dict = self.model.state_dict()state_dict = type(state_dict)({k: v.clone().cpu().contiguous() for k, v in state_dict.items()})self.model.save_pretrained(output_dir, state_dict=state_dict)

整个模型的实现放到modeling.py文件中。

def compute_loss(self, scores, labels):"""Args:scores : (batch_size)labels : (labels)"""labels = torch.tensor(labels).to(self.device)scores = scores * self.scale# (batch_size, 1) - (1, batch_size)# scores (batch_size, batch_size)scores = scores[:, None] - scores[None, :]# labels (batch_size, batch_size)labels = labels[:, None] < labels[None, :]labels = labels.float()# mask out irrelevant pairs so they are negligible after exp()scores = scores - (1 - labels) * 1e12# append a zero as e^0 = 1scores = torch.cat((torch.zeros(1).to(self.device), scores.view(-1)), dim=0)loss = torch.logsumexp(scores, dim=0)return loss

由于compute_loss这部分还有点复杂，这里也展开分析一下。首先我们回顾一下公式(5)：
$$\log \left(1+\sum _{i\in {\Omega }_{pos},j\in {\Omega }_{neg}}{e}^{\lambda (\cos (u_j,v_j)-\cos (u_i,v_i))}\right)=\log \left(e^0+\sum _{i\in {\Omega }_{pos},j\in {\Omega }_{neg}}{e}^{\lambda (\cos (u_j,v_j)-\cos (u_i,v_i))}\right)$$
以一个例子来分析这个函数：

import torch
from torch import Tensor
import torch.nn.functional as F
from transformers import set_seedset_seed(0)batch_size = 6
embedding_dim = 64
# 随机初始化
source, target = torch.randn((batch_size, embedding_dim)), torch.randn((batch_size, embedding_dim))
# 定义标签， 1表示相似， 0表示不相似
labels = torch.tensor([0, 1, 1, 0, 1, 0])

这里假设批次内有6对样本，设置了每对样本的标签。

scores = F.cosine_similarity(source, target)
print(scores)

tensor([-0.0816, -0.1727, -0.2052,  0.0240,  0.2252,  0.0084])

计算对内的余弦相似度得分。

scores = scores * 20
scores

tensor([-1.6312, -3.4543, -4.1032,  0.4800,  4.5039,  0.1671])

乘上缩放因子$\lambda$。

# (batch_size, 1) - (1, batch_size)
# scores (batch_size, batch_size)
# 负例减正例的差值
scores = scores[:, None] - scores[None, :]
scores

tensor([[ 0.0000,  1.8231,  2.4720, -2.1113, -6.1351, -1.7984],[-1.8231,  0.0000,  0.6489, -3.9343, -7.9582, -3.6214],[-2.4720, -0.6489,  0.0000, -4.5832, -8.6071, -4.2703],[ 2.1113,  3.9343,  4.5832,  0.0000, -4.0238,  0.3129],[ 6.1351,  7.9582,  8.6071,  4.0238,  0.0000,  4.3367],[ 1.7984,  3.6214,  4.2703, -0.3129, -4.3367,  0.0000]])

scores[:, None]结果是一个(batch_size, 1)的张量，经过广播(按列广播)会变成(batch_size, batch_size)：

tensor([[-1.6312, -1.6312, -1.6312, -1.6312, -1.6312, -1.6312],[-3.4543, -3.4543, -3.4543, -3.4543, -3.4543, -3.4543],[-4.1032, -4.1032, -4.1032, -4.1032, -4.1032, -4.1032],[ 0.4800,  0.4800,  0.4800,  0.4800,  0.4800,  0.4800],[ 4.5039,  4.5039,  4.5039,  4.5039,  4.5039,  4.5039],[ 0.1671,  0.1671,  0.1671,  0.1671,  0.1671,  0.1671]])

scores[None, :]结果是一个(1, batch_size)的张量，经过广播(按行广播)会变成(batch_size, batch_size)：

tensor([[ 0.0000,  1.8231,  2.4720, -2.1113, -6.1351, -1.7984],[-1.8231,  0.0000,  0.6489, -3.9343, -7.9582, -3.6214],[-2.4720, -0.6489,  0.0000, -4.5832, -8.6071, -4.2703],[ 2.1113,  3.9343,  4.5832,  0.0000, -4.0238,  0.3129],[ 6.1351,  7.9582,  8.6071,  4.0238,  0.0000,  4.3367],[ 1.7984,  3.6214,  4.2703, -0.3129, -4.3367,  0.0000]])

第一个减去第二个刚好也得：

tensor([[ 0.0000,  1.8231,  2.4720, -2.1113, -6.1351, -1.7984],[-1.8231,  0.0000,  0.6489, -3.9343, -7.9582, -3.6214],[-2.4720, -0.6489,  0.0000, -4.5832, -8.6071, -4.2703],[ 2.1113,  3.9343,  4.5832,  0.0000, -4.0238,  0.3129],[ 6.1351,  7.9582,  8.6071,  4.0238,  0.0000,  4.3367],[ 1.7984,  3.6214,  4.2703, -0.3129, -4.3367,  0.0000]])

实际上是计算原scores列表第j个元素(语句对的相似度)减去第i个元素(语句对的相似度)的差值，对应上面矩阵的[j,i]处，即$\cos (u_j,v_j)-\cos (u_i,v_i)$。

我们可以画图感受一下：

import numpy as np
import seaborn as sns
import matplotlib.pyplot as pltscores_np = scores.numpy()# 使用 seaborn 绘制热力图
plt.figure(figsize=(8, 6))
sns.heatmap(scores_np, annot=True, cmap='coolwarm', fmt='.2f', linecolor='white', linewidth=0.1)
plt.title('Scores Matrix')
plt.show()

下面我们关心的是$j\in {\Omega }_{neg}\wedge i\in {\Omega }_{pos}$的情形。

scores.shape

torch.Size([6, 6])

先确认下形状为(batch_size, batch_size)。

labels = labels[:, None] < labels[None, :]
labels = labels.float()
# labels[j][i] 表示是否第j个语句对的标签 是否 小于 第 i 个 
labels

#   j   0    1   2   3   4   5     i  
tensor([[0., 1., 1., 0., 1., 0.],# 0  [0., 0., 0., 0., 0., 0.],# 1 [0., 0., 0., 0., 0., 0.],# 2[0., 1., 1., 0., 1., 0.],# 3[0., 0., 0., 0., 0., 0.],# 4[0., 1., 1., 0., 1., 0.]])#5

第j个语句对的标签小于 第 i 个满足我们的要求： $j\in {\Omega }_{neg}\wedge i\in {\Omega }_{pos}$，也就是说下面矩阵取值为$1$的元素是我们关心的。

我们也画出这个labels矩阵。

scores = scores - (1 - labels) * 1e12

把新矩阵labels=0处的元素减去一个负的比较大的数，负的大的数计算指数后变成0，即我们不关心labels取$0$对应的元素。只关心$j\in {\Omega }_{neg}\wedge i\in {\Omega }_{pos}$的。

现在scores都是我们关心的值，然后还缺一个$e^0$：

scores = torch.cat((torch.zeros(1).to(self.device), scores.view(-1)), dim=0)

$$\log \left(e^0+\sum _{i\in {\Omega }_{pos},j\in {\Omega }_{neg}}{e}^{\lambda (\cos (u_j,v_j)-\cos (u_i,v_i))}\right)$$

如上公式所示。

最后加一个logsumexp：

loss = torch.logsumexp(scores, dim=0)

得到最终的损失。

完毕。

arguments.py:

from dataclasses import dataclass, field
from typing import Optionalimport os@dataclass
class ModelArguments:model_name_or_path: str = field(metadata={"help": "Path to pretrained model"})config_name: Optional[str] = field(default=None,metadata={"help": "Pretrained config name or path if not the same as model_name"},)tokenizer_name: Optional[str] = field(default=None,metadata={"help": "Pretrained tokenizer name or path if not the same as model_name"},)@dataclass
class DataArguments:train_data_path: str = field(default=None, metadata={"help": "Path to train corpus"})eval_data_path: str = field(default=None, metadata={"help": "Path to eval corpus"})max_length: int = field(default=512,metadata={"help": "The maximum total input sequence length after tokenization for input text."},)def __post_init__(self):if not os.path.exists(self.train_data_path):raise FileNotFoundError(f"cannot find file: {self.train_data_path}, please set a true path")if not os.path.exists(self.eval_data_path):raise FileNotFoundError(f"cannot find file: {self.eval_data_path}, please set a true path")

定义了模型和数据相关参数。

dataset.py:

from torch.utils.data import Dataset
from datasets import Dataset as dt
import pandas as pdfrom utils import build_dataframe_from_csvclass PairDataset(Dataset):def __init__(self, data_path: str) -> None:df = build_dataframe_from_csv(data_path)self.dataset = dt.from_pandas(df, split="train")self.total_len = len(self.dataset)def __len__(self):return self.total_lendef __getitem__(self, index) -> dict[str, str]:query1 = self.dataset[index]["query1"]query2 = self.dataset[index]["query2"]label = self.dataset[index]["label"]return {"query1": query1, "query2": query2, "label": label}class PairCollator:def __call__(self, features) -> dict[str, list[str]]:queries1 = []queries2 = []labels = []for feature in features:queries1.append(feature["query1"])queries2.append(feature["query2"])labels.append(feature["label"])return {"source": queries1, "target": queries2, "labels": labels}

数据集类考虑了LCQMC数据集的格式，即成对的语句和一个数值标签。类似：

Hello.	Hi.	1
Nice to see you.	Nice	0

trainer.py:

import torch
from transformers.trainer import Trainerfrom typing import Optional
import os
import loggingfrom modeling import SentenceBertTRAINING_ARGS_NAME = "training_args.bin"
logger = logging.getLogger(__name__)class BiTrainer(Trainer):def compute_loss(self, model: SentenceBert, inputs, return_outputs=False):outputs = model(**inputs)loss = outputs.lossreturn (loss, outputs) if return_outputs else lossdef _save(self, output_dir: Optional[str] = None, state_dict=None):# If we are executing this function, we are the process zero, so we don't check for that.output_dir = output_dir if output_dir is not None else self.args.output_diros.makedirs(output_dir, exist_ok=True)logger.info(f"Saving model checkpoint to {output_dir}")self.model.save_pretrained(output_dir)if self.tokenizer is not None:self.tokenizer.save_pretrained(output_dir)# Good practice: save your training arguments together with the trained modeltorch.save(self.args, os.path.join(output_dir, TRAINING_ARGS_NAME))

继承🤗 Transformers的Trainer类，重写了compute_loss和_save方法。

这样我们就可以利用🤗 Transformers来训练我们的模型了。

utils.py:

import torch
import pandas as pd
from scipy.stats import pearsonr, spearmanr
from typing import Tupledef build_dataframe_from_csv(dataset_csv: str) -> pd.DataFrame:df = pd.read_csv(dataset_csv,sep="\t",header=None,names=["query1", "query2", "label"],)return dfdef compute_spearmanr(x, y):return spearmanr(x, y).correlationdef compute_pearsonr(x, y):return pearsonr(x, y)[0]def find_best_acc_and_threshold(scores, labels, high_score_more_similar: bool):"""Copied from https://github.com/UKPLab/sentence-transformers/tree/master"""assert len(scores) == len(labels)rows = list(zip(scores, labels))rows = sorted(rows, key=lambda x: x[0], reverse=high_score_more_similar)print(rows)max_acc = 0best_threshold = -1# positive examples number so farpositive_so_far = 0# remain negative examplesremaining_negatives = sum(labels == 0)for i in range(len(rows) - 1):score, label = rows[i]if label == 1:positive_so_far += 1else:remaining_negatives -= 1acc = (positive_so_far + remaining_negatives) / len(labels)if acc > max_acc:max_acc = accbest_threshold = (rows[i][0] + rows[i + 1][0]) / 2return max_acc, best_thresholddef metrics(y: torch.Tensor, y_pred: torch.Tensor) -> Tuple[float, float, float, float]:TP = ((y_pred == 1) & (y == 1)).sum().float()  # True PositiveTN = ((y_pred == 0) & (y == 0)).sum().float()  # True NegativeFN = ((y_pred == 0) & (y == 1)).sum().float()  # False NegatvieFP = ((y_pred == 1) & (y == 0)).sum().float()  # False Positivep = TP / (TP + FP).clamp(min=1e-8)  # Precisionr = TP / (TP + FN).clamp(min=1e-8)  # RecallF1 = 2 * r * p / (r + p).clamp(min=1e-8)  # F1 scoreacc = (TP + TN) / (TP + TN + FP + FN).clamp(min=1e-8)  # Accuraryreturn acc, p, r, F1def compute_metrics(predicts, labels):return metrics(labels, predicts)

定义了一些帮助函数，从sentence-transformers库中拷贝了寻找最佳准确率阈值的实现find_best_acc_and_threshold。

除了准确率，还计算了句嵌入的余弦相似度与真实标签之间的斯皮尔曼等级相关系数指标。

最后定义训练和测试脚本。

train.py:

from transformers import set_seed, HfArgumentParser, TrainingArgumentsimport logging
from pathlib import Pathfrom datetime import datetimefrom modeling import SentenceBert
from trainer import BiTrainer
from arguments import DataArguments, ModelArguments
from dataset import PairCollator, PairDatasetlogger = logging.getLogger(__name__)
logging.basicConfig(format="%(asctime)s - %(levelname)s - %(name)s - %(message)s",datefmt="%m/%d/%Y %H:%M:%S",level=logging.INFO,
)def main():parser = HfArgumentParser((TrainingArguments, DataArguments, ModelArguments))training_args, data_args, model_args = parser.parse_args_into_dataclasses()# 根据当前时间生成输出目录output_dir = f"{training_args.output_dir}/{model_args.model_name_or_path.replace('/', '-')}-{datetime.now().strftime('%Y-%m-%d_%H-%M-%S')}"training_args.output_dir = output_dirlogger.info(f"Training parameters {training_args}")logger.info(f"Data parameters {data_args}")logger.info(f"Model parameters {model_args}")# 设置随机种子set_seed(training_args.seed)# 加载预训练模型model = SentenceBert(model_args.model_name_or_path,trust_remote_code=True,max_length=data_args.max_length,)tokenizer = model.tokenizer# 构建训练和测试集train_dataset = PairDataset(data_args.train_data_path)eval_dataset = PairDataset(data_args.eval_data_path)# 传入参数trainer = BiTrainer(model=model,args=training_args,train_dataset=train_dataset,eval_dataset=eval_dataset,data_collator=PairCollator(),tokenizer=tokenizer,)Path(training_args.output_dir).mkdir(parents=True, exist_ok=True)# 开始训练trainer.train()trainer.save_model()if __name__ == "__main__":main()

训练

基于train.py定义了train.sh传入相关参数：

timestamp=$(date +%Y%m%d%H%M)
logfile="train_${timestamp}.log"# change CUDA_VISIBLE_DEVICES
CUDA_VISIBLE_DEVICES=3 nohup python train.py \--model_name_or_path=hfl/chinese-macbert-large \--output_dir=output \--train_data_path=data/train.txt \--eval_data_path=data/dev.txt \--num_train_epochs=3 \--save_total_limit=5 \--learning_rate=2e-5 \--weight_decay=0.01 \--warmup_ratio=0.01 \--bf16=True \--eval_strategy=epoch \--save_strategy=epoch \--per_device_train_batch_size=64 \--report_to="none" \--remove_unused_columns=False \--max_length=128 \> "$logfile" 2>&1 &

以上参数根据个人环境修改，这里使用的是哈工大的chinese-macbert-large预训练模型。

注意：

• --remove_unused_columns是必须的。
• 通过bf16=True可以加速训练同时不影响效果。
• 其他参数可以自己调整。

100%|██████████| 11193/11193 [46:54<00:00,  4.35it/s]
100%|██████████| 11193/11193 [46:54<00:00,  3.98it/s]
09/05/2024 17:35:20 - INFO - trainer - Saving model checkpoint to output/hfl-chinese-macbert-large-2024-09-05_18-48-21
{'eval_loss': 0.9763002395629883, 'eval_runtime': 56.9409, 'eval_samples_per_second': 154.581, 'eval_steps_per_second': 19.336, 'epoch': 3.0}
{'train_runtime': 2814.5056, 'train_samples_per_second': 254.502, 'train_steps_per_second': 3.977, 'train_loss': 4.296681343023402, 'epoch': 3.0}

这里仅训练了3轮，我们拿最后保存的模型output/hfl-chinese-macbert-large-2024-09-05_18-48-21进行测试。

测试

test.py: 测试脚本见后文的完整代码。

test.sh:

# change CUDA_VISIBLE_DEVICES
CUDA_VISIBLE_DEVICES=0 python test.py \--model_name_or_path=output/hfl-chinese-macbert-large-2024-09-05_18-48-21 \--test_data_path=data/test.txt

输出：

TestArguments(model_name_or_path='output/hfl-chinese-macbert-large-2024-09-05_18-48-21/checkpoint-11193', test_data_path='data/test.txt', max_length=64, batch_size=128)
Batches: 100%|█████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 98/98 [00:11<00:00,  8.78it/s]
Batches: 100%|█████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 98/98 [00:11<00:00,  8.86it/s]
max_acc: 0.8940, best_threshold: 0.839080
spearman corr: 0.7989 |  pearson_corr corr: 0.7703 | compute time: 22.26s
accuracy=0.894 precision=0.911 recal=0.874 f1 score=0.8918

测试集上的准确率达到89.4%，spearman系数达到了目前本系列文章的SOTA结果。

该方法计算出来的分类阈值0.839080看起来也比之前的更合理。

完整代码

完整代码： →点此←

参考

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1. CoSENT（一）：比Sentence-BERT更有效的句向量方案 ↩︎

2. [论文笔记]Circle Loss: A Unified Perspective of Pair Similarity Optimization ↩︎