On the Sentence Embeddings from Pre-trained Language Models
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Abstract (arXiv)
Pre-trained contextual representations like BERT have achieved great success in natural language processing. However, the sentence embeddings from the pre-trained language models without fine-tuning have been found to poorly capture semantic meaning of sentences. In this paper, we argue that the semantic information in the BERT embeddings is not fully exploited. We first reveal the theoretical connection between the masked language model pre-training objective and the semantic similarity task theoretically, and then analyze the BERT sentence embeddings empirically. We find that BERT always induces a non-smooth anisotropic semantic space of sentences, which harms its performance of semantic similarity. To address this issue, we propose to transform the anisotropic sentence embedding distribution to a smooth and isotropic Gaussian distribution through normalizing flows that are learned with an unsupervised objective. Experimental results show that our proposed BERT-flow method obtains significant performance gains over the state-of-the-art sentence embeddings on a variety of semantic textual similarity tasks. The code is available at https://github.com/bohanli/BERT-flow.
Key facts. Cited by 83 papers in the map (data through 7 Oct 2026). First posted on arXiv 2 Nov 2020.
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Citing papers per year: 2021: 22; 2022: 27; 2023: 18; 2024: 4; 2025: 6; 2026: 6.
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- 2021SimCSE: Simple Contrastive Learning of Sentence Embeddingscited by 2,168
- 2022Mind the Gap: Understanding the Modality Gap in Multi-modal Contrastive Representation Learningcited by 553
- 2021Whitening Sentence Representations for Better Semantics and Faster Retrievalcited by 198
- 2021Generating Datasets with Pretrained Language Modelscited by 192
- 2022DiffCSE: Difference-based Contrastive Learning for Sentence Embeddingscited by 131
- 2022Towards Universal Sequence Representation Learning for Recommender Systemscited by 120
- 2021TSDAE: Using Transformer-based Sequential Denoising Auto-Encoder for Unsupervised Sentence Embedding Learningcited by 116
- 2022PromptBERT: Improving BERT Sentence Embeddings with Promptscited by 75
- 2021ESimCSE: Enhanced Sample Building Method for Contrastive Learning of Unsupervised Sentence Embeddingcited by 73
- 2021How to Learn when Data Reacts to Your Model: Performative Gradient Descentcited by 70
- 2021SynCoBERT: Syntax-Guided Multi-Modal Contrastive Pre-Training for Code Representationcited by 63
- 2022Problems with Cosine as a Measure of Embedding Similarity for High Frequency Wordscited by 49
38 more
- 2022Topic Discovery via Latent Space Clustering of Pretrained Language Model Representationscited by 34
- 2024Towards a Holistic Framework for Multimodal Large Language Models in Three-dimensional Brain CT Report Generationcited by 30
- 2021Learning Kernel-Smoothed Machine Translation with Retrieved Examplescited by 25
- 2021Local Calibration: Metrics and Recalibrationcited by 23
- 2023For Pre-Trained Vision Models in Motor Control, Not All Policy Learning Methods are Created Equalcited by 22
- 2022Just Rank: Rethinking Evaluation with Word and Sentence Similaritiescited by 20
- 2021Sentence Bottleneck Autoencoders from Transformer Language Modelscited by 19
- 2021DialogueCSE: Dialogue-based Contrastive Learning of Sentence Embeddingscited by 19
- 2022E2S2: Encoding-Enhanced Sequence-to-Sequence Pretraining for Language Understanding and Generationcited by 19
- 2022Improving Contrastive Learning of Sentence Embeddings with Case-Augmented Positives and Retrieved Negativescited by 16
- 2021Reinforcement Learning-powered Semantic Communication via Semantic Similaritycited by 15
- 2022Sentence-level Privacy for Document Embeddingscited by 15
- 2021Smoothed Contrastive Learning for Unsupervised Sentence Embeddingcited by 14
- 2021Sentence Similarity Based on Contextscited by 12
- 2022Sentence Representation Learning with Generative Objective rather than Contrastive Objectivecited by 12
- 2022Embracing Ambiguity: Improving Similarity-oriented Tasks with Contextual Synonym Knowledgecited by 11
- 2023Bag of Tricks for Effective Language Model Pretraining and Downstream Adaptation: A Case Study on GLUEcited by 11
- 2021Structure Inducing Pre-Trainingcited by 10
- 2022L3Cube-MahaSBERT and HindSBERT: Sentence BERT Models and Benchmarking BERT Sentence Representations for Hindi and Marathicited by 10
- 2023Text Matching Improves Sequential Recommendation by Reducing Popularity Biasescited by 10
- 2025LExT: Towards Evaluating Trustworthiness of Natural Language Explanationscited by 9
- 2022Transparency Helps Reveal When Language Models Learn Meaningcited by 8
- 2023CTRLStruct: Dialogue Structure Learning for Open-Domain Response Generationcited by 8
- 2023Distilling Semantic Concept Embeddings from Contrastively Fine-Tuned Language Modelscited by 8
- 2021ASR Adaptation for E-commerce Chatbots using Cross-Utterance Context and Multi-Task Language Modelingcited by 7
- 2021Aligning Cross-lingual Sentence Representations with Dual Momentum Contrastcited by 7
- 2021The Curious Layperson: Fine-Grained Image Recognition without Expert Labelscited by 7
- 2023Representation biases in sentence transformerscited by 7
- 2023Improving Speech Translation by Cross-Modal Multi-Grained Contrastive Learningcited by 7
- 2024Extracting Sentence Embeddings from Pretrained Transformer Modelscited by 7
- 2022An Information Minimization Based Contrastive Learning Model for Unsupervised Sentence Embeddings Learningcited by 6
- 2021Improving Social Meaning Detection with Pragmatic Masking and Surrogate Fine-Tuningcited by 5
- 2023DebCSE: Rethinking Unsupervised Contrastive Sentence Embedding Learning in the Debiasing Perspectivecited by 5
- 2022Flow-Adapter Architecture for Unsupervised Machine Translationcited by 4
- 2022Unsupervised Sentence Textual Similarity with Compositional Phrase Semanticscited by 4
- 2023Global Flood Prediction: a Multimodal Machine Learning Approachcited by 4
- 2025Collaboration and Controversy Among Experts: Rumor Early Detection by Tuning a Comment Generatorcited by 4
- 2023Challenging Decoder helps in Masked Auto-Encoder Pre-training for Dense Passage Retrievalcited by 3
50 most cited of 83 All 83 (JSON)
- 2026Cost Scales with Change, Not Corpus Size: Incrementally Maintaining an Evolving Semantic Substrate17 Aug 2026
- 2026Semantic Homogenization in Italian Popular Music: A Diachronic Analysis6 Jul 2026
- 2026Your UnEmbedding Matrix is Secretly a Feature Lens for Text Embeddings5 Jun 2026
- 2026A Training-Free Mixture-of-Agents Framework for Multi-Document Summarization using LLMs and Knowledge Graphs2 Jun 2026
- 2026GeoMathCode: Understanding Interleaved Math-Code Reasoning for Geometry Problem Solving25 May 2026
- 2026Spectral Tempering for Embedding Compression in Dense Passage Retrieval19 Mar 2026
- 2025Cross-platform Product Matching Based on Entity Alignment of Knowledge Graph with RAEA model8 Dec 2025
- 2025Do We Really Need Specialization? Evaluating Generalist Text Embeddings for Zero-Shot Recommendation and Search7 Jul 2025
- 2025CSE-SFP: Enabling Unsupervised Sentence Representation Learning via a Single Forward Pass1 May 2025
- 2025LExT: Towards Evaluating Trustworthiness of Natural Language Explanations8 Apr 2025
- 2025Collaboration and Controversy Among Experts: Rumor Early Detection by Tuning a Comment Generator5 Apr 2025
- 2025Continuous Adversarial Text Representation Learning for Affective Recognition28 Feb 2025
38 more
- 2024HNCSE: Advancing Sentence Embeddings via Hybrid Contrastive Learning with Hard Negatives19 Nov 2024
- 2024SEMDR: A Semantic-Aware Dual Encoder Model for Legal Judgment Prediction with Legal Clue Tracing19 Aug 2024
- 2024Extracting Sentence Embeddings from Pretrained Transformer Models15 Aug 2024
- 2024Towards a Holistic Framework for Multimodal Large Language Models in Three-dimensional Brain CT Report Generation2 Jul 2024
- 2023An Efficient Self-Supervised Cross-View Training For Sentence Embedding6 Nov 2023
- 2023DebCSE: Rethinking Unsupervised Contrastive Sentence Embedding Learning in the Debiasing Perspective14 Sep 2023
- 2023Text Matching Improves Sequential Recommendation by Reducing Popularity Biases27 Aug 2023
- 2023Challenging Decoder helps in Masked Auto-Encoder Pre-training for Dense Passage Retrieval22 May 2023
- 2023Distilling Semantic Concept Embeddings from Contrastively Fine-Tuned Language Models16 May 2023
- 2023Unsupervised Sentence Representation Learning with Frequency-induced Adversarial Tuning and Incomplete Sentence Filtering15 May 2023
- 2023Compressing Sentence Representation with maximum Coding Rate Reduction25 Apr 2023
- 2023Improving Speech Translation by Cross-Modal Multi-Grained Contrastive Learning20 Apr 2023
- 2023ESimCSE Unsupervised Contrastive Learning Jointly with UDA Semi-Supervised Learning for Large Label System Text Classification Mode19 Apr 2023
- 2023Graph2topic: an opensource topic modeling framework based on sentence embedding and community detection13 Apr 2023
- 2023For Pre-Trained Vision Models in Motor Control, Not All Policy Learning Methods are Created Equal10 Apr 2023
- 2023ESCL: Equivariant Self-Contrastive Learning for Sentence Representations9 Mar 2023
- 2023CTRLStruct: Dialogue Structure Learning for Open-Domain Response Generation2 Mar 2023
- 2023Weighted Sampling for Masked Language Modeling28 Feb 2023
- 2023NoPPA: Non-Parametric Pairwise Attention Random Walk Model for Sentence Representation24 Feb 2023
- 2023Bag of Tricks for Effective Language Model Pretraining and Downstream Adaptation: A Case Study on GLUE18 Feb 2023
- 2023Representation biases in sentence transformers30 Jan 2023
- 2023Global Flood Prediction: a Multimodal Machine Learning Approach29 Jan 2023
- 2022MED-SE: Medical Entity Definition-based Sentence Embedding9 Dec 2022
- 2022L3Cube-MahaSBERT and HindSBERT: Sentence BERT Models and Benchmarking BERT Sentence Representations for Hindi and Marathi21 Nov 2022
- 2022Embracing Ambiguity: Improving Similarity-oriented Tasks with Contextual Synonym Knowledge20 Nov 2022
- 2022An Efficient Active Learning Pipeline for Legal Text Classification15 Nov 2022
- 2022Using Large Pre-Trained Language Model to Assist FDA in Premarket Medical Device3 Nov 2022
- 2022BERT-Flow-VAE: A Weakly-supervised Model for Multi-Label Text Classification27 Oct 2022
- 2022Sentence Representation Learning with Generative Objective rather than Contrastive Objective16 Oct 2022
- 2022Transparency Helps Reveal When Language Models Learn Meaning14 Oct 2022
- 2022Towards Structure-aware Paraphrase Identification with Phrase Alignment Using Sentence Encoders11 Oct 2022
- 2022Unsupervised Sentence Textual Similarity with Compositional Phrase Semantics5 Oct 2022
- 2022Regularized Contrastive Learning of Semantic Search27 Sep 2022
- 2022An Information Minimization Based Contrastive Learning Model for Unsupervised Sentence Embeddings Learning22 Sep 2022
- 2022Block-SCL: Blocking Matters for Supervised Contrastive Learning in Product Matching5 Jul 2022
- 2022Towards Universal Sequence Representation Learning for Recommender Systems13 Jun 2022
- 2022Improving Contrastive Learning of Sentence Embeddings with Case-Augmented Positives and Retrieved Negatives6 Jun 2022
- 2022E2S2: Encoding-Enhanced Sequence-to-Sequence Pretraining for Language Understanding and Generation30 May 2022
50 newest of 83 All 83 (JSON)
- 2021SimCSE: Simple Contrastive Learning of Sentence Embeddingscited by 2,168
- 2022Mind the Gap: Understanding the Modality Gap in Multi-modal Contrastive Representation Learningcited by 553
- 2021Whitening Sentence Representations for Better Semantics and Faster Retrievalcited by 198
- 2021Generating Datasets with Pretrained Language Modelscited by 192
- 2022DiffCSE: Difference-based Contrastive Learning for Sentence Embeddingscited by 131
- 2022Towards Universal Sequence Representation Learning for Recommender Systemscited by 120
- 2021TSDAE: Using Transformer-based Sequential Denoising Auto-Encoder for Unsupervised Sentence Embedding Learningcited by 116
- 2022PromptBERT: Improving BERT Sentence Embeddings with Promptscited by 75
- 2021ESimCSE: Enhanced Sample Building Method for Contrastive Learning of Unsupervised Sentence Embeddingcited by 73
- 2021How to Learn when Data Reacts to Your Model: Performative Gradient Descentcited by 70
- 2021SynCoBERT: Syntax-Guided Multi-Modal Contrastive Pre-Training for Code Representationcited by 63
- 2022Problems with Cosine as a Measure of Embedding Similarity for High Frequency Wordscited by 49
12 most cited of 78 All 78 (JSON)
- 2026Semantic Homogenization in Italian Popular Music: A Diachronic Analysis6 Jul 2026
- 2026Your UnEmbedding Matrix is Secretly a Feature Lens for Text Embeddings5 Jun 2026
- 2026Spectral Tempering for Embedding Compression in Dense Passage Retrieval19 Mar 2026
- 2025Cross-platform Product Matching Based on Entity Alignment of Knowledge Graph with RAEA model8 Dec 2025
- 2025Do We Really Need Specialization? Evaluating Generalist Text Embeddings for Zero-Shot Recommendation and Search7 Jul 2025
- 2025CSE-SFP: Enabling Unsupervised Sentence Representation Learning via a Single Forward Pass1 May 2025
- 2025LExT: Towards Evaluating Trustworthiness of Natural Language Explanations8 Apr 2025
- 2025Collaboration and Controversy Among Experts: Rumor Early Detection by Tuning a Comment Generator5 Apr 2025
- 2025Continuous Adversarial Text Representation Learning for Affective Recognition28 Feb 2025
- 2024HNCSE: Advancing Sentence Embeddings via Hybrid Contrastive Learning with Hard Negatives19 Nov 2024
- 2024SEMDR: A Semantic-Aware Dual Encoder Model for Legal Judgment Prediction with Legal Clue Tracing19 Aug 2024
- 2024Extracting Sentence Embeddings from Pretrained Transformer Models15 Aug 2024
12 newest of 78 All 78 (JSON)