Trans-Encoder: Unsupervised sentence-pair modelling through self- and mutual-distillations
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Abstract (arXiv)
In NLP, a large volume of tasks involve pairwise comparison between two sequences (e.g. sentence similarity and paraphrase identification). Predominantly, two formulations are used for sentence-pair tasks: bi-encoders and cross-encoders. Bi-encoders produce fixed-dimensional sentence representations and are computationally efficient, however, they usually underperform cross-encoders. Cross-encoders can leverage their attention heads to exploit inter-sentence interactions for better performance but they require task fine-tuning and are computationally more expensive. In this paper, we present a completely unsupervised sentence representation model termed as Trans-Encoder that combines the two learning paradigms into an iterative joint framework to simultaneously learn enhanced bi- and cross-encoders. Specifically, on top of a pre-trained Language Model (PLM), we start with converting it to an unsupervised bi-encoder, and then alternate between the bi- and cross-encoder task formulations. In each alternation, one task formulation will produce pseudo-labels which are used as learning signals for the other task formulation. We then propose an extension to conduct such self-distillation approach on multiple PLMs in parallel and use the average of their pseudo-labels for mutual-distillation. Trans-Encoder creates, to the best of our knowledge, the first completely unsupervised cross-encoder and also a state-of-the-art unsupervised bi-encoder for sentence similarity. Both the bi-encoder and cross-encoder formulations of Trans-Encoder outperform recently proposed state-of-the-art unsupervised sentence encoders such as Mirror-BERT and SimCSE by up to 5% on the sentence similarity benchmarks.
Key facts. Cited by 20 papers in the map (data through 7 Oct 2026). Builds on 25 of its 39 references that are in the map. First posted on arXiv 27 Sep 2021.
Builds on
25 of 39 references.
References · 25
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13 more
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Citing papers per year: 2021: 1; 2022: 7; 2023: 6; 2024: 4; 2025: 1; 2026: 1.
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- 2023kNN Prompting: Beyond-Context Learning with Calibration-Free Nearest Neighbor Inferencecited by 47
- 2022PCL: Peer-Contrastive Learning with Diverse Augmentations for Unsupervised Sentence Embeddingscited by 29
- 2022Fine-Grained Distillation for Long Document Retrievalcited by 29
- 2023Improving Contrastive Learning of Sentence Embeddings from AI Feedbackcited by 29
- 2022Ranking-Enhanced Unsupervised Sentence Representation Learningcited by 15
- 2023Beyond Two-Tower Matching: Learning Sparse Retrievable Cross-Interactions for Recommendationcited by 13
- 2022Efficient Nearest Neighbor Search for Cross-Encoder Models using Matrix Factorizationcited by 10
- 2021Evaluating Metrics for Bias in Word Embeddingscited by 7
- 2022Improving Bilingual Lexicon Induction with Cross-Encoder Rerankingcited by 7
- 2022miCSE: Mutual Information Contrastive Learning for Low-shot Sentence Embeddingscited by 7
- 2023Some Like It Small: Czech Semantic Embedding Models for Industry Applicationscited by 3
- 2024FusionDTI: Fine-grained Binding Discovery with Token-level Fusion for Drug-Target Interactioncited by 3
8 more
- 2022Bootstrapping meaning through listening: Unsupervised learning of spoken sentence embeddingscited by 2
- 2023LEA: Improving Sentence Similarity Robustness to Typos Using Lexical Attention Biascited by 2
- 2023MFBE: Leveraging Multi-Field Information of FAQs for Efficient Dense Retrievalcited by 1
- 2024Adaptive Retrieval and Scalable Indexing for k-NN Search with Cross-Encoderscited by 1
- 2024Space Decomposition for Sentence Embeddingcited by 1
- 2025Advances and Challenges in Semantic Textual Similarity: A Comprehensive Surveycited by 1
- 2024UNSEE: Unsupervised Non-contrastive Sentence Embeddingscited by 0
- 2026Relevance-Based Embeddings: Lightweight Candidate Retrieval via Heavy-Ranker Callscited by 0
- 2026Relevance-Based Embeddings: Lightweight Candidate Retrieval via Heavy-Ranker Calls3 Jul 2026
- 2025Advances and Challenges in Semantic Textual Similarity: A Comprehensive Survey19 Dec 2025
- 2024Space Decomposition for Sentence Embedding5 Jun 2024
- 2024FusionDTI: Fine-grained Binding Discovery with Token-level Fusion for Drug-Target Interaction3 Jun 2024
- 2024Adaptive Retrieval and Scalable Indexing for k-NN Search with Cross-Encoders6 May 2024
- 2024UNSEE: Unsupervised Non-contrastive Sentence Embeddings27 Jan 2024
- 2023Beyond Two-Tower Matching: Learning Sparse Retrievable Cross-Interactions for Recommendation30 Nov 2023
- 2023Some Like It Small: Czech Semantic Embedding Models for Industry Applications23 Nov 2023
- 2023LEA: Improving Sentence Similarity Robustness to Typos Using Lexical Attention Bias6 Jul 2023
- 2023Improving Contrastive Learning of Sentence Embeddings from AI Feedback3 May 2023
- 2023kNN Prompting: Beyond-Context Learning with Calibration-Free Nearest Neighbor Inference24 Mar 2023
- 2023MFBE: Leveraging Multi-Field Information of FAQs for Efficient Dense Retrieval23 Feb 2023
8 more
- 2022Fine-Grained Distillation for Long Document Retrieval20 Dec 2022
- 2022miCSE: Mutual Information Contrastive Learning for Low-shot Sentence Embeddings9 Nov 2022
- 2022Improving Bilingual Lexicon Induction with Cross-Encoder Reranking30 Oct 2022
- 2022Bootstrapping meaning through listening: Unsupervised learning of spoken sentence embeddings23 Oct 2022
- 2022Efficient Nearest Neighbor Search for Cross-Encoder Models using Matrix Factorization23 Oct 2022
- 2022Ranking-Enhanced Unsupervised Sentence Representation Learning9 Sep 2022
- 2022PCL: Peer-Contrastive Learning with Diverse Augmentations for Unsupervised Sentence Embeddings28 Jan 2022
- 2021Evaluating Metrics for Bias in Word Embeddings15 Nov 2021
- 2023kNN Prompting: Beyond-Context Learning with Calibration-Free Nearest Neighbor Inferencecited by 47
- 2022PCL: Peer-Contrastive Learning with Diverse Augmentations for Unsupervised Sentence Embeddingscited by 29
- 2022Fine-Grained Distillation for Long Document Retrievalcited by 29
- 2022Ranking-Enhanced Unsupervised Sentence Representation Learningcited by 15
- 2023Beyond Two-Tower Matching: Learning Sparse Retrievable Cross-Interactions for Recommendationcited by 13
- 2022Efficient Nearest Neighbor Search for Cross-Encoder Models using Matrix Factorizationcited by 10
- 2021Evaluating Metrics for Bias in Word Embeddingscited by 7
- 2022Improving Bilingual Lexicon Induction with Cross-Encoder Rerankingcited by 7
- 2022miCSE: Mutual Information Contrastive Learning for Low-shot Sentence Embeddingscited by 7
- 2023Some Like It Small: Czech Semantic Embedding Models for Industry Applicationscited by 3
- 2024FusionDTI: Fine-grained Binding Discovery with Token-level Fusion for Drug-Target Interactioncited by 3
- 2022Bootstrapping meaning through listening: Unsupervised learning of spoken sentence embeddingscited by 2
12 most cited of 19 All 19 (JSON)
- 2026Relevance-Based Embeddings: Lightweight Candidate Retrieval via Heavy-Ranker Calls3 Jul 2026
- 2025Advances and Challenges in Semantic Textual Similarity: A Comprehensive Survey19 Dec 2025
- 2024Space Decomposition for Sentence Embedding5 Jun 2024
- 2024FusionDTI: Fine-grained Binding Discovery with Token-level Fusion for Drug-Target Interaction3 Jun 2024
- 2024Adaptive Retrieval and Scalable Indexing for k-NN Search with Cross-Encoders6 May 2024
- 2024UNSEE: Unsupervised Non-contrastive Sentence Embeddings27 Jan 2024
- 2023Beyond Two-Tower Matching: Learning Sparse Retrievable Cross-Interactions for Recommendation30 Nov 2023
- 2023Some Like It Small: Czech Semantic Embedding Models for Industry Applications23 Nov 2023
- 2023LEA: Improving Sentence Similarity Robustness to Typos Using Lexical Attention Bias6 Jul 2023
- 2023kNN Prompting: Beyond-Context Learning with Calibration-Free Nearest Neighbor Inference24 Mar 2023
- 2023MFBE: Leveraging Multi-Field Information of FAQs for Efficient Dense Retrieval23 Feb 2023
- 2022Fine-Grained Distillation for Long Document Retrieval20 Dec 2022
12 newest of 19 All 19 (JSON)