Reverse Training to Nurse the Reversal Curse
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Abstract (arXiv)
Large language models (LLMs) have a surprising failure: when trained on "A has a feature B", they do not generalize to "B is a feature of A", which is termed the Reversal Curse. Even when training with trillions of tokens this issue still appears due to Zipf's law - hence even if we train on the entire internet. This work proposes an alternative training scheme, called reverse training, whereby all words are used twice, doubling the amount of available tokens. The LLM is trained in both forward and reverse directions by reversing the training strings while preserving (i.e., not reversing) chosen substrings, such as entities. We show that data-matched reverse-trained models provide superior performance to standard models on standard tasks, and compute-matched reverse-trained models provide far superior performance on reversal tasks, helping resolve the reversal curse issue.
Key facts. Cited by 49 papers in the map (data through 14 Oct 2026). Builds on 25 of its 33 references that are in the map. First posted on arXiv 20 Mar 2024.
Builds on
25 of 33 references.
References · 25
- 2018BERT: Pre-training of Deep Bidirectional Transformers for Language Understandingcited by 40,399
- 2023LLaMA: Open and Efficient Foundation Language Modelscited by 14,132
- 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 9,379
- 2020Measuring Massive Multitask Language Understandingcited by 7,963
- 2018Think you have Solved Question Answering? Try ARC, the AI2 Reasoning Challengecited by 4,886
- 2015Neural Machine Translation of Rare Words with Subword Unitscited by 2,918
- 2019PIQA: Reasoning about Physical Commonsense in Natural Languagecited by 2,883
- 2019XLNet: Generalized Autoregressive Pretraining for Language Understandingcited by 2,811
- 2019BoolQ: Exploring the Surprising Difficulty of Natural Yes/No Questionscited by 2,183
- 2018Can a Suit of Armor Conduct Electricity? A New Dataset for Open Book Question Answeringcited by 2,164
- 2019Cross-lingual Language Model Pretrainingcited by 1,090
- 2023The Reversal Curse: LLMs trained on "A is B" fail to learn "B is A"cited by 407
13 more
- 2023Physics of Language Models: Part 3.1, Knowledge Storage and Extractioncited by 270
- 2022Efficient Training of Language Models to Fill in the Middlecited by 255
- 2023Language Modeling Is Compressioncited by 225
- 2021Masked Language Modeling and the Distributional Hypothesis: Order Word Matters Pre-training for Littlecited by 177
- 2024Rephrasing the Web: A Recipe for Compute and Data-Efficient Language Modelingcited by 161
- 2023Self-Alignment with Instruction Backtranslationcited by 151
- 2023Taken out of context: On measuring situational awareness in LLMscited by 143
- 2023Physics of Language Models: Part 3.2, Knowledge Manipulationcited by 143
- 2020Pre-training via Paraphrasingcited by 92
- 2024Repetition Improves Language Model Embeddingscited by 72
- 2020FLERT: Document-Level Features for Named Entity Recognitioncited by 45
- 2023Meet in the Middle: A New Pre-training Paradigmcited by 22
- 2023An Analysis and Mitigation of the Reversal Cursecited by 22
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Citing papers per year: 2024: 19; 2025: 22; 2026: 8.
49 papers.
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- 2025Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusionscited by 214
- 2024Physics of Language Models: Part 3.3, Knowledge Capacity Scaling Lawscited by 144
- 2024Beyond Autoregression: Discrete Diffusion for Complex Reasoning and Planningcited by 135
- 2024Changing Answer Order Can Decrease MMLU Accuracycited by 42
- 2025On the generalization of language models from in-context learning and finetuning: a controlled studycited by 40
- 2024Are large language models superhuman chemists?cited by 34
- 2024Scaling Laws for Fact Memorization of Large Language Modelscited by 33
- 2024Towards a Theoretical Understanding of the 'Reversal Curse' via Training Dynamicscited by 27
- 2024The Factorization Curse: Which Tokens You Predict Underlie the Reversal Curse and Morecited by 25
- 2024Causality for Large Language Modelscited by 25
- 2024A Survey on the Honesty of Large Language Modelscited by 23
- 2026Large Language Model Reasoning Failurescited by 21
37 more
- 2024σ-GPTs: A New Approach to Autoregressive Modelscited by 20
- 2025Beyond Multi-Token Prediction: Pretraining LLMs with Future Summariescited by 15
- 2025Is the Reversal Curse a Binding Problem? Uncovering Limitations of Transformers from a Basic Generalization Failurecited by 13
- 2024Golden-Retriever: High-Fidelity Agentic Retrieval Augmented Generation for Industrial Knowledge Basecited by 11
- 2024Constraint Back-translation Improves Complex Instruction Following of Large Language Modelscited by 11
- 2024The Mystery of the Pathological Path-star Task for Language Modelscited by 8
- 2025How new data permeates LLM knowledge and how to dilute itcited by 8
- 2025Advancing the Scientific Method with Large Language Models: From Hypothesis to Discoverycited by 7
- 2025Rote Learning Considered Useful: Generalizing over Memorized Data in LLMscited by 5
- 2025Decomposing Complex Visual Comprehension into Atomic Visual Skills for Vision Language Modelscited by 4
- 2024Are Large Language Models Strategic Decision Makers? A Study of Performance and Bias in Two-Player Non-Zero-Sum Gamescited by 3
- 2024Latent Paraphrasing: Perturbation on Layers Improves Knowledge Injection in Language Modelscited by 3
- 2024Time-Reversal Provides Unsupervised Feedback to LLMscited by 3
- 2025Your Language Model May Think Too Rigidly: Achieving Reasoning Consistency with Symmetry-Enhanced Trainingcited by 3
- 2025Language Models, Graph Searching, and Supervision Adulteration: When More Supervision is Less and How to Make More Morecited by 3
- 2026TABES: Trajectory-Aware Backward-on-Entropy Steering for Masked Diffusion Modelscited by 3
- 2024Enhancing elusive clues in knowledge learning by contrasting attention of language modelscited by 2
- 2024Reverse Modeling in Large Language Modelscited by 2
- 2024Next-Token Prediction Task Assumes Optimal Data Ordering for LLM Training in Proof Generationcited by 2
- 2025From Poisoned to Aware: Fostering Backdoor Self-Awareness in LLMscited by 2
- 2025Diffusion-Inspired Masked Fine-Tuning for Knowledge Injection in Autoregressive LLMscited by 2
- 2026Breaking the Reversal Curse in Autoregressive Language Models via Identity Bridgecited by 2
- 2025RECALL: Library-Like Behavior In Language Models is Enhanced by Self-Referencing Causal Cyclescited by 1
- 2025What Makes the Preferred Thinking Direction for LLMs in Multiple-choice Questions?cited by 1
- 2025Open Problems and a Hypothetical Path Forward in LLM Knowledge Paradigmscited by 1
- 2025Understanding Fact Recall in Language Models: Why Two-Stage Training Encourages Memorization but Mixed Training Teaches Knowledgecited by 1
- 2025LEDOM: Reverse Language Modelcited by 1
- 2025Improving LLMs' Learning for Coreference Resolutioncited by 1
- 2025Bilinear representation mitigates reversal curse and enables consistent model editingcited by 1
- 2025Order Doesn't Matter, But Reasoning Does: Training LLMs with Order-Centric Augmentationcited by 0
- 2025VLMs Can Aggregate Scattered Training Patchescited by 0
- 2025Reversal Invariance in Autoregressive Language Modelscited by 0
- 2026A Theoretical Analysis of Why Masked Diffusion Models Mitigate the Reversal Cursecited by 0
- 2026Improving Latent Generalization Using Test-time Computecited by 0
- 2026The Illusion of Latent Generalization: Bi-directionality and the Reversal Cursecited by 0
- 2026Distilling Directional Verificationcited by 0
- 2026Learning a Fact Is Not Learning How to Retrieve Itcited by 0
- 2026Learning a Fact Is Not Learning How to Retrieve It2 Oct 2026
- 2026Distilling Directional Verification1 Oct 2026
- 2026Improving Latent Generalization Using Test-time Compute1 Apr 2026
- 2026The Illusion of Latent Generalization: Bi-directionality and the Reversal Curse13 Mar 2026
- 2026Large Language Model Reasoning Failures5 Feb 2026
- 2026Breaking the Reversal Curse in Autoregressive Language Models via Identity Bridge2 Feb 2026
- 2026A Theoretical Analysis of Why Masked Diffusion Models Mitigate the Reversal Curse2 Feb 2026
- 2026TABES: Trajectory-Aware Backward-on-Entropy Steering for Masked Diffusion Models30 Jan 2026
- 2025Reversal Invariance in Autoregressive Language Models1 Nov 2025
- 2025Beyond Multi-Token Prediction: Pretraining LLMs with Future Summaries16 Oct 2025
- 2025Diffusion-Inspired Masked Fine-Tuning for Knowledge Injection in Autoregressive LLMs10 Oct 2025
- 2025From Poisoned to Aware: Fostering Backdoor Self-Awareness in LLMs5 Oct 2025
37 more
- 2025Bilinear representation mitigates reversal curse and enables consistent model editing26 Sep 2025
- 2025Improving LLMs' Learning for Coreference Resolution14 Sep 2025
- 2025Rote Learning Considered Useful: Generalizing over Memorized Data in LLMs29 Jul 2025
- 2025LEDOM: Reverse Language Model2 Jul 2025
- 2025VLMs Can Aggregate Scattered Training Patches4 Jun 2025
- 2025Decomposing Complex Visual Comprehension into Atomic Visual Skills for Vision Language Models26 May 2025
- 2025Advancing the Scientific Method with Large Language Models: From Hypothesis to Discovery22 May 2025
- 2025Understanding Fact Recall in Language Models: Why Two-Stage Training Encourages Memorization but Mixed Training Teaches Knowledge22 May 2025
- 2025On the generalization of language models from in-context learning and finetuning: a controlled study1 May 2025
- 2025How new data permeates LLM knowledge and how to dilute it13 Apr 2025
- 2025Open Problems and a Hypothetical Path Forward in LLM Knowledge Paradigms9 Apr 2025
- 2025Is the Reversal Curse a Binding Problem? Uncovering Limitations of Transformers from a Basic Generalization Failure2 Apr 2025
- 2025Language Models, Graph Searching, and Supervision Adulteration: When More Supervision is Less and How to Make More More13 Mar 2025
- 2025Order Doesn't Matter, But Reasoning Does: Training LLMs with Order-Centric Augmentation27 Feb 2025
- 2025What Makes the Preferred Thinking Direction for LLMs in Multiple-choice Questions?25 Feb 2025
- 2025Your Language Model May Think Too Rigidly: Achieving Reasoning Consistency with Symmetry-Enhanced Training25 Feb 2025
- 2025Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions10 Feb 2025
- 2025RECALL: Library-Like Behavior In Language Models is Enhanced by Self-Referencing Causal Cycles23 Jan 2025
- 2024Time-Reversal Provides Unsupervised Feedback to LLMs3 Dec 2024
- 2024Latent Paraphrasing: Perturbation on Layers Improves Knowledge Injection in Language Models1 Nov 2024
- 2024Constraint Back-translation Improves Complex Instruction Following of Large Language Models31 Oct 2024
- 2024Next-Token Prediction Task Assumes Optimal Data Ordering for LLM Training in Proof Generation30 Oct 2024
- 2024Causality for Large Language Models20 Oct 2024
- 2024Beyond Autoregression: Discrete Diffusion for Complex Reasoning and Planning18 Oct 2024
- 2024The Mystery of the Pathological Path-star Task for Language Models17 Oct 2024
- 2024Reverse Modeling in Large Language Models13 Oct 2024
- 2024A Survey on the Honesty of Large Language Models27 Sep 2024
- 2024Enhancing elusive clues in knowledge learning by contrasting attention of language models26 Sep 2024
- 2024Golden-Retriever: High-Fidelity Agentic Retrieval Augmented Generation for Industrial Knowledge Base20 Jul 2024
- 2024Are Large Language Models Strategic Decision Makers? A Study of Performance and Bias in Two-Player Non-Zero-Sum Games5 Jul 2024
- 2024Changing Answer Order Can Decrease MMLU Accuracy27 Jun 2024
- 2024Scaling Laws for Fact Memorization of Large Language Models22 Jun 2024
- 2024The Factorization Curse: Which Tokens You Predict Underlie the Reversal Curse and More7 Jun 2024
- 2024Towards a Theoretical Understanding of the 'Reversal Curse' via Training Dynamics7 May 2024
- 2024σ-GPTs: A New Approach to Autoregressive Models15 Apr 2024
- 2024Physics of Language Models: Part 3.3, Knowledge Capacity Scaling Laws8 Apr 2024
- 2024Are large language models superhuman chemists?1 Apr 2024
- 2024Beyond Autoregression: Discrete Diffusion for Complex Reasoning and Planningcited by 135
- 2025On the generalization of language models from in-context learning and finetuning: a controlled studycited by 40
- 2024Towards a Theoretical Understanding of the 'Reversal Curse' via Training Dynamicscited by 27
- 2026Large Language Model Reasoning Failurescited by 21
- 2025Decomposing Complex Visual Comprehension into Atomic Visual Skills for Vision Language Modelscited by 4
- 2025Your Language Model May Think Too Rigidly: Achieving Reasoning Consistency with Symmetry-Enhanced Trainingcited by 3
- 2026Breaking the Reversal Curse in Autoregressive Language Models via Identity Bridgecited by 2
- 2025What Makes the Preferred Thinking Direction for LLMs in Multiple-choice Questions?cited by 1
- 2025Order Doesn't Matter, But Reasoning Does: Training LLMs with Order-Centric Augmentationcited by 0
- 2026Improving Latent Generalization Using Test-time Computecited by 0
- 2026Improving Latent Generalization Using Test-time Compute1 Apr 2026
- 2026Large Language Model Reasoning Failures5 Feb 2026
- 2026Breaking the Reversal Curse in Autoregressive Language Models via Identity Bridge2 Feb 2026
- 2025Decomposing Complex Visual Comprehension into Atomic Visual Skills for Vision Language Models26 May 2025
- 2025On the generalization of language models from in-context learning and finetuning: a controlled study1 May 2025
- 2025Order Doesn't Matter, But Reasoning Does: Training LLMs with Order-Centric Augmentation27 Feb 2025
- 2025What Makes the Preferred Thinking Direction for LLMs in Multiple-choice Questions?25 Feb 2025
- 2025Your Language Model May Think Too Rigidly: Achieving Reasoning Consistency with Symmetry-Enhanced Training25 Feb 2025
- 2024Beyond Autoregression: Discrete Diffusion for Complex Reasoning and Planning18 Oct 2024
- 2024Towards a Theoretical Understanding of the 'Reversal Curse' via Training Dynamics7 May 2024
- 2024A Survey on the Honesty of Large Language Modelscited by 23
- 2024A Survey on the Honesty of Large Language Models27 Sep 2024
- 2026Distilling Directional Verificationcited by 0
- 2026Distilling Directional Verification1 Oct 2026
- 2025VLMs Can Aggregate Scattered Training Patchescited by 0
- 2025VLMs Can Aggregate Scattered Training Patches4 Jun 2025
- 2024Physics of Language Models: Part 3.3, Knowledge Capacity Scaling Lawscited by 144
- 2024Changing Answer Order Can Decrease MMLU Accuracycited by 42
- 2024Are large language models superhuman chemists?cited by 34
- 2024Scaling Laws for Fact Memorization of Large Language Modelscited by 33
- 2024The Factorization Curse: Which Tokens You Predict Underlie the Reversal Curse and Morecited by 25
- 2024Causality for Large Language Modelscited by 25
- 2024σ-GPTs: A New Approach to Autoregressive Modelscited by 20
- 2025Beyond Multi-Token Prediction: Pretraining LLMs with Future Summariescited by 15
- 2025Is the Reversal Curse a Binding Problem? Uncovering Limitations of Transformers from a Basic Generalization Failurecited by 13
- 2024Constraint Back-translation Improves Complex Instruction Following of Large Language Modelscited by 11
- 2024The Mystery of the Pathological Path-star Task for Language Modelscited by 8
- 2025How new data permeates LLM knowledge and how to dilute itcited by 8
12 most cited of 31 All 31 (JSON)
- 2026Learning a Fact Is Not Learning How to Retrieve It2 Oct 2026
- 2026The Illusion of Latent Generalization: Bi-directionality and the Reversal Curse13 Mar 2026
- 2025Reversal Invariance in Autoregressive Language Models1 Nov 2025
- 2025Beyond Multi-Token Prediction: Pretraining LLMs with Future Summaries16 Oct 2025
- 2025Diffusion-Inspired Masked Fine-Tuning for Knowledge Injection in Autoregressive LLMs10 Oct 2025
- 2025Bilinear representation mitigates reversal curse and enables consistent model editing26 Sep 2025
- 2025Improving LLMs' Learning for Coreference Resolution14 Sep 2025
- 2025Rote Learning Considered Useful: Generalizing over Memorized Data in LLMs29 Jul 2025
- 2025LEDOM: Reverse Language Model2 Jul 2025
- 2025Advancing the Scientific Method with Large Language Models: From Hypothesis to Discovery22 May 2025
- 2025Understanding Fact Recall in Language Models: Why Two-Stage Training Encourages Memorization but Mixed Training Teaches Knowledge22 May 2025
- 2025How new data permeates LLM knowledge and how to dilute it13 Apr 2025
12 newest of 31 All 31 (JSON)