Non-Monotonic Sequential Text Generation
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Abstract (arXiv)
Standard sequential generation methods assume a pre-specified generation order, such as text generation methods which generate words from left to right. In this work, we propose a framework for training models of text generation that operate in non-monotonic orders; the model directly learns good orders, without any additional annotation. Our framework operates by generating a word at an arbitrary position, and then recursively generating words to its left and then words to its right, yielding a binary tree. Learning is framed as imitation learning, including a coaching method which moves from imitating an oracle to reinforcing the policy's own preferences. Experimental results demonstrate that using the proposed method, it is possible to learn policies which generate text without pre-specifying a generation order, while achieving competitive performance with conventional left-to-right generation.
Key facts. Cited by 55 papers in the map (data through 7 Oct 2026). First posted on arXiv 5 Feb 2019.
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Citing papers per year: 2020: 1; 2021: 16; 2022: 11; 2023: 8; 2024: 5; 2025: 6; 2026: 8.
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- 2021NeuroLogic A*esque Decoding: Constrained Text Generation with Lookahead Heuristicscited by 153
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50 most cited of 55 All 55 (JSON)
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- 2026Reversible Diffusion Decoding for Diffusion Language Models29 Jan 2026
- 2026Thinking Out of Order: When Output Order Stops Reflecting Reasoning Order in Diffusion Language Models29 Jan 2026
- 2025Discovering Learning-Friendly Generation Orders for Sequential Computation30 Jun 2025
- 2025Insertion Language Models: Sequence Generation with Arbitrary-Position Insertions9 May 2025
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38 more
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- 2023SqueezeLLM: Dense-and-Sparse Quantization13 Jun 2023
- 2023Factually Consistent Summarization via Reinforcement Learning with Textual Entailment Feedback31 May 2023
- 2023Interactive Text Generation2 Mar 2023
- 2023Speculative Decoding with Big Little Decoder15 Feb 2023
- 2023Zero-shot Clarifying Question Generation for Conversational Search30 Jan 2023
- 2022Plansformer: Generating Symbolic Plans using Transformers16 Dec 2022
- 2022Can Language Models Be Specific? How?11 Oct 2022
- 2022UCEpic: Unifying Aspect Planning and Lexical Constraints for Generating Explanations in Recommendation28 Sep 2022
- 2022An Ion Exchange Mechanism Inspired Story Ending Generator for Different Characters1 Sep 2022
- 2022Linguistically inspired roadmap for building biologically reliable protein language models3 Jul 2022
- 2022Why is constrained neural language generation particularly challenging?11 Jun 2022
- 2022RankGen: Improving Text Generation with Large Ranking Models19 May 2022
- 2022A Survey on Non-Autoregressive Generation for Neural Machine Translation and Beyond20 Apr 2022
- 2022An Imitation Learning Curriculum for Text Editing with Non-Autoregressive Models17 Mar 2022
- 2022Faithfulness in Natural Language Generation: A Systematic Survey of Analysis, Evaluation and Optimization Methods10 Mar 2022
- 2022Commonsense Knowledge Reasoning and Generation with Pre-trained Language Models: A Survey28 Jan 2022
- 2021Diformer: Directional Transformer for Neural Machine Translation22 Dec 2021
- 2021NeuroLogic A*esque Decoding: Constrained Text Generation with Lookahead Heuristics16 Dec 2021
- 2021Towards More Efficient Insertion Transformer with Fractional Positional Encoding12 Dec 2021
- 2021Leveraging Recursive Gumbel-Max Trick for Approximate Inference in Combinatorial Spaces28 Oct 2021
- 2021Discovering Non-monotonic Autoregressive Orderings with Variational Inference27 Oct 2021
- 2021Improving Scheduled Sampling with Elastic Weight Consolidation for Neural Machine Translation13 Sep 2021
- 2021Learning to Complete Code with Sketches18 Jun 2021
- 2021Exploring Dynamic Selection of Branch Expansion Orders for Code Generation1 Jun 2021
- 2021IGA : An Intent-Guided Authoring Assistant14 Apr 2021
- 2021Machine Translation Decoding beyond Beam Search12 Apr 2021
- 2021Extending Multi-Sense Word Embedding to Phrases and Sentences for Unsupervised Semantic Applications29 Mar 2021
- 2021ENCONTER: Entity Constrained Progressive Sequence Generation via Insertion-based Transformer17 Mar 2021
50 newest of 55 All 55 (JSON)
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- 2026Reversible Diffusion Decoding for Diffusion Language Modelscited by 1
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- 2026A Continuous-Time Markov Chain Framework for Insertion Language Modelscited by 0
- 2026A Continuous-Time Markov Chain Framework for Insertion Language Models8 Jun 2026
- 2026Insertion Based Sequence Generation with Learnable Order Dynamics21 Feb 2026
- 2026DreamOn: Diffusion Language Models For Code Infilling Beyond Fixed-size Canvas1 Feb 2026
- 2026Reversible Diffusion Decoding for Diffusion Language Models29 Jan 2026
- 2025Generalized Interpolating Discrete Diffusion6 Mar 2025
- 2023PathFinder: Guided Search over Multi-Step Reasoning Pathscited by 12
- 2024Untangle the KNOT: Interweaving Conflicting Knowledge and Reasoning Skills in Large Language Modelscited by 3
- 2025What Makes the Preferred Thinking Direction for LLMs in Multiple-choice Questions?cited by 1
- 2026Thinking Out of Order: When Output Order Stops Reflecting Reasoning Order in Diffusion Language Modelscited by 1
- 2026Scheduling Thoughts: Learning the Order of Thought in Diffusion Language Modelscited by 1
- 2026Scheduling Thoughts: Learning the Order of Thought in Diffusion Language Models22 Jun 2026
- 2026Thinking Out of Order: When Output Order Stops Reflecting Reasoning Order in Diffusion Language Models29 Jan 2026
- 2025What Makes the Preferred Thinking Direction for LLMs in Multiple-choice Questions?25 Feb 2025
- 2024Untangle the KNOT: Interweaving Conflicting Knowledge and Reasoning Skills in Large Language Models4 Apr 2024
- 2023PathFinder: Guided Search over Multi-Step Reasoning Paths8 Dec 2023
- 2023Speculative Decoding with Big Little Decodercited by 163
- 2023Speculative Decoding with Big Little Decoder15 Feb 2023
- 2023SqueezeLLM: Dense-and-Sparse Quantizationcited by 285
- 2021NeuroLogic A*esque Decoding: Constrained Text Generation with Lookahead Heuristicscited by 153
- 2022RankGen: Improving Text Generation with Large Ranking Modelscited by 72
- 2023Factually Consistent Summarization via Reinforcement Learning with Textual Entailment Feedbackcited by 71
- 2022A Survey on Non-Autoregressive Generation for Neural Machine Translation and Beyondcited by 64
- 2021Machine Translation Decoding beyond Beam Searchcited by 55
- 2022Plansformer: Generating Symbolic Plans using Transformerscited by 41
- 2022Commonsense Knowledge Reasoning and Generation with Pre-trained Language Models: A Surveycited by 38
- 2022Faithfulness in Natural Language Generation: A Systematic Survey of Analysis, Evaluation and Optimization Methodscited by 27
- 2021Learning to Complete Code with Sketchescited by 23
- 2022An Imitation Learning Curriculum for Text Editing with Non-Autoregressive Modelscited by 20
- 2022Why is constrained neural language generation particularly challenging?cited by 19
12 most cited of 43 All 43 (JSON)
- 2026The Architect, the Adversary, and the Judge: Closed-Loop Generation of Standards-Aligned Assessment Items at Scale26 Aug 2026
- 2026The UNDO Flip-Flop: A Controlled Probe for Reversible Semantic State Management in State Space Model7 Apr 2026
- 2025Discovering Learning-Friendly Generation Orders for Sequential Computation30 Jun 2025
- 2025Insertion Language Models: Sequence Generation with Arbitrary-Position Insertions9 May 2025
- 2025Distilling Specialized Orders for Visual Generation23 Apr 2025
- 2025Looking beyond the next token15 Apr 2025
- 2024The Belief State Transformer30 Oct 2024
- 2024COrAL: Order-Agnostic Language Modeling for Efficient Iterative Refinement12 Oct 2024
- 2024Improving Grammatical Error Correction via Contextual Data Augmentation25 Jun 2024
- 2024Retrieval is Accurate Generation27 Feb 2024
- 2023Self-Infilling Code Generation29 Nov 2023
- 2023Advancements in Scientific Controllable Text Generation Methods8 Jul 2023
12 newest of 43 All 43 (JSON)
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