Consistency of a Recurrent Language Model With Respect to Incomplete Decoding
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Abstract (arXiv)
Despite strong performance on a variety of tasks, neural sequence models trained with maximum likelihood have been shown to exhibit issues such as length bias and degenerate repetition. We study the related issue of receiving infinite-length sequences from a recurrent language model when using common decoding algorithms. To analyze this issue, we first define inconsistency of a decoding algorithm, meaning that the algorithm can yield an infinite-length sequence that has zero probability under the model. We prove that commonly used incomplete decoding algorithms - greedy search, beam search, top-k sampling, and nucleus sampling - are inconsistent, despite the fact that recurrent language models are trained to produce sequences of finite length. Based on these insights, we propose two remedies which address inconsistency: consistent variants of top-k and nucleus sampling, and a self-terminating recurrent language model. Empirical results show that inconsistency occurs in practice, and that the proposed methods prevent inconsistency.
Key facts. Cited by 54 papers in the map (data through 14 Oct 2026). First posted on arXiv 6 Feb 2020.
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Citing papers per year: 2020: 1; 2021: 9; 2022: 14; 2023: 9; 2024: 12; 2025: 5; 2026: 4.
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- 2023On the Representational Capacity of Recurrent Neural Language Models19 Oct 2023
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- 2022Evaluating Distributional Distortion in Neural Language Modeling24 Mar 2022
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- 2021Characterizing and addressing the issue of oversmoothing in neural autoregressive sequence modeling16 Dec 2021
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50 newest of 54 All 54 (JSON)
- 2022Self-Consistency Improves Chain of Thought Reasoning in Language Modelscited by 5,708
- 2022Maieutic Prompting: Logically Consistent Reasoning with Recursive Explanationscited by 159
- 2024Untangle the KNOT: Interweaving Conflicting Knowledge and Reasoning Skills in Large Language Modelscited by 3
- 2025Probability-Consistent Preference Optimization for Enhanced LLM Reasoningcited by 2
- 2026Beam Search, Self-Consistency, and the Limits of Inference-Time Scaling for Grammar-Constrained Text-to-SQL in Small Language Modelscited by 0
- 2026From Given to Gathered Evidence: Agentic Learning for Longitudinal Medical Reasoningcited by 0
- 2026From Given to Gathered Evidence: Agentic Learning for Longitudinal Medical Reasoning30 Sep 2026
- 2026Beam Search, Self-Consistency, and the Limits of Inference-Time Scaling for Grammar-Constrained Text-to-SQL in Small Language Models26 Aug 2026
- 2025Probability-Consistent Preference Optimization for Enhanced LLM Reasoning29 May 2025
- 2024Untangle the KNOT: Interweaving Conflicting Knowledge and Reasoning Skills in Large Language Models4 Apr 2024
- 2022Maieutic Prompting: Logically Consistent Reasoning with Recursive Explanations24 May 2022
- 2022Self-Consistency Improves Chain of Thought Reasoning in Language Models21 Mar 2022
- 2020Text Generation by Learning from Demonstrationscited by 64
- 2020Text Generation by Learning from Demonstrations16 Sep 2020
- 2021MAUVE: Measuring the Gap Between Neural Text and Human Text using Divergence Frontierscited by 470
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- 2024The pitfalls of next-token predictioncited by 160
- 2024From Decoding to Meta-Generation: Inference-time Algorithms for Large Language Modelscited by 137
- 2022Truncation Sampling as Language Model Desmoothingcited by 123
- 2023Amortizing intractable inference in large language modelscited by 97
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- 2022On Decoding Strategies for Neural Text Generatorscited by 90
- 2021Machine Translation Decoding beyond Beam Searchcited by 55
- 2022MAUVE Scores for Generative Models: Theory and Practicecited by 36
- 2024From Self-Attention to Markov Models: Unveiling the Dynamics of Generative Transformerscited by 34
- 2022A Measure-Theoretic Characterization of Tight Language Modelscited by 33
12 most cited of 42 All 42 (JSON)
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- 2026The Language-Energy Divide: Measuring Energy Costs of Multilingual LLM Inference20 Jun 2026
- 2025GaLLoP: Gradient-based Sparse Learning on Low-Magnitude Parameters22 Oct 2025
- 2025GUARD: Glocal Uncertainty-Aware Robust Decoding for Effective and Efficient Open-Ended Text Generation28 Aug 2025
- 2025Energy-Conscious LLM Decoding: Impact of Text Generation Strategies on GPU Energy Consumption17 Feb 2025
- 2024Generalists vs. Specialists: Evaluating LLMs on Highly-Constrained Biophysical Sequence Optimization Tasks29 Oct 2024
- 2024Leveraging Customer Feedback for Multi-modal Insight Extraction13 Oct 2024
- 2024Autoregressive Generation Strategies for Top-K Sequential Recommendations26 Sep 2024
- 2024Adaptive Contrastive Search: Uncertainty-Guided Decoding for Open-Ended Text Generation26 Jul 2024
- 2024From Decoding to Meta-Generation: Inference-time Algorithms for Large Language Models24 Jun 2024
- 2024The pitfalls of next-token prediction11 Mar 2024
- 2024From Self-Attention to Markov Models: Unveiling the Dynamics of Generative Transformers21 Feb 2024
12 newest of 42 All 42 (JSON)