Limitations of Autoregressive Models and Their Alternatives
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Abstract (arXiv)
Standard autoregressive language models perform only polynomial-time computation to compute the probability of the next symbol. While this is attractive, it means they cannot model distributions whose next-symbol probability is hard to compute. Indeed, they cannot even model them well enough to solve associated easy decision problems for which an engineer might want to consult a language model. These limitations apply no matter how much computation and data are used to train the model, unless the model is given access to oracle parameters that grow superpolynomially in sequence length. Thus, simply training larger autoregressive language models is not a panacea for NLP. Alternatives include energy-based models (which give up efficient sampling) and latent-variable autoregressive models (which give up efficient scoring of a given string). Both are powerful enough to escape the above limitations.
Key facts. Cited by 54 papers in the map (data through 7 Oct 2026). First posted on arXiv 22 Oct 2020.
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Citing papers per year: 2021: 2; 2022: 5; 2023: 16; 2024: 13; 2025: 11; 2026: 7.
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- 2024Beyond Autoregression: Discrete Diffusion for Complex Reasoning and Planning18 Oct 2024
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- 2023Diffusion Language Models Can Perform Many Tasks with Scaling and Instruction-Finetuningcited by 39
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- 2023Parallel Vertex Diffusion for Unified Visual Groundingcited by 28
- 2025Scalable Discrete Diffusion Samplers: Combinatorial Optimization and Statistical Physicscited by 28
- 2025DLM-One: Diffusion Language Models for One-Step Sequence Generationcited by 19
- 2026Leveraging Pretrained Language Models as Energy Functions for Glauber Dynamics Text Diffusioncited by 1
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- 2025TESS 2: A Large-Scale Generalist Diffusion Language Model19 Feb 2025
- 2025Scalable Discrete Diffusion Samplers: Combinatorial Optimization and Statistical Physics12 Feb 2025
- 2024Scaling Diffusion Language Models via Adaptation from Autoregressive Models23 Oct 2024
- 2024A Diffusion Model Framework for Unsupervised Neural Combinatorial Optimization3 Jun 2024
- 2023Diffusion Language Models Can Perform Many Tasks with Scaling and Instruction-Finetuning23 Aug 2023
- 2023Likelihood-Based Diffusion Language Models30 May 2023
- 2023Parallel Vertex Diffusion for Unified Visual Grounding13 Mar 2023
- 2023Imitating Human Behaviour with Diffusion Models25 Jan 2023
- 2024Beyond Autoregression: Discrete Diffusion for Complex Reasoning and Planningcited by 135
- 2025Unveiling Causal Reasoning in Large Language Models: Reality or Mirage?cited by 36
- 2023Pangu-Agent: A Fine-Tunable Generalist Agent with Structured Reasoningcited by 30
- 2025A Tutorial on LLM Reasoning: Relevant Methods behind ChatGPT o1cited by 24
- 2024OCEAN: Offline Chain-of-thought Evaluation and Alignment in Large Language Modelscited by 12
- 2026Binary Rewards and Reinforcement Learning: Fundamental Challengescited by 1
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- 2026How Fast Should a Model Commit to Supervision? Training Reasoning Models on the Tsallis Loss Continuum28 Apr 2026
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- 2024Beyond Autoregression: Discrete Diffusion for Complex Reasoning and Planning18 Oct 2024
- 2023Pangu-Agent: A Fine-Tunable Generalist Agent with Structured Reasoning22 Dec 2023
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- 2023Faith and Fate: Limits of Transformers on Compositionalitycited by 496
- 2023Challenges and Applications of Large Language Modelscited by 251
- 2024The pitfalls of next-token predictioncited by 156
- 2023What Formal Languages Can Transformers Express? A Surveycited by 120
- 2023The No Free Lunch Theorem, Kolmogorov Complexity, and the Role of Inductive Biases in Machine Learningcited by 63
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- 2021Sequence-to-Sequence Learning with Latent Neural Grammarscited by 30
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- 2025CordViP: Correspondence-based Visuomotor Policy for Dexterous Manipulation in Real-Worldcited by 16
- 2024animal2vec and MeerKAT: A self-supervised transformer for rare-event raw audio input and a large-scale reference dataset for bioacousticscited by 14
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- 2025SMCLM: Semantically Meaningful Causal Language Modeling for Autoregressive Paraphrase Generation4 Jul 2025
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- 2025Reflection-Window Decoding: Text Generation with Selective Refinement5 Feb 2025
- 2025Learning Model Successors31 Jan 2025
- 2024SetLexSem Challenge: Using Set Operations to Evaluate the Lexical and Semantic Robustness of Language Models11 Nov 2024
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