Autoregressive Language Models are Secretly Energy-Based Models: Insights into the Lookahead Capabilities of Next-Token Prediction
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Abstract (arXiv)
Autoregressive models (ARMs) currently constitute the dominant paradigm for large language models (LLMs). Energy-based models (EBMs) represent another class of models, which have historically been less prevalent in LLM development, yet naturally characterize the optimal policy in post-training alignment. In this paper, we provide a unified view of these two model classes. Taking the chain rule of probability as a starting point, we establish an explicit bijection between ARMs and EBMs in function space, which we show to correspond to a special case of the soft Bellman equation in maximum entropy reinforcement learning. Building upon this bijection, we derive the equivalence between supervised learning of ARMs and EBMs. Furthermore, we analyze the distillation of EBMs into ARMs by providing theoretical error bounds. Our results provide insights into the ability of ARMs to plan ahead, despite being based on the next-token prediction paradigm.
Key facts. Cited by 8 papers in the map (data through 14 Oct 2026). Builds on 35 of its 51 references that are in the map. First posted on arXiv 17 Dec 2025.
Builds on
35 of 51 references.
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23 more
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Built on by
Citing papers per year: 2026: 8.
8 papers.
- 2026LoopUS: Recasting Pretrained LLMs into Looped Latent Refinement Modelscited by 15
- 2026Ontology-Constrained Neural Reasoning in Enterprise Agentic Systems: A Neurosymbolic Architecture for Domain-Grounded AI Agentscited by 3
- 2026Distributional Energy-Based Models for Uncertainty-Aware Structured LLM Reasoningcited by 2
- 2026Graph Energy Matching: Transport-Aligned Energy-Based Modeling for Graph Generationcited by 1
- 2026Constitutional On-Policy Safe Distillationcited by 1
- 2026Large Language Models Can Take False First Steps at Inference-time Planningcited by 0
- 2026d-OPD: Future-Aware On-Policy Distillation for Block Diffusion Language Modelscited by 0
- 2026Revealing Epistemic Uncertainty in MLLMs via Causal-Invariant Maskingcited by 0
- 2026Revealing Epistemic Uncertainty in MLLMs via Causal-Invariant Masking2 Oct 2026
- 2026d-OPD: Future-Aware On-Policy Distillation for Block Diffusion Language Models28 Sep 2026
- 2026Constitutional On-Policy Safe Distillation2 Jun 2026
- 2026Distributional Energy-Based Models for Uncertainty-Aware Structured LLM Reasoning15 May 2026
- 2026LoopUS: Recasting Pretrained LLMs into Looped Latent Refinement Models10 May 2026
- 2026Ontology-Constrained Neural Reasoning in Enterprise Agentic Systems: A Neurosymbolic Architecture for Domain-Grounded AI Agents1 Apr 2026
- 2026Graph Energy Matching: Transport-Aligned Energy-Based Modeling for Graph Generation24 Mar 2026
- 2026Large Language Models Can Take False First Steps at Inference-time Planning3 Feb 2026
Similar, not cited
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- 2026ForkLeft: Entropy-First Rollouts for Prefix-Aligned Autoregressive-to-Diffusion Distillation
- 2024Entropy-Regularized Token-Level Policy Optimization for Language Agent Reinforcement
- 2024Beyond Autoregression: Fast LLMs via Self-Distillation Through Time
- 2025A Theoretical Lens for RL-Tuned Language Models via Energy-Based Models
- 2026LLMs as High-Dimensional Nonlinear Autoregressive Models with Attention: Training, Alignment and Inference
- 2026JustOPD: On-Policy Distillation from Autoregressive to Diffusion Language Models
- 2026ETS: Energy-Guided Test-Time Scaling for Training-Free RL Alignment
- 2026Energy Consumption Analysis of Discrete Diffusion and Autoregressive Language Models