mlsanityData to 14 Oct 2026

Energy-Based Transformers are Scalable Learners and Thinkers

arXiv 2507.02092 ↗First posted 2 Jul 2025cs.LG cs.AI cs.CLcited by 31

On the map: LLM reasoning → Test-time compute and efficient thinking

Abstract (arXiv)

Inference-time computation techniques, analogous to human System 2 Thinking, have recently become popular for improving model performances. However, most existing approaches suffer from several limitations: they are modality-specific (e.g., working only in text), problem-specific (e.g., verifiable domains like math and coding), or require additional supervision/training on top of unsupervised pretraining (e.g., verifiers or verifiable rewards). In this paper, we ask the question "Is it possible to generalize these System 2 Thinking approaches, and develop models that learn to think solely from unsupervised learning?" Interestingly, we find the answer is yes, by learning to explicitly verify the compatibility between inputs and candidate-predictions, and then re-framing prediction problems as optimization with respect to this verifier. Specifically, we train Energy-Based Transformers (EBTs) -- a new class of Energy-Based Models (EBMs) -- to assign an energy value to every input and candidate-prediction pair, enabling predictions through gradient descent-based energy minimization until convergence. Across both discrete (text) and continuous (visual) modalities, we find EBTs scale faster than the dominant Transformer++ approach during training, achieving an up to 35% higher scaling rate with respect to data, batch size, parameters, FLOPs, and depth. During inference, EBTs improve performance with System 2 Thinking by 29% more than the Transformer++ on language tasks, and EBTs outperform Diffusion Transformers on image denoising while using fewer forward passes. Further, we find that EBTs achieve better results than existing models on most downstream tasks given the same or worse pretraining performance, suggesting that EBTs generalize better than existing approaches. Consequently, EBTs are a promising new paradigm for scaling both the learning and thinking capabilities of models.

Key facts. Cited by 31 papers in the map (data through 14 Oct 2026). Placed in Test-time compute and efficient thinking, one of 17 directions in LLM reasoning. Builds on 99 of its 147 references that are in the map. First posted on arXiv 2 Jul 2025.

Builds on

99 of 147 references.

Closest ancestors · 7

Same direction, newest first

  1. 2025The Illusion of Thinking: Understanding the Strengths and Limitations of Reasoning Models via the Lens of Problem Complexity7 Jun
  2. 2025Reasoning with Latent Thoughts: On the Power of Looped Transformers24 Feb
  3. 2025Scaling up Test-Time Compute with Latent Reasoning: A Recurrent Depth Approach7 Feb
  4. 2024Adaptive Inference-Time Compute: LLMs Can Predict if They Can Do Better, Even Mid-Generation3 Oct
  5. 2024Scaling LLM Test-Time Compute Optimally can be More Effective than Scaling Model Parameters6 Aug
  6. 2023Think before you speak: Training Language Models With Pause Tokens3 Oct
  7. 2023Tree of Thoughts: Deliberate Problem Solving with Large Language Models17 May

Other references · 92

  1. 2017Attention Is All You Needcited by 60,361
  2. 2020Denoising Diffusion Probabilistic Modelscited by 21,076
  3. 2021High-Resolution Image Synthesis with Latent Diffusion Modelscited by 18,863
  4. 2014Microsoft COCO: Common Objects in Contextcited by 17,608
  5. 2022Training language models to follow instructions with human feedbackcited by 15,971
  6. 2024The Llama 3 Herd of Modelscited by 14,715
  7. 2022Chain-of-Thought Prompting Elicits Reasoning in Large Language Modelscited by 12,459
  8. 2021Training Verifiers to Solve Math Word Problemscited by 10,109
  9. 2020Score-Based Generative Modeling through Stochastic Differential Equationscited by 9,122
  10. 2014ImageNet Large Scale Visual Recognition Challengecited by 8,498
  11. 2021Masked Autoencoders Are Scalable Vision Learnerscited by 7,403
  12. 2020Scaling Laws for Neural Language Modelscited by 6,586
38 more
  1. 2025DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learningcited by 6,330
  2. 2022Scalable Diffusion Models with Transformerscited by 6,054
  3. 2023Mamba: Linear-Time Sequence Modeling with Selective State Spacescited by 4,718
  4. 2017Neural Discrete Representation Learningcited by 4,712
  5. 2021RoFormer: Enhanced Transformer with Rotary Position Embeddingcited by 4,703
  6. 2016SQuAD: 100,000+ Questions for Machine Comprehension of Textcited by 4,148
  7. 2023Let's Verify Step by Stepcited by 3,789
  8. 2018Neural Ordinary Differential Equationscited by 3,779
  9. 2022Training Compute-Optimal Large Language Modelscited by 3,019
  10. 2023Diffusion Policy: Visuomotor Policy Learning via Action Diffusioncited by 2,838
  11. 2020Learning to summarize from human feedbackcited by 2,588
  12. 2022Beyond the Imitation Game: Quantifying and extrapolating the capabilities of language modelscited by 1,998
  13. 2020GLU Variants Improve Transformercited by 1,804
  14. 2020Don't Stop Pretraining: Adapt Language Models to Domains and Taskscited by 1,565
  15. 2024The FineWeb Datasets: Decanting the Web for the Finest Text Data at Scalecited by 1,160
  16. 2017Visualizing the Loss Landscape of Neural Netscited by 1,130
  17. 2023Language Models Don't Always Say What They Think: Unfaithful Explanations in Chain-of-Thought Promptingcited by 1,122
  18. 2017The "something something" video database for learning and evaluating visual common sensecited by 1,103
  19. 2022Planning with Diffusion for Flexible Behavior Synthesiscited by 1,061
  20. 2025Does Reinforcement Learning Really Incentivize Reasoning Capacity in LLMs Beyond the Base Model?cited by 982
  21. 2023RWKV: Reinventing RNNs for the Transformer Eracited by 827
  22. 2024Training Large Language Models to Reason in a Continuous Latent Spacecited by 797
  23. 2022GPT-NeoX-20B: An Open-Source Autoregressive Language Modelcited by 713
  24. 2024Autoregressive Image Generation without Vector Quantizationcited by 651
  25. 2022Compositional Visual Generation with Composable Diffusion Modelscited by 624
  26. 2024GSM-Symbolic: Understanding the Limitations of Mathematical Reasoning in Large Language Modelscited by 550
  27. 2023Are Emergent Abilities of Large Language Models a Mirage?cited by 523
  28. 2020Scaling Laws for Autoregressive Generative Modelingcited by 522
  29. 2018Do Deep Generative Models Know What They Don't Know?cited by 443
  30. 2023The Reversal Curse: LLMs trained on "A is B" fail to learn "B is A"cited by 407
  31. 2024DINO-WM: World Models on Pre-trained Visual Features enable Zero-shot Planningcited by 386
  32. 2024Learning to (Learn at Test Time): RNNs with Expressive Hidden Statescited by 355
  33. 2025From System 1 to System 2: A Survey of Reasoning Large Language Modelscited by 320
  34. 2025Inference-Time Scaling for Diffusion Models beyond Scaling Denoising Stepscited by 234
  35. 2025A General Framework for Inference-time Scaling and Steering of Diffusion Modelscited by 224
  36. 2023Reduce, Reuse, Recycle: Compositional Generation with Energy-Based Diffusion Models and MCMCcited by 220
  37. 2017A Conceptual Introduction to Hamiltonian Monte Carlocited by 209
  38. 2019Scaling Autoregressive Video Modelscited by 190

50 most cited of 92 All 92 (JSON)

Built on by

Cited by year (2026 to 14 Oct)

Citing papers per year: 2025: 7; 2026: 24.

31 papers.

Sort:

By area:

  1. 2025Teaching Pretrained Language Models to Think Deeper with Retrofitted Recurrencecited by 47
  2. 2025Pre-training under infinite computecited by 29
  3. 2026Fixed-Point Reasoners: Stable and Adaptive Deep Looped Transformerscited by 28
  4. 2026Current Agents Fail to Leverage World Model as Tool for Foresightcited by 17
  5. 2026LoopUS: Recasting Pretrained LLMs into Looped Latent Refinement Modelscited by 15
  6. 2025NRGPT: An Energy-based Alternative for GPTcited by 8
  7. 2026Data-efficient pre-training by scaling synthetic megadocscited by 7
  8. 2025Learning Latent Energy-Based Models via Interacting Particle Langevin Dynamicscited by 5
  9. 2026You Don't Need Strong Assumptions: Visual Representation Learning via Temporal Differencescited by 5
  10. 2026Explorative Modeling: Unlocking a Third Pretraining Axis and End-to-End Generationcited by 4
  11. 2025Transformers as Intrinsic Optimizers: Forward Inference through the Energy Principlecited by 3
  12. 2026Towards Agentic Intelligence for Materials Sciencecited by 3
19 more
  1. 2026On the Spatiotemporal Dynamics of Generalization in Neural Networkscited by 3
  2. 2026Exploration of Fast-Slow Latent Recurrence for Train-Short, Test-Long Generalizationcited by 2
  3. 2026Energy-guided Recursive Modelcited by 2
  4. 2025Alternatives To Next Token Prediction In Text Generation -- A Surveycited by 1
  5. 2026Learning 3D Reconstruction with Priors in Test Timecited by 1
  6. 2026LLMs are not stochastic parrots: Evidence for meaning-mediated abstraction from conlang-like taskscited by 1
  7. 2025Planning as Descent: Goal-Conditioned Latent Trajectory Synthesis in Learned Energy Landscapescited by 0
  8. 2026Tutorial on Reasoning for IR & IR for Reasoningcited by 0
  9. 2026The Phase Is the Gradient: Equilibrium Propagation for Frequency Learning in Kuramoto Networkscited by 0
  10. 2026One Scale at a Time: Scale-Autoregressive Modeling for Fluid Flow Distributionscited by 0
  11. 2026Revisiting Transformer Layer Parameterization Through Causal Energy Minimizationcited by 0
  12. 2026Text Dictates, Music Decorates: Energy-based Attention for Editable Dance Motion Generationcited by 0
  13. 2026Advancing Optimal Subset Oracle via Learning Relaxation of Neural Set Functionscited by 0
  14. 2026Solver-Hard Is Not Model-Hard: A Hardness-Controlled Diagnostic for LLM Constraint Reasoningcited by 0
  15. 2026Memoir: Should a Model Write to Its Memory While It Thinks?cited by 0
  16. 2026Think in Latent, Explain in Language: Self-Explainable Latent Reasoningcited by 0
  17. 2026Revisiting Energy-based Tabular Anomaly Detection: Energy and Reconstruction are Complementarycited by 0
  18. 2026Cross-Block Conditioning in Deep Boltzmann Machines for Statistical Data Fusioncited by 0
  19. 2026Metacognitive Reasoning in Energy Based Models using Instance Based Learning Theorycited by 0

Similar, not cited

Close in wording, no citation either way

  1. 2025EBT-Policy: Energy Unlocks Emergent Physical Reasoning Capabilities
  2. 2026Reasoning as Energy Minimization over Structured Latent Trajectories
  3. 2025Learning to Rank Chain-of-Thought: Using a Small Model
  4. 2025Change of Thought: Adaptive Test-Time Computation
  5. 2025Generalizable Reasoning through Compositional Energy Minimization
  6. 2025Reasoning in Neurosymbolic AI
  7. 2026Inference Energy and Latency in AI-Mediated Education: A Learning-per-Watt Analysis of Edge and Cloud Models
  8. 2025Dissecting Transformers: A CLEAR Perspective towards Green AI