mlsanityData to 14 Oct 2026

Thermodynamic AI and the fluctuation frontier

arXiv 2302.06584 ↗First posted 9 Feb 2023cs.ET cs.AI quant-phcited by 15

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Abstract (arXiv)

Many Artificial Intelligence (AI) algorithms are inspired by physics and employ stochastic fluctuations. We connect these physics-inspired AI algorithms by unifying them under a single mathematical framework that we call Thermodynamic AI. Seemingly disparate algorithmic classes can be described by this framework, for example, (1) Generative diffusion models, (2) Bayesian neural networks, (3) Monte Carlo sampling and (4) Simulated annealing. Such Thermodynamic AI algorithms are currently run on digital hardware, ultimately limiting their scalability and overall potential. Stochastic fluctuations naturally occur in physical thermodynamic systems, and such fluctuations can be viewed as a computational resource. Hence, we propose a novel computing paradigm, where software and hardware become inseparable. Our algorithmic unification allows us to identify a single full-stack paradigm, involving Thermodynamic AI hardware, that could accelerate such algorithms. We contrast Thermodynamic AI hardware with quantum computing where noise is a roadblock rather than a resource. Thermodynamic AI hardware can be viewed as a novel form of computing, since it uses a novel fundamental building block. We identify stochastic bits (s-bits) and stochastic modes (s-modes) as the respective building blocks for discrete and continuous Thermodynamic AI hardware. In addition to these stochastic units, Thermodynamic AI hardware employs a Maxwell's demon device that guides the system to produce non-trivial states. We provide a few simple physical architectures for building these devices and we develop a formalism for programming the hardware via gate sequences. We hope to stimulate discussion around this new computing paradigm. Beyond acceleration, we believe it will impact the design of both hardware and algorithms, while also deepening our understanding of the connection between physics and intelligence.

Key facts. Cited by 15 papers in the map (data through 14 Oct 2026). Builds on 31 of its 114 references that are in the map. First posted on arXiv 9 Feb 2023.

Builds on

31 of 114 references.

References · 31

  1. 2020Denoising Diffusion Probabilistic Modelscited by 21,076
  2. 2021High-Resolution Image Synthesis with Latent Diffusion Modelscited by 18,863
  3. 2020Score-Based Generative Modeling through Stochastic Differential Equationscited by 9,122
  4. 2015Deep Unsupervised Learning using Nonequilibrium Thermodynamicscited by 7,058
  5. 2021Zero-Shot Text-to-Image Generationcited by 4,288
  6. 2018Neural Ordinary Differential Equationscited by 3,779
  7. 2021Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gaugescited by 1,167
  8. 2022Diffusion Models in Vision: A Surveycited by 1,015
  9. 2020Neural Controlled Differential Equations for Irregular Time Seriescited by 506
  10. 2014Stochastic Gradient Hamiltonian Monte Carlocited by 343
  11. 2021What Are Bayesian Neural Network Posteriors Really Like?cited by 308
  12. 2021Crystal Diffusion Variational Autoencoder for Periodic Material Generationcited by 270
19 more
  1. 2022The Forward-Forward Algorithm: Some Preliminary Investigationscited by 266
  2. 2022Structure-based Drug Design with Equivariant Diffusion Modelscited by 217
  3. 2017A Conceptual Introduction to Hamiltonian Monte Carlocited by 209
  4. 2020Noise-Induced Barren Plateaus in Variational Quantum Algorithmscited by 193
  5. 2020The Hardware Lotterycited by 160
  6. 2020Bayesian Neural Networks: An Introduction and Surveycited by 131
  7. 2021Deep physical neural networks enabled by a backpropagation algorithm for arbitrary physical systemscited by 128
  8. 2022Theory for Equivariant Quantum Neural Networkscited by 62
  9. 2022Group-Invariant Quantum Machine Learningcited by 56
  10. 2021Infinitely Deep Bayesian Neural Networks with Stochastic Differential Equationscited by 38
  11. 2021Massively Parallel Probabilistic Computing with Sparse Ising Machinescited by 25
  12. 2022Stochastic noise can be helpful for variational quantum algorithmscited by 16
  13. 2021Can Error Mitigation Improve Trainability of Noisy Variational Quantum Algorithms?cited by 14
  14. 2019Thermodynamic Computingcited by 13
  15. 2018TherML: Thermodynamics of Machine Learningcited by 9
  16. 2019Thermodynamic Neural Networkcited by 9
  17. 2021High-quality Thermal Gibbs Sampling with Quantum Annealing Hardwarecited by 9
  18. 2020Thermodynamic Machine Learning through Maximum Work Productioncited by 3
  19. 2019An approximate Ito-SDE based simulated annealing algorithm for multivariate design optimization problemscited by 1

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Citing papers per year: 2023: 6; 2024: 3; 2025: 3; 2026: 3.

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  1. 2025Generative thermodynamic computing
  2. 2025Scalable Thermodynamic Second-order Optimization
  3. 2025Training thermodynamic computers by gradient descent
  4. 2025Physics-inspired Generative AI models via real hardware-based noisy quantum diffusion
  5. 2026Bridging Control, Inference, Transport, and Thermodynamics: From Theory to Applications in Learning
  6. 2025A Stochastic Quantum Neural Network Model for Ai ↗
  7. 2025Learning Stochastic Thermodynamics Directly from Correlation and Trajectory-Fluctuation Currents
  8. 2024Mixing Artificial and Natural Intelligence: From Statistical Mechanics to AI and Back to Turbulence