Thermodynamic AI and the fluctuation frontier
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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
- 2020Denoising Diffusion Probabilistic Modelscited by 21,076
- 2021High-Resolution Image Synthesis with Latent Diffusion Modelscited by 18,863
- 2020Score-Based Generative Modeling through Stochastic Differential Equationscited by 9,122
- 2015Deep Unsupervised Learning using Nonequilibrium Thermodynamicscited by 7,058
- 2021Zero-Shot Text-to-Image Generationcited by 4,288
- 2018Neural Ordinary Differential Equationscited by 3,779
- 2021Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gaugescited by 1,167
- 2022Diffusion Models in Vision: A Surveycited by 1,015
- 2020Neural Controlled Differential Equations for Irregular Time Seriescited by 506
- 2014Stochastic Gradient Hamiltonian Monte Carlocited by 343
- 2021What Are Bayesian Neural Network Posteriors Really Like?cited by 308
- 2021Crystal Diffusion Variational Autoencoder for Periodic Material Generationcited by 270
19 more
- 2022The Forward-Forward Algorithm: Some Preliminary Investigationscited by 266
- 2022Structure-based Drug Design with Equivariant Diffusion Modelscited by 217
- 2017A Conceptual Introduction to Hamiltonian Monte Carlocited by 209
- 2020Noise-Induced Barren Plateaus in Variational Quantum Algorithmscited by 193
- 2020The Hardware Lotterycited by 160
- 2020Bayesian Neural Networks: An Introduction and Surveycited by 131
- 2021Deep physical neural networks enabled by a backpropagation algorithm for arbitrary physical systemscited by 128
- 2022Theory for Equivariant Quantum Neural Networkscited by 62
- 2022Group-Invariant Quantum Machine Learningcited by 56
- 2021Infinitely Deep Bayesian Neural Networks with Stochastic Differential Equationscited by 38
- 2021Massively Parallel Probabilistic Computing with Sparse Ising Machinescited by 25
- 2022Stochastic noise can be helpful for variational quantum algorithmscited by 16
- 2021Can Error Mitigation Improve Trainability of Noisy Variational Quantum Algorithms?cited by 14
- 2019Thermodynamic Computingcited by 13
- 2018TherML: Thermodynamics of Machine Learningcited by 9
- 2019Thermodynamic Neural Networkcited by 9
- 2021High-quality Thermal Gibbs Sampling with Quantum Annealing Hardwarecited by 9
- 2020Thermodynamic Machine Learning through Maximum Work Productioncited by 3
- 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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- 2024Training of Physical Neural Networkscited by 49
- 2023Training an Ising Machine with Equilibrium Propagationcited by 29
- 2023Training Deep Boltzmann Networks with Sparse Ising Machinescited by 24
- 2023Thermodynamic Computing System for AI Applicationscited by 16
- 2023Thermodynamic Computing via Autonomous Quantum Thermal Machinescited by 5
- 2024Thermodynamic Natural Gradient Descentcited by 4
- 2024Thermodynamic Bayesian Inferencecited by 2
- 2026A Blueprint for Equilibrium-Based Differentiable Continuous-Variable Thermodynamic Computingcited by 2
- 2023Restrictions on Physical Stochastic Reservoir Computerscited by 1
- 2023Sub-universal variational circuits for combinatorial optimization problemscited by 1
- 2026Physical Foundation Models: Fixed hardware implementations of large-scale neural networkscited by 1
- 2025Agentic Information Theory: Ergodicity and Intrinsic Semantics of Information Processescited by 0
3 more
- 2026CN101 - A Digital Thermodynamic Computer for Generative AI1 Aug 2026
- 2026A Blueprint for Equilibrium-Based Differentiable Continuous-Variable Thermodynamic Computing17 Jul 2026
- 2026Physical Foundation Models: Fixed hardware implementations of large-scale neural networks30 Apr 2026
- 2025Learning with springs and sticks26 Aug 2025
- 2025Thermodynamics-Inspired Computing with Oscillatory Neural Networks for Inverse Matrix Computation30 Jul 2025
- 2025Agentic Information Theory: Ergodicity and Intrinsic Semantics of Information Processes25 May 2025
- 2024Thermodynamic Bayesian Inference2 Oct 2024
- 2024Training of Physical Neural Networks5 Jun 2024
- 2024Thermodynamic Natural Gradient Descent22 May 2024
- 2023Thermodynamic Computing System for AI Applications8 Dec 2023
- 2023Thermodynamic Computing via Autonomous Quantum Thermal Machines30 Aug 2023
- 2023Sub-universal variational circuits for combinatorial optimization problems29 Aug 2023
3 more
- 2023Restrictions on Physical Stochastic Reservoir Computers26 Jul 2023
- 2023Training an Ising Machine with Equilibrium Propagation22 May 2023
- 2023Training Deep Boltzmann Networks with Sparse Ising Machines19 Mar 2023
- 2024Training of Physical Neural Networkscited by 49
- 2023Training an Ising Machine with Equilibrium Propagationcited by 29
- 2023Training Deep Boltzmann Networks with Sparse Ising Machinescited by 24
- 2023Thermodynamic Computing System for AI Applicationscited by 16
- 2023Thermodynamic Computing via Autonomous Quantum Thermal Machinescited by 5
- 2024Thermodynamic Natural Gradient Descentcited by 4
- 2024Thermodynamic Bayesian Inferencecited by 2
- 2026A Blueprint for Equilibrium-Based Differentiable Continuous-Variable Thermodynamic Computingcited by 2
- 2023Restrictions on Physical Stochastic Reservoir Computerscited by 1
- 2023Sub-universal variational circuits for combinatorial optimization problemscited by 1
- 2026Physical Foundation Models: Fixed hardware implementations of large-scale neural networkscited by 1
- 2025Thermodynamics-Inspired Computing with Oscillatory Neural Networks for Inverse Matrix Computationcited by 0
12 most cited of 14 All 14 (JSON)
- 2026CN101 - A Digital Thermodynamic Computer for Generative AI1 Aug 2026
- 2026A Blueprint for Equilibrium-Based Differentiable Continuous-Variable Thermodynamic Computing17 Jul 2026
- 2026Physical Foundation Models: Fixed hardware implementations of large-scale neural networks30 Apr 2026
- 2025Learning with springs and sticks26 Aug 2025
- 2025Thermodynamics-Inspired Computing with Oscillatory Neural Networks for Inverse Matrix Computation30 Jul 2025
- 2024Thermodynamic Bayesian Inference2 Oct 2024
- 2024Training of Physical Neural Networks5 Jun 2024
- 2024Thermodynamic Natural Gradient Descent22 May 2024
- 2023Thermodynamic Computing System for AI Applications8 Dec 2023
- 2023Thermodynamic Computing via Autonomous Quantum Thermal Machines30 Aug 2023
- 2023Sub-universal variational circuits for combinatorial optimization problems29 Aug 2023
- 2023Restrictions on Physical Stochastic Reservoir Computers26 Jul 2023
12 newest of 14 All 14 (JSON)
Similar, not cited
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- 2025Learning Stochastic Thermodynamics Directly from Correlation and Trajectory-Fluctuation Currents
- 2024Mixing Artificial and Natural Intelligence: From Statistical Mechanics to AI and Back to Turbulence