Physics-driven learning for inverse problems in quantum chromodynamics

G Aarts, K Fukushima, T Hatsuda, A Ipp, S Shi… - Nature Reviews …, 2025 - nature.com
The integration of deep learning techniques and physics-driven designs is reforming the
way we address inverse problems, in which accurate physical properties are extracted from …

Diffusion models for lattice gauge field simulations

Q Zhu, G Aarts, W Wang, K Zhou, L Wang - arxiv preprint arxiv …, 2024 - arxiv.org
We develop diffusion models for lattice gauge theories which build on the concept of
stochastic quantization. This framework is applied to $ U (1) $ gauge theory in $1+ 1 …

How discrete and continuous diffusion meet: Comprehensive analysis of discrete diffusion models via a stochastic integral framework

Y Ren, H Chen, GM Rotskoff, L Ying - arxiv preprint arxiv:2410.03601, 2024 - arxiv.org
Discrete diffusion models have gained increasing attention for their ability to model complex
distributions with tractable sampling and inference. However, the error analysis for discrete …

On learning higher-order cumulants in diffusion models

G Aarts, DE Habibi, L Wang, K Zhou - arxiv preprint arxiv:2410.21212, 2024 - arxiv.org
To analyse how diffusion models learn correlations beyond Gaussian ones, we study the
behaviour of higher-order cumulants, or connected n-point functions, under both the forward …

Diffusion models learn distributions generated by complex Langevin dynamics

DE Habibi, G Aarts, L Wang, K Zhou - arxiv preprint arxiv:2412.01919, 2024 - arxiv.org
The probability distribution effectively sampled by a complex Langevin process for theories
with a sign problem is not known a priori and notoriously hard to understand. Diffusion …

Renormalization group flow, optimal transport, and diffusion-based generative model

A Sheshmani, YZ You, B Buyukates, A Ziashahabi… - Physical Review E, 2025 - APS
Diffusion-based generative models represent a forefront direction in generative artificial
intelligence (AI) research today. Recent studies in physics have suggested that the …

Diffusion models and stochastic quantisation in lattice field theory

G Aarts, L Wang, K Zhou - arxiv preprint arxiv:2412.13704, 2024 - arxiv.org
Diffusion models are currently the leading generative AI approach used for image
generation in eg DALL-E and Stable Diffusion. In this talk we relate diffusion models to …

Neural network representation of quantum systems

K Hashimoto, Y Hirono, J Maeda… - arxiv preprint arxiv …, 2024 - arxiv.org
It has been proposed that random wide neural networks near Gaussian process are
quantum field theories around Gaussian fixed points. In this paper, we provide a novel map …

Fixed point actions from convolutional neural networks

K Holland, A Ipp, DI Müller, U Wenger - arxiv preprint arxiv:2311.17816, 2023 - arxiv.org
Lattice gauge-equivariant convolutional neural networks (L-CNNs) can be used to form
arbitrarily shaped Wilson loops and can approximate any gauge-covariant or gauge …

Machine-learning approaches to accelerating lattice simulations

S Lawrence - arxiv preprint arxiv:2502.02670, 2025 - arxiv.org
The last decade has seen an explosive growth of interest in exploiting developments in
machine learning to accelerate lattice QCD calculations. On the sampling side, generative …