Physics-driven learning for inverse problems in quantum chromodynamics
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 …
way we address inverse problems, in which accurate physical properties are extracted from …
Diffusion models for lattice gauge field simulations
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 …
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
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 …
distributions with tractable sampling and inference. However, the error analysis for discrete …
On learning higher-order cumulants in diffusion models
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 …
behaviour of higher-order cumulants, or connected n-point functions, under both the forward …
Diffusion models learn distributions generated by complex Langevin dynamics
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 …
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
Diffusion-based generative models represent a forefront direction in generative artificial
intelligence (AI) research today. Recent studies in physics have suggested that the …
intelligence (AI) research today. Recent studies in physics have suggested that the …
Diffusion models and stochastic quantisation in lattice field theory
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 …
generation in eg DALL-E and Stable Diffusion. In this talk we relate diffusion models to …
Neural network representation of quantum systems
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 …
quantum field theories around Gaussian fixed points. In this paper, we provide a novel map …
Fixed point actions from convolutional neural networks
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 …
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 …
machine learning to accelerate lattice QCD calculations. On the sampling side, generative …