Search Results for author: Gert Aarts

Found 8 papers, 0 papers with code

Generative Diffusion Models for Lattice Field Theory

no code implementations6 Nov 2023 Lingxiao Wang, Gert Aarts, Kai Zhou

This study delves into the connection between machine learning and lattice field theory by linking generative diffusion models (DMs) with stochastic quantization, from a stochastic differential equation perspective.

Quantization

Diffusion Models as Stochastic Quantization in Lattice Field Theory

no code implementations29 Sep 2023 Lingxiao Wang, Gert Aarts, Kai Zhou

In this work, we establish a direct connection between generative diffusion models (DMs) and stochastic quantization (SQ).

Quantization

Applications of Machine Learning to Lattice Quantum Field Theory

no code implementations10 Feb 2022 Denis Boyda, Salvatore Calì, Sam Foreman, Lena Funcke, Daniel C. Hackett, Yin Lin, Gert Aarts, Andrei Alexandru, Xiao-Yong Jin, Biagio Lucini, Phiala E. Shanahan

There is great potential to apply machine learning in the area of numerical lattice quantum field theory, but full exploitation of that potential will require new strategies.

BIG-bench Machine Learning

Towards a Shapley Value Graph Framework for Medical peer-influence

no code implementations29 Dec 2021 Jamie Duell, Monika Seisenberger, Gert Aarts, ShangMing Zhou, Xiuyi Fan

In other words, although contribution towards a certain prediction is highlighted by feature attribution methods, the relation between features and the consequence of intervention is not studied.

Explainable artificial intelligence Explainable Artificial Intelligence (XAI) +1

Quantum field theories, Markov random fields and machine learning

no code implementations21 Oct 2021 Dimitrios Bachtis, Gert Aarts, Biagio Lucini

The transition to Euclidean space and the discretization of quantum field theories on spatial or space-time lattices opens up the opportunity to investigate probabilistic machine learning within quantum field theory.

BIG-bench Machine Learning

Machine learning with quantum field theories

no code implementations16 Sep 2021 Dimitrios Bachtis, Gert Aarts, Biagio Lucini

The precise equivalence between discretized Euclidean field theories and a certain class of probabilistic graphical models, namely the mathematical framework of Markov random fields, opens up the opportunity to investigate machine learning from the perspective of quantum field theory.

BIG-bench Machine Learning

Quantum field-theoretic machine learning

no code implementations18 Feb 2021 Dimitrios Bachtis, Gert Aarts, Biagio Lucini

We derive machine learning algorithms from discretized Euclidean field theories, making inference and learning possible within dynamics described by quantum field theory.

BIG-bench Machine Learning

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