Generative AI for material design: A mechanics perspective from burgers to matter

Abstract

Generative artificial intelligence offers a new paradigm to design matter in high-dimensional spaces. However, its underlying mechanisms remain difficult to interpret and limit adoption in computational mechanics. This gap is striking because its core tools – diffusion, stochastic differential equations, and inverse problems – are fundamental to the mechanics of materials. Here we show that diffusion-based generative AI and computational mechanics are rooted in the same principles. We illustrate this connection using a three-ingredient burger as a minimal benchmark for material design in a low-dimensional space, where both forward and reverse diffusion admit analytical solutions: Markov chains with Bayesian inversion in the discrete case and the Ornstein–Uhlenbeck process with score-based reversal in the continuous case. In both cases, forward diffusion adds noise to degrade structure, while reverse diffusion recovers structure from noise. We extend this framework to a high-dimensional design space with 146 ingredients and 8.9(Formula presented) possible configurations, where analytical solutions become intractable. We therefore learn the discrete and continuous reverse processes using neural network models that infer inverse dynamics from data. We train the models on only 2260 recipes and generate one million samples that capture the statistical structure of the data, including ingredient prevalence and quantitative composition. We further generate five new burgers and validate them in a blinded restaurant-based sensory study with n = 101 participants, where three of the AI-designed burgers outperform the classical BigMac in overall liking, flavor, and texture. These results establish diffusion-based generative modeling as a physically grounded approach to design in high-dimensional spaces. They position generative AI as a natural extension of computational mechanics, with applications from burgers to matter, and establish a path towards data-driven, physics-informed generative design. Our source code, data, and examples are available at https://github.com/LivingMatterLab/AI4Food.