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Paper · arXiv

Neuro-Symbolic ODE Discovery with Latent Grammar Flow

Understanding natural and engineered systems often relies on symbolic formulations, such as differential equations, which provide interpretability and transferability beyond black-box models. We introduce Latent Grammar Flow (LGF), a neuro-symbolic generative framework for discovering ordinary differential equations from data. LGF embeds equations as grammar-based representations into a discrete latent space and forces semantically similar equations to be positioned closer together with a behavioural loss. Then, a discrete flow model guides the sampling process to recursively generate candidate equations that best fit the observed data. Domain knowledge and constraints, such as stability,...

AuthorsKarin Yu, Eleni Chatzi, Georgios Kissas
Primary categorycs.LG
Published17 April 2026
Last updated at source13 July 2026
cs.LGcs.AIcs.CEcs.SC
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