{"slug": "unifying-generative-models-with-path-integrals", "title": "Unifying Generative Models with Path Integrals", "summary": "A new arXiv paper (2608.12438v1) formulates generative modeling as a path integral, unifying flow-based, diffusion-based, variational, and adversarial models under a single master action. The approach yields a one-loop correction that reduces a 53% tree-level error to 1.6% on solvable and nonlinear drifts, and introduces a response-weighted score-matching objective for imperfect learned scores.", "body_md": "arXiv:2608.12438v1 Announce Type: new\nAbstract: We formulate generative modeling as a path integral in which flow-based, diffusion-based, variational, and adversarial models arise as different evaluation principles for a single master action. Its Martin-Siggia-Rose-Janssen-de~Dominicis (MSRJD) form separates free from interacting probability flows and opens them to diagrammatic perturbation theory. The expansion yields a one-loop correction to deterministic samplers at no stochastic-sampling cost, which we validate on solvable and nonlinear drifts, where it reduces a 53 % tree-level error to 1.6 %. Imperfect learned scores enter as insertions and yield a response-weighted score-matching objective, and symmetry-equivariant drift design becomes an operator expansion with EFT power counting.", "url": "https://wpnews.pro/news/unifying-generative-models-with-path-integrals", "canonical_source": "https://arxiv.org/abs/2608.12438", "published_at": "2026-08-14 04:00:00+00:00", "updated_at": "2026-08-14 04:15:42.114630+00:00", "lang": "en", "topics": ["artificial-intelligence", "machine-learning", "generative-ai", "ai-research"], "entities": ["arXiv"], "alternates": {"html": "https://wpnews.pro/news/unifying-generative-models-with-path-integrals", "markdown": "https://wpnews.pro/news/unifying-generative-models-with-path-integrals.md", "text": "https://wpnews.pro/news/unifying-generative-models-with-path-integrals.txt", "jsonld": "https://wpnews.pro/news/unifying-generative-models-with-path-integrals.jsonld"}}