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Losses that Cook: Topological Optimal Transport for Structured Recipe Generation

2026/01/01 by Mattia Ottoborgo, Daniele Rege Cambrin, Paolo Garza
Biochemistry, Genetics and Molecular Biology · Engineering · Mathematics · #Diffusion and Search Dynamics #Slime Mold and Myxomycetes Research #Stochastic processes and statistical mechanics

paper · pdf · doi:10.18653/v1/2026.findings-acl.1318

Abstract

Cooking recipes are complex procedures that require not only a fluent and factual text, but also accurate timing, temperature, and procedural coherence, as well as the correct composition of ingredients.Standard training procedures are primarily based on cross-entropy and focus solely on fluency.Building on RECIPE-NLG, we investigate the use of several composite objectives and present a new topological loss that represents ingredient lists as point clouds in embedding space, minimizing the divergence between predicted and gold ingredients.Using both standard language generation metrics and recipe-specific metrics, we find that our loss significantly improves ingredient-and actionlevel metrics.Meanwhile, the Dice loss excels in time/temperature precision, and the mixed loss yields competitive trade-offs with synergistic gains in quantity and time.A human preference analysis supports our finding, showing our model is preferred in 62% of the cases.

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