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Unsatz: Evaluating Scientific Discovery Without a Given Ansatz

arXiv机器学习 2026-10-31 12:52 15 阅读 查看原文

Before a scientist fits any parameter, they must decide what the model contains: which quantities exist, which are hidden, how they interact, and how they are measured. Physicists call such a trial form an ansatz. Benchmarks for automated equation discovery mostly supply it, by fixing the variables, a library of candidate terms, or a law to be modified.

We introduce Unsatz, a benchmark in which an LLM agent must construct the ansatz itself.

Each task is a simulated system, generated from a private seed as a program in a small modeling language: ordinary, delay, or partial differential equations, discrete maps, static and causal models, or