One-Shot Localisation of the Global Minimum of a Noisy One-Dimensional Function: An Iterative Neural Minimizer Compared with Set Transformers and Classical Estimators
Read the original on arXiv AI →The paper introduces the Neural Function Minimizer (NFM), an iterative neural model that predicts the global minimum of a noisy one‑dimensional function from only twenty samples. It compares the NFM to two Set Transformers and classical zero‑query estimators, finding that all learned models outperform classical methods on held‑out data, with the NFM achieving the lowest error relative to the Gaussian‑process posterior argmin. The study also examines how different estimator outputs affect tie‑breaking between equally deep valleys and plans to release a benchmark and self‑checking harness.
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