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Candidate set sampling: A note on theoretical guarantees

Published: December 12, 2025 | arXiv ID: 2512.11475v1

By: Shifeng Xiong

In this note we introduce a simple numerical sampling method, called candidate set sampling, which is based on an straightforward discretization to the density function. This method requires the knowledge of the density function (up to an unknown normalizing constant) only. Furthermore, candidate set sampling is non-iterative, dimension-free, and easy to implement, with fast convergence and low computational cost. We present its basic convergence properties in the note.

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