Uniform Sampling over Level Sets

In this thesis, we present an MCMC-based method to extract near-uniform samples from a level set of a provided function 𝑓 : Rᵈ → Rᵏ . We propose a sequence of unnormalized distributions over Rᵈ with asymptotic convergence to the Hausdorff measure of the level set, therefore resulting in uniform samp...

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Bibliographic Details
Main Author: Chiu, Erica
Other Authors: Solomon, Justin
Format: Thesis
Published: Massachusetts Institute of Technology 2022
Online Access:https://hdl.handle.net/1721.1/144987