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arxiv 2312.03911 v1 pith:RHJJOY7D submitted 2023-12-06 cs.LG stat.COstat.MEstat.ML

Improving Gradient-guided Nested Sampling for Posterior Inference

classification cs.LG stat.COstat.MEstat.ML
keywords samplingnestedcombinationcombiningggnsgradient-guidedmodeposterior
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We present a performant, general-purpose gradient-guided nested sampling algorithm, ${\tt GGNS}$, combining the state of the art in differentiable programming, Hamiltonian slice sampling, clustering, mode separation, dynamic nested sampling, and parallelization. This unique combination allows ${\tt GGNS}$ to scale well with dimensionality and perform competitively on a variety of synthetic and real-world problems. We also show the potential of combining nested sampling with generative flow networks to obtain large amounts of high-quality samples from the posterior distribution. This combination leads to faster mode discovery and more accurate estimates of the partition function.

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