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Gradient Importance Sampling

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arxiv 1507.05781 v1 pith:XQPADCOL submitted 2015-07-21 stat.ML

classification stat.ML
keywords samplingadaptationcarlocaseergodicitygradientimportancemonte
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Adaptive Monte Carlo schemes developed over the last years usually seek to ensure ergodicity of the sampling process in line with MCMC tradition. This poses constraints on what is possible in terms of adaptation. In the general case ergodicity can only be guaranteed if adaptation is diminished at a certain rate. Importance Sampling approaches offer a way to circumvent this limitation and design sampling algorithms that keep adapting. Here I present a gradient informed variant of SMC (and its special case Population Monte Carlo) for static problems.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Hybrid Population Monte Carlo

    stat.CO 2024-12 reject novelty 6.0 of 10

    HPMC is a population Monte Carlo method whose proposal locations are generated both from resampled weighted samples and from short Hamiltonian Monte Carlo runs, then combined by resampling or a weighted mixture.

  2. Adaptive posterior distributions for uncertainty analysis of covariance matrices in Bayesian inversion problems for multioutput signals

    stat.CO 2025-01 conditional novelty 5.0 of 10

    ATAIS is an adaptive importance sampler that alternates between sampling nonlinear-model parameters and analytically updating the noise covariance matrix, then reweights old samples to approximate the joint posterior ...

  3. A Proximal Newton Adaptive Importance Sampler

    stat.CO 2024-12 conditional novelty 5.0 of 10

    PNAIS adapts importance sampling proposals using scaled Newton proximal steps, enabling efficient estimation for targets that are not differentiable.

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