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Neural Density Estimation and Likelihood-free Inference

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arxiv 1910.13233 v1 pith:IQ6OBXIQ submitted 2019-10-29 stat.ML cs.LG

classification stat.MLcs.LG
keywords densityestimationinferenceknownlearninglikelihood-freeneuralproblem
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I consider two problems in machine learning and statistics: the problem of estimating the joint probability density of a collection of random variables, known as density estimation, and the problem of inferring model parameters when their likelihood is intractable, known as likelihood-free inference. The contribution of the thesis is a set of new methods for addressing these problems that are based on recent advances in neural networks and deep learning.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 8 citations worldwide. Full citation record

  1. A Convex Approximation Framework for Neural Likelihood-Based Bayesian Inverse Problems

    stat.ML 2026-07 conditional novelty 7.0 of 10

    By folding normalization into a KL-based objective over un-normalized potentials, neural likelihood approximation becomes a strictly convex problem with provable consistency.

  2. Search for new scalars via $X \rightarrow SH \rightarrow b\bar{b}b\bar{b}$ in proton-proton collisions at $\sqrt{s} = 13$ TeV with the ATLAS detector

    hep-ex 2026-07 accept novelty 6.0 of 10

    No excess over background is found in ATLAS's first search for X→SH→4b, which sets 95% CL upper limits of 0.7 fb–2.6 pb on the production cross-section times branching ratio.

  3. Implicit Likelihood Inference of the Neutrino Mass Hierarchy from Cosmological Data

    astro-ph.CO 2025-12 conditional novelty 4.0 of 10

    A simulation-based neural-likelihood analysis of Planck 2018 and DESI DR2 data reports a weak preference (tilde_Delta = 0.12, 68% CL interval spanning both signs) for the normal neutrino mass hierarchy.

  4. Position: The Future of Bayesian Prediction Is Prior-Fitted

    cs.LG 2025-05 conditional novelty 4.0 of 10

    PFNs, which amortize Bayesian inference by training on datasets sampled from a prior, are likely to supersede MCMC and variational inference for most prediction tasks, the authors argue.

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