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Normalizing Flows: An Introduction and Review of Current Methods

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arxiv 1908.09257 v4 pith:SFKBPPCG submitted 2019-08-25 stat.ML cs.LG

Normalizing Flows: An Introduction and Review of Current Methods

classification stat.ML cs.LG
keywords flowsnormalizingreviewcurrentliteraturemodelsaroundarticle
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Normalizing Flows are generative models which produce tractable distributions where both sampling and density evaluation can be efficient and exact. The goal of this survey article is to give a coherent and comprehensive review of the literature around the construction and use of Normalizing Flows for distribution learning. We aim to provide context and explanation of the models, review current state-of-the-art literature, and identify open questions and promising future directions.

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Cited by 12 Pith papers

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

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  2. Probabilistic redshift estimation of unresolved galaxies from multi-band background light maps

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    Conditional normalising flows trained on mock multi-band images recover the redshift distribution of unresolved galaxies with sub-percent accuracy in mean and width, under idealized simulation-matched conditions.

  3. Simulation-Based Priors for HI Bias from Halo Occupation Physics

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    A conditional normalizing flow learned from two simulation suites maps HI halo-occupation parameters to EFT bias parameters, producing correlated non-Gaussian priors that are much tighter than flat priors for 21 cm analyses.

  4. Normalizing flows for density estimation in multi-detector gravitational-wave searches

    astro-ph.HE 2026-04 unverdicted novelty 6.0

    Normalizing flows replace binned histograms for estimating multi-detector signal parameters in PyCBC, slashing storage by three orders of magnitude with under 0.05% sensitivity loss and up to 6.55% gains in specific cases.

  5. Normalizing Flows on Quotient Manifolds via Boundary Quotients

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    Approximates pushforwards of distributions on lens spaces by using normalizing flows on the covering 3-sphere, deleting redundancies for symmetric cases, and demonstrates on von Mises-Fisher densities plus a Z_12-symm...

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    Flows on the two solid tori of a lens space can approximate pushforwards of S3 densities onto L(p;q), and the construction deletes distribution symmetries before training.

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    Applying the Cathode anomaly detector to Gaia DR2 via the Via Machinae 3.0 pipeline yields about 10% more high-confidence stellar stream candidates than the previous Anode-based search, including two large candidate c...

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