Pith Number

pith:KSHKSRA6

pith:2016:KSHKSRA6DDLBWYVGHB4MA5O65E

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Density estimation using Real NVP

Jascha Sohl-Dickstein, Laurent Dinh, Samy Bengio

Real NVP transformations provide invertible mappings that make density estimation tractable with exact likelihood computation, sampling, and latent inference.

arxiv:1605.08803 v3 · 2016-05-27 · cs.LG · cs.AI · cs.NE · stat.ML

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C1strongest claim

We extend the space of such models using real-valued non-volume preserving (real NVP) transformations, a set of powerful invertible and learnable transformations, resulting in an unsupervised learning algorithm with exact log-likelihood computation, exact sampling, exact inference of latent variables, and an interpretable latent space.

C2weakest assumption

That the chosen affine coupling layers and neural-network parameterizations are expressive enough to capture the high-dimensional structure of natural images without requiring prohibitive depth or width.

C3one line summary

Real NVP uses affine coupling layers to create invertible transformations that support exact density estimation, sampling, and latent inference without approximations.

References

71 extracted · 71 resolved · 16 Pith anchors

[1] TensorFlow: Large-Scale Machine Learning on Heterogeneous Distributed Systems 2016 · arXiv:1603.04467

[2] Understanding symmetries in deep networks 2015 · arXiv:1511.01029

[3] Density modeling of images using a generalized normalization transformation 2015

[4] An information-maximization approach to blind separation and blind deconvolution 1995

[5] Artiﬁcial neural networks and their application to sequence recognition 1991

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Cited by

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First computed	2026-07-04T21:47:27.716279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

548ea9441e18d61b62a63878c075dee904f082a417ae46ffe5e65ea8d6abed5e

Aliases

arxiv: 1605.08803 · arxiv_version: 1605.08803v3 · doi: 10.48550/arxiv.1605.08803 · pith_short_12: KSHKSRA6DDLB · pith_short_16: KSHKSRA6DDLBWYVG · pith_short_8: KSHKSRA6

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curl -sH 'Accept: application/ld+json' https://pith.science/pith/KSHKSRA6DDLBWYVGHB4MA5O65E \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 548ea9441e18d61b62a63878c075dee904f082a417ae46ffe5e65ea8d6abed5e

Canonical record JSON

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    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2016-05-27T21:24:32Z",
    "title_canon_sha256": "5e09c8168f9e184cd9b4b962a12d2ed3900dcc804fb67834a83e67215a7202f1"
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