Pith. sign in

REVIEW 3 major objections 6 minor 41 references

Video Compression With Rate-Distortion Autoencoders

T0 review · 3 major / 6 minor · reviewed 2026-08-14 · deepseek-v4-flash

Pith's one-line read A learned video compressor built from a 3D autoencoder and an autoregressive prior matches H.265/HEVC without motion compensation or interpolation.

desk verdict Clean, simple learned video codec with an overreaching comparison claim - worth refereeing, but the SOTA result needs the missing baselines. read the letter →

arxiv 1908.05717 v2 pith:A3AGG4K2 submitted 2019-08-14 eess.IV cs.LGstat.ML

classification eess.IVcs.LGstat.ML
keywords learnedvideocompressionrate-distortionautoencoderautoregressiveprior3Dconvolutionsdiscretelatentspacesemanticadaptivemultimodal
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

This paper argues that a fairly simple learned model—a 3D convolutional autoencoder with a discrete latent space plus an autoregressive prior—can serve as a competitive lossy video codec. The authors train encoder, decoder, and prior jointly to minimize a rate-distortion loss that they identify with a variational-autoencoder ELBO with a deterministic encoder. Their best configuration outperforms previous learned video compression methods that use motion compensation or frame interpolation, and reaches rate-distortion performance on par with H.265/HEVC under default settings. The same model, with only loss-weighting changes, supports semantic, adaptive, and multimodal compression, which classical codecs cannot easily do.

What carries the argument

The load-bearing object is the rate-distortion autoencoder: an encoder that maps an 8-frame, 160x160 RGB chunk to a discrete latent tensor (32 channels, 8x spatial downsampling, learned codebook of L centers), a decoder that reconstructs from quantized latents, and an autoregressive code model p(z) that estimates the per-symbol distribution for adaptive arithmetic coding. The prior is a gated PixelCNN, optionally conditioned on the previous latent frame or on a Conv-GRU state. Training minimizes L = E[-log p(x|z) - beta log p(z)], with MS-SSIM as distortion and cross-entropy as rate; the encoder gradients pass through the code model, so the encoder learns to produce latents the prior can predict cheaply.

What would settle it

Run the trained adaptive arithmetic coder on the quantized latents for the UVG test clips at each beta value, tally the actual bitstream bytes, and compare the resulting bpp with the reported -log p(z) rate loss; if actual bpp is consistently higher, the curves shift right and the claimed parity with H.265/HEVC weakens.

Watch

Extended reading notes

Core claim

The central claim is that lossy video compression can be framed as learning a discrete latent-variable model, with the encoder producing a quantized code and an autoregressive prior providing the bitrate; optimizing the cross-entropy-based rate plus an MS-SSIM distortion term is the right training objective. The authors show that, unlike ordinary VAEs, a deterministic encoder is preferable for lossy compression because bits-back coding, which would refund the encoder's entropy, is unavailable, so any stochasticity only adds rate without improving distortion. Their best model uses a ResNet-style autoencoder with 3D convolutions over 8-frame chunks and a gated PixelCNN prior conditioned on the previous latent frame; it outperforms learned baselines based on flow and interpolation, and is on par with H.265/HEVC in default FFmpeg settings. They further argue that the same architecture enables semantic bit allocation, domain fine-tuning, and joint compression of multiple camera modalities.

Load-bearing premise

Every reported bitrate for the proposed method is the cross-entropy rate loss, not a measured arithmetic-coded bitstream, so the rate-distortion comparison against H.265/HEVC assumes the entropy coder is efficient enough that the proxy matches real bpp.

Editorial extensions

If this is right

  • Because the 3D autoencoder alone removes most temporal redundancy, the autoregressive prior can be a simple frame-conditioned PixelCNN; latency-sensitive applications can trade a bit of rate for a much cheaper prior.
  • Learned codecs need not include flow estimation, interpolation, or residual coding to beat other learned methods; this lowers the engineering barrier for learned video compression.
  • Semantic compression lets a codec spend bits where visual tasks care about them, reversing the usual quality gap between foreground and background.
  • Domain adaptation by fine-tuning a pretrained compressor yields large rate-distortion gains on predictable footage such as autonomous-driving video.
  • Joint compression of synchronized multi-view video with a single network outperforms compressing each view separately with H.265/H.264, by exploiting inter-view redundancy.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • If the rate-loss proxy is replaced by actual arithmetic-coded bitstream lengths, the reported curves could shift; a fair comparison to H.265/HEVC should be re-run with measured bytes, since the paper's own supplementary notes that rate loss is only a proxy.
  • The semantic weighting recipe suggests a general plug-in: any per-pixel importance mask obtained from a detector or saliency model can be folded into the rate and distortion losses, which would let codecs be tuned for faces, text, or object-detection performance rather than raw MS-SSIM.
  • The success of 3D convolutions at temporal decorrelation hints that longer chunks or higher resolutions may shift the trade-off further toward the autoencoder and away from the prior; this is a testable scaling prediction the paper does not make.
  • The multimodal result implies that the same architecture could jointly compress RGB+depth or stereo pairs, where classical codecs would need separate streams; the gain should depend on how well the modalities are aligned.
Share X Bluesky LinkedIn Reddit HN

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

3 major / 6 minor

Summary. The paper presents a deep generative approach to lossy video compression based on a 3D autoencoder with a discrete latent space and an autoregressive prior (gated PixelCNN) trained jointly with a rate-distortion loss. The method is evaluated on standard and internal datasets, with ablations over autoencoder and prior variants, and comparisons to classical codecs (H.264/AVC, H.265/HEVC) and two learned video codecs. The authors report that their best model outperforms the learned baselines and approaches H.265/HEVC under default settings. The paper also introduces three extensions: semantic compression, where rate and distortion losses are weighted by object importance; adaptive compression, where a pretrained model is fine-tuned to a target domain; and multimodal compression, where multiple camera streams are compressed jointly. A theoretical section derives the rate-distortion loss from the variational bound and argues for deterministic encoders in lossy compression.

Significance. If the reported results are substantiated, the paper offers a simple and theoretically grounded baseline for learned video compression and demonstrates useful practical extensions. The ablations are informative, the extensions are novel, and the theoretical clarification of the relation between rate-distortion autoencoders and VAEs is a useful contribution. The main weaknesses are the incomplete set of learned baselines used for comparison and the reliance on an expected-rate proxy instead of actual bitstream lengths, both of which affect the headline comparative claims. These issues are addressable but require additional experimental evidence.

major comments (3)
  1. [5.4, Figure 6; Section 2] The claim that the method outperforms the state-of-the-art learned video codecs is supported only by comparisons to Wu et al. [40] and Lu et al. [27], with curves taken from their respective papers. The related work (Section 2) also cites Rippel et al. [33] and Han et al. [15] as recent learned video compression methods, but neither is included in Figure 6. The paper does not report the evaluation protocol for the baselines (number of UVG frames used, whether the full 3900 frames or a subset were evaluated, the preprocessing, or the exact MS-SSIM implementation), and no code or bitstreams are released. Because the headline conclusion depends on this comparison, the authors should include the missing baselines or justify their exclusion, and document the evaluation conditions for every compared method.
  2. [Supplementary C.3] All reported bitrates for the proposed method are computed from the cross-entropy rate loss converted to bpp, rather than from the actual lengths of the arithmetic-coded bitstream, while the H.264/H.265 bitrates are obtained from actual compressed file sizes. The paper states that this proxy is justified by a high correlation with actual bpp (citing [27]) but provides no measurements for its own model. If the arithmetic coder is less efficient than the entropy bound, the rate-distortion curves in Figures 6 and 11 would shift and the conclusion that the method is on par with H.265/HEVC could change. Please report actual bitstream lengths on the evaluation datasets, or at least a comparison of expected versus actual rates.
  3. [4.1, 5.1, 5.4] The evaluation procedure on UVG is underspecified. The model is described as processing crops fixed to 160x160 (Section 4.1), yet UVG frames are 1920x1080. The paper does not state whether full frames were processed, how the fully convolutional network was applied at full resolution, or how the rate was accumulated over each sequence. This ambiguity directly affects the bpp values in Figure 6 and the comparison with the baselines. Please specify the exact test-time procedure: full-frame processing, tiling, or cropping, and the number of frames evaluated per sequence.
minor comments (6)
  1. [Abstract] The phrase 'we present a a deep generative model' contains a duplicated article.
  2. [4.4] The word 'en-ncoder' should be 'encoder', and 'bitstreambj' should be 'bitstream bj'.
  3. [4.2] The codebook size L is defined but its numeric value is never reported. Please state L and, if available, its effect on rate-distortion performance.
  4. [Supplementary D.1] The sentence 'for bitrates higher than 1.2 bpp' appears to be a typo for '0.12 bpp'; as written it is inconsistent with Figure 11.
  5. [5.1] The Dynamics dataset is described as internal and is not publicly available; please state its availability or provide additional details to allow reproducibility of the adaptive compression results.
  6. [5.7] The word 'monocluar' should be 'monocular'.

Circularity Check

0 steps flagged · score 0.0 of 10

No circularity: the paper's rate-distortion derivation and evaluations are self-contained and anchored to external benchmarks.

full rationale

The paper's central theoretical derivation, from the variational bound to the rate-distortion loss L(x) = E_q[-log p(x|z) - beta log p(z)], is a standard and self-contained argument: it starts from the intractable log-likelihood, introduces an approximate posterior, explains why the cross-entropy rather than the KL is the correct rate term for lossy compression, and justifies the use of a deterministic encoder by the absence of bits-back coding. No step in this chain defines rate or distortion in terms of the final experimental comparison, and no fitted parameter is later renamed as a prediction. The main experimental claims are comparisons against external, non-learned codecs (H.264/AVC, H.265/HEVC) and previously published learned methods (Lu et al., Wu et al.), using rate-distortion curves that come from independent papers. The paper explicitly uses the cross-entropy rate loss as a proxy for actual bitrate (Supplementary C.3), which is an engineering approximation, not a circularity: the rate loss is a well-defined information-theoretic quantity computed from the model, not fitted to the benchmark. The ablations and extensions (semantic, adaptive, multimodal) are evaluated by training on specified datasets and testing on held-out data, again against external codecs. There is no use of a self-citation as load-bearing evidence, no uniqueness theorem imported from the authors' prior work, and no ansatz smuggled in via citation. The claimed limitation that learned methods do not yet beat traditional codecs under optimal settings is stated honestly and does not indicate circular reasoning. Overall, the derivation chain is self-contained and the experimental protocol, while it has reproducibility caveats regarding baseline curves, is not circular.

Assumptions & free parameters 3 free parameters · 5 assumptions · 0 invented entities

The central claim rests on standard variational math plus domain assumptions about the evaluation metrics and the rate proxy. The main fitted quantities are the hand-chosen tradeoff weights beta and alpha, and the undocumented codebook size L.

free parameters (3)
  • beta (rate-distortion tradeoff) = 0.03, 0.05, 0.1, 0.3, 0.5, 0.7 on UVG; 0.1, 0.3, 0.5, 0.7 elsewhere
    Weight balancing distortion and rate in Eq. 4. Swept by hand to produce rate-distortion curves; the reported curves are parameterized by this choice.
  • alpha (semantic weighting) = 0.95
    Foreground weight in the semantic compression loss (Section 5.5). Chosen without a reported search; affects the foreground/background quality tradeoff.
  • codebook size L = not reported in main text
    Number of centers in the learned quantization codebook (Section 4.2). The paper never states L in the main text, so the central result depends on an undocumented hyperparameter.
assumptions (5)
  • standard math Variational bound and cross-entropy as coding cost (Section 3)
    The rate-distortion loss is derived from the standard variational bound and the interpretation of cross-entropy as expected coding cost.
  • domain assumption MS-SSIM is a valid distortion measure for optimization and evaluation (Section 4.4)
    The model is trained and evaluated with MS-SSIM; the paper assumes higher MS-SSIM reflects better perceptual quality, and uses the same metric for both loss and reporting.
  • domain assumption Cross-entropy rate loss is an accurate proxy for the arithmetic-coded bitstream length (Supplementary C.3)
    All reported bpp values for the proposed method are the rate loss, not measured bitstream lengths; the paper asserts high correlation without reporting a measured comparison.
  • domain assumption Training on downscaled Kinetics transfers to test datasets (Section 5.1)
    The model is trained on Kinetics crops and evaluated on UVG, SDV, and other sets; generalization is assumed despite domain differences.
  • standard math Straight-through gradient estimation of the quantizer yields valid training (Section 4.2, Eq. 5)
    The argmin quantization is made differentiable by substituting a softmax gradient; this is a standard but unproved approximation that is assumed to work in practice.

how reviews work

0 comments
Cite this review

Pith. "Pith review of Video Compression With Rate-Distortion Autoencoders." pith.science (2026). https://pith.science/paper/A3AGG4K2

@misc{pith2026190805717,
  author       = {Pith},
  title        = {Pith review of: Video Compression With Rate-Distortion Autoencoders},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/A3AGG4K2}},
  note         = {Machine review of arXiv:1908.05717}
}
read the original abstract

In this paper we present a a deep generative model for lossy video compression. We employ a model that consists of a 3D autoencoder with a discrete latent space and an autoregressive prior used for entropy coding. Both autoencoder and prior are trained jointly to minimize a rate-distortion loss, which is closely related to the ELBO used in variational autoencoders. Despite its simplicity, we find that our method outperforms the state-of-the-art learned video compression networks based on motion compensation or interpolation. We systematically evaluate various design choices, such as the use of frame-based or spatio-temporal autoencoders, and the type of autoregressive prior. In addition, we present three extensions of the basic method that demonstrate the benefits over classical approaches to compression. First, we introduce semantic compression, where the model is trained to allocate more bits to objects of interest. Second, we study adaptive compression, where the model is adapted to a domain with limited variability, e.g., videos taken from an autonomous car, to achieve superior compression on that domain. Finally, we introduce multimodal compression, where we demonstrate the effectiveness of our model in joint compression of multiple modalities captured by non-standard imaging sensors, such as quad cameras. We believe that this opens up novel video compression applications, which have not been feasible with classical codecs.

Figures

Figures reproduced from arXiv: 1908.05717 by the authors.

Figure 1
Figure 1. Overview of the proposed compression inference [PITH_FULL_IMAGE:figures/full_fig_p001_1.png] view at source ↗
Figure 2
Figure 2. Training Rate-Distortion autoencoders. The rate [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
Figure 4
Figure 4. Compression results for the state-of-the-art traditional codecs, AVC/H.264 and HEVC/H.265, and our proposed [PITH_FULL_IMAGE:figures/full_fig_p005_4.png] view at source ↗
Figures from the paper (7 more)
Figure 5
Figure 5. Figure 5: Ablation experiments. The both autoencoder [PITH_FULL_IMAGE:figures/full_fig_p006_5.png]
Figure 7
Figure 7. Figure 7: Three extensions of our model that demonstrate the benefits of learned over classical approaches to compression. [PITH_FULL_IMAGE:figures/full_fig_p008_7.png]
Figure 8
Figure 8. Figure 8: Multimodal compression results for HEVC/H.265 (top) and our proposal (bottom). By utilizing the redundancies [PITH_FULL_IMAGE:figures/full_fig_p008_8.png]
Figure 9
Figure 9. Figure 9: Architecture of our autoencoder. Tconv denotes transposed convolution. For (transposed) convolutional lay￾ers c denotes the number of output channels, k denotes the kernel size and s denotes the stride. These are either ex￾pressed as (x, y, z) triplets or as a single n…
Figure 10
Figure 10. Figure 10: Architecture of our prior / code-model. ARM [PITH_FULL_IMAGE:figures/full_fig_p012_10.png]
Figure 11
Figure 11. Figure 11: Rate/distortion results on UVG for classi [PITH_FULL_IMAGE:figures/full_fig_p013_11.png]
Figure 13
Figure 13. Figure 13: Qualitative results for adaptive compression. [PITH_FULL_IMAGE:figures/full_fig_p014_13.png]

Discussion (0). Continue with ORCID to comment.

Reference graph

Works this paper leans on

41 extracted references · 30 canonical work pages

  1. [40]

    Video Compression through Image Interpolation

    Chao-Yuan Wu, Nayan Singhal, and Philipp Kr ¨ahenb¨uhl. Video Compression through Image Interpolation. In ECCV, pages 416–431, 2018

  2. [27]

    DVC: An End-to-end Deep Video Compression Framework

    Guo Lu, Wanli Ouyang, Dong Xu, Xiaoyun Zhang, Chunlei Cai, and Zhiyong Gao. DVC: An End-to-end Deep Video Compression Framework. arXiv:1812.00101, Nov. 2018

  3. [33]

    Learned Video Compression

    Oren Rippel, Sanjay Nair, Carissa Lew, Steve Branson, Alexander G. Anderson, and Lubomir Bourdev. Learned Video Compression. arXiv:1811.06981 [cs, eess, stat], Nov. 2018

  4. [15]

    Deep Probabilistic Video Compression

    Jun Han, Salvator Lombardo, Christopher Schroers, and Stephan Mandt. Deep Probabilistic Video Compression. arXiv:1810.02845, 2018

  5. [1]

    http://ultravideo

    Ultra video group test sequences. http://ultravideo. cs.tut.fi/. Accessed: 2019-03-18

  6. [2]

    Soft-to-Hard Vector Quantization for End-to-End Learning Compressible Representations

    Eirikur Agustsson, Fabian Mentzer, Michael Tschannen, Lukas Cavigelli, Radu Timofte, Luca Benini, and Luc V Gool. Soft-to-Hard Vector Quantization for End-to-End Learning Compressible Representations. In NIPS, pages 1141–1151. Curran Associates, Inc., 2017

  7. [3]

    Alemi, Ben Poole, Ian Fischer, Joshua V

    Alexander A. Alemi, Ben Poole, Ian Fischer, Joshua V . Dil- lon, Rif A. Saurous, and Kevin Murphy. Fixing a Broken ELBO. arXiv:1711.00464, Nov. 2017

  8. [4]

    Learning to Inpaint for Image Compression

    Mohammad Haris Baig, Vladlen Koltun, and Lorenzo Torre- sani. Learning to Inpaint for Image Compression. In NIPS, pages 1246–1255, 2017

Show all 41 references
  1. [5]

    End- to-end Optimized Image Compression

    Johannes Ball ´e, Valero Laparra, and Eero P Simoncelli. End- to-end Optimized Image Compression. 2016

  2. [6]

    Variational Image Compression with a Scale Hyperprior

    Johannes Ball ´e, David Minnen, Saurabh Singh, Sung Jin Hwang, and Nick Johnston. Variational Image Compression with a Scale Hyperprior. arXiv preprint arXiv:1802.01436, 2018

  3. [7]

    Es- timating or Propagating Gradients Through Stochastic Neu- rons for Conditional Computation

    Yoshua Bengio, Nicholas L ´eonard, and Aaron Courville. Es- timating or Propagating Gradients Through Stochastic Neu- rons for Conditional Computation. 2013

  4. [8]

    Pattern Recognition and Machine Learning

    Christopher M Bishop. Pattern Recognition and Machine Learning. Springer, 1st ed. 20 edition, Oct. 2006

  5. [9]

    Quo vadis, action recognition? A new model and the kinetics dataset

    Joao Carreira and Andrew Zisserman. Quo vadis, action recognition? A new model and the kinetics dataset. InCVPR, 2017

  6. [10]

    Kingma, Tim Salimans, Yan Duan, Pra- fulla Dhariwal, John Schulman, Ilya Sutskever, and Pieter Abbeel

    Xi Chen, Diederik P. Kingma, Tim Salimans, Yan Duan, Pra- fulla Dhariwal, John Schulman, Ilya Sutskever, and Pieter Abbeel. Variational Lossy Autoencoder. arXiv:1611.02731, 2016

  7. [11]

    Learning for Video Compression

    Zhibo Chen, Tianyu He, Xin Jin, and Feng Wu. Learning for Video Compression. IEEE Transactions on Circuits and Systems for Video Technology, Apr. 2019

  8. [12]

    The Zettabyte Era: Trends and Analysis

    Cisco. The Zettabyte Era: Trends and Analysis. Technical report, 2017

  9. [13]

    Cover and Joy A

    Thomas M. Cover and Joy A. Thomas. Elements of Infor- mation Theory. Wiley-Interscience, New York, NY , USA, 2006

  10. [14]

    Deep AutoRegressive Networks

    Karol Gregor, Ivo Danihelka, Andriy Mnih, Charles Blun- dell, and Daan Wierstra. Deep AutoRegressive Networks. arXiv:1310.8499, Oct. 2013

  11. [16]

    Mask R-CNN

    Kaiming He, Georgia Gkioxari, Piotr Doll ´ar, and Ross Gir- shick. Mask R-CNN. arXiv:1703.06870, Mar. 2017

  12. [17]

    Deep Residual Learning for Image Recognition

    K He, X Zhang, S Ren, and J Sun. Deep Residual Learning for Image Recognition. In CVPR, 2016

  13. [18]

    Keeping Neural Networks Simple by Minimizing the Description Length of the Weights

    Geoffrey E Hinton and Drew van Camp. Keeping Neural Networks Simple by Minimizing the Description Length of the Weights. In ACM Conf. on Computational Learning The- ory, 1993

  14. [19]

    Autoencoders, Minimum Description Length and Helmholtz Free Energy

    Geoffrey E Hinton and Richard S Zemel. Autoencoders, Minimum Description Length and Helmholtz Free Energy. In NIPS, pages 3–10, 1994

  15. [20]

    Honkela and H

    A. Honkela and H. Valpola. Variational Learning and Bits-Back Coding: An Information-Theoretic View to Bayesian Learning. IEEE Transactions on Neural Networks, 15(4):800–810, July 2004

  16. [21]

    Batch Normalization: Accelerating Deep Network Training by Reducing Internal Covariate Shift

    Sergey Ioffe and Christian Szegedy. Batch Normalization: Accelerating Deep Network Training by Reducing Internal Covariate Shift. arXiv:1502.03167, Feb. 2015

  17. [22]

    Improved Lossy Image Com- pression with Priming and Spatially Adaptive Bit Rates for Recurrent Networks

    Nick Johnston, Damien Vincent, David Minnen, Michele Covell, Saurabh Singh, Troy Chinen, Sung Jin Hwang, Joel Shor, and George Toderici. Improved Lossy Image Com- pression with Priming and Spatially Adaptive Bit Rates for Recurrent Networks. In CVPR, 2017

  18. [23]

    Video Pixel Networks

    Nal Kalchbrenner, Aaron van den Oord, Karen Simonyan, Ivo Danihelka, Oriol Vinyals, Alex Graves, and Koray Kavukcuoglu. Video Pixel Networks. In ICML, pages 1771– 1779, 2017

  19. [24]

    Adam: A Method for Stochastic Opti- mization

    D Kingma and J Ba. Adam: A Method for Stochastic Opti- mization. In ICLR, 2015

  20. [25]

    Kingma and Max Welling

    Diederik P. Kingma and Max Welling. Auto-Encoding Vari- ational Bayes. arXiv:1312.6114, Dec. 2013

  21. [26]

    Learning convolutional networks for content- weighted image compression

    Mu Li, Wangmeng Zuo, Shuhang Gu, Debin Zhao, and David Zhang. Learning convolutional networks for content- weighted image compression. In CVPR, pages 3214–3223, 2018

  22. [28]

    Conditional Probabil- ity Models for Deep Image Compression

    Fabian Mentzer, Eirikur Agustsson, Michael Tschannen, Radu Timofte, and Luc Van Gool. Conditional Probabil- ity Models for Deep Image Compression. In CVPR, pages 4394–4402, Jan. 2018

  23. [29]

    Berkeley MHAD: A comprehensive Multimodal Human Action Database

    Ferda Ofli, Rizwan Chaudhry, Gregorij Kurillo, Rene Vi- dal, and Ruzena Bajcsy. Berkeley MHAD: A comprehensive Multimodal Human Action Database. In IEEE Workshop on Applications of Computer Vision , pages 53–60, Clearwater Beach, FL, USA, Jan. 2013

  24. [30]

    End-to-End Learning of Video Compression us- ing Spatio-Temporal Autoencoders

    Jorge Pessoa, Helena Aidos, Pedro Tom ´as, and M ´ario AT Figueiredo. End-to-End Learning of Video Compression us- ing Spatio-Temporal Autoencoders. 2018

  25. [31]

    Stochastic Backpropagation and Approximate Inference in Deep Generative Models

    Danilo Jimenez Rezende, Shakir Mohamed, and Daan Wierstra. Stochastic Backpropagation and Approximate Inference in Deep Generative Models. arXiv preprint arXiv:1401.4082, 2014

  26. [32]

    Real-Time Adaptive Im- age Compression

    Oren Rippel and Lubomir Bourdev. Real-Time Adaptive Im- age Compression. In ICML, pages 2922–2930, 2017

  27. [34]

    Genera- tive compression

    Shibani Santurkar, David Budden, and Nir Shavit. Genera- tive compression. In Picture Coding Symposium, pages 258– 262, 2018

  28. [35]

    Lossy Image Compression with Compressive Au- toencoders

    Lucas Theis, Wenzhe Shi, Andrew Cunningham, and Ferenc Husz´ar. Lossy Image Compression with Compressive Au- toencoders. arXiv preprint arXiv:1703.00395, Mar. 2017

  29. [36]

    Full Resolution Image Compression With Recurrent Neural Networks

    George Toderici, Damien Vincent, Nick Johnston, Sung Jin Hwang, David Minnen, Joel Shor, and Michele Covell. Full Resolution Image Compression With Recurrent Neural Networks. In CVPR, pages 5306–5314, 2017

  30. [37]

    Condi- tional Image Generation with PixelCNN Decoders

    Aaron van den Oord, Nal Kalchbrenner, Lasse Espeholt, Ko- ray Kavukcuoglu, Oriol Vinyals, and Alex Graves. Condi- tional Image Generation with PixelCNN Decoders. In NIPS, pages 4790–4798. Curran Associates, Inc., 2016

  31. [38]

    Wainwright and Michael I

    Martin J. Wainwright and Michael I. Jordan. Graphical Mod- els, Exponential Families, and Variational Inference. Foun- dations and Trends R© in Machine Learning , 1(1–2):1–305, 2007

  32. [39]

    Image quality assessment: from error visibility to structural similarity

    Zhou Wang, Alan C Bovik, Hamid R Sheikh, Eero P Simon- celli, et al. Image quality assessment: from error visibility to structural similarity. IEEE Trans. on Image Processing , 13(4):600–612, 2004

  33. [41]

    # Softmax embed c:1 $

    Supplementary Material A. Images used in figures Video used in Figures 1 and 2 by Ambrose Produc- tions, and Figure 4 by TravelTip. Both [CC BY-SA 3.0 https://creativecommons.org/licenses/by/3.0/legalcode], via YouTube. B. Architectural details In this section we detail the arc...

Pith tools

Reviewed August 14, 2026 · model on record in the stance chip above.