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Generative Model with Dynamic Linear Flow

Machine Learning · Submitted 8 May 2019

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We demonstrate that the proposed DLF yields state-of-theart performance on ImageNet 32x32 and 64x64 out of all flow-based methods, and is competitive with the best autoregressive model.

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arXiv ID1905.03239 (version 1)
Pith ID7BBGM2RP, Pith's permanent record of this paper and its review
CitationHuadong Liao, Jiawei He, Kunxian Shu. "Generative Model with Dynamic Linear Flow." arXiv:1905.03239 (2019). https://pith.science/paper/7BBGM2RP
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 6,208 input tokens.

What the abstract itself states, as probabilities: claims first 0.07 · states limitation 0.11 · human participants 0.02 · controlled comparison 0.63 · randomized assignment 0.01 · states quantitative result 0.98 · compares with prior results 0.98 · mentions code or data availability 0.99.

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arXiv listing abstract v1. Results and the main claim are underlined; .

Flow-based generative models are a family of exact log-likelihood models with tractable sampling and latent-variable inference, hence conceptually attractive for modeling complex distributions. However, flow-based models are limited by density estimation performance issues as compared to state-of-the-art autoregressive models. Autoregressive models, which also belong to the family of likelihood-based methods, however suffer from limited parallelizability. In this paper, we propose Dynamic Linear Flow (DLF), a new family of invertible transformations with partially autoregressive structure. Our method benefits from the efficient computation of flow-based methods and high density estimation performance of autoregressive methods. We demonstrate that the proposed DLF yields state-of-theart performance on ImageNet 32x32 and 64x64 out of all flow-based methods, and is competitive with the best autoregressive model. Additionally, our model converges 10 times faster than Glow (Kingma and Dhariwal, 2018). The code is available at https://github.com/naturomics/DLF.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 Flow-based generative models are a family of exact log-likelihood models with tractable sampling and latent-variable inference, hence conceptually attractive for modeling complex distributions. background 1.00 0.04 0.03 asserted 1.00
s1 However, flow-based models are limited by density estimation performance issues as compared to state-of-the-art autoregressive models. background 0.73 0.07 0.02 asserted 1.00
s2 Autoregressive models, which also belong to the family of likelihood-based methods, however suffer from limited parallelizability. background 0.92 0.05 0.02 asserted 1.00
s3 In this paper, we propose Dynamic Linear Flow (DLF), a new family of invertible transformations with partially autoregressive structure. contribution 0.91 0.85 0.12 asserted 0.99
s4 Our method benefits from the efficient computation of flow-based methods and high density estimation performance of autoregressive methods. contribution 0.74 0.32 0.17 asserted 1.00
s5 We demonstrate that the proposed DLF yields state-of-theart performance on ImageNet 32x32 and 64x64 out of all flow-based methods, and is competitive with the best autoregressive model. result 1.00 0.96 0.76 asserted 1.00
s6 Additionally, our model converges 10 times faster than Glow (Kingma and Dhariwal, 2018). result 1.00 0.94 0.08 asserted 1.00
s7 The code is available at https://github.com/naturomics/DLF. contribution 0.64 0.35 0.02 asserted 0.98

What kind of paper the classifier reports this is: method or tool 1.00 · evidence from observation or experiment 0.61.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

Flow-based generative models are a family of exact log-likelihood models with tractable sampling and latent-variable inference, hence conceptually attractive for modeling complex distributions. However, flow-based models are limited by density estimation performance issues as compared to state-of-the-art autoregressive models. Autoregressive models, which also belong to the family of likelihood-based methods, however suffer from limited parallelizability. In this paper, we propose Dynamic Linear Flow (DLF), a new family of invertible transformations with partially autoregressive structure. Our method benefits from the efficient computation of flow-based methods and high density estimation performance of autoregressive methods. We demonstrate that the proposed DLF yields state-of-theart performance on ImageNet 32x32 and 64x64 out of all flow-based methods, and is competitive with the best autoregressive model. Additionally, our model converges 10 times faster than Glow (Kingma and Dhariwal, 2018). The code is available at https://github.com/naturomics/DLF.

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Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

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Cites as background 9 papers
  • In most flow-based models [ref] , the high-dimensional random variable $$ with complex and unknown true distribution $∼p^⋆()$ is generally modeled by a latent variable $$: $= f_θ()$, where $f$ can be any bijective function with parameters $θ$ and is typically composed of a series of transformations $f=f_1∘f_2∘⋯∘f_L$. $p_θ()$ has a tractable density, such as a standard Gaussian distribution.

    NICE: Non-linear Independent Components Estimation · Flow-based Models · 0.98

  • In most flow-based models [ref] , the high-dimensional random variable $$ with complex and unknown true distribution $∼p^⋆()$ is generally modeled by a latent variable $$: $= f_θ()$, where $f$ can be any bijective function with parameters $θ$ and is typically composed of a series of transformations $f=f_1∘f_2∘⋯∘f_L$. $p_θ()$ has a tractable density, such as a standard Gaussian distribution.

    Density estimation using Real NVP · Flow-based Models · 0.98

  • Likelihood-based generative methods could be further divided into three different categories: variational autoencoders [ref] , autoregressive models [ref] , and flow-based generative methods [ref] .

    Generating High Fidelity Images with Subscale Pixel Networks and Multidimensional Upscaling · Introduction · 0.99

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