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<img alt="Masked Autoencoder for Distribution Estimation" src="https://raw.githubusercontent.com/janosh/diagrams/main/assets/made/made.svg">
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They introduce the affine coupling layer (RNVP), a major improvement in terms of flexibility over the additive coupling layer (NICE) with unit Jacobian while keeping a single-pass forward and inverse transformation for fast sampling and density estimation, respectively.
<img alt="Diagram of real-valued non-volume preserving (RNVP) coupling layer" src="https://raw.githubusercontent.com/janosh/diagrams/main/assets/rnvp/rnvp.svg">
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Introduces MAF, a stack of autoregressive models forming a normalizing flow suitable for fast density estimation but slow at sampling. Analogous to Inverse Autoregressive Flow (IAF) except the forward and inverse passes are exchanged. Generalization of RNVP.
<img alt="Diagram of the slow (sequential) forward pass of a Masked Autoregressive Flow (MAF) layer" src="https://raw.githubusercontent.com/janosh/tikz/main/assets/maf/maf.svg">
<img alt="Diagram of the slow (sequential) forward pass of a Masked Autoregressive Flow (MAF) layer" src="https://raw.githubusercontent.com/janosh/diagrams/main/assets/maf/maf.svg">
Copy file name to clipboardexpand all lines: readme.md
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A list of awesome resources for understanding and applying normalizing flows (NF): a relatively simple yet powerful new tool in statistics for constructing expressive probability distributions from simple base distributions using a chain (flow) of trainable smooth bijective transformations (diffeomorphisms).
<img alt="Diagram of the slow (sequential) forward pass of a Masked Autoregressive Flow (MAF) layer" src="https://raw.githubusercontent.com/janosh/tikz/main/assets/normalizing-flow/normalizing-flow.svg">
<img alt="Diagram of the slow (sequential) forward pass of a Masked Autoregressive Flow (MAF) layer" src="https://raw.githubusercontent.com/janosh/diagrams/main/assets/normalizing-flow/normalizing-flow.svg">
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<sup>_Figure inspired by [Lilian Weng](https://lilianweng.github.io/lil-log/2018/10/13/flow-based-deep-generative-models). Created in TikZ.[View source](https://github.com/janosh/tikz/tree/main/assets/normalizing-flow)._</sup>
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<sup>_Figure inspired by [Lilian Weng](https://lilianweng.github.io/lil-log/2018/10/13/flow-based-deep-generative-models). Created in [CeTZ](https://cetz-package.github.io).[View source](https://github.com/janosh/diagrams/blob/main/assets/normalizing-flow/normalizing-flow.typ)._</sup>
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<br>
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1. 2017-05-19 - [Masked Autoregressive Flow for Density Estimation](https://arxiv.org/abs/1705.07057) by Papamakarios, Pavlakou et al.<br>
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Introduces MAF, a stack of autoregressive models forming a normalizing flow suitable for fast density estimation but slow at sampling. Analogous to Inverse Autoregressive Flow (IAF) except the forward and inverse passes are exchanged. Generalization of RNVP.
<img alt="Diagram of the slow (sequential) forward pass of a Masked Autoregressive Flow (MAF) layer" src="https://raw.githubusercontent.com/janosh/tikz/main/assets/maf/maf.svg">
<img alt="Diagram of the slow (sequential) forward pass of a Masked Autoregressive Flow (MAF) layer" src="https://raw.githubusercontent.com/janosh/diagrams/main/assets/maf/maf.svg">
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1. 2016-05-27 - [Density estimation using Real NVP](https://arxiv.org/abs/1605.08803) by Dinh, Sohl-Dickstein et al.<br>
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They introduce the affine coupling layer (RNVP), a major improvement in terms of flexibility over the additive coupling layer (NICE) with unit Jacobian while keeping a single-pass forward and inverse transformation for fast sampling and density estimation, respectively.
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