Iterative Amortized Hierarchical VAE

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Hauptverfasser: Penninga, Simon W., van Sloun, Ruud J. G.
Format: Preprint
Veröffentlicht: 2026
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author Penninga, Simon W.
van Sloun, Ruud J. G.
author_facet Penninga, Simon W.
van Sloun, Ruud J. G.
contents In this paper we propose the Iterative Amortized Hierarchical Variational Autoencoder (IA-HVAE), which expands on amortized inference with a hybrid scheme containing an initial amortized guess and iterative refinement with decoder gradients. We achieve this by creating a linearly separable decoder in a transform domain (e.g. Fourier space), enabling real-time applications with very high model depths. The architectural change leads to a 35x speed-up for iterative inference with respect to the traditional HVAE. We show that our hybrid approach outperforms fully amortized and fully iterative equivalents in accuracy and speed respectively. Moreover, the IAHVAE shows improved reconstruction quality over a vanilla HVAE in inverse problems such as deblurring and denoising.
format Preprint
id arxiv_https___arxiv_org_abs_2601_15894
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Iterative Amortized Hierarchical VAE
Penninga, Simon W.
van Sloun, Ruud J. G.
Machine Learning
Artificial Intelligence
In this paper we propose the Iterative Amortized Hierarchical Variational Autoencoder (IA-HVAE), which expands on amortized inference with a hybrid scheme containing an initial amortized guess and iterative refinement with decoder gradients. We achieve this by creating a linearly separable decoder in a transform domain (e.g. Fourier space), enabling real-time applications with very high model depths. The architectural change leads to a 35x speed-up for iterative inference with respect to the traditional HVAE. We show that our hybrid approach outperforms fully amortized and fully iterative equivalents in accuracy and speed respectively. Moreover, the IAHVAE shows improved reconstruction quality over a vanilla HVAE in inverse problems such as deblurring and denoising.
title Iterative Amortized Hierarchical VAE
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2601.15894