# Interpreting Spatially Infinite Generative Models

arXiv: https://arxiv.org/abs/2007.12411 · HTML: https://mlsanity.com/paper/2007.12411/

## Key facts

- Cited by 3 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 24 Jul 2020.

## Built on by (most cited first, 3 of 3)

- [Aligning Latent and Image Spaces to Connect the Unconnectable](https://mlsanity.com/paper/2104.06954/) (2021)
- [Autoregressive Conditional Neural Processes](https://mlsanity.com/paper/2303.14468/) (2023)
- [One-shot Ultra-high-Resolution Generative Adversarial Network That Synthesizes 16K Images On A Single GPU](https://mlsanity.com/paper/2202.13799/) (2022)

## Abstract (arXiv)

Traditional deep generative models of images and other spatial modalities can only generate fixed sized outputs. The generated images have exactly the same resolution as the training images, which is dictated by the number of layers in the underlying neural network. Recent work has shown, however, that feeding spatial noise vectors into a fully convolutional neural network enables both generation of arbitrary resolution output images as well as training on arbitrary resolution training images. While this work has provided impressive empirical results, little theoretical interpretation was provided to explain the underlying generative process. In this paper we provide a firm theoretical interpretation for infinite spatial generation, by drawing connections to spatial stochastic processes. We use the resulting intuition to improve upon existing spatially infinite generative models to enable more efficient training through a model that we call an infinite generative adversarial network, or ∞-GAN. Experiments on world map generation, panoramic images and texture synthesis verify the ability of ∞-GAN to efficiently generate images of arbitrary size.