# A Compact Network Learning Model for Distribution Regression

arXiv: https://arxiv.org/abs/1804.04775 · HTML: https://mlsanity.com/paper/1804.04775/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 13 Apr 2018.

## Built on by (most cited first, 1 of 1)

- [Error-in-variables modelling for operator learning](https://mlsanity.com/paper/2204.10909/) (2022)

## Abstract (arXiv)

Despite the superior performance of deep learning in many applications, challenges remain in the area of regression on function spaces. In particular, neural networks are unable to encode function inputs compactly as each node encodes just a real value. We propose a novel idea to address this shortcoming: to encode an entire function in a single network node. To that end, we design a compact network representation that encodes and propagates functions in single nodes for the distribution regression task. Our proposed Distribution Regression Network (DRN) achieves higher prediction accuracies while being much more compact and uses fewer parameters than traditional neural networks.