# A Functorial Formulation of Neighborhood Aggregating Deep Learning

arXiv: https://arxiv.org/abs/2604.24672 · HTML: https://mlsanity.com/paper/2604.24672/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- Builds on 0 of its 55 references that are in the map.
- First posted on arXiv 27 Apr 2026.

## Abstract (arXiv)

We provide a mathematical interpretation of convolutional (or message passing) neural networks by using presheaves and copresheaves of the set of continuous functions over a topological space. Based on this interpretation, we formulate a theoretical heuristic which elaborates a number of empirical limitations of these neural networks by using obstructions on such sets of continuous functions over a topological space to be sheaves or copresheaves.