English

Maximal function pooling with applications

Computer Vision and Pattern Recognition 2021-03-03 v1 Information Theory math.IT

Abstract

Inspired by the Hardy-Littlewood maximal function, we propose a novel pooling strategy which is called maxfun pooling. It is presented both as a viable alternative to some of the most popular pooling functions, such as max pooling and average pooling, and as a way of interpolating between these two algorithms. We demonstrate the features of maxfun pooling with two applications: first in the context of convolutional sparse coding, and then for image classification.

Cite

@article{arxiv.2103.01292,
  title  = {Maximal function pooling with applications},
  author = {Wojciech Czaja and Weilin Li and Yiran Li and Mike Pekala},
  journal= {arXiv preprint arXiv:2103.01292},
  year   = {2021}
}

Comments

18 pages, 1 figure, to appear in Excursions in Harmonic Analysis, Volume 6

R2 v1 2026-06-23T23:38:04.907Z