English

HyperNets and their application to learning spatial transformations

Neural and Evolutionary Computing 2018-07-25 v1

Abstract

In this paper we propose a conceptual framework for higher-order artificial neural networks. The idea of higher-order networks arises naturally when a model is required to learn some group of transformations, every element of which is well-approximated by a traditional feedforward network. Thus the group as a whole can be represented as a hyper network. One of typical examples of such groups is spatial transformations. We show that the proposed framework, which we call HyperNets, is able to deal with at least two basic spatial transformations of images: rotation and affine transformation. We show that HyperNets are able not only to generalize rotation and affine transformation, but also to compensate the rotation of images bringing them into canonical forms.

Keywords

Cite

@article{arxiv.1807.09226,
  title  = {HyperNets and their application to learning spatial transformations},
  author = {Alexey Potapov and Oleg Shcherbakov and Innokentii Zhdanov and Sergey Rodionov and Nikolai Skorobogatko},
  journal= {arXiv preprint arXiv:1807.09226},
  year   = {2018}
}