Local Approximations, Real Interpolation and Machine Learning
Machine Learning
2022-07-19 v1 Functional Analysis
Abstract
We suggest a novel classification algorithm that is based on local approximations and explain its connections with Artificial Neural Networks (ANNs) and Nearest Neighbour classifiers. We illustrate it on the datasets MNIST and EMNIST of images of handwritten digits. We use the dataset MNIST to find parameters of our algorithm and apply it with these parameters to the challenging EMNIST dataset. It is demonstrated that the algorithm misclassifies 0.42% of the images of EMNIST and therefore significantly outperforms predictions by humans and shallow artificial neural networks (ANNs with few hidden layers) that both have more than 1.3% of errors
Cite
@article{arxiv.2207.07720,
title = {Local Approximations, Real Interpolation and Machine Learning},
author = {Eric Setterqvist and Natan Kruglyak and Robert Forchheimer},
journal= {arXiv preprint arXiv:2207.07720},
year = {2022}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2204.13141