Tensor-based Nonlinear Classifier for High-Order Data Analysis
Abstract
In this paper we propose a tensor-based nonlinear model for high-order data classification. The advantages of the proposed scheme are that (i) it significantly reduces the number of weight parameters, and hence of required training samples, and (ii) it retains the spatial structure of the input samples. The proposed model, called \textit{Rank}-1 FNN, is based on a modification of a feedforward neural network (FNN), such that its weights satisfy the {\it rank}-1 canonical decomposition. We also introduce a new learning algorithm to train the model, and we evaluate the \textit{Rank}-1 FNN on third-order hyperspectral data. Experimental results and comparisons indicate that the proposed model outperforms state of the art classification methods, including deep learning based ones, especially in cases with small numbers of available training samples.
Cite
@article{arxiv.1802.05981,
title = {Tensor-based Nonlinear Classifier for High-Order Data Analysis},
author = {Konstantinos Makantasis and Anastasios Doulamis and Nikolaos Doulamis and Antonis Nikitakis and Athanasios Voulodimos},
journal= {arXiv preprint arXiv:1802.05981},
year = {2019}
}
Comments
To appear in IEEE ICASSP 2018. arXiv admin note: text overlap with arXiv:1709.08164