Neural Integral Operators for Inverse problems in Spectroscopy

TL;DR

This paper introduces a deep learning method based on integral operators for spectroscopic inverse problems, which is more effective on small datasets and reduces overfitting compared to traditional models and other deep learning approaches.

Contribution

The paper presents a novel deep learning framework using integral operators for spectroscopy inverse problems, improving performance on limited data scenarios.

Findings

Outperforms traditional machine learning methods like decision trees and SVMs.

Outperforms other deep learning models on small datasets.

Effective in real-world spectroscopic classification tasks.

Abstract

Deep learning has shown high performance on spectroscopic inverse problems when sufficient data is available. However, it is often the case that data in spectroscopy is scarce, and this usually causes severe overfitting problems with deep learning methods. Traditional machine learning methods are viable when datasets are smaller, but the accuracy and applicability of these methods is generally more limited. We introduce a deep learning method for classification of molecular spectra based on learning integral operators via integral equations of the first kind, which results in an algorithm that is less affected by overfitting issues on small datasets, compared to other deep learning models. The problem formulation of the deep learning approach is based on inverse problems, which have traditionally found important applications in spectroscopy. We perform experiments on real world data to showcase our algorithm. It is seen that the model outperforms traditional machine learning approaches such as decision tree and support vector machine, and for small datasets it outperforms other deep learning models. Therefore, our methodology leverages the power of deep learning, still maintaining the performance when the available data is very limited, which is one of the main issues that deep learning faces in spectroscopy, where datasets are often times of small size.