ZeChipC: Time Series Interpolation Method Based on Lebesgue Sampling

Luis Miralles-Pechuán, Matthieu Bellucci, M. Atif Qureshi, Brian Mac Namee

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Citation (Scopus)

Abstract

In this paper, we present an interpolation method based on Lebesgue sampling that could help to develop systems based time series more efficiently. Our methods can transmit times series, frequently used in health monitoring, with the same level of accuracy but using much fewer data. Our method is based in Lebesgue sampling, which collects information depending on the values of the signal (e.g. the signal output is sampled when it crosses specific limits). Lebesgue sampling contains additional information about the shape of the signal in-between two sampled points. Using this information would allow generating an interpolated signal closer to the original one. In our contribution, we propose a novel time-series interpolation method designed explicitly for Lebesgue sampling called ZeChipC. ZeChipC is a combination of Zero-order hold and Piecewise Cubic Hermite Interpolating Polynomial (PCHIP) interpolation. ZeChipC includes new functionality to adapt the reconstructed signal to concave/convex regions. The proposed methods have been compared with state-of-the-art interpolation methods using Lebesgue sampling and have offered higher average performance.

Original languageEnglish
Title of host publicationAdvances in Soft Computing - 19th Mexican International Conference on Artificial Intelligence, MICAI 2020, Proceedings
EditorsLourdes Martínez-Villaseñor, Hiram Ponce, Oscar Herrera-Alcántara, Félix A. Castro-Espinoza
PublisherSpringer Science and Business Media Deutschland GmbH
Pages182-196
Number of pages15
ISBN (Print)9783030608835
DOIs
Publication statusPublished - 2020
Event19th Mexican International Conference on Artificial Intelligence, MICAI 2020 - Mexico City, Mexico
Duration: 12 Oct 202017 Oct 2020

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume12468 LNAI
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference19th Mexican International Conference on Artificial Intelligence, MICAI 2020
Country/TerritoryMexico
CityMexico City
Period12/10/2017/10/20

Keywords

  • Event-based interpolation
  • Lebesgue sampling interpolation method
  • Signal reconstruction using Lebesgue sampling
  • Time series interpolation method

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