Somaye Vali Zade, Mathias Sawall, Klaus Neymeyr, Alejandro C. Olivieri, Roma Tauler, Hamid Abdollahi
{"title":"Feasible band boundaries computation in bilinear matrix decomposition using essential data","authors":"Somaye Vali Zade, Mathias Sawall, Klaus Neymeyr, Alejandro C. Olivieri, Roma Tauler, Hamid Abdollahi","doi":"10.1016/j.aca.2024.343538","DOIUrl":null,"url":null,"abstract":"<h3>Background</h3>Multivariate curve resolution methods are usually confronted with non-unique pure component factors. This rotational ambiguity can be represented by ranges of feasible profiles, which are equally compatible with the imposed constraints. Sensor-wise N-BANDS is an effective algorithm for the calculation of the bounds of feasible profiles in the presence of noise, but suffers from high computational cost.<h3>Results</h3>Sensor-wise N-BANDS has been combined with the concept of essential data points to speed up the computation. The combined algorithm provides full curve resolution independent of the number of chemical species. The effectiveness of the proposed algorithm is demonstrated for simulated chromatographic data and experimental spectro-electrochemical data.<h3>Significance</h3>With the new proposal, the boundaries of the set of feasible profiles in bilinear matrix decomposition can be estimated in a reasonable time, for any number of components, and in the presence of instrumental noise. For the simulated data, the reduction in computation time was more than 95%. Similarly, for the relatively large experimental spectro-electrochemical data, the reduction in computation time was over 85%.","PeriodicalId":240,"journal":{"name":"Analytica Chimica Acta","volume":"4 1","pages":""},"PeriodicalIF":5.7000,"publicationDate":"2024-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Analytica Chimica Acta","FirstCategoryId":"92","ListUrlMain":"https://doi.org/10.1016/j.aca.2024.343538","RegionNum":2,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, ANALYTICAL","Score":null,"Total":0}
引用次数: 0
Abstract
Background
Multivariate curve resolution methods are usually confronted with non-unique pure component factors. This rotational ambiguity can be represented by ranges of feasible profiles, which are equally compatible with the imposed constraints. Sensor-wise N-BANDS is an effective algorithm for the calculation of the bounds of feasible profiles in the presence of noise, but suffers from high computational cost.
Results
Sensor-wise N-BANDS has been combined with the concept of essential data points to speed up the computation. The combined algorithm provides full curve resolution independent of the number of chemical species. The effectiveness of the proposed algorithm is demonstrated for simulated chromatographic data and experimental spectro-electrochemical data.
Significance
With the new proposal, the boundaries of the set of feasible profiles in bilinear matrix decomposition can be estimated in a reasonable time, for any number of components, and in the presence of instrumental noise. For the simulated data, the reduction in computation time was more than 95%. Similarly, for the relatively large experimental spectro-electrochemical data, the reduction in computation time was over 85%.
期刊介绍:
Analytica Chimica Acta has an open access mirror journal Analytica Chimica Acta: X, sharing the same aims and scope, editorial team, submission system and rigorous peer review.
Analytica Chimica Acta provides a forum for the rapid publication of original research, and critical, comprehensive reviews dealing with all aspects of fundamental and applied modern analytical chemistry. The journal welcomes the submission of research papers which report studies concerning the development of new and significant analytical methodologies. In determining the suitability of submitted articles for publication, particular scrutiny will be placed on the degree of novelty and impact of the research and the extent to which it adds to the existing body of knowledge in analytical chemistry.