Handling Experimental Data in FACPACK: Noise Effects on Duality Relations and Algorithmic Parameter Selection

ABSTRACT The area of feasible solutions (AFS) quantifies factor ambiguity in multivariate curve resolution (MCR). Although AFS computation is well‐defined for noise‐free data, experimental datasets require constraint relaxation and parameter tuning, which influence the resulting feasible bands. This work addresses the computation of the AFS in the presence of noise. We propose a statistically motivated strategy for control parameter estimation based on Savitzky–Golay filtering, introduce a two‐stage preprocessing approach for baseline‐distorted data, and analyze the effect of noise in the dual space. The methods are demonstrated on model data and experimental FT‐IR datasets.

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Publication Details

Journal
Journal of Chemometrics
Published
2026-09-18
DOI
https://doi.org/10.1002/cem.70179
Primary Topic
Statistical and numerical algorithms
Type
article
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article

Handling Experimental Data in FACPACK: Noise Effects on Duality Relations and Algorithmic Parameter Selection

Steven J. Roeters, Klaus Neymeyr, Mathias Sawall, Alejandro C. Olivieri et al.
Journal of Chemometrics
Statistical and numerical algorithms
article

Handling Experimental Data in FACPACK: Noise Effects on Duality Relations and Algorithmic Parameter Selection

Steven J. Roeters, Klaus Neymeyr, Mathias Sawall, Alejandro C. Olivieri, Christoph Kubis
article en

Abstract

ABSTRACT The area of feasible solutions (AFS) quantifies factor ambiguity in multivariate curve resolution (MCR). Although AFS computation is well‐defined for noise‐free data, experimental datasets require constraint relaxation and parameter tuning, which influence the resulting feasible bands. This work addresses the computation of the AFS in the presence of noise. We propose a statistically motivated strategy for control parameter estimation based on Savitzky–Golay filtering, introduce a two‐stage preprocessing approach for baseline‐distorted data, and analyze the effect of noise in the dual space. The methods are demonstrated on model data and experimental FT‐IR datasets.

Journal of ChemometricsVol. 40(10)
National University of Rosario (AR), Amsterdam Neuroscience (NL), Leibniz Institute for Catalysis (DE), University of Rostock (DE)
Openalex Percentile: Top 6%
Statistical and numerical algorithms
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Handling Experimental Data in FACPACK: Noise Effects on Duality Relations and Algorithmic Parameter Selection — Steven J. Roeters, Klaus Neymeyr, et al. · Journal of Chemometrics (2026) | TGRS Research Map | TGRS