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Updated: Jan 21, 2026

Cross-Modal Multivariate Pattern Analysis
Published on: November 9, 2011
Contribution to second-order calibration based on multivariate curve resolution with and without previous
Rocío B Pellegrino Vidal1, Alejandro C Olivieri1
1Departamento de Química Analítica, Facultad de Ciencias Bioquímicas y Farmacéuticas, Universidad Nacional de Rosario, Instituto de Química de Rosario (IQUIR-CONICET), Suipacha 531, Rosario, S2002LRK, Argentina.
Multivariate curve resolution - alternating least-squares (MCR-ALS) faces rotational ambiguity in concentration estimation. A novel warping method (COW) did not improve accuracy and altered data, showing standard MCR-ALS is preferable.
Area of Science:
- Analytical Chemistry
- Chemometrics
Background:
- Rotational ambiguity in multivariate curve resolution - alternating least-squares (MCR-ALS) complicates analyte concentration estimation in second-order calibration.
- Non-trilinear data from liquid chromatography with spectral detection, exhibiting variable elution profiles, pose challenges for unique decomposition models.
Purpose of the Study:
- To compare the analytical performance of standard MCR-ALS with a novel approach using correlation optimized warping (COW) to address rotational ambiguity.
- To evaluate if synchronizing elution profiles via COW and re-applying MCR-ALS restores data trilinearity and improves accuracy.
Main Methods:
- Standard MCR-ALS analysis of augmented matrices from raw data.
- Correlation optimized warping (COW) to synchronize MCR-ALS elution profiles, followed by augmented matrix reconstruction and constrained MCR-ALS.
Main Results:
- The COW-based method (alternative 2) did not resolve rotational ambiguity and artificially modified data.
- Simulated systems showed lower average errors (approx. 2%) for standard MCR-ALS compared to COW-enhanced MCR-ALS (4-11%).
- Experimental systems yielded similar errors: 2-3% for standard MCR-ALS and 3-4% for COW-enhanced MCR-ALS.
Conclusions:
- The tested COW-based method offers no significant analytical improvement over standard MCR-ALS for non-trilinear data.
- Focus should remain on mitigating rotational ambiguity through chemically relevant constraints within MCR-ALS.
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