Constrained regularization: Hybrid method for multivariate calibration

Analytical Chemistry

Volumn 79, Issue 1, 2007, Pages 234-239

  Shih, Wei Chuan ^a   Bechtel, Kate L ^a   Feld, Michael S ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CALIBRATION; COMPUTATIONAL COMPLEXITY; COMPUTER SIMULATION; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; STATISTICAL METHODS;

CONSTRAINED REGULARIZATION; LINEAR ANALYSIS; MULTIVARIATE CALIBRATION; TURBID SAMPLES;

CONSTRAINT THEORY;

CREATININE; GLUCOSE; UREA; WATER;

ARTICLE; CALIBRATION; HYBRID LINEAR ANALYSIS; MATHEMATICAL ANALYSIS; MATHEMATICAL PARAMETERS; METHODOLOGY; MULTIVARIATE ANALYSIS; MULTIVARIATE CALIBRATION; PARTIAL LEAST SQUARES REGRESSION; PREDICTION; PRINCIPAL COMPONENT ANALYSIS; RAMAN SPECTROMETRY; REGRESSION ANALYSIS; SAMPLING; SIGNAL NOISE RATIO;

ALGORITHMS; BIOPOLYMERS; CALIBRATION; COMPUTER SIMULATION; DATA INTERPRETATION, STATISTICAL; MODELS, STATISTICAL; MULTIVARIATE ANALYSIS; SPECTRUM ANALYSIS, RAMAN;

EID: 33846263077     PISSN: 00032700     EISSN: None     Source Type: Journal    
DOI: 10.1021/ac060732v     Document Type: Article

References (20)

1. Martens, H.; Naes, T. Multivariate Calibration; John Wiley & Sons: New York, 1989.
2. Geladi, P.; Kowalski, B. R. Anal. Chim. Acta 1986, 185, 1-17.
3. Kowalski, B. R.; Lorber, A. Abstr. Pap. Am. Chem. Soc. 1988, 196, 100-Anyl.
4. Haaland, D. M.; Thomas, E. V. Anal. Chem. 1988, 60, 1193-1202.
5. Gunst, R. F.; Mason, R. L. Regression Analysis and its Applications, 6th ed.; Marcel Dekker Inc.: New York, 1980.
6. Wold, S.; Martin, H.; Wold, H. Lecture Notes in Mathematics; Springer-Verlag: Heidelberg, 1983.
7. Arnold, M. A.; Burmeister, J. J.; Small, G. W. Anal. Chem. 1998, 70, 1773-1781.
8. Haaland, D. M.; Melgaard, D. K. Appl. Spectrosc. 2001, 55, 1-8.
9. Wentzell, P. D.; Andrews, D. T.; Kowalski, B. R. Anal. Chem. 1997, 69, 2299-2311.
10. Berger, A. J.; Koo, T. W.; Itzkan, I.; Feld, M. S. Anal. Chem. 1998, 70, 623-627.
11. Tikhonov, A. N.; Arsenin, V. I. F. A. F. Solutions of ill-posed problems; Winston; Washington DC, 1977.
12. Hastie, T.; Tibshirani, R.; Friedman, J. H. The elements of statistical learning: data mining, inference, and prediction; Springer: New York, 2001.
13. Strang, G. Introduction to linear algebra, 2nd ed.: Wellesley-Cambridge Press: Wellesley, MA, 1998.
14. Bertero, M.; Boccacci, P. Introduction to inverse problems in imaging; Institute of Physics Pub.: Bristol, UK; Philadelphia, PA, 1998.
15. Hansen, P. C. Rank-deficient and discrete ill-posed problems: numerical aspects of linear inversion; SIAM: Philadelphia, 1997.
16. Wiener, N. Extrapolation, interpolation, and smoothing of stationary time series, with engineering applications; Technology Press of the Massachusetts Institute of Technology: Cambridge, MA, 1949.
17. Lorber, A. Anal. Chem. 1986, 58, 1167-1172.
18. Enejder, A. M. K.; Scecina, T. G.; Oh, J.; Hunter, M.; Shih, W. C.; Sasic, S.; Horowitz, G. L.; Feld, M. S. J. Biomed. Opt. 2005, 10, 031114.
19. Doornbos, R. M. P.; Lang, R.; Aalders, M. C.; Cross, F. W.; Sterenborg, H. J. C. M. Phys. Med. Biol. 1999, 44, 967-981.
20. Frank, I. E.; Friedman, J. H. Technometrics 1993, 35, 109-135.