Have a personal or library account? Click to login
Covariance regularization for metabolomic data on the drought resistance of barley Cover

Covariance regularization for metabolomic data on the drought resistance of barley

Open Access
|Dec 2019

References

  1. Chmielewska K., Rodziewicz P., Swarcewicz B., Sawikowska A., Krajewski P., Marczak Ł., Ciesiołka D., Kuczyńska A., Mikołajczak K., Ogrodowicz P., Krystkowiak K., Surma M., Adamski T., Bednarek P., Stobiecki M. (2016): Analysis of drought-induced proteomic and metabolomic changes in barley (Hordeum vulgare L.) leaves and roots unravels some aspects of biochemical mechanisms involved in drought tolerance. Frontiers in Plant Science 7: 1108.10.3389/fpls.2016.01108496245927512399
  2. Christensen L.P.B. (2007): An EM-algorithm for Band-Toeplitz Covariance Matrix Estimation. In: IEEE International Conference on Acoustics, Speech and Signal Processing III, Honolulu, 3: 1021–1024.10.1109/ICASSP.2007.366856
  3. Cui X., Li X., Zhao J., Zeng L., Zhang D., Pan J. (2016): Covariance structure regularization via Frobenius norm discrepancy. Linear Algebra Appl. 510: 124–145.10.1016/j.laa.2016.08.013
  4. Dey D.K., Srinivasan C. (1985): Estimation of a covariance matrix under Stein’s loss. Ann. Statist. 13(4): 1581–1591.10.1214/aos/1176349756
  5. Filipiak K., Klein D. (2018a): Approximation with Kronecker product structure with one component as compound symmetry or autoregression. Linear Algebra and Its Applications 559: 11–33.10.1016/j.laa.2018.08.031
  6. Filipiak K., Klein D., Markiewicz A., Mokrzycka M. (2018b): Approximation with a Kronecker product structure via entropy loss function. Submitted.
  7. Filipiak K., Klein D., Mokrzycka M. (2018c): Estimators comparison of separable covariance structure with one component as compound symmetry matrix. Electronic Journal of Linear Algebra 33: 83–98.10.13001/1081-3810.3740
  8. Filipiak K., Klein D., Roy A. (2017): A comparison of likelihood ratio tests and Rao’s score test for three separable covariance matrix structures. Biometrical J. 59: 192–215.10.1002/bimj.20160004427774639
  9. Filipiak K., Markiewicz A., Mieldzioc A., Sawikowska A. (2018d): On projection of a positive definite matrix on a cone of nonnegative definite Toeplitz matrices. Electronic Journal of Linear Algebra 33: 74–82.10.13001/1081-3810.3750
  10. James W., Stein C. (1961): Estimation with quadratic loss. In: Neyman, J. (ed.) Proceedings of the Fourth Berkeley Symposium. In: Mathematical Statistics and Probability, 1: 361–379. The Statistical Laboratory, University of California Press.
  11. Khakimov B., Gürdeniz G., Engelsen S.B. (2016): Trends in the application of chemometrics to foodomics studies. Acta Alimentaria 44: 4–31.10.1556/AAlim.44.2015.1.1
  12. Lin L., Higham N. J., Pan J. (2014): Covariance structure regularization via entropy loss function. Computational Statistics and Data Analysis 72: 315–327.10.1016/j.csda.2013.10.004
  13. Magnus J., Neudecker H. (1986): Symmetry, 0-1 matrices and Jacobians, a review. Econom. Theory 2: 157–190.10.1017/S0266466600011476
  14. Ożarowski M., Piasecka A., Gryszczyńska A., Sawikowska A., Pietrowiak A., Opala B., Mikołajczak P.Ł., Kujawski R., Kachlicki P., Buchwaldg W., Seremak-Mrozikiewicz A. (2017): Determination of phenolic compounds and diterpenes in roots of Salvia miltiorrhiza and Salvia przewalskii by two LC–MS tools: Multi-stage and high resolution tandem mass spectrometry with assessment of antioxidant capacity. Phytochemistry Letters 20: 331–338.10.1016/j.phytol.2016.12.001
  15. Piasecka A., Sawikowska A., Krajewski P., Kachlicki P. (2016): Combined mass spectrometric and chromatographic methods for in-depth analysis of phenolic secondary metabolites in barley leaves. Journal of Mass Spectrometry 50: 513 – 532.10.1002/jms.355725800187
  16. Piasecka A., Sawikowska A., Kuczyńska A., Ogrodowicz P., Mikołajczak K., Krystowiak K., Gudyś K., Guzy-Wróbelska J., Krajewski P., Kachlicki P. (2017): Drought related secondary metabolites of barley (Hordeum vulgare L.) leaves and their association with mQTLs. Plant Journal 89: 898–913.10.1111/tpj.1343027880018
  17. Sawikowska A., Piasecka A., Kachlicki P., Krajewski P. (2018): Separation of co-eluted compounds by clustering and by functional data analysis. Submitted.
  18. Swarcewicz B., Sawikowska A., Marczak Ł., Łuczak M., Ciesiołka D., Krystkowiak K., Kuczyńska A., Piślewska-Bednarek M., Krajewski P., Stobiecki M. (2017): Effect of drought stress on metabolite contents in barley recombinant inbred line population revealed by untargeted GC–MS profiling. Acta Physiol Plant 39: 158.10.1007/s11738-017-2449-y
DOI: https://doi.org/10.2478/bile-2019-0010 | Journal eISSN: 2199-577X | Journal ISSN: 1896-3811
Language: English
Page range: 165 - 181
Published on: Dec 16, 2019
Published by: Polish Biometric Society
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2019 Adam Mieldzioc, Monika Mokrzycka, Aneta Sawikowska, published by Polish Biometric Society
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.