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Optimization of Computations for Structural Equation Modeling with Applications in Bionformatics

  • MOLECULAR BIOPHYSICS
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Abstract

Structural equation modeling (SEM) is a technique for analysis of linear relations represented as the causal and correlational relationships between observed and latent variables. SEM is a popular tool in a wide range of fields, from the humanities to the natural sciences. Over the past decade, this method has become especially interesting in areas that are at the interface with biology. However, the common assumption that observations are independent is often violated in biological data, which should be taken into account when constructing a mathematical model. In addition, in genome-wide association studies, the time of optimization of model parameters is a critical factor. In this paper, we propose a new SEM model, as well as a fast way to estimate its parameters.

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REFERENCES

  1. A. A. Igolkina and M. G. Samsonova, Biophysics 63, 139 (2018).

    Article  Google Scholar 

  2. X. Lu and T. F. Keenan, Global Change Biology 28, 3083 (2022).

    Article  Google Scholar 

  3. A. A. Igolkina, C. Armoskus, J. R. Newman, et al., Front. Mol. Neurosci. 11, 00192 (2018).

    Article  Google Scholar 

  4. A. A. Igolkina, G. Meshcheryakov, M. V. Gretsova, et al., BMC Genomics 21, 490 (2020).

    Article  Google Scholar 

  5. C. Lippert, J. Listgarten, Y. Liu, et al., Nat. Methods 8, 833 (2011).

    Article  Google Scholar 

  6. A. A. Igolkina and G. Meshcheryakov, Struct. Equation Model.: Multidiscip. J. 27, 952 (2020).

    Article  Google Scholar 

  7. A. K. Gupta and D. K. Nagar, Matrix Variate Distributions (Routledge, London, 1999).

    MATH  Google Scholar 

  8. J. Goudet, T. Kay, and B. S. Weir, Mol. Ecol. 27, 4121 (2018).

    Article  Google Scholar 

  9. C. E. Rasmussen, Gaussian Processes in Machine Learning (Springer, Berlin, 2003).

    MATH  Google Scholar 

  10. S. Ubaru, J. Chen, and Y. Saad, SIAM J. Matrix Anal. Appl. 38, 1075 (2017).

    Article  MathSciNet  Google Scholar 

  11. R. Border and S. Becker, BMC Bioinformatics 20, 411 (2019).

    Article  Google Scholar 

  12. G. A. Meshcheryakov, Proceedings XXI All-Russian Conference of Young Scientists on Mathematical Modeling and Information Technology (2020), pp. 27–28.

  13. G. Pleiss, J. Gardner, K. Weinberger, and A. Willson, in Proc. Int. Conf. Machine Learning (2018). https://doi.org/10.48550/arXiv.1803.06058

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Funding

This study was supported by the Russian Foundation for Basic Research (grant no. 18-29-13033).

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Correspondence to M. G. Samsonova.

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Conflict of interest. The authors declare that they have no conflicts of interest.

Statement of the welfare of animals. The article does not contain any studies involving animals in experiments performed by any of the authors.

Additional information

Translated by M. Batrukova

Abbreviations: SEM, structural equation modelling; GWAS, genome-wide association studies; LMM, linear mixed model; GP, Gaussian process.

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Meshcheryakov, G.A., Zuev, V.A., Igolkina, A.A. et al. Optimization of Computations for Structural Equation Modeling with Applications in Bionformatics. BIOPHYSICS 67, 353–355 (2022). https://doi.org/10.1134/S0006350922030149

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  • DOI: https://doi.org/10.1134/S0006350922030149

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