A Non-iterative Parallelizable Eigenbasis Algorithm for Johnson Graphs

Autor: Abascal, Jackson, Bah, Amadou, Banuelos, Mario, Uminsky, David, Vasquez, Olivia

We present a new $O(k^2 \binom{n}{k}^2)$ method for generating an orthogonal basis of eigenvectors for the Johnson graph $J(n,k)$. Unlike standard methods for computing a full eigenbasis of sparse symmetric matrices, the algorithm presented here is n

Externí odkaz: http://arxiv.org/abs/1812.04230

Developing Statistical Models for the Analysis of Genomic Variants

Autor: Banuelos, Mario

Publikováno v: Banuelos, Mario. (2018). Developing Statistical Models for the Analysis of Genomic Variants. UC Merced: Applied Mathematics. Retrieved from: http://www.escholarship.org/uc/item/5278p7dz

I develop a number of mathematical and statistical models for the study of genomic variation within and between species. These variants affect an organism's susceptibility to genetic diseases and are also responsible for speciation events. In particu

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od_______325::d9ca041d36d72f49579420d15e639ed9
http://www.escholarship.org/uc/item/5278p7dz

Sparse signal recovery methods for variant detection in next-generation sequencing data.

Autor: Banuelos, Mario, Almanza, Rubi, Adhikari, Lasith, Sindi, Suzanne, Marcia, Roummel F.

Publikováno v: 2016 IEEE International Conference on Acoustics, Speech & Signal Processing (ICASSP); 2016, p864-868, 5p

Constrained variant detection with SPaRC: Sparsity, parental relatedness, and coverage.

Autor: Banuelos M, Almanza R, Adhikari L, Marcia RF, Sindi S

Publikováno v: Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual International Conference [Annu Int Conf IEEE Eng Med Biol Soc] 2016 Aug; Vol. 2016, pp. 3490-3493.