Mario Alberto Diaz Torres

Postdoctoral Research Scholar
Candidate Member of the National System of Researchers (SNI)
Centro de Investigación en Matemáticas A.C.
Curriculum Vitae


Interests

My main areas of interest are information theory, random matrix theory, free probability theory, and their applications to privacy, statistical learning theory and communications.


Publications and Preprints

Journal Papers

·  Estimation efficiency under privacy constraints. With S. Asoodeh, F. Alajaji and T. Linder. IEEE Transactions on Information Theory, 2019. DOI:10.1109/TIT.2018.2865558

·  On the capacity of block multiantenna channels. With V. Pérez-Abreu. IEEE Transactions on Information Theory, 2017. DOI:10.1109/TIT.2017.2712711

·  Information extraction under privacy constraints. With S. Asoodeh, F. Alajaji and T. Linder. Information, 2016. DOI:10.3390/info7010015

·  On the robustness of information-theoretic privacy measures and mechanisms. With H. Wang, F. P. Calmon and L. Sankar. Submitted. arXiv:1811.06057

·  On the global fluctuations of block Gaussian matrices. With S. Belinschi and J. Mingo. Submitted. arxiv:1711.07140

 

Conference Papers
·  The utility cost of robust privacy guarantees. With H. Wang, F. P. Calmon and L. Sankar. International Symposium on Information Theory (ISIT), 2018. DOI:10.1109/ISIT.2018.8437735

·  Privacy-aware guessing efficiency. With S. Asoodeh, F. Alajaji and T. Linder. International Symposium on Information Theory (ISIT), 2017. DOI:10.1109/ISIT.2017.8006629

·  On the symmetries and the capacity achieving input covariance matrices of multiantenna channels. International Symposium on Information Theory (ISIT), 2016. DOI:10.1109/ISIT.2016.7541464
·  On the performance of finite-capacity adversaries in fairness and privacy. With C. Huang, L. Sankar and P. Kairouz. Submitted.
·  Generalization bounds via Wasserstein distance. With H. Wang, JCS Santos Filho and F. P. Calmon. Submitted.

·  A tunable loss function for binary classification. With T. Sypherd, L. Sankar and P. Kairouz. Submitted. arXiv:1902.04639

 

Theses

·  PhD Thesis: Global Fluctuations of Random Matrices and the Second-Order Cauchy Transform. Advisors: S. Belinschi and J. Mingo

·  MSc Thesis: Analysis of the Asymptotic Spectra of Multiantenna Channels via Free Probability*. Advisor: V. Pérez-Abreu

·  BEng Thesis: Analysis of the Asymptotic Ergodic Spectral Efficiency of MIMO Systems with Kronecker Correlation*. Advisor: V. Pérez-Abreu

* Written in Spanish


Teaching

·  Teoría Matemática para Aprendizaje Máquina. Universidad de Guanajuato, 2019
·  Matrices Aleatorias: Teoría y Aplicaciones Contemporáneas. Centro de Investigación en Matemáticas A.C., 2018


Miscellaneous Academic Activities

·  Co-organizer of the XVII Escuela de Probabilidad y Estadística
·  Organizer of the Seminario de Matrices Aleatorias y Probabilidad Libre (MAPLe)
·  Member of the Red Mexicana de Matrices Aleatorias, Probabilidad No Conmutativa y Temas Afines

 

Last update: February, 2019