About
I am currently a Ph.D. student in the Department of Mathematics at NC State University, under the mentorship of Professor Patrick L. Combettes. In 2022, I successfully completed my MSc degree in Mathematics Engineering at the University of Chile, where I received valuable guidance from Professor Héctor Ramírez C. Prior to pursuing my graduate studies, I gained practical experience as an Undergraduate Research Assistant at NIC Chile Research Labs, where my work was centered around the implementation of Stochastic and Optimization Models in the context of Internet Quality of Service (QoS) research. My research interests are optimization, nonlinear analysis, convex optimization, and variational analysis.
SAS Hall 4125; jimadari [at] ncsu.edu
Publications
Preprints
- P. L. Combettes and J. I. Madariaga, Almost-surely convergent randomly activated monotone operator splitting methods. [arXiv]
2024
2021
- D. Madariaga, L. Torrealba, J. I. Madariaga, J. Bustos-Jiménez, and B. Bustos, PePa Ping Dataset: Comprehensive Contextualization of Periodic Passive Ping in Wireless Networks ACM Multimedia Systems Conference (MMSys ‘21), pp. 274-280, 2021. [pdf]
- D. Madariaga, J. I. Madariaga, J. Bustos-Jiménez, and B. Bustos, Improving Signal Strength Aggregation for Mobile Crowdsourcing Scenarios, MDPI Sensors, vol. 21, p. 1084, 2021. [pdf]
- D. Madariaga, J. I. Madariaga, M. Panza, J. Bustos-Jiménez, and B. Bustos, Detecting Anomalies at a TLD Name Server Based on DNS Traffic Predictions, IEEE Transactions on Network and Service Management, vol. 18, pp. 1016-1030, 2021. [pdf]
2020
- D. Madariaga, L. Torrealba, J. I. Madariaga, J. Bermúdez, and J. Bustos-Jiménez, Analyzing the Adoption of QUIC From a Mobile Development Perspective, Proceedings of the Workshop on Evolution, Performance, and Interoperability of QUIC (EPIQ ‘20). ACM, pp 35-41, 2020. [pdf]
Teaching
North Carolina State University, Department of Mathematics
- Calculus II (TA) [2024 Fall]
- Calculus for Life and Management Sciences A (TA) [2024 Spring]
University of Chile, Faculty of Physical and Mathematical Sciences
- Modeling and Optimization (TA) [2022 Fall]
- Nonlinear Optimization (TA) [2021 Fall]
- Stochastic Models in Engineering Systems (TA) [2020 Spring]
- Optimal Control: Theory and Laboratory (TA) [2020 Spring; 2021 Spring; 2022 Spring]
- Mathematical Optimization (TA) [2020 Fall]
- Measure Theory (TA) [2019 Spring]
- Advanced Calculus (TA) [2018 Spring]
- Linear Algebra (TA) [2017 Spring]
Theses
- Condiciones de optimalidad para la programación cónica con restricciones de complementariedad, Master’s Thesis, Universidad de Chile, 2022. [pdf (in Spanish)]