About Me
Assistant Professor of Computational Applied Mathematics and Operations Research at Rice University.
My Research
I develop mathematical models and algorithms/solutions with provable guarantees to support decision-making in online (sequential) environments.
Background
- Ph.D. in Algorithms, Combinatorics, and Optimization (ACO) from the Georgia Institute of Technology (advisors Mohit Singh and Alejandro Toriello)
- B.Eng. and M.S. in Applied Math from Universidad de Chile.
Papers
- Kernel Methods for Refined Prophet Inequalities. P. Loiseau, M. Molina, V. Perchet, SP-S, V. Verdugo.
- Online Contract Selection for Continual Coverage. Q. Chi, SP-S.
- Prophet Inequalities with Delayed and Uncertain Acceptance. E. Martinez, F. Garrido-Lucero, U. Grandi, SP-S.
- Competition Versus Complexity in Multiple-Selection Prophet Inequalities. E. Cruz-Ossa, SP-S, V. Verdugo.
– Extended Abstract in WINE 2026. - Sequential Selection with Expirations. Y. Xu, R. Ghuge, and SP-S.
- Optimal Guarantees for Online Selection Over Time. SP-S, and V. Verdugo.
– Extended Abstract in WINE 2024. - Maximin Online k-Selection. SP-S, A. Torrico. Operations Research (Forthcoming).
- Residual Prophet Inequalities. J. Correa, D. Pizarro, SP-S, B. Ziliotto. Mathematical Programming (Forthcoming).
– Extended Abstract in EC 2025. - Online Selection with Uncertain Disruption. Y. Xu, S. Kerimov, and SP-S. Operations Research 2026.
– Extended Abstract in WINE 2025. - Splitting Guarantees for Prophet Inequalities via Nonlinear Systems. J. Brustle, SP-S, and V. Verdugo. Mathematics of Operations Research 2025.
– Extended Abstract in WINE 2024. - The IID Prophet Inequality with Limited Flexibility. SP-S, M. Singh, A. Toriello. Mathematics of Operations Research 2025.
- Robust Online Selection with Uncertain Offer Acceptance. SP-S, M. Singh, A. Toriello. Mathematics of Operations Research 2024.
- On First-Order Meta-Reinforcement Learning with Moreau Envelopes. M. Toghani, SP-S, C. A. Uribe. Proceedings of the 2023 62nd IEEE Conference on Decision and Control (CDC).
- Adaptive Bin Packing with Overflow. SP-S, M. Singh and A. Toriello. Mathematics of Operations Research 2022. (Talk in AGCO Seminar).
– Honorable mention, 2022 INFORMS Optimization Society 2022 Student Paper Prize. - Dynamic Resource Allocation in the Cloud with Near-Optimal Efficiency. SP-S, I. Menache, M. Singh and A. Toriello. Operations Research, 2021.
– Runner-up, 2019 INFORMS Computing Society Student Paper Prize (Highlight) - Preserving Diversity when Partitioning: A Geometric Approach. SP-S, A. Torrico, V. Verdugo. In ACM conference on Equity and Access in Algorithms, Mechanisms, and Optimization (EAAMO 2021).
- Differentially Private Online Submodular Maximization. SP-S and R. Cummings. In Proceedings of the 24th International Conference on Artificial Intelligence and Statistics (AISTATS 2021).
- Graph reconstruction in the congested clique. P. Montealegre, SP-S, I. Rapaport, I. Todinca. Journal of Computer and System Sciences (2020).
- Two rounds are enough for reconstructing any graph (class) in the congested clique model. P. Montealegre, SP-S, I. Rapaport and I. Todinca. In Proceedings of the 25th International Colloquium on Structural Information and Communication Complexity (SIROCCO 2018).
Theses
- El problema de la degenerancia de grafos en Congested Clique (in Spanish). M.S. in Applied Math thesis, Universidad de Chile, 2016.
- New benchmarking techniques in resource allocation problems: theory and applications in cloud systems. Ph.D. ACO thesis, Georgia Tech, 2022.
Contact
Computational Applied Mathematics and Operations Research, Rice University.
Duncan Hall 2007.
Houston, Texas.
e-mail: sperez [at] rice [dot] edu
