Hello! I am a Fifth year PhD candidate on the Algorithms, Combinatorics and Optimization program at Carnegie Mellon University, a joint program between the school of Computer Science, Mathematical sciences and Operation's Research. I am currently working with professor R.Ravi on linear approximations of semidefinite programs and other combinatorial problems. I obtained a M.S and B.S in Mathematics from Universidad de los Andes, Bogota, Colombia. I wrote my master thesis under the supervision of Professor Mauricio Velasco. I am interested on building scalable tools to solve large, non-linear mixed-integer problems. I have also worked in different projects in the industry applying machine learning and statistics tools.
Papers
Instance-specific linear relaxations of semidefinite optimization problems. With R.Ravi a R.Carr. To be sumbitted to Mathematical Programming and computation. Arxiv version soon!
Vector Clock Optimization via Latency Lengths. With Chen, Da Qi and de Roux, Daniel and Ravi, R. To be submitted to IPCO 2024. Arxiv version soon!
"Graph Clustering and the Nuclear Wasserstein Metric." With Mauricio Velasco (to be submited to ICLR 2024) Arxiv version soon!
"Tax Fraud Detection for Under-Reporting Declarations using an Unsupervised Machine Learning Approach." With Boris Pérez, Andrés Moreno, María del Pilar Villamil and César Figueroa. KDD'18 Proceedings of the 24th ACM SIGKDD InternationalConference on Knowledge Discovery & Data Mining.
Talks
Second order cone relaxation to a graph latency problem. Informs annual conference, Phoenix, 2023.
Instance-specific linear relaxations of semidefinite optimization problems. Informs annual conference, Indianapolis, 2022.
Second order cone relaxation to a graph latency problem. Informs annual conference, Phoenix, 2023.
"Graph Learning and the Wasserstein metric." 23'rd International Symposium on Mathematical Programming. ISMP Bordeaux, 2018.
"Random Graph Summaries. " ECO Research Group: Statistics, Control and Optimization. Universidad de los Andes, November 2018.
"Resumenes de grafos aleatorios." Matemáticas por estudiandes. Universidad de los Andes, December 2018.
Posters
"Tax Fraud Detection for Under-Reporting Declarations using an Unsupervised Machine Learning Approach." Primera Conferencia Colombiana de Matemáticas
Industriales y Aplicadas, MAPI 1, Bogotá, August 2018.