3 papers
quant-ph2025
Classical and Quantum Algorithms for Topological Invariants of Torus Bundles
Nelson Abdiel Colón Vargas, Carlos Ortiz Marrero
Computing topological invariants of 3-manifolds is generally intractable, yet specialized algebraic structures can enable efficient algorithms. For Witten-Reshetikhin-Turaev (WRT)…
cs.LG2024
Q-LIME : A Quantum-Inspired Extension to LIME
Nelson Colón Vargas
Machine learning models offer powerful predictive capabilities but often lack transparency. Local Interpretable Model-agnostic Explanations (LIME) addresses this by perturbing feat…
cs.CY2024
The Traveling Mailman: Topological Optimization Methods for User-Centric Redistricting
Nelson A. Colón Vargas
This study introduces a new districting approach using the US Postal Service network to measure community connectivity. We combine Topological Data Analysis with Markov Chain Monte…