7 papers
Model Reduction of Multivariate Geometric Brownian Motions and Localization in a Two-State Quantum System
C. Chen, M. Colangeli, M. H. Duong +1
We develop a systematic framework for the model reduction of multivariate geometric Brownian motions (GBMs), a fundamental class of stochastic processes with broad applications in…
Which Directions Matter? Sparse Design for Affine Robust Optimization
Pedro Chumpitaz-Flores, My Duong, Juan S. Borrero +1
Robust machine learning and optimization rely on the uncertainty model choice. We investigate which uncertainty directions a model must cover when defined by a finite dictionary an…
PASS: Certified Subset Repair for Classical and Quantum Pairwise Constrained Clustering
Pedro Chumpitaz-Flores, My Duong, Ying Mao +1
Pairwise-constrained clustering incorporates side information through must-link (ML) and cannot-link (CL) relations between samples. While these constraints can improve cluster qua…
qc-kmeans: A Quantum Compressive K-Means Algorithm for NISQ Devices
Pedro Chumpitaz-Flores, My Duong, Ying Mao +1
Clustering on NISQ hardware is constrained by data loading and limited qubits. We present \textbf{qc-kmeans}, a hybrid compressive -means that summarizes a dataset with a consta…
QIBONN: A Quantum-Inspired Bilevel Optimizer for Neural Networks on Tabular Classification
Pedro Chumpitaz-Flores, My Duong, Ying Mao +1
Hyperparameter optimization (HPO) for neural networks on tabular data is critical to a wide range of applications, yet it remains challenging due to large, non-convex search spaces…
A Scalable Global Optimization Algorithm For Constrained Clustering
Pedro Chumpitaz-Flores, My Duong, Cristobal Heredia +1
Constrained clustering leverages limited domain knowledge to improve clustering performance and interpretability, but incorporating pairwise must-link and cannot-link constraints i…