Locality regularized reconstruction: structured sparsity and Delaunay triangulations

• Published in: Sampling theory, signal processing, and data analysis Vol. 23; no. 2
• Main Authors: Mueller, Marshall, Murphy, James M., Tasissa, Abiy
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.12.2025
• Subjects: Abstract Harmonic Analysis; Machine Learning; Mathematics; Mathematics and Statistics; Original Article; Signal,Image and Speech Processing; Computational geometry; 65F22; 90C25; Delaunay triangulation; 52C35; 68U05; 94A12; Regularization; 42C15; Optimization; Sparse signal processing

Linear representation learning is widely studied due to its conceptual simplicity and empirical utility in tasks such as compression, classification, and feature extraction. Given a set of points and a vector , the goal is to find coefficients so that , subject to some desired structure on . In this...