3 papers
eess.SP2026
Beyond the Flat-Spike: Adaptive Sparse CCA for Decaying and Unbalanced Signals
Mengchu Xu, Jian Wang, Yonina C. Eldar
Sparse Canonical Correlation Analysis (SCCA) is a fundamental statistical tool for identifying linear relationships in high-dimensional, multi-view data. While minimax theory estab…
cs.IT2026
Achieving Optimal Sample Complexity for a Broader Class of Signals in Sparse Phase Retrieval
Mengchu Xu, Yuxuan Zhang, Jian Wang
Sparse phase retrieval aims to recover a -sparse signal from phaseless measurements. While the theoretically optimal sample complexity for successful recovery is $Ω(k \log…
cs.IT2025
Sparse Principal Component Analysis with Energy Profile Dependent Sample Complexity
Mengchu Xu, Jian Wang, Yonina C. Eldar
We study sparse principal component analysis in the high-dimensional, sample-limited regime, aiming to recover a leading component supported on a few coordinates. Despite extensive…