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.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…
cs.IT2025
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 n…