3 papers
math.ST2026
Robust Multi-Task Learning for Principal Component Analysis
Dali Liu, Haolei Weng
Principal component analysis (PCA) is a fundamental tool for learning low-dimensional structure from high-dimensional data. When data are collected from multiple sources, the under…
stat.ML2025
Transfer Learning for Matrix Completion
Dali Liu, Haolei Weng, Yuying Xie
In this paper, we explore the knowledge transfer under the setting of matrix completion, which aims to enhance the estimation of a low-rank target matrix with auxiliary data availa…
math.ST2024
Sharp Bounds for Multiple Models in Matrix Completion
Dali Liu, Haolei Weng
In this paper, we demonstrate how a class of advanced matrix concentration inequalities, introduced in \cite{brailovskaya2024universality}, can be used to eliminate the dimensional…