7 papers
High-dimensional online learning via asynchronous decomposition: Non-divergent results, dynamic regularization, and beyond
Shixiang Liu, Zhifan Li, Hanming Yang +1
Existing high-dimensional online learning methods often face the challenge that their error bounds, or per-batch sample sizes, diverge as the number of data batches increases. To a…
OrthoDiffusion: A Generalizable Multi-Task Diffusion Foundation Model for Musculoskeletal MRI Interpretation
Tian Lan, Lei Xu, Zimu Yuan +8
Musculoskeletal disorders represent a significant global health burden and are a leading cause of disability worldwide. While MRI is essential for accurate diagnosis, its interpret…
Learning Joint Graphical Model with Computational Efficiency, Dynamic Regularization, and Adaptation
Shixiang Liu, Yanhang Zhang, Zhifan Li +1
Multi-sourced datasets are common in studies of variable interactions, for example, individual-level fMRI integration, cross-domain recommendation, etc, where each source induces a…
Exact recovery in the double sparse model: sufficient and necessary signal conditions
Shixiang Liu, Zhifan Li, Yanhang Zhang +1
The double sparse linear model, which has both group-wise and element-wise sparsity in regression coefficients, has attracted lots of attention recently. This paper establishes the…
Diffusion-Based Cross-Modal Feature Extraction for Multi-Label Classification
Tian Lan, Yiming Zheng, Jianxin Yin
Multi-label classification has broad applications and depends on powerful representations capable of capturing multi-label interactions. We introduce \textit{Diff-Feat}, a simple b…
Rethinking Hard Thresholding Pursuit: Full Adaptation and Sharp Estimation
Yanhang Zhang, Zhifan Li, Shixiang Liu +2
Hard Thresholding Pursuit (HTP) has aroused increasing attention for its robust theoretical guarantees and impressive numerical performance in non-convex optimization. In this pape…