7 papers
A Residual-Shell-Based Lower Bound for Ollivier-Ricci Curvature
Xiang Gu, Huichun Zhang, Jian Sun
Ollivier-Ricci curvature (ORC), defined via the Wasserstein distance that captures rich geometric information, has received growing attention in both theory and applications. Howev…
Learning Continuous Wasserstein Barycenter Space for Generalized All-in-One Image Restoration
Xiaole Tang, Xiaoyi He, Jiayi Xu +2
Despite substantial advances in all-in-one image restoration for addressing diverse degradations within a unified model, existing methods remain vulnerable to out-of-distribution d…
Generating transition states of chemical reactions via distance-geometry-based flow matching
Yufei Luo, Xiang Gu, Jian Sun
Transition states (TSs) are crucial for understanding reaction mechanisms, yet their exploration is limited by the complexity of experimental and computational approaches. Here we…
Towards Prospective Medical Image Reconstruction via Knowledge-Informed Dynamic Optimal Transport
Taoran Zheng, Yan Yang, Xing Li +3
Medical image reconstruction from measurement data is a vital but challenging inverse problem. Deep learning approaches have achieved promising results, but often requires paired m…
Joint Velocity-Growth Flow Matching for Single-Cell Dynamics Modeling
Dongyi Wang, Yuanwei Jiang, Zhenyi Zhang +3
Learning the underlying dynamics of single cells from snapshot data has gained increasing attention in scientific and machine learning research. The destructive measurement techniq…
BaryIR: Learning Multi-Source Unified Representation in Continuous Barycenter Space for Generalizable All-in-One Image Restoration
Xiaole Tang, Xiaoyi He, Xiang Gu +1
Despite remarkable advances made in all-in-one image restoration (AIR) for handling different types of degradations simultaneously, existing methods remain vulnerable to out-of-dis…