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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Graph Refinement via Simultaneously Low-rank and Sparse Approximation
低秩 稀疏近似 图细化
2023/4/18
Graphs play an important role in many fields of machine learning such as clustering. Many graph-based machine learning approaches assume that the graphs have hidden group structures. However, the grou...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Low Rank Matrix Recovery for Seismic Data Analysis and Blind Superresolution
地震数据分析 盲超分辨率 低秩 矩阵恢复
2023/4/19
Low rank matrix recovery is about reconstructing a low rank matrix from incomplete measurements. It arises frequently in many research areas of science and engineering, for example, machine learning, ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The constant rank theorem and its applications
常秩定理 半线性方程组 规定曲率 克里斯托费尔-闵可夫斯基问题 魏因加滕曲率问题
2023/5/6
The constant rank theorem was initially developed by Caffarelli-Friedman in 1985 in two-dimensions for convex solutions of semilinear equations. Later, Korevaar-Lewis extended the result to higher dim...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Dynamic copula-based nonparametric estimation of rank-tracking probabilities with longitudinal data
动态copula 纵向数据秩 跟踪概率 非参数估计
2023/5/10
The rank-tracking probability (RTP) is a useful statistical index for measuring the ``tracking ability'' of longitudinal disease risk factors in biomedical studies. A flexible nonparametric method for...