4 papers
Elimination Geometry
Mian Huang, Xueqin Wang
This monograph develops elimination geometry (EG), a typed, native-loss, audit-oriented framework for studying when locally optimal objects can be realized by a shared deployment r…
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…
Regionalization of China's PM2.5 through Robust Spatio temporal Functional Clustering Method
Tingyin Wang, Xueqin Wang, Xiaobo Guo +1
The patterns of particulate matter with diameters that are generally 2.5 micrometers and smaller (PM2.5) are heterogeneous in China nationwide but can be homogeneous region-wide. T…
Reconstruct Ising Model with Global Optimality via SLIDE
Xuanyu Chen, Jin Zhu, Junxian Zhu +2
The reconstruction of interaction networks between random events is a critical problem arising from statistical physics and politics, sociology, biology, psychology, and beyond. Th…