4 papers
Statistical Inference with Stochastic Gradient Methods under -mixing Data
Ruiqi Liu, Xi Chen, Zuofeng Shang
Stochastic gradient descent (SGD) is a scalable and memory-efficient optimization algorithm for large datasets and stream data, which has drawn a great deal of attention and popula…
Online Statistical Inference for Contextual Bandits via Stochastic Gradient Descent
Xiangyu Chang, Xi Chen, Zehua Lai +3
With the fast development of big data, learning the optimal decision rule by recursively updating it and making online decisions has been easier than before. We study the online st…
Counter-diabatic driving for fast spin control in a two-electron double quantum dot
Yue Ban, Xi Chen
The techniques of shortcuts to adiabaticity have been proposed to accelerate the "slow" adiabatic processes in various quantum systems with the applications in quantum information…
Automorphism and Cohomology II: Complete intersections
Xi Chen, Xuanyu Pan, Dingxin Zhang
We prove that the automorphism group of a general complete intersection in a projective space is trivial with a few well-understood exceptions. We also prove that the automorph…